UniformSampleCone, z

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze90.0ms (1.5%)

Memory
0.7MiB live, 116.8MiB 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 (16.9%)

Memory
93.7MiB live, 1 382.2MiB allocated
Samples
673.0ms8 179×0valid
9.0ms77×1valid
Precisions
Click to see histograms. Total time spent on operations: 462.0ms
const: 150.0ms (32.5% of total)
ival-<=: 120.0ms (26% of total)
ival-mult: 55.0ms (11.9% of total)
ival-sub: 50.0ms (10.8% of total)
ival-add: 44.0ms (9.5% of total)
ival-and: 30.0ms (6.5% of total)
exact: 8.0ms (1.7% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain90.0ms (1.5%)

Memory
6.4MiB live, 125.7MiB 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
22.0ms508×0valid
2.0ms4×1valid
Compiler

Compiled 91 to 52 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (41.1% of total)
ival-add: 3.0ms (30.8% of total)
ival-sub: 3.0ms (30.8% 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)

preprocess59.0ms (1%)

Memory
-3.1MiB live, 34.4MiB allocated
Algorithm
1×egg-herbie
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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
-19.6MiB live, 20.1MiB 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))
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

localize16.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0
(*.f32 ux maxCos)
accuracy0.04296875
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
11.0ms254×0valid
0.0ms2×1valid
Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (42.3% of total)
ival-add: 1.0ms (21.1% of total)
ival-sub: 1.0ms (21.1% 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)

series5.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB 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))

simplify154.0ms (2.5%)

Memory
1.6MiB live, 75.5MiB allocated
Algorithm
1×egg-herbie
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)

rewrite182.0ms (3%)

Memory
10.6MiB live, 201.9MiB allocated
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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eval310.0ms (5.1%)

Memory
-29.7MiB live, 95.4MiB allocated
Compiler

Compiled 6 295 to 781 computations (87.6% saved)

prune7.0ms (0.1%)

Memory
27.0MiB live, 27.0MiB 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
▶96.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
▶99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶98.8%
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶97.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶71.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 81 to 81 computations (0% saved)

simplify221.0ms (3.7%)

Memory
-9.3MiB live, 179.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff64
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
cost-diff64
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
cost-diff64
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
cost-diff544
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
cost-diff0
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022118
03596
17196
212995
326495
452295
5132295
6350995
7492795
8621095
9682795
10748895
11757195
0869594
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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
(*.f32 ux maxCos)
maxCos
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))
(*.f32 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 ux ux #s(literal -1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize97.0ms (1.6%)

Memory
-15.0MiB live, 108.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f32 ux)
accuracy0.015625
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
accuracy0.04296875
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
accuracy0.3671875
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.16796875
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy0.3671875
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy0.8140655284561003
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.8140655284561003
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy9.156411337252148
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy0
(*.f32 maxCos ux)
accuracy0.0078125
(-.f32 ux (*.f32 maxCos ux))
accuracy0.02734375
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Samples
73.0ms252×0valid
1.0ms4×1valid
Compiler

Compiled 221 to 41 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 24.0ms (61.5% of total)
ival-sub: 6.0ms (15.4% of total)
ival-mult: 5.0ms (12.8% of total)
ival-add: 4.0ms (10.2% of total)
ival-neg: 1.0ms (2.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
30.9MiB live, 30.9MiB allocated
Counts
14 → 276
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) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<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 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- 1 ux)) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux))) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux))) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (- (* maxCos (- (* -1 (/ (* maxCos (pow ux 3)) (pow (- 1 ux) 4))) (* -1 (/ (pow ux 2) (pow (- 1 ux) 3))))) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux))) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<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 (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.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) (-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 1 ux) (+ (/ 1 (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 2))))) (+ (/ 1 (* maxCos (pow ux 2))) (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<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 (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux)))))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux)))))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux)))))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
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#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#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 (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#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 (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#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 (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#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 (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#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 (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#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 (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#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 (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#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 -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 (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (/ -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 4))) (/ 1 (pow (+ 1 (* -1 maxCos)) 3))) ux)) (/ 1 (pow (+ 1 (* -1 maxCos)) 2))) ux)) (/ 1 (+ 1 (* -1 maxCos)))) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2)))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2)))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2)))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
Calls

6 calls:

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

simplify169.0ms (2.8%)

Memory
-25.8MiB live, 190.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02152032
16451994
219451951
091141842
Stop Event
1×iter limit
1×node limit
Counts
276 → 275
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 (- 1 ux))
(+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (* maxCos (- (* -1 (/ (* maxCos (pow ux 3)) (pow (- 1 ux) 4))) (* -1 (/ (pow ux 2) (pow (- 1 ux) 3))))) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos 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))
(* 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))
(/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (/ 1 ux) (+ (/ 1 (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 2))))) (+ (/ 1 (* maxCos (pow ux 2))) (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) 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 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 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)))))
(* -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 (/ (- (* -1 (/ (- (/ 1 ux) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos ux))) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos (pow ux 2)))) (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) ux))) maxCos)) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 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) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
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 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- 1 maxCos)))
(+ 1 (* ux (- (+ 1 (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
(+ 1 (* ux (- (+ 1 (* ux (- (* ux (* (- 1 maxCos) (pow (- maxCos 1) 2))) (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
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 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
-1
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* 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))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(/ 1 (* ux (- maxCos 1)))
(/ (- (/ 1 (- maxCos 1)) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (+ (/ 1 (* ux (pow (- maxCos 1) 2))) (/ 1 (* (pow ux 3) (pow (- maxCos 1) 4))))) 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))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -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 (* -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 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 4))) (/ 1 (pow (+ 1 (* -1 maxCos)) 3))) ux)) (/ 1 (pow (+ 1 (* -1 maxCos)) 2))) ux)) (/ 1 (+ 1 (* -1 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))))
(* -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)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
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)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/ 1 (- 1 ux))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos))
(+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(fma.f32 (-.f32 (*.f32 (*.f32 ux ux) (/.f32 maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos (- (* maxCos (- (* -1 (/ (* maxCos (pow ux 3)) (pow (- 1 ux) 4))) (* -1 (/ (pow ux 2) (pow (- 1 ux) 3))))) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(fma.f32 (-.f32 (*.f32 (-.f32 (*.f32 ux (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) maxCos) (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 maxCos ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 maxCos ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 maxCos ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) 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)
(* -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))
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos)) maxCos)
(/ (- (+ (/ 1 ux) (+ (/ 1 (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 2))))) (+ (/ 1 (* maxCos (pow ux 2))) (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux)))) maxCos)
(/.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) ux) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) ux) (+.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) 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 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux 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))
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos ux))) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(/.f32 (+.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos (pow ux 2)))) (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) ux))) maxCos)) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(/.f32 (+.f32 (/.f32 (-.f32 (+.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (*.f32 maxCos ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux))) maxCos) (/.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) maxCos) (/.f32 #s(literal 1 binary32) 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) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* 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)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
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)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- 1 maxCos)))
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ 1 (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
(fma.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ 1 (* ux (- (* ux (* (- 1 maxCos) (pow (- maxCos 1) 2))) (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
(fma.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
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)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* 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)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -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))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/ 1 (* ux (- maxCos 1)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) ux)
(/ (- (/ 1 (- maxCos 1)) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux)) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux) (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) ux) ux) (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (+ (/ 1 (* ux (pow (- maxCos 1) 2))) (/ 1 (* (pow ux 3) (pow (- maxCos 1) 4))))) ux)
(/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux) (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) ux) ux) (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 ux #s(literal 3 binary32)))) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -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))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux 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)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* 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))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -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))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/ -1 (* ux (+ 1 (* -1 maxCos))))
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux)) ux)
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux))
(/.f32 (fma.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux)) ux)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 4))) (/ 1 (pow (+ 1 (* -1 maxCos)) 3))) ux)) (/ 1 (pow (+ 1 (* -1 maxCos)) 2))) ux)) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)) ux))) ux)) ux)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -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))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux ux))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(*.f32 ux (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux 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)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)

rewrite198.0ms (3.3%)

Memory
5.6MiB live, 282.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02297
03575
118375
2152275
0863474
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 563
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) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
Outputs
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eval341.0ms (5.6%)

Memory
29.2MiB live, 324.4MiB allocated
Compiler

Compiled 42 118 to 3 270 computations (92.2% saved)

prune112.0ms (1.8%)

Memory
-19.9MiB live, 107.4MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 97731 980
Fresh000
Picked235
Done011
Total1 97971 986
Accuracy
100.0%
Counts
1 986 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
✓99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶99.9%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶96.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
✓97.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓71.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 66 to 57 computations (13.6% saved)

simplify208.0ms (3.4%)

Memory
24.4MiB live, 176.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
cost-diff0
(-.f32 (/.f32 ux maxCos) ux)
cost-diff0
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
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-diff64
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
cost-diff96
(-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)))
cost-diff160
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))
cost-diff512
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029210
045202
194190
2253152
31325152
43420152
56627152
08135144
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)))
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 ux ux)
ux
(neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
#s(literal 1 binary32)
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(-.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
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 ux #s(literal -1 binary32)))
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 ux ux)
ux
(neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 ux #s(literal -1 binary32))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
#s(literal 1 binary32)
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 ux #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (-.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) 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
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux

localize72.0ms (1.2%)

Memory
-30.5MiB live, 92.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.16796875
(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.3671875
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
accuracy0.8140655284561003
#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))
accuracy0
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos))
accuracy0.02734375
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
accuracy0.0703125
(-.f32 (/.f32 ux maxCos) ux)
accuracy0.15234375
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
accuracy0.34375
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
accuracy0.40824130861065216
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
accuracy0.45150375976844204
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
accuracy0.8140655284561003
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
Samples
43.0ms246×0valid
3.0ms10×1valid
Compiler

Compiled 328 to 52 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 10.0ms (29.6% of total)
ival-div: 9.0ms (26.7% of total)
ival-sub: 7.0ms (20.7% of total)
ival-neg: 4.0ms (11.8% of total)
ival-add: 2.0ms (5.9% of total)
adjust: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
24.2MiB live, 24.2MiB allocated
Counts
14 → 264
Calls
Call 1
Inputs
#s(alt (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) (patch (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (patch (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<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 (/.f32 ux maxCos) ux) maxCos) (patch (*.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 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())
Outputs
#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 (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 (/ 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 (- 1 ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (- 1 ux)) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux))) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux))) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (- (* maxCos (- (* -1 (/ (* maxCos (pow ux 3)) (pow (- 1 ux) 4))) (* -1 (/ (pow ux 2) (pow (- 1 ux) 3))))) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux))) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<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 (* 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 (* -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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 1 ux) (+ (/ 1 (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 2))))) (+ (/ 1 (* maxCos (pow ux 2))) (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #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)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #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)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #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)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<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 (* -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 (/.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 (+ (* -1 ux) (* -1 (/ (- 1 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 (+ (* -1 ux) (* -1 (/ (- 1 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 (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 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 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 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 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 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 (* 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>) () ())) ())
#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 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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos ux))) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos (pow ux 2)))) (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) ux))) maxCos)) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.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 (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.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 (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.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 (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #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)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 4))) (/ 1 (pow (+ 1 (* -1 maxCos)) 3))) ux)) (/ 1 (pow (+ 1 (* -1 maxCos)) 2))) ux)) (/ 1 (+ 1 (* -1 maxCos)))) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) #<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 (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
ux
@-inf
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
2.0ms
ux
@inf
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
2.0ms
ux
@0
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
2.0ms
maxCos
@inf
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
1.0ms
maxCos
@-inf
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (* (- (neg ux) 1) -1) (- (* (* ux ux) (neg (- (neg ux) 1))) (* (- (neg ux) 1) -1)) (* (* ux ux) (neg (- (neg ux) 1))) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (/ 1 (/ 1 (+ (* maxCos ux) (- 1 ux)))) (/ 1 (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))

simplify221.0ms (3.7%)

Memory
2.6MiB live, 199.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02562016
17601950
222981909
090541830
Stop Event
1×iter limit
1×node limit
Counts
264 → 260
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)))
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)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(/ 1 (- 1 ux))
(+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (* maxCos (- (* -1 (/ (* maxCos (pow ux 3)) (pow (- 1 ux) 4))) (* -1 (/ (pow ux 2) (pow (- 1 ux) 3))))) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 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)
(* 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)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(/ 1 (* maxCos ux))
(/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (/ 1 ux) (+ (/ 1 (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 2))))) (+ (/ 1 (* maxCos (pow ux 2))) (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) 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)))
(* 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)
(* 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 (/ (- (* -1 (/ (- (/ 1 ux) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos ux))) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos (pow ux 2)))) (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) ux))) maxCos)) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 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
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
-1
(- (* -1 ux) 1)
(- (* ux (- ux 1)) 1)
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
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
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- 1 maxCos)))
(+ 1 (* ux (- (+ 1 (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
(+ 1 (* ux (- (+ 1 (* ux (- (* ux (* (- 1 maxCos) (pow (- maxCos 1) 2))) (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
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 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
-1
(- (* -2 ux) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* 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))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(/ 1 (* ux (- maxCos 1)))
(/ (- (/ 1 (- maxCos 1)) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (+ (/ 1 (* ux (pow (- maxCos 1) 2))) (/ 1 (* (pow ux 3) (pow (- maxCos 1) 4))))) 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))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 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))))
(* 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))))
(* -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 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 4))) (/ 1 (pow (+ 1 (* -1 maxCos)) 3))) ux)) (/ 1 (pow (+ 1 (* -1 maxCos)) 2))) ux)) (/ 1 (+ 1 (* -1 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))))
(* -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 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
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 (-.f32 #s(literal 1 binary32) maxCos) ux) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) maxCos)
(/ (+ ux (* -1 (* maxCos ux))) maxCos)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) maxCos)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/ 1 (- 1 ux))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos))
(+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(fma.f32 (-.f32 (*.f32 (*.f32 ux ux) (/.f32 maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos (- (* maxCos (- (* -1 (/ (* maxCos (pow ux 3)) (pow (- 1 ux) 4))) (* -1 (/ (pow ux 2) (pow (- 1 ux) 3))))) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(fma.f32 (fma.f32 (-.f32 (*.f32 ux (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))) maxCos (/.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 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)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -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)
(* 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 (/.f32 #s(literal 1 binary32) maxCos) ux)
(/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/.f32 (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) maxCos)) maxCos)
(/ (- (+ (/ 1 ux) (+ (/ 1 (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 2))))) (+ (/ 1 (* maxCos (pow ux 2))) (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux)))) maxCos)
(/.f32 (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (+.f32 (/.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) maxCos) (/.f32 #s(literal 1 binary32) 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)
(* 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)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -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 (+.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 (/.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(/.f32 (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos ux))) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) maxCos) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos (pow ux 2)))) (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) ux))) maxCos)) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (*.f32 maxCos ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux))) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) maxCos) (/.f32 #s(literal 1 binary32) 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
#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)
(+.f32 ux #s(literal 1 binary32))
(+ 1 ux)
(+.f32 ux #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* ux (- ux 1)) 1)
(fma.f32 ux ux (-.f32 #s(literal -1 binary32) ux))
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(fma.f32 (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 (fma.f32 ux ux ux) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* 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 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* 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
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- 1 maxCos)))
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ 1 (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
(fma.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ 1 (* ux (- (* ux (* (- 1 maxCos) (pow (- maxCos 1) 2))) (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
(fma.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux (-.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
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)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (* -2 ux) 1)
(fma.f32 #s(literal -2 binary32) ux #s(literal -1 binary32))
(- (* ux (- (* -1 ux) 2)) 1)
(fma.f32 (-.f32 #s(literal -2 binary32) ux) ux #s(literal -1 binary32))
(- (* ux (- (* -1 ux) 2)) 1)
(fma.f32 (-.f32 #s(literal -2 binary32) ux) ux #s(literal -1 binary32))
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
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(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 ux #s(literal 1 binary32))
(* ux (+ 1 (/ 1 ux)))
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(* ux (+ 1 (/ 1 ux)))
(+.f32 ux #s(literal 1 binary32))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 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)) (pow.f32 ux #s(literal 3 binary32)))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* 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 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* 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)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/ 1 (* ux (- maxCos 1)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) ux)
(/ (- (/ 1 (- maxCos 1)) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/.f32 (-.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) ux) ux) (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (+ (/ 1 (* ux (pow (- maxCos 1) 2))) (/ 1 (* (pow ux 3) (pow (- maxCos 1) 4))))) ux)
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) ux) ux))) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -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))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux ux))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) ux) ux)
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) ux) 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)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 ux #s(literal 1 binary32))
(* ux (+ 1 (/ 1 ux)))
(+.f32 ux #s(literal 1 binary32))
(* ux (+ 1 (/ 1 ux)))
(+.f32 ux #s(literal 1 binary32))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
(*.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)) (pow.f32 ux #s(literal 3 binary32)))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* 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 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -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 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(/ -1 (* ux (+ 1 (* -1 maxCos))))
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) ux)
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux))
(/.f32 (+.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) ux) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) (neg.f32 ux))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 4))) (/ 1 (pow (+ 1 (* -1 maxCos)) 3))) ux)) (/ 1 (pow (+ 1 (* -1 maxCos)) 2))) ux)) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)) ux))) ux) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) ux)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -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))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux ux))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) ux) ux)
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) ux) ux)

rewrite239.0ms (4%)

Memory
-14.8MiB live, 290.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029185
045135
1212128
21642116
09406109
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 130
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32)))
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(-.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 (/.f32 ux maxCos) ux) maxCos)
(-.f32 (/.f32 ux maxCos) ux)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
Outputs
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eval219.0ms (3.6%)

Memory
4.2MiB live, 445.1MiB allocated
Compiler

Compiled 36 995 to 4 086 computations (89% saved)

prune55.0ms (0.9%)

Memory
4.1MiB live, 121.9MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1 38821 390
Fresh000
Picked123
Done044
Total1 38981 397
Accuracy
100.0%
Counts
1 397 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓96.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
✓99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓99.9%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
▶97.5%
(-.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))
▶96.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
✓97.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓71.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 72 to 65 computations (9.7% saved)

simplify207.0ms (3.4%)

Memory
32.4MiB live, 230.7MiB 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-diff64
(neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
cost-diff64
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
cost-diff96
(-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32)))
cost-diff512
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025169
037171
179171
2221128
31044127
43199127
56904127
08132122
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 ux ux)
ux
(neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 ux #s(literal -1 binary32)))
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 ux ux)
ux
(neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 ux #s(literal -1 binary32))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
(-.f32 ux #s(literal -1 binary32))
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (-.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.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
-32.4MiB live, 83.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos))
accuracy0.02734375
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)))
accuracy0.15234375
(*.f32 #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) maxCos)
accuracy2.7159652452323875
#s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos))
accuracy0.34375
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
accuracy0.40824130861065216
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
accuracy0.45150375976844204
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
accuracy0.8140655284561003
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
Samples
34.0ms246×0valid
2.0ms10×1valid
Compiler

Compiled 246 to 43 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (36% of total)
ival-sub: 7.0ms (28% of total)
ival-div: 4.0ms (16% of total)
ival-add: 2.0ms (8% of total)
ival-neg: 2.0ms (8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
21.9MiB live, 21.9MiB allocated
Counts
10 → 180
Calls
Call 1
Inputs
#s(alt (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) (patch (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (patch (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (neg.f32 (-.f32 (neg.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>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())
Outputs
#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>) () ())) ())
#s(alt (/ (+ ux (* -1 (* maxCos 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>) () ())) ())
#s(alt (/ (+ ux (* -1 (* maxCos 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>) () ())) ())
#s(alt (/ (+ ux (* -1 (* maxCos 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>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf 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 (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf 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 (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf 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 (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf 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)) (taylor inf 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 (* maxCos (- (/ ux maxCos) ux)) (taylor inf 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 (* maxCos (- (/ ux maxCos) ux)) (taylor inf 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 (* maxCos (- (/ ux maxCos) ux)) (taylor inf 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 (* -1 (* maxCos ux)) (taylor inf 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 (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf 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 (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf 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 (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf 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 (* -1 ux) (taylor inf maxCos) (#s(alt #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (/ ux maxCos) ux) (taylor inf maxCos) (#s(alt #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (/ ux maxCos) ux) (taylor inf maxCos) (#s(alt #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) (patch #s(approx (- (/ ux maxCos) ux) (/.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (/ ux maxCos) ux) (taylor inf 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 (* maxCos ux)) (taylor -inf 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>) () ())) ())
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#s(alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos))))) (taylor -inf 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 (* -1 ux) (taylor -inf 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 (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) (patch (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) (patch (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
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#s(alt -1 (taylor 0 ux) (#s(alt (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (patch (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (- (* ux (- ux 1)) 1) (taylor 0 ux) (#s(alt (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (patch (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* ux (- (* ux (+ 1 ux)) 1)) 1) (taylor 0 ux) (#s(alt (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (patch (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 ux)) (taylor 0 ux) (#s(alt (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 ux)) (taylor 0 ux) (#s(alt (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 ux) (taylor 0 ux) (#s(alt (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 ux) (taylor 0 ux) (#s(alt (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 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 (- maxCos 1))) (taylor 0 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 (- maxCos 1))) (taylor 0 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 maxCos)) (taylor 0 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 maxCos)) (taylor 0 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 maxCos)) (taylor 0 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>) () ())) ())
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#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1)) (taylor inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1)) (taylor inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) (patch (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) (patch (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) (patch (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) (patch (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (pow ux 3) (taylor -inf ux) (#s(alt (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (patch (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (patch (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (patch (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (patch (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow ux 3) (taylor -inf ux) (#s(alt (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt ux (taylor -inf ux) (#s(alt (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (neg.f32 (-.f32 (neg.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>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.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 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (patch (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
ux
@-inf
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
2.0ms
ux
@inf
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
1.0ms
ux
@0
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
1.0ms
maxCos
@-inf
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))
0.0ms
maxCos
@0
((/ (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (- (neg ux) 1) (neg (- (neg ux) 1)))) (- (* (* ux ux) (neg (- (neg ux) 1))) (+ ux 1)) (* (* ux ux) (neg (- (neg ux) 1))) (neg (- (neg ux) 1)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- (/ ux maxCos) ux) maxCos) (- (/ ux maxCos) ux) (+ (- 1 ux) (* ux maxCos)) (* (- (neg ux) 1) (neg (- (neg ux) 1))))

simplify157.0ms (2.6%)

Memory
-29.3MiB live, 177.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01171072
13411001
2933988
33593924
47401924
08427868
Stop Event
1×iter limit
1×node limit
Counts
180 → 176
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)))
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)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) 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 ux)
(- (/ ux maxCos) ux)
(- (/ ux maxCos) ux)
(- (/ 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)
(* -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)
(* 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
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
-1
(- (* -1 ux) 1)
(- (* ux (- ux 1)) 1)
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
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
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
-1
(- (* -2 ux) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* 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))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* 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))))
(* 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))))
(* -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 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 maxCos ux (-.f32 #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)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 maxCos ux (-.f32 #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)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 maxCos ux (-.f32 #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)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 maxCos 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) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* ux (- ux 1)) 1)
(fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(*.f32 (-.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 (fma.f32 ux ux ux) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 maxCos ux (-.f32 #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
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
-1
#s(literal -1 binary32)
(- (* -2 ux) 1)
(fma.f32 #s(literal -2 binary32) ux #s(literal -1 binary32))
(- (* ux (- (* -1 ux) 2)) 1)
(fma.f32 (-.f32 #s(literal -2 binary32) ux) ux #s(literal -1 binary32))
(- (* ux (- (* -1 ux) 2)) 1)
(fma.f32 (-.f32 #s(literal -2 binary32) ux) ux #s(literal -1 binary32))
(* -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)
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(-.f32 (*.f32 (fma.f32 ux ux ux) ux) ux)
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(*.f32 (-.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 maxCos ux (-.f32 #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)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(*.f32 (-.f32 #s(literal -2 binary32) ux) ux)
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)) ux) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)) ux) (*.f32 ux 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)
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(-.f32 (*.f32 (fma.f32 ux ux ux) ux) ux)
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
(*.f32 (-.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 (fma.f32 ux ux ux) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 maxCos ux (-.f32 #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)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(*.f32 (-.f32 #s(literal -2 binary32) ux) ux)
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)) ux) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)) ux) (*.f32 ux ux))

rewrite252.0ms (4.2%)

Memory
-13.7MiB live, 250.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025149
037130
1182124
2156896
0927091
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 649
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))))
(-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
(neg.f32 (-.f32 (neg.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))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
(*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))
Outputs
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eval160.0ms (2.7%)

Memory
25.8MiB live, 225.2MiB allocated
Compiler

Compiled 34 691 to 3 346 computations (90.4% saved)

prune41.0ms (0.7%)

Memory
-25.7MiB live, 63.6MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1 07111 072
Fresh000
Picked112
Done066
Total1 07281 080
Accuracy
100.0%
Counts
1 080 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓96.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
✓99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓99.9%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
✓97.5%
(-.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))
96.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
✓97.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓71.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 217 to 114 computations (47.5% saved)

regimes20.0ms (0.3%)

Memory
6.4MiB live, 42.3MiB 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) (-.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)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 (*.f32 ux ux) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (neg.f32 ux) #s(literal 1 binary32))))))
Outputs
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
Calls

4 calls:

6.0ms
uy
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
ux
4.0ms
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)

regimes13.0ms (0.2%)

Memory
-8.1MiB live, 28.7MiB allocated
Counts
5 → 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) (-.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)))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Calls

4 calls:

5.0ms
uy
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
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
28.0MiB live, 28.0MiB 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
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)

regimes10.0ms (0.2%)

Memory
-23.9MiB live, 21.8MiB 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:

5.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
2.0ms
ux
2.0ms
maxCos
Results
AccuracySegmentsBranch
97.5%1ux
97.5%1uy
97.5%1maxCos
97.5%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes6.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB 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:

1.0ms
maxCos
1.0ms
uy
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
ux
Results
AccuracySegmentsBranch
71.4%1uy
71.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
71.4%1ux
71.4%1maxCos
Compiler

Compiled 10 to 16 computations (-60% saved)

simplify30.0ms (0.5%)

Memory
-2.9MiB live, 73.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02149
14049
26249
38749
412249
516949
622449
728149
833249
934549
1034949
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 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) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 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))

soundness821.0ms (13.6%)

Memory
-18.7MiB live, 419.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3848250
42091250
53292250
64316250
75345250
86781250
97325250
107658250
117962250
08013232
0613
0913
14213
234313
3526813
0896812
02152032
16451994
219451951
091141842
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 85 to 57 computations (32.9% saved)

preprocess102.0ms (1.7%)

Memory
-3.1MiB live, 116.3MiB allocated
Remove

(abs uy)

Compiler

Compiled 114 to 82 computations (28.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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