UniformSampleCone, z

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze152.0ms (2.4%)

Memory
10.3MiB live, 121.4MiB 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)

sample1.3s (20.2%)

Memory
58.7MiB live, 1 345.2MiB allocated
Samples
937.0ms8 194×0valid
8.0ms62×1valid
Precisions
Click to see histograms. Total time spent on operations: 443.0ms
const: 137.0ms (30.9% of total)
ival-<=: 114.0ms (25.7% of total)
ival-sub: 60.0ms (13.5% of total)
ival-mult: 51.0ms (11.5% of total)
ival-add: 40.0ms (9% of total)
ival-and: 29.0ms (6.5% of total)
exact: 7.0ms (1.6% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

explain57.0ms (0.9%)

Memory
8.5MiB live, 90.1MiB 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
22.0ms512×0valid
Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (35.2% of total)
ival-sub: 2.0ms (23.5% of total)
ival-add: 2.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess58.0ms (0.9%)

Memory
4.1MiB live, 41.4MiB allocated
Algorithm
1×egg-herbie
Rules
384×lower-fma.f64
384×lower-fma.f32
348×sub-neg
248×cancel-sign-sub-inv
204×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

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

(abs uy)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB 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)

simplify18.0ms (0.3%)

Memory
-17.2MiB live, 19.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize14.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0
(*.f32 ux maxCos)
accuracy0.02734375
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms256×0valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (25% of total)
ival-add: 1.0ms (25% of total)
ival-mult: 1.0ms (25% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB 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))

simplify155.0ms (2.5%)

Memory
4.0MiB live, 80.2MiB allocated
Algorithm
1×egg-herbie
Rules
5 316×lower-fma.f64
5 316×lower-fma.f32
2 146×div-sub
2 012×lower-*.f64
2 012×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite171.0ms (2.8%)

Memory
-14.9MiB live, 207.3MiB allocated
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
4 062×lower-*.f64
4 060×lower-*.f32
2 014×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14213
234313
3526813
0896812
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 311
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
Outputs
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)))) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux ux) maxCos)))
(*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)))) (fma.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(*.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(*.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (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)))))
(*.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (pow.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 9 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (pow.f32 (*.f32 (fma.f32 ux ux ux) maxCos) #s(literal 3 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (neg.f32 ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (neg.f32 ux)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (neg.f32 ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
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(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)) (*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (+.f32 (pow.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))))
(/.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -3 binary32)) (*.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -3 binary32)))) (+.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
(-.f32 #s(literal 0 binary32) (-.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 ux)))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) ux)
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 ux)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 ux))
(neg.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(*.f32 (exp.f32 (log.f32 maxCos)) ux)
(*.f32 (*.f32 maxCos #s(literal 1 binary32)) ux)
(*.f32 (*.f32 maxCos ux) #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 ux (exp.f32 (log.f32 maxCos)))
(*.f32 ux (*.f32 #s(literal 1 binary32) maxCos))
(*.f32 ux maxCos)
(*.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(pow.f32 (*.f32 maxCos ux) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 maxCos ux)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 maxCos ux)))

eval65.0ms (1%)

Memory
16.8MiB live, 73.3MiB allocated
Compiler

Compiled 6 295 to 781 computations (87.6% saved)

prune8.0ms (0.1%)

Memory
-14.9MiB live, 21.6MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3674371
Fresh000
Picked011
Done000
Total3675372
Accuracy
100.0%
Counts
372 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶14.0%
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))))
▶99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶98.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶72.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 59 to 45 computations (23.7% saved)

simplify173.0ms (2.8%)

Memory
34.8MiB live, 211.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32))
cost-diff0
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 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)))
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))
Rules
14 244×lower-fma.f64
14 240×lower-fma.f32
3 990×lower--.f64
3 980×lower--.f32
3 640×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026190
042187
188187
2240187
3928187
43464187
57675187
08299187
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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 ux (*.f32 maxCos ux)))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
#s(literal 6 binary32)
(pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))
(*.f32 maxCos ux)
maxCos
(*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
#s(literal 3 binary32)
(pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))
Outputs
#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 ux (*.f32 maxCos ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
#s(literal 6 binary32)
(pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))
(*.f32 maxCos ux)
maxCos
(*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
#s(literal 3 binary32)
(pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))

localize86.0ms (1.4%)

Memory
-21.2MiB live, 105.2MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.5622062988422102
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
accuracy0.6480764968148887
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
accuracy1.0020157958744598
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32))
accuracy2.217897920509283
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy0
(*.f32 maxCos ux)
accuracy0.021816259768442016
(-.f32 ux (*.f32 maxCos ux))
accuracy0.02734375
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.6127739929563127
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy8.832113523180919
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Samples
62.0ms256×0valid
Compiler

Compiled 193 to 27 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-pow2: 18.0ms (35.6% of total)
ival-mult: 12.0ms (23.7% of total)
ival-pow: 9.0ms (17.8% of total)
ival-sub: 5.0ms (9.9% of total)
ival-add: 3.0ms (5.9% of total)
ival-div: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory
6.7MiB live, 43.3MiB allocated
Counts
12 → 252
Calls
Call 1
Inputs
#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 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 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) #<representation binary32>) () ())
#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())
Outputs
#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 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 (pow (- 1 ux) 6) (taylor 0 maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (pow maxCos 6) (pow ux 6))) (pow (- 1 ux) 6)) (taylor 0 maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (pow maxCos 6) (pow ux 6))) (pow (- 1 ux) 6)) (taylor 0 maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (pow maxCos 6) (pow ux 6))) (pow (- 1 ux) 6)) (taylor 0 maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor 0 maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor 0 maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor 0 maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor 0 maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #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 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 (* -1 (* (pow maxCos 6) (pow ux 6))) (taylor inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6))) (taylor inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6))) (taylor inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6))) (taylor inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor inf maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor inf maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor inf maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor inf maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<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>) () ())) ())
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#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (taylor inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#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>) () ())) ())
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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)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#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>) () ())) ())
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#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 6) (pow ux 6))) (taylor -inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6))) (taylor -inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6))) (taylor -inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6))) (taylor -inf maxCos) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor -inf maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor -inf maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor -inf maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor -inf maxCos) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<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>) () ())) ())
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#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* ux (- 1 maxCos)) (taylor 0 ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor 0 ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
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#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* ux (- (* 15 ux) 6))) (taylor 0 ux) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- (* ux (+ 15 (* -20 ux))) 6))) (taylor 0 ux) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#s(alt (* ux (- maxCos 1)) (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 (* ux (- (+ maxCos (/ 1 ux)) 1)) (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>) () ())) ())
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#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (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>) () ())) ())
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#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (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 (* 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 (* ux (- maxCos 1)) (taylor inf ux) (#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 (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#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 (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#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 (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#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 (- 1 maxCos)) (taylor inf ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor inf ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor inf ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor inf ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.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 (* 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 (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (- 1 (pow maxCos 6))) (taylor inf ux) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (- 1 (+ (* 6 (/ 1 ux)) (pow maxCos 6)))) (taylor inf ux) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (- (+ 1 (/ 15 (pow ux 2))) (+ (* 6 (/ 1 ux)) (pow maxCos 6)))) (taylor inf ux) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
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#s(alt (pow ux 6) (taylor inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor inf ux) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor inf ux) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor inf ux) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor inf ux) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (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 (* ux (- (+ maxCos (/ 1 ux)) 1)) (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 (* ux (- (+ maxCos (/ 1 ux)) 1)) (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 (* ux (- (+ maxCos (/ 1 ux)) 1)) (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 (* (pow ux 2) (+ 1 (* maxCos (- maxCos 1)))) (taylor inf ux) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (/ maxCos ux))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (* 3 (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2))))) (taylor inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 2))))) (taylor inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -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 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#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 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#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 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#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 (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.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 (* 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 (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (- 1 (pow maxCos 6))) (taylor -inf ux) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (- 1 (+ (* 6 (/ 1 ux)) (pow maxCos 6)))) (taylor -inf ux) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (- (+ 1 (* -1 (/ (- 6 (* 15 (/ 1 ux))) ux))) (pow maxCos 6))) (taylor -inf ux) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (- (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 15 (* 20 (/ 1 ux))) ux))) ux))) (pow maxCos 6))) (taylor -inf ux) (#s(alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (patch (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow ux 6) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (- 1 (* 6 (/ 1 ux)))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (+ 1 (* -1 (/ (- 6 (* 15 (/ 1 ux))) ux)))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 6) (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 15 (* 20 (/ 1 ux))) ux))) ux)))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor -inf ux) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor -inf ux) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor -inf ux) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 6) (pow ux 6)) (taylor -inf ux) (#s(alt (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) (patch (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)) #<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 (* (pow ux 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -1 maxCos)) ux))))) (taylor -inf ux) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux))))) (taylor -inf ux) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux))))) (taylor -inf ux) (#s(alt (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux))))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux))))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux))))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
12.0ms
ux
@inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (- (pow (- 1 ux) 6) (pow (* maxCos ux) 6)) (pow (- 1 ux) 6) (pow (* maxCos ux) 6) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))
3.0ms
maxCos
@0
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (- (pow (- 1 ux) 6) (pow (* maxCos ux) 6)) (pow (- 1 ux) 6) (pow (* maxCos ux) 6) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))
3.0ms
ux
@0
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (- (pow (- 1 ux) 6) (pow (* maxCos ux) 6)) (pow (- 1 ux) 6) (pow (* maxCos ux) 6) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))
2.0ms
ux
@-inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (- (pow (- 1 ux) 6) (pow (* maxCos ux) 6)) (pow (- 1 ux) 6) (pow (* maxCos ux) 6) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))
2.0ms
maxCos
@-inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (- (pow (- 1 ux) 6) (pow (* maxCos ux) 6)) (pow (- 1 ux) 6) (pow (* maxCos ux) 6) (+ (* maxCos ux) (- 1 ux)) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))

simplify179.0ms (2.9%)

Memory
-3.1MiB live, 189.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 816×lower-fma.f64
11 816×lower-fma.f32
3 754×lower-*.f64
3 754×lower-*.f32
3 138×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261970
16881923
219871898
361501870
083781751
Stop Event
1×iter limit
1×node limit
Counts
252 → 251
Calls
Call 1
Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 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)
(pow (- 1 ux) 6)
(+ (* -1 (* (pow maxCos 6) (pow ux 6))) (pow (- 1 ux) 6))
(+ (* -1 (* (pow maxCos 6) (pow ux 6))) (pow (- 1 ux) 6))
(+ (* -1 (* (pow maxCos 6) (pow ux 6))) (pow (- 1 ux) 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(pow (- 1 ux) 2)
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* (pow maxCos 6) (pow ux 6)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 (* (pow maxCos 6) (pow ux 6)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
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)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* -6 ux))
(+ 1 (* ux (- (* 15 ux) 6)))
(+ 1 (* ux (- (* ux (+ 15 (* -20 ux))) 6)))
1
(+ 1 (* -6 ux))
(+ 1 (* ux (- (* 15 ux) 6)))
(+ 1 (* ux (- (* ux (+ 15 (* -20 ux))) 6)))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
1
(+ 1 (* -3 ux))
(+ 1 (* ux (- (* 3 ux) 3)))
(+ 1 (* ux (- (* ux (+ 3 (* -1 ux))) 3)))
(* 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))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* (pow ux 6) (- 1 (pow maxCos 6)))
(* (pow ux 6) (- 1 (+ (* 6 (/ 1 ux)) (pow maxCos 6))))
(* (pow ux 6) (- (+ 1 (/ 15 (pow ux 2))) (+ (* 6 (/ 1 ux)) (pow maxCos 6))))
(* (pow ux 6) (- (+ 1 (/ 15 (pow ux 2))) (+ (* 6 (/ 1 ux)) (+ (* 20 (/ 1 (pow ux 3))) (pow maxCos 6)))))
(pow ux 6)
(* (pow ux 6) (- 1 (* 6 (/ 1 ux))))
(* (pow ux 6) (- (+ 1 (/ 15 (pow ux 2))) (* 6 (/ 1 ux))))
(* (pow ux 6) (- (+ 1 (/ 15 (pow ux 2))) (+ (* 6 (/ 1 ux)) (* 20 (/ 1 (pow ux 3))))))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (+ 1 (* maxCos (- maxCos 1))))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(* -1 (pow ux 3))
(* (pow ux 3) (- (* 3 (/ 1 ux)) 1))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 2)))))
(* -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))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* (pow ux 6) (- 1 (pow maxCos 6)))
(* (pow ux 6) (- 1 (+ (* 6 (/ 1 ux)) (pow maxCos 6))))
(* (pow ux 6) (- (+ 1 (* -1 (/ (- 6 (* 15 (/ 1 ux))) ux))) (pow maxCos 6)))
(* (pow ux 6) (- (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 15 (* 20 (/ 1 ux))) ux))) ux))) (pow maxCos 6)))
(pow ux 6)
(* (pow ux 6) (- 1 (* 6 (/ 1 ux))))
(* (pow ux 6) (+ 1 (* -1 (/ (- 6 (* 15 (/ 1 ux))) ux))))
(* (pow ux 6) (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 15 (* 20 (/ 1 ux))) ux))) ux))))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* (pow maxCos 6) (pow ux 6))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)))))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(pow (- 1 ux) 6)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32))
(+ (* -1 (* (pow maxCos 6) (pow ux 6))) (pow (- 1 ux) 6))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32))))
(+ (* -1 (* (pow maxCos 6) (pow ux 6))) (pow (- 1 ux) 6))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32))))
(+ (* -1 (* (pow maxCos 6) (pow ux 6))) (pow (- 1 ux) 6))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32))))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.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)
(* -1 (* (pow maxCos 6) (pow ux 6)))
(*.f32 (neg.f32 (pow.f32 ux #s(literal 6 binary32))) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(*.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(*.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(*.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* 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)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(fma.f32 (*.f32 (*.f32 maxCos maxCos) ux) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(fma.f32 (*.f32 (*.f32 maxCos maxCos) ux) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 (/.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)
(* -1 (* (pow maxCos 6) (pow ux 6)))
(*.f32 (neg.f32 (pow.f32 ux #s(literal 6 binary32))) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(*.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(*.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (- (/ (pow (- 1 ux) 6) (pow maxCos 6)) (pow ux 6)))
(*.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* 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)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux)) maxCos)) (*.f32 maxCos maxCos))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
1
#s(literal 1 binary32)
(+ 1 (* -6 ux))
(fma.f32 #s(literal -6 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 15 ux) 6)))
(fma.f32 (fma.f32 #s(literal 15 binary32) ux #s(literal -6 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 15 (* -20 ux))) 6)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) ux #s(literal 15 binary32)) ux #s(literal -6 binary32)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -6 ux))
(fma.f32 #s(literal -6 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 15 ux) 6)))
(fma.f32 (fma.f32 #s(literal 15 binary32) ux #s(literal -6 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 15 (* -20 ux))) 6)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -20 binary32) ux #s(literal 15 binary32)) ux #s(literal -6 binary32)) ux #s(literal 1 binary32))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos ux) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos ux) #s(literal 2 binary32)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -3 ux))
(fma.f32 #s(literal -3 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 3 ux) 3)))
(fma.f32 (fma.f32 #s(literal 3 binary32) ux #s(literal -3 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 3 (* -1 ux))) 3)))
(fma.f32 (fma.f32 (-.f32 #s(literal 3 binary32) ux) ux #s(literal -3 binary32)) ux #s(literal 1 binary32))
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -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 ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* (pow ux 6) (- 1 (pow maxCos 6)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- 1 (+ (* 6 (/ 1 ux)) (pow maxCos 6))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 6 binary32) ux)) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (+ 1 (/ 15 (pow ux 2))) (+ (* 6 (/ 1 ux)) (pow maxCos 6))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 #s(literal 15 binary32) ux)) ux)) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (+ 1 (/ 15 (pow ux 2))) (+ (* 6 (/ 1 ux)) (+ (* 20 (/ 1 (pow ux 3))) (pow maxCos 6)))))
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 15 binary32) (/.f32 #s(literal 20 binary32) ux)) ux) ux)) (-.f32 (pow.f32 maxCos #s(literal 6 binary32)) (/.f32 #s(literal -6 binary32) ux))) (pow.f32 ux #s(literal 6 binary32)))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(* (pow ux 6) (- 1 (* 6 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 6 binary32) ux)) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (+ 1 (/ 15 (pow ux 2))) (* 6 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 #s(literal 15 binary32) ux)) ux)) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (+ 1 (/ 15 (pow ux 2))) (+ (* 6 (/ 1 ux)) (* 20 (/ 1 (pow ux 3))))))
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 15 binary32) (/.f32 #s(literal 20 binary32) ux)) ux) ux)) (/.f32 #s(literal 6 binary32) ux)) (pow.f32 ux #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (pow ux 2) (+ 1 (* maxCos (- maxCos 1))))
(*.f32 (fma.f32 (-.f32 (*.f32 maxCos maxCos) maxCos) ux ux) ux)
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(*.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 (-.f32 maxCos #s(literal 2 binary32)) ux)) ux ux) ux)
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(*.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) ux ux) ux)
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(*.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) ux ux) ux)
(* -1 (pow ux 3))
(pow.f32 (neg.f32 ux) #s(literal 3 binary32))
(* (pow ux 3) (- (* 3 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 3 binary32) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -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 ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* (pow ux 6) (- 1 (pow maxCos 6)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- 1 (+ (* 6 (/ 1 ux)) (pow maxCos 6))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 6 binary32) ux)) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (+ 1 (* -1 (/ (- 6 (* 15 (/ 1 ux))) ux))) (pow maxCos 6)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 #s(literal 15 binary32) ux)) ux)) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 15 (* 20 (/ 1 ux))) ux))) ux))) (pow maxCos 6)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 (-.f32 #s(literal 15 binary32) (/.f32 #s(literal 20 binary32) ux)) ux)) ux)) (pow.f32 maxCos #s(literal 6 binary32))) (pow.f32 ux #s(literal 6 binary32)))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(* (pow ux 6) (- 1 (* 6 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 6 binary32) ux)) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (+ 1 (* -1 (/ (- 6 (* 15 (/ 1 ux))) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 #s(literal 15 binary32) ux)) ux)) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 15 (* 20 (/ 1 ux))) ux))) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6 binary32) (/.f32 (-.f32 #s(literal 15 binary32) (/.f32 #s(literal 20 binary32) ux)) ux)) ux)) (pow.f32 ux #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* (pow maxCos 6) (pow ux 6))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 6 binary32)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (pow ux 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))
(*.f32 (fma.f32 (-.f32 (*.f32 maxCos maxCos) maxCos) ux ux) ux)
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(*.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 (-.f32 maxCos #s(literal 2 binary32)) ux)) ux ux) ux)
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(*.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) ux ux) ux)
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(*.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 (+.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) ux ux) ux)
(* -1 (pow ux 3))
(pow.f32 (neg.f32 ux) #s(literal 3 binary32))
(* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux)))))
(*.f32 (-.f32 (/.f32 #s(literal 3 binary32) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))

rewrite259.0ms (4.2%)

Memory
13.1MiB live, 344.1MiB allocated
Rules
5 616×lower-fma.f64
5 612×lower-fma.f32
4 128×lower-*.f64
4 126×lower-*.f32
3 918×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02285
03482
116782
2128182
0836182
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 684
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 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32))
(pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))))
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(*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 ux)) #s(literal 3 binary32))) (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 ux))) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 ux))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (neg.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 3 binary32))) (neg.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32))))
(/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 3 binary32))) (neg.f32 (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32))))
(/.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) #s(literal 3 binary32)))
(/.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) #s(literal 3 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 3 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 3 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal 3 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal 3 binary32)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 ux)))
(fma.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal 3 binary32)) (log1p.f32 (neg.f32 ux)))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
(+.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(+.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 ux)))
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 ux)) #s(literal 3/2 binary32) (*.f32 (log1p.f32 (neg.f32 ux)) #s(literal 3/2 binary32))))
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 ux)) #s(literal 2 binary32) (log1p.f32 (neg.f32 ux))))
(exp.f32 (+.f32 (log1p.f32 (neg.f32 ux)) (*.f32 (log1p.f32 (neg.f32 ux)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 ux)) #s(literal 3/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 ux)) #s(literal 2 binary32)) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 ux)) #s(literal 3 binary32)))

eval276.0ms (4.4%)

Memory
15.2MiB live, 278.1MiB allocated
Compiler

Compiled 58 874 to 3 762 computations (93.6% saved)

prune145.0ms (2.3%)

Memory
-29.3MiB live, 70.6MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1 22641 230
Fresh000
Picked224
Done011
Total1 22871 235
Accuracy
100.0%
Counts
1 235 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
▶99.9%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶96.8%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
✓98.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶97.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
✓72.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 59 to 55 computations (6.8% saved)

simplify197.0ms (3.2%)

Memory
8.3MiB live, 234.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
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) maxCos)
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
cost-diff0
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
cost-diff0
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
cost-diff64
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
cost-diff96
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
cost-diff160
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
cost-diff3488
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
cost-diff0
(*.f32 ux ux)
cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
cost-diff224
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
Rules
27 358×lower-fma.f64
27 356×lower-fma.f32
4 414×lower-*.f64
4 404×lower-*.f32
1 922×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027180
042158
192148
2215148
3744148
42064148
54841148
08272142
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
#s(literal 1 binary32)
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(+.f32 ux #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
ux
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(*.f32 ux ux)
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 #s(literal 1 binary32) maxCos)
maxCos
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
#s(literal 1 binary32)
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(-.f32 ux #s(literal -1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(-.f32 ux #s(literal -1 binary32))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
(-.f32 ux #s(literal -1 binary32))
ux
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 ux ux)
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (-.f32 ux (*.f32 maxCos ux))))
#s(literal 1 binary32)
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
#s(approx (- ux (* maxCos ux)) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 ux (*.f32 maxCos ux))
(-.f32 #s(literal 1 binary32) maxCos)
maxCos
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

localize63.0ms (1%)

Memory
23.9MiB live, 61.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy27.81669358049304
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy0
(-.f32 #s(literal 1 binary32) maxCos)
accuracy0
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
accuracy0.01171875
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
accuracy0.046875
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
accuracy0.33822250976844204
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
accuracy0.35546875
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy0.41023261722130433
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
accuracy0.5203077915530768
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
accuracy0.01171875
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy0.1171875
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
accuracy0.359375
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
accuracy0.5203077915530768
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
Samples
45.0ms249×0valid
4.0ms7×5exit
Compiler

Compiled 139 to 26 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 19.0ms (51.3% of total)
ival-sub: 6.0ms (16.2% of total)
ival-div: 3.0ms (8.1% of total)
ival-add: 3.0ms (8.1% of total)
adjust: 2.0ms (5.4% of total)
ival-pow2: 2.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.5%)

Memory
-18.5MiB live, 25.9MiB allocated
Counts
17 → 276
Calls
Call 1
Inputs
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (patch (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())
#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (patch (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (patch (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())
#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())
#s(alt (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 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())
#s(alt (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 maxCos)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 maxCos)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 maxCos)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (- 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 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 maxCos) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) 1)) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) 1)) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) 1)) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) maxCos) (patch (-.f32 #s(literal 1 binary32) maxCos) #<representation binary32>) () ())) ())
#s(alt (* 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 #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (patch (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux))))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (patch (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux))))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (patch (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (pow ux 3) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<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 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (patch (-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (patch #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor -inf ux) (#s(alt (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (patch (*.f32 (-.f32 #s(literal 1 binary32) maxCos) 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 #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) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 ux) 1) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 ux #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 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))) (taylor -inf ux) (#s(alt (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (patch (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
18.0ms
ux
@inf
((* (- 1 (* ux ux)) (/ 1 (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* ux ux)) (* ux ux) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (* 1 (+ ux 1)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* (+ ux 1) (* ux ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (/ 1 (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))
4.0ms
ux
@-inf
((* (- 1 (* ux ux)) (/ 1 (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* ux ux)) (* ux ux) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (* 1 (+ ux 1)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* (+ ux 1) (* ux ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (/ 1 (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))
1.0ms
ux
@0
((* (- 1 (* ux ux)) (/ 1 (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* ux ux)) (* ux ux) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (* 1 (+ ux 1)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* (+ ux 1) (* ux ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (/ 1 (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))
1.0ms
maxCos
@-inf
((* (- 1 (* ux ux)) (/ 1 (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* ux ux)) (* ux ux) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (* 1 (+ ux 1)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* (+ ux 1) (* ux ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (/ 1 (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))
1.0ms
maxCos
@0
((* (- 1 (* ux ux)) (/ 1 (+ ux 1))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* ux ux)) (* ux ux) (/ (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (pow (+ ux 1) 2)) (* 1 (+ ux 1)) (- (* 1 (+ ux 1)) (* (+ ux 1) (* ux ux))) (* (+ ux 1) (* ux ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* (- 1 maxCos) ux) (- 1 maxCos) (+ (* maxCos ux) (- 1 ux)) (- 1 ux) (/ 1 (+ ux 1)) (+ (- 1 ux) (* ux maxCos)) (pow (+ ux 1) 2))

simplify174.0ms (2.8%)

Memory
27.0MiB live, 178.1MiB allocated
Algorithm
1×egg-herbie
Rules
15 822×lower-fma.f64
15 822×lower-fma.f32
3 742×lower-*.f64
3 742×lower-*.f32
2 378×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301466
13971399
211001374
343081366
082241270
Stop Event
1×iter limit
1×node limit
Counts
276 → 272
Calls
Call 1
Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
1
(+ 1 (* -1 maxCos))
(+ 1 (* -1 maxCos))
(+ 1 (* -1 maxCos))
(- 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)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* -1 maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(* maxCos (- (/ 1 maxCos) 1))
(* maxCos (- (/ 1 maxCos) 1))
(* 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)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 maxCos)
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* 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 (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 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))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 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 (* -1 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(* -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))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(* -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)))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 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))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(/ 1 ux)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(* 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 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* -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))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(* -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)))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (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)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* -1 (* 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 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 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))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 maxCos))
(-.f32 #s(literal 1 binary32) maxCos)
(+ 1 (* -1 maxCos))
(-.f32 #s(literal 1 binary32) maxCos)
(+ 1 (* -1 maxCos))
(-.f32 #s(literal 1 binary32) maxCos)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* 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 ux) maxCos)
(* 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 maxCos)
(neg.f32 maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(-.f32 #s(literal 1 binary32) maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(-.f32 #s(literal 1 binary32) maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(-.f32 #s(literal 1 binary32) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* -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 ux) maxCos)
(* -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 maxCos)
(neg.f32 maxCos)
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(-.f32 #s(literal 1 binary32) maxCos)
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(-.f32 #s(literal 1 binary32) maxCos)
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(-.f32 #s(literal 1 binary32) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 2)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(+ 1 (* -1 (pow ux 2)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(+ 1 (* -1 (pow ux 2)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (+ 1 ux))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (+ 1 ux))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* 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)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* 2 ux))
(fma.f32 #s(literal 2 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(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)
(* 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 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
ux
(* 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 (pow ux 3))
(pow.f32 (neg.f32 ux) #s(literal 3 binary32))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) ux)
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(-.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* 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 (- 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)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) #s(literal -1 binary32)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) ux) #s(literal 1 binary32)) ux) #s(literal -1 binary32)) ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 (+.f32 #s(literal 2 binary32) ux) ux)
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) 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 ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.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)
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 (pow ux 3))
(pow.f32 (neg.f32 ux) #s(literal 3 binary32))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(-.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* 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)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) #s(literal -1 binary32)) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) ux) ux) #s(literal 1 binary32)) ux) #s(literal -1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 (+.f32 #s(literal 2 binary32) ux) ux)
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))

rewrite382.0ms (6.1%)

Memory
-12.4MiB live, 457.1MiB allocated
Rules
6 896×lower-fma.f64
6 894×lower-fma.f32
4 634×lower-*.f64
4 624×lower-*.f32
4 570×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027160
042106
1210104
21639104
08843102
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 685
Calls
Call 1
Inputs
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
#s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 #s(literal 1 binary32) maxCos)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
Outputs
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (sqrt.f32 (+.f32 ux #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (sqrt.f32 (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (sqrt.f32 (+.f32 ux #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))) (sqrt.f32 (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal 1 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 ux #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (sqrt.f32 (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)) (fma.f32 ux ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))) #s(literal -1 binary32))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32)))
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(fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 ux ux ux))
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux ux))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 ux))
(pow.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32)))
(+.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux ux))
(exp.f32 (+.f32 (log1p.f32 ux) (log1p.f32 ux)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 ux) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 2 binary32)))

eval364.0ms (5.8%)

Memory
18.8MiB live, 552.4MiB allocated
Compiler

Compiled 52 251 to 4 972 computations (90.5% saved)

prune40.0ms (0.6%)

Memory
-35.5MiB live, 129.2MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 97811 979
Fresh000
Picked134
Done033
Total1 97971 986
Accuracy
100.0%
Counts
1 986 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.1%
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
✓99.9%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶96.8%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
✓98.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓97.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
✓72.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 61 to 54 computations (11.5% saved)

simplify188.0ms (3%)

Memory
29.1MiB live, 258.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff64
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
cost-diff96
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
cost-diff160
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
cost-diff384
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
Rules
25 114×lower-fma.f64
25 114×lower-fma.f32
3 672×lower-*.f64
3 664×lower-*.f32
2 080×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01490
02182
15776
216660
364060
4198060
5490960
0816956
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
ux
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal -1 binary32)))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(-.f32 ux #s(literal -1 binary32))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
(-.f32 ux #s(literal -1 binary32))
ux
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 ux ux)
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (-.f32 ux #s(literal -2 binary32)) ux #s(literal 1 binary32))

localize66.0ms (1.1%)

Memory
-28.9MiB live, 74.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.34212875976844204
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
accuracy0.3671875
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
accuracy0.42195136722130433
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
accuracy0.6127739929563127
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
Samples
57.0ms249×0valid
1.0ms7×1valid
Compiler

Compiled 70 to 16 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sub: 7.0ms (40.6% of total)
ival-mult: 6.0ms (34.8% of total)
ival-add: 2.0ms (11.6% of total)
ival-div: 1.0ms (5.8% 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)

series6.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#s(alt (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (patch (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt ux (taylor -inf ux) (#s(alt (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor -inf ux) (#s(alt (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (patch (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (patch (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux))))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (patch (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux))))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (patch (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) #<representation binary32>) () ())) ())
#s(alt (pow ux 3) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
Calls

6 calls:

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

simplify183.0ms (2.9%)

Memory
-24.7MiB live, 127.8MiB allocated
Algorithm
1×egg-herbie
Rules
13 230×lower-fma.f64
13 230×lower-fma.f32
3 070×lower-*.f64
3 070×lower-*.f32
3 042×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087457
1271449
2808428
32976422
46386422
08392385
Stop Event
1×iter limit
1×node limit
Counts
84 → 82
Calls
Call 1
Inputs
(- 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)))
(* 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 (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 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)))
1
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(* -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)))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 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))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* -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)))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (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)))
(* -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 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
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 (/ 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)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#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)
(-.f32 ux #s(literal -1 binary32))
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal -1 binary32)))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (+ 1 ux))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (+ 1 ux))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* 2 ux))
(fma.f32 #s(literal 2 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(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)
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 (pow ux 3))
(pow.f32 (neg.f32 ux) #s(literal 3 binary32))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) ux)
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(-.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal -1 binary32)))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 (+.f32 #s(literal 2 binary32) ux) ux)
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) 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)
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 (pow ux 3))
(pow.f32 (neg.f32 ux) #s(literal 3 binary32))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(-.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal -1 binary32)))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(fma.f32 ux ux (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 (+.f32 #s(literal 2 binary32) ux) ux)
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 2 binary32) ux) ux #s(literal 1 binary32))

rewrite246.0ms (3.9%)

Memory
26.9MiB live, 215.4MiB allocated
Rules
8 204×lower-fma.f64
8 204×lower-fma.f32
4 174×lower-*.f64
4 166×lower-*.f32
4 090×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01482
02168
111162
294738
0875436
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 638
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
Outputs
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32)))) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32)))) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32)))) #s(literal 1 binary32)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(*.f32 (pow.f32 (/.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(*.f32 (*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal -1 binary32) ux) ux #s(literal -1 binary32))))
(*.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)))
(*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux ux) ux))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 4 binary32))))
(*.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)))
(*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)))
(*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 ux ux ux) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 4 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal -1 binary32) ux) ux #s(literal -1 binary32))))
(*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -2 binary32)))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
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(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1/2 binary32)) (fma.f32 ux ux ux))
(fma.f32 (/.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux ux))
(fma.f32 (/.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux ux ux))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 ux ux ux))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux ux ux))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 ux ux ux))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 ux ux ux))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux ux ux))
(fma.f32 (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 (pow.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (*.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (*.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (fma.f32 ux (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) ux)
(fma.f32 (-.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) ux)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (fma.f32 ux ux ux)))) ux)
(fma.f32 (+.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 ux ux ux))
(fma.f32 (fma.f32 (neg.f32 ux) ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux ux))
(fma.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux ux ux))
(fma.f32 (fma.f32 ux ux ux) #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux ux))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux ux))
(fma.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) ux))) (fma.f32 ux ux ux))
(fma.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 ux ux ux))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux ux))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) ux (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32) (fma.f32 ux ux ux))
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux ux))
(fma.f32 #s(literal 1 binary32) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux)
(fma.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux ux))
(pow.f32 (exp.f32 (log1p.f32 ux)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux ux)) #s(literal 1 binary32))
(+.f32 (neg.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (+.f32 ux #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32))) ux)
(+.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux ux) #s(literal 1 binary32))
(+.f32 (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32)))
(+.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux)
(+.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux ux))
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 2 binary32)))
(neg.f32 (neg.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))

eval146.0ms (2.3%)

Memory
7.2MiB live, 157.7MiB allocated
Compiler

Compiled 22 391 to 2 711 computations (87.9% saved)

prune41.0ms (0.7%)

Memory
12.9MiB live, 49.5MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New7191720
Fresh000
Picked101
Done066
Total7207727
Accuracy
100.0%
Counts
727 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.1%
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
✓99.9%
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
96.8%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
✓98.1%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓97.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
✓72.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 202 to 101 computations (50% saved)

regimes109.0ms (1.8%)

Memory
-22.1MiB live, 74.3MiB allocated
Counts
11 → 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))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))))
Outputs
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
Calls

4 calls:

97.0ms
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)

regimes11.0ms (0.2%)

Memory
-11.0MiB live, 25.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.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:

5.0ms
ux
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
2.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes7.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB 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))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
maxCos
2.0ms
ux
2.0ms
uy
Results
AccuracySegmentsBranch
98.1%1ux
98.1%1uy
98.1%1maxCos
98.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes7.0ms (0.1%)

Memory
-19.7MiB live, 17.7MiB 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:

3.0ms
ux
1.0ms
maxCos
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
Results
AccuracySegmentsBranch
72.4%1ux
72.4%1uy
72.4%1maxCos
72.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

simplify27.0ms (0.4%)

Memory
21.4MiB live, 63.8MiB allocated
Algorithm
1×egg-herbie
Rules
14×+-commutative-binary32-+.f32
12×sub-neg-binary32-neg.f32-+.f32--.f32
10×*-commutative-binary32-*.f32
6×neg-mul-1-binary32-*.f32-neg.f32
6×neg-sub0-binary32--.f32-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01740
12940
23940
34540
44840
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Outputs
(-.f32 #s(literal 1 binary32) #s(approx (- ux (* maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

soundness722.0ms (11.6%)

Memory
-0.1MiB live, 417.2MiB allocated
Rules
11 816×lower-fma.f64
11 816×lower-fma.f32
5 750×lower-fma.f64
5 750×lower-fma.f32
5 316×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261970
16881923
219871898
361501870
083781751
0613
0913
14213
234313
3526813
0896812
039250
1110250
2306250
3848250
42091250
53292250
64316250
75345250
86781250
97325250
107658250
117962250
08013232
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 53 to 41 computations (22.6% saved)

preprocess105.0ms (1.7%)

Memory
-12.5MiB live, 81.4MiB allocated
Remove

(abs uy)

Compiler

Compiled 88 to 72 computations (18.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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