UniformSampleCone, z

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze126.0ms (2.3%)

Memory
9.5MiB live, 123.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
25%0%0.1%99.9%0%0%0%3
25%0%0.1%99.9%0%0%0%4
37.5%0%0.1%99.9%0%0%0%5
56.2%0.1%0%99.9%0%0%0%6
56.2%0.1%0%99.9%0%0%0%7
65.6%0.1%0%99.9%0%0%0%8
76.6%0.1%0%99.9%0%0%0%9
76.6%0.1%0%99.9%0%0%0%10
82%0.1%0%99.9%0%0%0%11
87.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (18%)

Memory
94.4MiB live, 1 380.0MiB allocated
Samples
659.0ms8 167×0valid
12.0ms89×1valid
Precisions
Click to see histograms. Total time spent on operations: 466.0ms
const: 138.0ms (29.6% of total)
ival-<=: 128.0ms (27.4% of total)
ival-mult: 61.0ms (13.1% of total)
ival-sub: 53.0ms (11.4% of total)
ival-add: 42.0ms (9% of total)
ival-and: 31.0ms (6.6% of total)
exact: 9.0ms (1.9% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain281.0ms (5%)

Memory
-49.4MiB live, 90.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
21.0ms510×0valid
0.0ms2×1valid
Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (32.1% of total)
ival-add: 2.0ms (21.4% of total)
ival-sub: 2.0ms (21.4% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess62.0ms (1.1%)

Memory
22.7MiB live, 59.7MiB allocated
Algorithm
1×egg-herbie
Rules
384×lower-fma.f64
384×lower-fma.f32
348×sub-neg
248×cancel-sign-sub-inv
204×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02572
17863
221563
358663
4130163
5167963
6180963
7182963
067
097
1177
2357
3647
41437
52907
64267
74647
84697
04696
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
Symmetry

(abs uy)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify22.0ms (0.4%)

Memory
-17.8MiB live, 22.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 ux maxCos)
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Rules
384×lower-fma.f64
384×lower-fma.f32
160×lower-*.f64
158×lower-*.f32
120×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11716
23516
36416
414316
529016
642616
746416
846916
046915
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
maxCos
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize15.0ms (0.3%)

Memory
23.3MiB live, 23.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0
(*.f32 ux maxCos)
accuracy0.0390625
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.7% of total)
ival-add: 1.0ms (21.9% of total)
ival-sub: 1.0ms (21.9% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-30.4MiB live, 7.0MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())
Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
ux
@inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms
ux
@-inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms
maxCos
@-inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms
maxCos
@0
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms
maxCos
@inf
((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))

simplify158.0ms (2.8%)

Memory
40.3MiB live, 113.8MiB allocated
Algorithm
1×egg-herbie
Rules
5 316×lower-fma.f64
5 316×lower-fma.f32
2 146×div-sub
2 012×lower-*.f64
2 012×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3848250
42091250
53292250
64316250
75345250
86781250
97325250
107658250
117962250
08013232
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)

rewrite171.0ms (3.1%)

Memory
-12.0MiB live, 207.7MiB allocated
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
4 062×lower-*.f64
4 060×lower-*.f32
2 014×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14213
234313
3526813
0896812
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 311
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
Outputs
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eval36.0ms (0.6%)

Memory
41.8MiB live, 75.5MiB allocated
Compiler

Compiled 6 295 to 781 computations (87.6% saved)

prune14.0ms (0.3%)

Memory
-7.9MiB live, 28.6MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3665371
Fresh000
Picked011
Done000
Total3666372
Accuracy
100.0%
Counts
372 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶12.4%
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
▶99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶98.9%
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶96.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶72.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 109 to 91 computations (16.5% saved)

simplify221.0ms (4%)

Memory
1.9MiB live, 212.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
cost-diff0
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))
cost-diff0
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
cost-diff64
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
cost-diff0
(*.f32 maxCos ux)
cost-diff0
(-.f32 ux (*.f32 maxCos ux))
cost-diff64
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Rules
14 862×lower-fma.f64
14 858×lower-fma.f32
3 380×lower-*.f64
3 376×lower-*.f32
3 080×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025161
040149
184149
2238149
3876149
42544149
57990149
08003149
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
#s(literal 3 binary32)
(pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))
(*.f32 maxCos ux)
maxCos
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
#s(literal 3 binary32)
(pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))
(*.f32 maxCos ux)
maxCos
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
#s(literal 2 binary32)

localize84.0ms (1.5%)

Memory
9.2MiB live, 120.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
accuracy0.48083881837909415
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
accuracy7.848375985099048
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
accuracy8.252371315099863
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy0
(*.f32 ux maxCos)
accuracy0.0234375
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
accuracy0.140625
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
accuracy0.3359375
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.9704660016065197
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy8.079859676457941
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy0
(*.f32 maxCos ux)
accuracy0.0078125
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy0.021816259768442016
(-.f32 ux (*.f32 maxCos ux))
Samples
62.0ms246×0valid
7.0ms10×5exit
Compiler

Compiled 162 to 25 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sub: 15.0ms (27% of total)
ival-pow: 15.0ms (27% of total)
ival-div: 10.0ms (18% of total)
ival-add: 5.0ms (9% of total)
ival-mult: 5.0ms (9% of total)
adjust: 3.0ms (5.4% of total)
ival-pow2: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.5%)

Memory
-35.6MiB live, 52.6MiB allocated
Counts
16 → 324
Calls
Call 1
Inputs
#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())
#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())
#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -1 (* maxCos ux))) ux) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) ux))) ux) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* maxCos (- (/ (* maxCos (* ux (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) (- 1 ux)) (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) ux))) ux) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 3) (taylor 0 maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (pow maxCos 3) (pow ux 3))) (pow (- 1 ux) 3)) (taylor 0 maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (pow maxCos 3) (pow ux 3))) (pow (- 1 ux) 3)) (taylor 0 maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (pow maxCos 3) (pow ux 3))) (pow (- 1 ux) 3)) (taylor 0 maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ (* -1 ux) (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (pow maxCos 2)))) (* -1 (/ (- 1 ux) maxCos)))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ (* -1 ux) (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) (* (pow maxCos 3) ux))) (+ (* -1 (/ (- 1 ux) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux)))))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 3) (pow ux 3))) (taylor inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (- (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3))) (taylor inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (- (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3))) (taylor inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (- (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3))) (taylor inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (patch (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux))))) (taylor -inf ux) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (* 2 (/ 1 ux)))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux)))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux)))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
maxCos
@0
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (- 1 ux))) (+ (/ 1 (/ 1 (- 1 ux))) (* ux maxCos)) (/ 1 (- 1 ux)) (/ (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (pow (- 1 ux) 3) (* ux maxCos) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 2))
3.0ms
ux
@inf
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (- 1 ux))) (+ (/ 1 (/ 1 (- 1 ux))) (* ux maxCos)) (/ 1 (- 1 ux)) (/ (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (pow (- 1 ux) 3) (* ux maxCos) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 2))
3.0ms
ux
@-inf
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (- 1 ux))) (+ (/ 1 (/ 1 (- 1 ux))) (* ux maxCos)) (/ 1 (- 1 ux)) (/ (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (pow (- 1 ux) 3) (* ux maxCos) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 2))
2.0ms
ux
@0
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (- 1 ux))) (+ (/ 1 (/ 1 (- 1 ux))) (* ux maxCos)) (/ 1 (- 1 ux)) (/ (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (pow (- 1 ux) 3) (* ux maxCos) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 2))
2.0ms
maxCos
@inf
((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ 1 (/ 1 (- 1 ux))) (+ (/ 1 (/ 1 (- 1 ux))) (* ux maxCos)) (/ 1 (- 1 ux)) (/ (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3)) (pow (- 1 ux) 3) (* ux maxCos) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 2))

simplify211.0ms (3.8%)

Memory
-7.5MiB live, 211.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 784×lower-fma.f64
7 784×lower-fma.f32
5 070×lower-*.f64
5 070×lower-*.f32
2 976×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04463419
114553216
251503167
087202976
Stop Event
1×iter limit
1×node limit
Counts
324 → 323
Calls
Call 1
Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* -1 (* maxCos ux))) ux)
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) ux))) ux)
(- (+ 1 (* maxCos (- (* maxCos (- (/ (* maxCos (* ux (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) (- 1 ux)) (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) ux))) ux)
(pow (- 1 ux) 3)
(+ (* -1 (* (pow maxCos 3) (pow ux 3))) (pow (- 1 ux) 3))
(+ (* -1 (* (pow maxCos 3) (pow ux 3))) (pow (- 1 ux) 3))
(+ (* -1 (* (pow maxCos 3) (pow ux 3))) (pow (- 1 ux) 3))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(pow (- 1 ux) 2)
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (+ (* -1 ux) (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (pow maxCos 2)))) (* -1 (/ (- 1 ux) maxCos))))
(* maxCos (- (+ (* -1 ux) (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) (* (pow maxCos 3) ux))) (+ (* -1 (/ (- 1 ux) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* (pow maxCos 3) (- (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(* (pow maxCos 3) (- (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(* (pow maxCos 3) (- (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ (* -1 (/ (pow (- 1 ux) 2) (* maxCos ux))) (/ (pow (- 1 ux) 2) (* maxCos ux))) (* -1 (- 1 ux))) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (* -1 (/ (- (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) (* maxCos ux)) (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux))) maxCos)) (* -1 (- 1 ux))) maxCos)))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* -1 (* (pow maxCos 3) (- (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (- (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (- (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
1
(+ 1 (* -1 (* ux (+ 1 maxCos))))
(+ 1 (* ux (- (* ux (- 2 (+ (* -1 (* (+ 1 maxCos) (- maxCos 2))) (* maxCos (- maxCos 1))))) (+ 1 maxCos))))
(+ 1 (* ux (- (* ux (- (+ 2 (* ux (- (* -1 (+ 1 (pow maxCos 3))) (+ (* -1 (* (+ 1 maxCos) (+ 1 (* maxCos (- maxCos 1))))) (* (- 2 (+ (* -1 (* (+ 1 maxCos) (- maxCos 2))) (* maxCos (- maxCos 1)))) (- maxCos 2)))))) (+ (* -1 (* (+ 1 maxCos) (- maxCos 2))) (* maxCos (- maxCos 1))))) (+ 1 maxCos))))
1
(+ 1 (* -3 ux))
(+ 1 (* ux (- (* 3 ux) 3)))
(+ 1 (* ux (- (* ux (+ 3 (* -1 (* ux (+ 1 (pow maxCos 3)))))) 3)))
1
(+ 1 (* -3 ux))
(+ 1 (* ux (- (* 3 ux) 3)))
(+ 1 (* ux (- (* ux (+ 3 (* -1 ux))) 3)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
1
(+ 1 (* -2 ux))
(+ 1 (* ux (- ux 2)))
(+ 1 (* ux (- ux 2)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(* -1 (/ (* ux (+ 1 (pow maxCos 3))) (+ 1 (* maxCos (- maxCos 1)))))
(* ux (- (+ (* -1 (/ (+ 1 (pow maxCos 3)) (+ 1 (* maxCos (- maxCos 1))))) (/ 3 (* ux (+ 1 (* maxCos (- maxCos 1)))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (* ux (pow (+ 1 (* maxCos (- maxCos 1))) 2))))))
(* ux (- (+ (* -1 (/ (+ 1 (pow maxCos 3)) (+ 1 (* maxCos (- maxCos 1))))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow maxCos 3)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))) (+ (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (/ (* (- maxCos 2) (- (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))))) (+ 1 (* maxCos (- maxCos 1)))))) (pow ux 2))) (/ 3 (* ux (+ 1 (* maxCos (- maxCos 1))))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (* ux (pow (+ 1 (* maxCos (- maxCos 1))) 2))))))
(* ux (- (+ (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (* (pow ux 3) (pow (+ 1 (* maxCos (- maxCos 1))) 3)))) (+ (* -1 (/ (+ 1 (pow maxCos 3)) (+ 1 (* maxCos (- maxCos 1))))) (+ (/ 1 (* (pow ux 3) (+ 1 (* maxCos (- maxCos 1))))) (/ 3 (* ux (+ 1 (* maxCos (- maxCos 1)))))))) (+ (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (* ux (pow (+ 1 (* maxCos (- maxCos 1))) 2)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ 1 (pow maxCos 3)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))) (+ (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (/ (* (- maxCos 2) (- (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))))) (+ 1 (* maxCos (- maxCos 1)))))) (- maxCos 2)) (* (pow ux 3) (+ 1 (* maxCos (- maxCos 1)))))) (+ (* -1 (/ (+ 1 (pow maxCos 3)) (* (pow ux 2) (pow (+ 1 (* maxCos (- maxCos 1))) 2)))) (+ (* 3 (/ 1 (* (pow ux 2) (+ 1 (* maxCos (- maxCos 1)))))) (+ (/ 3 (* (pow ux 3) (pow (+ 1 (* maxCos (- maxCos 1))) 2))) (/ (* (- maxCos 2) (- (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))))) (* (pow ux 2) (+ 1 (* maxCos (- maxCos 1))))))))))))
(* -1 (* (pow ux 3) (+ 1 (pow maxCos 3))))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (pow maxCos 3))))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (+ (/ 3 (pow ux 2)) (pow maxCos 3)))))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (+ (/ 3 (pow ux 2)) (pow maxCos 3)))))
(* -1 (pow ux 3))
(* (pow ux 3) (- (* 3 (/ 1 ux)) 1))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 2)))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (+ 1 (* maxCos (- maxCos 1))))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(* -1 (/ (* ux (- 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (- (+ (* -1 (/ (- (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) ux)) (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (+ (/ 1 (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)) (/ (* (+ 2 (* -1 maxCos)) (- (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) ux)) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) ux)) (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 3))) (+ (* 3 (/ 1 (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) (/ (* (+ 2 (* -1 maxCos)) (- (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (+ (/ 1 (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)) (/ (* (+ 2 (* -1 maxCos)) (- (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) ux)) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (/ 1 (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)) (/ (* (+ 2 (* -1 maxCos)) (- (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) ux)) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) ux)) (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))
(* -1 (* (pow ux 3) (- 1 (* -1 (pow maxCos 3)))))
(* -1 (* (pow ux 3) (- 1 (+ (* -1 (pow maxCos 3)) (* 3 (/ 1 ux))))))
(* -1 (* (pow ux 3) (- (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux))) (* -1 (pow maxCos 3)))))
(* -1 (* (pow ux 3) (- (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux))) (* -1 (pow maxCos 3)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* -1 (* maxCos ux))) ux)
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) ux))) ux)
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(- (+ 1 (* maxCos (- (* maxCos (- (/ (* maxCos (* ux (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) (- 1 ux)) (+ (* -1 (/ (pow ux 2) (- 1 ux))) (/ (pow ux 2) (- 1 ux))))) ux))) ux)
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(pow (- 1 ux) 3)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
(+ (* -1 (* (pow maxCos 3) (pow ux 3))) (pow (- 1 ux) 3))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))))
(+ (* -1 (* (pow maxCos 3) (pow ux 3))) (pow (- 1 ux) 3))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))))
(+ (* -1 (* (pow maxCos 3) (pow ux 3))) (pow (- 1 ux) 3))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos ux))
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(* maxCos (- (+ (* -1 ux) (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (pow maxCos 2)))) (* -1 (/ (- 1 ux) maxCos))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ (* -1 ux) (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) (* (pow maxCos 3) ux))) (+ (* -1 (/ (- 1 ux) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 3) (pow ux 3)))
(*.f32 (neg.f32 (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(* (pow maxCos 3) (- (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
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(* (pow maxCos 3) (- (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(*.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 3) (- (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
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(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(*.f32 (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos ux))
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(* -1 (* maxCos (+ ux (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ (* -1 (/ (pow (- 1 ux) 2) (* maxCos ux))) (/ (pow (- 1 ux) 2) (* maxCos ux))) (* -1 (- 1 ux))) maxCos)))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ ux (* -1 (/ (- (* -1 (/ (- (/ (* (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux)) (- 1 ux)) (* maxCos ux)) (+ (* -1 (/ (pow (- 1 ux) 2) ux)) (/ (pow (- 1 ux) 2) ux))) maxCos)) (* -1 (- 1 ux))) maxCos)))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 3) (pow ux 3)))
(*.f32 (neg.f32 (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow maxCos 3) (- (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
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(* -1 (* (pow maxCos 3) (- (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
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(* -1 (* (pow maxCos 3) (- (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
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(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(*.f32 (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
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1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 ux)))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(fma.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (* ux (+ 1 maxCos))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(+ 1 (* ux (- (* ux (- 2 (+ (* -1 (* (+ 1 maxCos) (- maxCos 2))) (* maxCos (- maxCos 1))))) (+ 1 maxCos))))
(fma.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 2 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos))) ux (-.f32 #s(literal -1 binary32) maxCos)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (- (+ 2 (* ux (- (* -1 (+ 1 (pow maxCos 3))) (+ (* -1 (* (+ 1 maxCos) (+ 1 (* maxCos (- maxCos 1))))) (* (- 2 (+ (* -1 (* (+ 1 maxCos) (- maxCos 2))) (* maxCos (- maxCos 1)))) (- maxCos 2)))))) (+ (* -1 (* (+ 1 maxCos) (- maxCos 2))) (* maxCos (- maxCos 1))))) (+ 1 maxCos))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 2 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos))) (-.f32 maxCos #s(literal 2 binary32))))) ux #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 2 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos))) ux (-.f32 #s(literal -1 binary32) maxCos)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -3 ux))
(fma.f32 #s(literal -3 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 3 ux) 3)))
(fma.f32 (fma.f32 #s(literal 3 binary32) ux #s(literal -3 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 3 (* -1 (* ux (+ 1 (pow maxCos 3)))))) 3)))
(fma.f32 (fma.f32 (-.f32 #s(literal 3 binary32) (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux)) ux #s(literal -3 binary32)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -3 ux))
(fma.f32 #s(literal -3 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 3 ux) 3)))
(fma.f32 (fma.f32 #s(literal 3 binary32) ux #s(literal -3 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 3 (* -1 ux))) 3)))
(fma.f32 (fma.f32 (-.f32 #s(literal 3 binary32) ux) ux #s(literal -3 binary32)) ux #s(literal 1 binary32))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -2 ux))
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(+ 1 (* ux (- ux 2)))
(fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- ux 2)))
(fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
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(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
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(* maxCos ux)
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(* maxCos ux)
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(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (- maxCos 1))
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(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) ux) #s(literal 1 binary32)) ux)
(* -1 (/ (* ux (+ 1 (pow maxCos 3))) (+ 1 (* maxCos (- maxCos 1)))))
(/.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos #s(literal -1 binary32)))
(* ux (- (+ (* -1 (/ (+ 1 (pow maxCos 3)) (+ 1 (* maxCos (- maxCos 1))))) (/ 3 (* ux (+ 1 (* maxCos (- maxCos 1)))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (* ux (pow (+ 1 (* maxCos (- maxCos 1))) 2))))))
(*.f32 (-.f32 (/.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) ux) (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) ux)
(* ux (- (+ (* -1 (/ (+ 1 (pow maxCos 3)) (+ 1 (* maxCos (- maxCos 1))))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow maxCos 3)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))) (+ (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (/ (* (- maxCos 2) (- (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))))) (+ 1 (* maxCos (- maxCos 1)))))) (pow ux 2))) (/ 3 (* ux (+ 1 (* maxCos (- maxCos 1))))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (* ux (pow (+ 1 (* maxCos (- maxCos 1))) 2))))))
(*.f32 (+.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (/.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (-.f32 #s(literal 2 binary32) maxCos))) (-.f32 maxCos #s(literal 2 binary32)) (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux))) (/.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) ux)) ux)
(* ux (- (+ (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (* (pow ux 3) (pow (+ 1 (* maxCos (- maxCos 1))) 3)))) (+ (* -1 (/ (+ 1 (pow maxCos 3)) (+ 1 (* maxCos (- maxCos 1))))) (+ (/ 1 (* (pow ux 3) (+ 1 (* maxCos (- maxCos 1))))) (/ 3 (* ux (+ 1 (* maxCos (- maxCos 1)))))))) (+ (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (* ux (pow (+ 1 (* maxCos (- maxCos 1))) 2)))) (+ (* -1 (/ (* (+ (* -1 (/ (+ 1 (pow maxCos 3)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))) (+ (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (/ (* (- maxCos 2) (- (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))))) (+ 1 (* maxCos (- maxCos 1)))))) (- maxCos 2)) (* (pow ux 3) (+ 1 (* maxCos (- maxCos 1)))))) (+ (* -1 (/ (+ 1 (pow maxCos 3)) (* (pow ux 2) (pow (+ 1 (* maxCos (- maxCos 1))) 2)))) (+ (* 3 (/ 1 (* (pow ux 2) (+ 1 (* maxCos (- maxCos 1)))))) (+ (/ 3 (* (pow ux 3) (pow (+ 1 (* maxCos (- maxCos 1))) 2))) (/ (* (- maxCos 2) (- (* 3 (/ 1 (+ 1 (* maxCos (- maxCos 1))))) (* -1 (/ (* (+ 1 (pow maxCos 3)) (- maxCos 2)) (pow (+ 1 (* maxCos (- maxCos 1))) 2))))) (* (pow ux 2) (+ 1 (* maxCos (- maxCos 1))))))))))))
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (-.f32 maxCos #s(literal 2 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 3 binary32) (*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux)))) (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (fma.f32 (/.f32 (-.f32 maxCos #s(literal 2 binary32)) ux) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (-.f32 #s(literal 2 binary32) maxCos))) (/.f32 (/.f32 (-.f32 maxCos #s(literal 2 binary32)) ux) ux) (+.f32 (/.f32 (/.f32 #s(literal 3 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 3 binary32) (*.f32 (*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux) ux)))) (fma.f32 (/.f32 (/.f32 (-.f32 maxCos #s(literal 2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (-.f32 #s(literal 2 binary32) maxCos))) (-.f32 maxCos #s(literal 2 binary32)) (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) ux) ux) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))) ux)
(* -1 (* (pow ux 3) (+ 1 (pow maxCos 3))))
(*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (pow maxCos 3))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) ux) #s(literal 1 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (+ (/ 3 (pow ux 2)) (pow maxCos 3)))))
(*.f32 (-.f32 (-.f32 (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux) #s(literal 1 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (+ (/ 3 (pow ux 2)) (pow maxCos 3)))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux) #s(literal 1 binary32))) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (pow ux 3))
(neg.f32 (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (* 3 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 3 binary32) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux) #s(literal 1 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (pow ux 2) (+ 1 (* maxCos (- maxCos 1))))
(*.f32 (*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux) ux)
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) (/.f32 (-.f32 maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (+.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (-.f32 maxCos #s(literal 2 binary32)) ux)) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (+.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (-.f32 maxCos #s(literal 2 binary32)) ux)) #s(literal 1 binary32)) (*.f32 ux ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux)
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))) ux)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)) ux)) (neg.f32 ux))
(* -1 (/ (* ux (- 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(/.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (+ (* -1 (/ (- (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) ux)) (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))
(fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) ux) ux (/.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos #s(literal -1 binary32))))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (+ (/ 1 (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)) (/ (* (+ 2 (* -1 maxCos)) (- (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) ux)) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) ux)) (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))
(*.f32 (-.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (fma.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (-.f32 #s(literal 2 binary32) maxCos))) (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) ux)) ux)) (neg.f32 ux))
(* -1 (* ux (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 3))) (+ (* 3 (/ 1 (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) (/ (* (+ 2 (* -1 maxCos)) (- (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (+ (/ 1 (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)) (/ (* (+ 2 (* -1 maxCos)) (- (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) ux)) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (/ 1 (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)) (/ (* (+ 2 (* -1 maxCos)) (- (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2)))) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) ux)) (* 3 (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (/ (* (+ 2 (* -1 maxCos)) (- 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) 2))) ux)) (/ 1 (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))
(*.f32 (-.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (/.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (fma.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (-.f32 #s(literal 2 binary32) maxCos))) (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 (-.f32 (fma.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (fma.f32 (-.f32 (/.f32 #s(literal 3 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (-.f32 #s(literal 2 binary32) maxCos))) (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (pow.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) ux)) ux)) ux)) (neg.f32 ux))
(* -1 (* (pow ux 3) (- 1 (* -1 (pow maxCos 3)))))
(*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (- 1 (+ (* -1 (pow maxCos 3)) (* 3 (/ 1 ux))))))
(*.f32 (-.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 3 binary32) ux)) (neg.f32 (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow ux 3) (- (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux))) (* -1 (pow maxCos 3)))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux)) (pow.f32 maxCos #s(literal 3 binary32))) (neg.f32 (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow ux 3) (- (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux))) (* -1 (pow maxCos 3)))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) (pow.f32 maxCos #s(literal 3 binary32))) (neg.f32 (pow.f32 ux #s(literal 3 binary32))))
(* -1 (pow ux 3))
(neg.f32 (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux)))))
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -3 binary32) ux) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux)) (neg.f32 (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) (neg.f32 (pow.f32 ux #s(literal 3 binary32))))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (pow ux 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux) ux)
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux)
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux) ux)
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux) ux)

rewrite251.0ms (4.5%)

Memory
2.4MiB live, 187.1MiB allocated
Rules
6 966×lower-fma.f64
6 962×lower-fma.f32
4 908×lower-/.f64
4 902×lower-/.f32
3 744×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025133
040121
1211101
21633101
08382100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 133
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
(*.f32 ux maxCos)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
Outputs
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eval307.0ms (5.5%)

Memory
29.4MiB live, 391.7MiB allocated
Compiler

Compiled 58 738 to 4 445 computations (92.4% saved)

prune33.0ms (0.6%)

Memory
-13.1MiB live, 102.8MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1 85441 858
Fresh000
Picked325
Done011
Total1 85771 864
Accuracy
100.0%
Counts
1 864 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
▶99.9%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
▶98.6%
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶95.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
✓96.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓72.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 56 to 55 computations (1.8% saved)

simplify179.0ms (3.2%)

Memory
19.6MiB live, 95.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (/.f32 ux maxCos) ux)
cost-diff0
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
cost-diff0
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
cost-diff352
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
cost-diff0
(-.f32 #s(literal 1 binary32) maxCos)
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
cost-diff0
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
cost-diff0
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
cost-diff64
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
cost-diff64
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
cost-diff352
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
cost-diff704
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
Rules
8 300×lower-fma.f64
8 300×lower-fma.f32
2 926×lower-*.f64
2 916×lower-*.f32
1 424×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029178
046148
188144
2157144
3288144
4552144
51263138
62743138
74739138
86358138
97359138
08190135
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
ux
(+.f32 ux #s(literal 1 binary32))
(*.f32 ux maxCos)
maxCos
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 #s(literal 1 binary32) maxCos)
maxCos
ux
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(/.f32 ux maxCos)
ux
maxCos
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
ux
(+.f32 ux #s(literal 1 binary32))
(-.f32 ux #s(literal -1 binary32))
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (-.f32 ux (*.f32 maxCos ux))))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
#s(approx (- ux (* maxCos ux)) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 ux (*.f32 maxCos ux))
(-.f32 #s(literal 1 binary32) maxCos)
maxCos
ux
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (-.f32 ux (*.f32 maxCos ux))))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
#s(approx (- ux (* maxCos ux)) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(-.f32 ux (*.f32 maxCos ux))
(-.f32 (/.f32 ux maxCos) ux)
(/.f32 ux maxCos)
ux
maxCos

localize118.0ms (2.1%)

Memory
-12.1MiB live, 137.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
accuracy0.0078125
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
accuracy0.09375
(-.f32 (/.f32 ux maxCos) ux)
accuracy0.140625
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
accuracy0
(-.f32 #s(literal 1 binary32) maxCos)
accuracy0
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
accuracy0.0078125
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
accuracy0.05078125
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
accuracy0.03125
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy0.0703125
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
accuracy0.109375
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
accuracy0.3359375
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.140625
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
accuracy0.3359375
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.9704660016065197
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
Samples
93.0ms246×0valid
7.0ms10×5exit
Compiler

Compiled 144 to 26 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 29.0ms (49.3% of total)
ival-sub: 14.0ms (23.8% of total)
ival-div: 9.0ms (15.3% of total)
ival-add: 4.0ms (6.8% of total)
adjust: 3.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory
-1.7MiB live, 35.5MiB allocated
Counts
17 → 312
Calls
Call 1
Inputs
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())
#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())
#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 ux maxCos) ux) (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())
Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 maxCos)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 maxCos)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 maxCos)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (/ ux maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (/.f32 ux maxCos) ux) (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (/ (+ ux (* -1 (* maxCos ux))) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (/.f32 ux maxCos) ux) (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (/ (+ ux (* -1 (* maxCos ux))) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (/.f32 ux maxCos) ux) (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (/ (+ ux (* -1 (* maxCos ux))) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (/.f32 ux maxCos) ux) (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux))))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux))))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux))))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 maxCos) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) 1)) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) 1)) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) 1)) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf maxCos) (#s(alt (-.f32 (/.f32 ux maxCos) ux) (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (- (/ ux maxCos) ux) (taylor inf maxCos) (#s(alt (-.f32 (/.f32 ux maxCos) ux) (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (- (/ ux maxCos) ux) (taylor inf maxCos) (#s(alt (-.f32 (/.f32 ux maxCos) ux) (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (- (/ ux maxCos) ux) (taylor inf maxCos) (#s(alt (-.f32 (/.f32 ux maxCos) ux) (patch (-.f32 (/.f32 ux maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 maxCos) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- 1 (/ 1 maxCos)))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- 1 (/ 1 maxCos)))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- 1 (/ 1 maxCos)))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) (patch (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
ux
@0
((/ 1 (/ 1 (- 1 ux))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (- 1 ux)) (- 1 ux) (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (+ (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* ux maxCos)) (/ 1 (- 1 (* ux ux))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (* (- (/ ux maxCos) ux) maxCos) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (- (/ ux maxCos) ux) (- 1 (* ux ux)))
2.0ms
ux
@-inf
((/ 1 (/ 1 (- 1 ux))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (- 1 ux)) (- 1 ux) (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (+ (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* ux maxCos)) (/ 1 (- 1 (* ux ux))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (* (- (/ ux maxCos) ux) maxCos) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (- (/ ux maxCos) ux) (- 1 (* ux ux)))
2.0ms
ux
@inf
((/ 1 (/ 1 (- 1 ux))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (- 1 ux)) (- 1 ux) (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (+ (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* ux maxCos)) (/ 1 (- 1 (* ux ux))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (* (- (/ ux maxCos) ux) maxCos) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (- (/ ux maxCos) ux) (- 1 (* ux ux)))
1.0ms
maxCos
@0
((/ 1 (/ 1 (- 1 ux))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (- 1 ux)) (- 1 ux) (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (+ (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* ux maxCos)) (/ 1 (- 1 (* ux ux))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (* (- (/ ux maxCos) ux) maxCos) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (- (/ ux maxCos) ux) (- 1 (* ux ux)))
1.0ms
maxCos
@-inf
((/ 1 (/ 1 (- 1 ux))) (+ (- 1 ux) (* ux maxCos)) (/ 1 (- 1 ux)) (- 1 ux) (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (+ (/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* ux maxCos)) (/ 1 (- 1 (* ux ux))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (* (- (/ ux maxCos) ux) maxCos) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (- (/ ux maxCos) ux) (- 1 (* ux ux)))

simplify139.0ms (2.5%)

Memory
24.6MiB live, 136.8MiB allocated
Algorithm
1×egg-herbie
Rules
8 662×lower-fma.f64
8 662×lower-fma.f32
3 254×lower-*.f64
3 254×lower-*.f32
1 868×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291950
13751812
210451738
336811729
473961729
081221649
Stop Event
1×iter limit
1×node limit
Counts
312 → 308
Calls
Call 1
Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
1
(+ 1 (* -1 maxCos))
(+ 1 (* -1 maxCos))
(+ 1 (* -1 maxCos))
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(/ ux maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* -1 maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(* maxCos (- (/ 1 maxCos) 1))
(* maxCos (- (/ 1 maxCos) 1))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 maxCos)
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (pow ux 2))
(+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))
(+ 1 (* (pow ux 2) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(/ -1 (pow ux 2))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(/ -1 (pow ux 2))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 maxCos))
(-.f32 #s(literal 1 binary32) maxCos)
(+ 1 (* -1 maxCos))
(-.f32 #s(literal 1 binary32) maxCos)
(+ 1 (* -1 maxCos))
(-.f32 #s(literal 1 binary32) maxCos)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
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(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) ux)
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) ux))
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) ux)
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(/ -1 (pow ux 2))
(/.f32 #s(literal -1 binary32) (*.f32 ux ux))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) ux) #s(literal 1 binary32)) ux) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(*.f32 (/.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal -1 binary32)) ux) ux) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 4 binary32)))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- 1 (/ 1 maxCos))))
(-.f32 (/.f32 ux maxCos) ux)
(* -1 (* ux (- 1 (/ 1 maxCos))))
(-.f32 (/.f32 ux maxCos) ux)
(* -1 (* ux (- 1 (/ 1 maxCos))))
(-.f32 (/.f32 ux maxCos) ux)
(* -1 (* ux (- 1 (/ 1 maxCos))))
(-.f32 (/.f32 ux maxCos) ux)
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))

rewrite219.0ms (3.9%)

Memory
-16.0MiB live, 311.9MiB allocated
Rules
7 506×lower-fma.f64
7 506×lower-fma.f32
4 302×lower-*.f64
4 292×lower-*.f32
4 146×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029155
046131
1226121
21843121
08450119
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 927
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 #s(literal 1 binary32) maxCos)
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
(-.f32 (/.f32 ux maxCos) ux)
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
Outputs
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eval145.0ms (2.6%)

Memory
19.0MiB live, 364.1MiB allocated
Compiler

Compiled 24 498 to 3 172 computations (87.1% saved)

prune100.0ms (1.8%)

Memory
-13.6MiB live, 91.7MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1 23321 235
Fresh000
Picked224
Done033
Total1 23571 242
Accuracy
100.0%
Counts
1 242 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
▶96.8%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓95.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
▶95.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))))
✓96.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓72.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 52 to 54 computations (-3.8% saved)

simplify159.0ms (2.9%)

Memory
4.8MiB live, 161.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
cost-diff0
(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
cost-diff0
#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
cost-diff0
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))))
cost-diff64
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
cost-diff352
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
cost-diff704
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
Rules
9 446×lower-fma.f64
9 446×lower-fma.f32
2 298×lower-*.f64
2 292×lower-*.f32
1 782×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022127
031127
165117
2119117
3231117
4468117
5939101
61784101
73118101
85520101
97523101
0808999
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
ux
(+.f32 ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
(/.f32 ux maxCos)
ux
maxCos
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
ux
(+.f32 ux #s(literal 1 binary32))
(-.f32 ux #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
(/.f32 ux maxCos)
ux
maxCos

localize52.0ms (0.9%)

Memory
6.4MiB live, 81.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
accuracy0.0078125
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
accuracy0.140625
(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
accuracy2.723867233166488
#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
accuracy0.0703125
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
accuracy0.109375
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
accuracy0.3359375
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
accuracy0.9704660016065197
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))))
Samples
36.0ms246×0valid
5.0ms10×5exit
Compiler

Compiled 83 to 21 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 8.0ms (33.2% of total)
ival-div: 6.0ms (24.9% of total)
ival-sub: 6.0ms (24.9% of total)
adjust: 2.0ms (8.3% of total)
ival-add: 2.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-19.9MiB live, 18.4MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#s(alt (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())
#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())
#s(alt #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())
Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt (/ ux maxCos) (taylor 0 maxCos) (#s(alt #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (/ (+ 1 (/ 1 ux)) ux)) (taylor -inf ux) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux)) (taylor -inf ux) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux)) (taylor -inf ux) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ -1 (pow ux 2)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (- 1 (/ 1 maxCos))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (- 1 (/ 1 maxCos))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (- 1 (/ 1 maxCos))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (- 1 (/ 1 maxCos))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) (patch (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
ux
@-inf
((/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (/ 1 (- 1 (* ux ux))) (+ (- 1 ux) (* ux maxCos)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux))
1.0ms
ux
@inf
((/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (/ 1 (- 1 (* ux ux))) (+ (- 1 ux) (* ux maxCos)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux))
1.0ms
ux
@0
((/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (/ 1 (- 1 (* ux ux))) (+ (- 1 ux) (* ux maxCos)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux))
1.0ms
maxCos
@-inf
((/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (/ 1 (- 1 (* ux ux))) (+ (- 1 ux) (* ux maxCos)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux))
0.0ms
maxCos
@0
((/ 1 (* (/ 1 (- 1 (* ux ux))) (+ ux 1))) (* (/ 1 (- 1 (* ux ux))) (+ ux 1)) (/ 1 (- 1 (* ux ux))) (+ (- 1 ux) (* ux maxCos)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux))

simplify108.0ms (1.9%)

Memory
-8.9MiB live, 152.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 062×lower-fma.f64
8 062×lower-fma.f32
2 586×lower-*.f64
2 586×lower-*.f32
1 282×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061025
1304948
2823936
32886886
46622886
08156845
Stop Event
1×iter limit
1×node limit
Counts
156 → 154
Calls
Call 1
Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(/ ux maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* -1 ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
1
(+ 1 (pow ux 2))
(+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))
(+ 1 (* (pow ux 2) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/ -1 (pow ux 2))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* ux (- (/ 1 maxCos) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(/ -1 (pow ux 2))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
(* -1 (* ux (- 1 (/ 1 maxCos))))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 ux)
(neg.f32 ux)
(- (/ ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(- (/ ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(- (/ ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 ux)
(neg.f32 ux)
(- (/ ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(- (/ ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
(- (/ ux maxCos) ux)
(-.f32 (/.f32 ux maxCos) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 (* ux (+ 1 ux)))
(-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 ux #s(literal -1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (pow ux 2))
(fma.f32 ux ux #s(literal 1 binary32))
(+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))
(fma.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) ux) ux #s(literal 1 binary32))
(+ 1 (* (pow ux 2) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))
(*.f32 (+.f32 (pow.f32 ux #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- (/ 1 maxCos) 1))
(-.f32 (/.f32 ux maxCos) ux)
(* ux (- (/ 1 maxCos) 1))
(-.f32 (/.f32 ux maxCos) ux)
(* ux (- (/ 1 maxCos) 1))
(-.f32 (/.f32 ux maxCos) ux)
(* ux (- (/ 1 maxCos) 1))
(-.f32 (/.f32 ux maxCos) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(*.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal -1 binary32)) ux))
(/ -1 (pow ux 2))
(/.f32 #s(literal -1 binary32) (*.f32 ux ux))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) ux) #s(literal 1 binary32)) ux) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(*.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) ux) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) #s(literal -1 binary32)))
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- (/ 1 maxCos) 1))
(-.f32 (/.f32 ux maxCos) ux)
(* ux (- (/ 1 maxCos) 1))
(-.f32 (/.f32 ux maxCos) ux)
(* ux (- (/ 1 maxCos) 1))
(-.f32 (/.f32 ux maxCos) ux)
(* ux (- (/ 1 maxCos) 1))
(-.f32 (/.f32 ux maxCos) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) ux)
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(*.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal -1 binary32)) ux))
(/ -1 (pow ux 2))
(/.f32 #s(literal -1 binary32) (*.f32 ux ux))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) ux) #s(literal 1 binary32)) ux) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(*.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) ux) ux) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) #s(literal -1 binary32)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- 1 (/ 1 maxCos))))
(-.f32 (/.f32 ux maxCos) ux)
(* -1 (* ux (- 1 (/ 1 maxCos))))
(-.f32 (/.f32 ux maxCos) ux)
(* -1 (* ux (- 1 (/ 1 maxCos))))
(-.f32 (/.f32 ux maxCos) ux)
(* -1 (* ux (- 1 (/ 1 maxCos))))
(-.f32 (/.f32 ux maxCos) ux)

rewrite242.0ms (4.3%)

Memory
-9.7MiB live, 222.3MiB allocated
Rules
6 710×lower-fma.f64
6 710×lower-fma.f32
3 918×lower-/.f64
3 912×lower-/.f32
3 698×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022108
031108
116182
2121682
0853880
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 290
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
Outputs
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eval37.0ms (0.7%)

Memory
13.2MiB live, 86.0MiB allocated
Compiler

Compiled 7 779 to 1 175 computations (84.9% saved)

prune12.0ms (0.2%)

Memory
4.6MiB live, 39.9MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4440444
Fresh000
Picked022
Done055
Total4447451
Accuracy
100.0%
Counts
451 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
✓96.8%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓95.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
✓95.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))))
✓96.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓72.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 176 to 100 computations (43.2% saved)

regimes21.0ms (0.4%)

Memory
-4.7MiB live, 46.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Calls

4 calls:

8.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
maxCos
4.0ms
uy
4.0ms
ux
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes45.0ms (0.8%)

Memory
-21.3MiB live, 16.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
Outputs
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
Calls

4 calls:

38.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
2.0ms
ux
2.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes8.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Calls

4 calls:

2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
ux
2.0ms
uy
2.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes7.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

2.0ms
maxCos
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
96.9%1ux
96.9%1uy
96.9%1maxCos
96.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes27.0ms (0.5%)

Memory
-31.0MiB live, 7.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Calls

4 calls:

23.0ms
uy
1.0ms
ux
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
maxCos
Results
AccuracySegmentsBranch
72.1%1ux
72.1%1uy
72.1%1maxCos
72.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

simplify28.0ms (0.5%)

Memory
18.6MiB live, 18.6MiB allocated
Algorithm
1×egg-herbie
Rules
90×unsub-neg-binary32--.f32-neg.f32-+.f32
90×distribute-lft-neg-in-binary32-*.f32-neg.f32
56×distribute-neg-in-binary32-+.f32-neg.f32
52×neg-mul-1-binary32-*.f32-neg.f32
46×cancel-sign-sub-binary32-+.f32-neg.f32-*.f32--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02047
13947
26147
38647
412147
516447
620347
725047
829647
933647
1034147
1134247
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

soundness822.0ms (14.7%)

Memory
-13.5MiB live, 381.6MiB allocated
Rules
7 784×lower-fma.f64
7 784×lower-fma.f32
5 750×lower-fma.f64
5 750×lower-fma.f32
5 316×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04463419
114553216
251503167
087202976
0613
0913
14213
234313
3526813
0896812
039250
1110250
2306250
3848250
42091250
53292250
64316250
75345250
86781250
97325250
107658250
117962250
08013232
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 81 to 55 computations (32.1% saved)

preprocess36.0ms (0.6%)

Memory
6.0MiB live, 43.8MiB allocated
Remove

(abs uy)

Compiler

Compiled 98 to 72 computations (26.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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