UniformSampleCone, z

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze132.0ms (2.6%)

Memory
-7.6MiB live, 112.2MiB 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 (25.2%)

Memory
93.7MiB live, 1 420.6MiB allocated
Samples
934.0ms8 169×0valid
10.0ms87×1valid
Precisions
Click to see histograms. Total time spent on operations: 746.0ms
const: 427.0ms (57.2% of total)
ival-<=: 122.0ms (16.4% of total)
ival-mult: 67.0ms (9% of total)
ival-sub: 46.0ms (6.2% of total)
ival-add: 42.0ms (5.6% of total)
ival-and: 30.0ms (4% of total)
exact: 8.0ms (1.1% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain61.0ms (1.2%)

Memory
-23.5MiB live, 93.6MiB 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
25.0ms508×0valid
0.0ms4×1valid
Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 6.0ms (46.9% of total)
ival-mult: 3.0ms (23.4% of total)
ival-add: 2.0ms (15.6% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess60.0ms (1.2%)

Memory
21.2MiB live, 58.2MiB allocated
Algorithm
1×egg-herbie
Rules
384×lower-fma.f64
384×lower-fma.f32
348×sub-neg
248×cancel-sign-sub-inv
204×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

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

(abs uy)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

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

Compiled 7 to 7 computations (0% saved)

simplify18.0ms (0.4%)

Memory
-17.7MiB live, 19.4MiB 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 (0.3%)

Memory
23.7MiB live, 23.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0
(*.f32 ux maxCos)
accuracy0.03515625
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms254×0valid
0.0ms2×1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (23.5% of total)
ival-sub: 1.0ms (23.5% of total)
ival-mult: 1.0ms (23.5% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB 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))

simplify163.0ms (3.3%)

Memory
-28.2MiB live, 121.7MiB 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)

rewrite179.0ms (3.6%)

Memory
6.2MiB live, 206.5MiB 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)))

eval48.0ms (0.9%)

Memory
10.2MiB live, 86.5MiB allocated
Compiler

Compiled 6 295 to 781 computations (87.6% saved)

prune5.0ms (0.1%)

Memory
21.7MiB live, 21.7MiB 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
▶99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶98.7%
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶98.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶72.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 34 to 36 computations (-5.9% saved)

simplify179.0ms (3.6%)

Memory
-11.2MiB live, 138.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
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-diff64
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
cost-diff64
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
cost-diff64
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
cost-diff544
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
#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
12 018×lower-fma.f64
12 018×lower-fma.f32
2 542×lower-*.f64
2 536×lower-*.f32
1 790×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01988
02988
15888
210285
321585
445773
5125773
6332173
7541173
8688273
9773173
0801768
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 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
(*.f32 ux maxCos)
maxCos
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
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 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 ux ux #s(literal -1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos

localize49.0ms (1%)

Memory
-6.1MiB live, 67.5MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 maxCos ux)
accuracy0.00390625
(-.f32 ux (*.f32 maxCos ux))
accuracy0.03398609264898864
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy0
(neg.f32 ux)
accuracy0.025232154760301946
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
accuracy0.03515625
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
accuracy0.390625
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.41734037147695013
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy8.772396845043795
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Samples
30.0ms254×0valid
0.0ms2×1valid
Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 11.0ms (52.6% of total)
ival-mult: 4.0ms (19.1% of total)
ival-div: 2.0ms (9.6% of total)
ival-add: 2.0ms (9.6% of total)
ival-neg: 1.0ms (4.8% 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)

series11.0ms (0.2%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
11 → 204
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 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (-.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 (neg.f32 ux) (patch (neg.f32 ux) #<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 (/ (- (pow ux 2) 1) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- 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 (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux)))))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux)))))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux)))))) (taylor inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux)))))) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux)))))) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux)))))) (taylor -inf maxCos) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (*.f32 maxCos ux)) (patch (-.f32 ux (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 maxCos ux) (patch (*.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 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 (- maxCos 1))) (taylor 0 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 (- maxCos 1))) (taylor 0 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 (- maxCos 1))) (taylor 0 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 (* -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) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (patch (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2)))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2)))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2)))) (taylor -inf ux) (#s(alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (patch (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (neg.f32 ux) #s(literal 1 binary32)) (patch (-.f32 (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 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 (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
Calls

6 calls:

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

simplify125.0ms (2.5%)

Memory
11.0MiB live, 132.3MiB allocated
Algorithm
1×egg-herbie
Rules
6 832×lower-fma.f64
6 832×lower-fma.f32
2 822×lower-*.f64
2 822×lower-*.f32
1 638×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074972
1220951
2583942
32158942
46383942
08096861
Stop Event
1×iter limit
1×node limit
Counts
204 → 203
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 (/ (- (pow ux 2) 1) (+ 1 ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(- 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)
(* 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 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -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) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* 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
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
-1
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(- (* -1 ux) 1)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* 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)
(* -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))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 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 (/ (- (pow ux 2) 1) (+ 1 ux)))
(-.f32 #s(literal 1 binary32) ux)
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos 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)
(* 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 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 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)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* 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)
(* -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) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
-1
#s(literal -1 binary32)
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
1
#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 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos 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)
(* -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)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 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 (- 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)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos 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)
(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)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 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)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)

rewrite231.0ms (4.6%)

Memory
-46.9MiB live, 327.8MiB allocated
Rules
6 906×lower-fma.f64
6 906×lower-fma.f32
4 406×lower-/.f64
4 404×lower-/.f32
4 050×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01973
02973
114559
2125558
0918853
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 1 176
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 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
(neg.f32 ux)
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 ux 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) ux)))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
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(+.f32 (neg.f32 ux) (neg.f32 (*.f32 (neg.f32 ux) maxCos)))
(+.f32 ux (*.f32 (*.f32 (neg.f32 ux) maxCos) #s(literal 1 binary32)))
(+.f32 ux (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) maxCos)))
(+.f32 ux (*.f32 (neg.f32 ux) maxCos))
(neg.f32 (-.f32 ux (*.f32 maxCos ux)))
(*.f32 maxCos ux)
(*.f32 ux maxCos)
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) ux)))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
(*.f32 #s(literal -1 binary32) ux)
(*.f32 (neg.f32 ux) #s(literal 1 binary32))
(*.f32 ux #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 0 binary32) (neg.f32 ux)))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal 0 binary32) ux)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (+.f32 #s(literal 0 binary32) ux))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) ux) (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux))) (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 0 binary32) ux)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
(-.f32 #s(literal 0 binary32) ux)
(+.f32 #s(literal 0 binary32) (neg.f32 ux))
(neg.f32 ux)

eval260.0ms (5.2%)

Memory
12.0MiB live, 202.2MiB allocated
Compiler

Compiled 27 853 to 2 389 computations (91.4% saved)

prune24.0ms (0.5%)

Memory
5.4MiB live, 81.3MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 37721 379
Fresh000
Picked134
Done011
Total1 37861 384
Accuracy
100.0%
Counts
1 384 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶98.8%
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶97.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
✓98.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓72.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 50 to 47 computations (6% saved)

simplify218.0ms (4.3%)

Memory
-14.5MiB live, 115.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
cost-diff64
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
cost-diff64
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos))
cost-diff1056
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 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) (neg.f32 ux))))
cost-diff64
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
cost-diff608
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
Rules
9 286×lower-fma.f64
9 286×lower-fma.f32
2 384×lower-*.f64
2 380×lower-*.f32
1 734×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017107
02797
15189
210489
325289
470389
5159965
6225865
7322465
8502365
9668065
10792065
0803463
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) (neg.f32 ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
#s(literal 1 binary32)
(*.f32 ux ux)
ux
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(neg.f32 ux)
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(neg.f32 ux)
ux
(/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(*.f32 ux ux)
(*.f32 ux maxCos)
maxCos
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(-.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) (neg.f32 ux))
(-.f32 ux #s(literal -1 binary32))
(neg.f32 ux)
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(-.f32 ux #s(literal -1 binary32))
(neg.f32 ux)
ux
(/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(*.f32 (/.f32 ux (-.f32 ux #s(literal -1 binary32))) ux)
(*.f32 ux ux)
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize41.0ms (0.8%)

Memory
31.5MiB live, 66.6MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos))
accuracy0.06478500976844201
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
accuracy0.3125
(/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
accuracy0.36328125
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
accuracy0
(neg.f32 ux)
accuracy0.021325904760301946
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy0.3828125
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
accuracy0.40952787147695013
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
Samples
28.0ms250×0valid
3.0ms6×5exit
Compiler

Compiled 98 to 18 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 5.0ms (28.4% of total)
ival-sub: 5.0ms (28.4% of total)
ival-mult: 3.0ms (17.1% of total)
ival-add: 2.0ms (11.4% of total)
adjust: 1.0ms (5.7% of total)
ival-neg: 1.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
-17.3MiB live, 18.5MiB allocated
Counts
9 → 132
Calls
Call 1
Inputs
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (patch (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())
#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())
#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<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) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<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) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<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) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<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) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<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) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<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) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<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) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<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) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux))))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux))))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux))))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (/ 1 ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- 1 (/ 1 ux)) ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt ux (taylor inf ux) (#s(alt (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 (/ 1 ux))) (taylor inf ux) (#s(alt (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux))) (taylor inf ux) (#s(alt (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3))))) (taylor inf ux) (#s(alt (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt ux (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (patch (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (patch (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (patch (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (patch (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (/ 1 ux) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 ux) 1) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<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 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt ux (taylor -inf ux) (#s(alt (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (/ 1 ux) 1))) (taylor -inf ux) (#s(alt (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1))) (taylor -inf ux) (#s(alt (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1))) (taylor -inf ux) (#s(alt (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
Calls

6 calls:

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

simplify124.0ms (2.5%)

Memory
32.7MiB live, 151.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 108×lower-fma.f64
9 108×lower-fma.f32
2 642×lower-*.f64
2 642×lower-*.f32
1 564×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100795
1302764
2822720
32810715
46899715
08166674
Stop Event
1×iter limit
1×node limit
Counts
132 → 128
Calls
Call 1
Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 ux)
(+ 1 ux)
(+ 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)))
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 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* 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))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(/ 1 ux)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
ux
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(* -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 (* 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))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(/ 1 ux)
(* -1 (/ (- (/ 1 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 ux)
(* -1 ux)
(* -1 ux)
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos ux)
(*.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 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
1
#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 (- 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))
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 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #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 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* -1 ux)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(*.f32 (*.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) ux) ux)
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (*.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))
(* 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))
(* -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 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (/.f32 (-.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))) ux) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) ux) #s(literal -1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
ux
(* ux (- 1 (/ 1 ux)))
(-.f32 ux #s(literal 1 binary32))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(-.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(+.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) 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)
ux
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.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))
(* -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 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (/.f32 (-.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))) ux) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) ux) #s(literal -1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(-.f32 ux #s(literal 1 binary32))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(-.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
(+.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) ux)

rewrite186.0ms (3.7%)

Memory
2.7MiB live, 188.7MiB allocated
Rules
5 780×lower-*.f64
5 776×lower-*.f32
4 038×lower-/.f64
4 032×lower-/.f32
3 470×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01787
02783
113846
2153846
0939943
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 570
Calls
Call 1
Inputs
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(neg.f32 ux)
(/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux))))))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (*.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 ux ux))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux))))) (*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux)))) (*.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))))) (pow.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)) (fma.f32 (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))) (*.f32 (fma.f32 (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))) (*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32))))) (pow.f32 (fma.f32 (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (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 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (*.f32 ux ux) #s(literal -1 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux ux) #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal -1 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) #s(literal -1 binary32))) (*.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(/.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) #s(literal 1 binary32))) (*.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (neg.f32 ux) ux))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 ux ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 (*.f32 ux ux) #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (exp.f32 (neg.f32 (log1p.f32 ux)))) (fma.f32 ux ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (exp.f32 (neg.f32 (log1p.f32 ux)))) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (neg.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux))))))
(/.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(/.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) (neg.f32 ux))))
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(/.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) (neg.f32 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) (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (neg.f32 ux) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 (neg.f32 ux) ux)) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(/.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 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
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(fma.f32 ux (neg.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) (exp.f32 (neg.f32 (log1p.f32 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) (exp.f32 (neg.f32 (log1p.f32 ux))) (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(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 (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1 binary32))
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(pow.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
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(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) ux)
(exp.f32 (*.f32 (neg.f32 (log1p.f32 ux)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 ux))
(neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
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(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux (exp.f32 (neg.f32 (log1p.f32 ux)))) (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux))
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(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
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(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (fma.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) maxCos))))
(fma.f32 maxCos 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))) (fma.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos 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 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) maxCos))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (exp.f32 (neg.f32 (log1p.f32 ux))) (*.f32 maxCos ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))) (fma.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) maxCos))))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.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)))) #s(literal -1 binary32))
(+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (fma.f32 maxCos ux (exp.f32 (neg.f32 (log1p.f32 ux)))) (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (fma.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)))
(+.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) maxCos))))
(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)))
(+.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.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)))
(*.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)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 ux))) (pow.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux)))
(/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(exp.f32 (neg.f32 (log1p.f32 ux)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal -1 binary32) ux)
(*.f32 (neg.f32 ux) #s(literal 1 binary32))
(*.f32 ux #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux))))
(/.f32 (*.f32 (neg.f32 ux) ux) (+.f32 #s(literal 0 binary32) ux))
(-.f32 #s(literal 0 binary32) ux)
(+.f32 #s(literal 0 binary32) (neg.f32 ux))
(neg.f32 ux)
(*.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux)
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (pow.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (*.f32 ux ux))
(*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(*.f32 (*.f32 ux ux) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux))
(/.f32 (*.f32 (*.f32 ux ux) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(/.f32 (*.f32 (neg.f32 ux) ux) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))
(pow.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) #s(literal -1 binary32)))
(exp.f32 (-.f32 (log.f32 (*.f32 ux ux)) (log1p.f32 ux)))
(neg.f32 (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))

eval146.0ms (2.9%)

Memory
-29.7MiB live, 177.8MiB allocated
Compiler

Compiled 24 673 to 2 326 computations (90.6% saved)

prune24.0ms (0.5%)

Memory
8.8MiB live, 48.2MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 03621 038
Fresh000
Picked202
Done044
Total1 03861 044
Accuracy
100.0%
Counts
1 044 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶98.8%
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶97.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
✓98.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓72.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 48 to 47 computations (2.1% saved)

simplify161.0ms (3.2%)

Memory
27.9MiB live, 176.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
cost-diff64
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
cost-diff64
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
cost-diff1056
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 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 ux #s(literal 1 binary32))))
cost-diff608
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
Rules
9 286×lower-fma.f64
9 286×lower-fma.f32
2 384×lower-*.f64
2 380×lower-*.f32
1 734×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018102
02996
15590
211090
325890
471390
5161366
6226966
7324766
8504566
9669666
10796366
0807764
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 ux #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
#s(literal 1 binary32)
(*.f32 ux ux)
ux
(+.f32 ux #s(literal 1 binary32))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(neg.f32 ux)
ux
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
(*.f32 ux ux)
(+.f32 ux #s(literal 1 binary32))
(*.f32 ux maxCos)
maxCos
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 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 ux #s(literal 1 binary32))
(-.f32 ux #s(literal -1 binary32))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(-.f32 ux #s(literal -1 binary32))
(neg.f32 ux)
ux
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 ux (-.f32 ux #s(literal -1 binary32))) ux)
(*.f32 ux ux)
(+.f32 ux #s(literal 1 binary32))
(-.f32 ux #s(literal -1 binary32))
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize44.0ms (0.9%)

Memory
23.2MiB live, 97.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
accuracy0.06478500976844201
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
accuracy0.3125
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
accuracy0.36328125
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
accuracy0
(*.f32 ux ux)
accuracy0.021325904760301946
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy0.3828125
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
accuracy0.40952787147695013
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
Samples
31.0ms250×0valid
3.0ms6×5exit
Compiler

Compiled 94 to 19 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (45% of total)
ival-sub: 5.0ms (20.5% of total)
ival-add: 3.0ms (12.3% of total)
ival-mult: 3.0ms (12.3% of total)
adjust: 1.0ms (4.1% of total)
ival-neg: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-26.1MiB live, 25.8MiB allocated
Counts
9 → 132
Calls
Call 1
Inputs
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.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 ux #s(literal 1 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (patch (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (patch (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 (*.f32 ux ux) (+.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 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
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#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (patch (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (patch (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (patch (-.f32 #s(literal 1 binary32) (neg.f32 ux)) #<representation binary32>) () ())) ())
#s(alt (/ 1 ux) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 ux) 1) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<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 #s(literal 1 binary32) (neg.f32 ux))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) #<representation binary32>) () ())) ())
#s(alt ux (taylor -inf ux) (#s(alt (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (/ 1 ux) 1))) (taylor -inf ux) (#s(alt (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1))) (taylor -inf ux) (#s(alt (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1))) (taylor -inf ux) (#s(alt (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
Calls

6 calls:

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

simplify123.0ms (2.4%)

Memory
-12.9MiB live, 176.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 108×lower-fma.f64
9 108×lower-fma.f32
2 642×lower-*.f64
2 642×lower-*.f32
1 564×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100807
1302776
2821732
32808727
46898727
08153686
Stop Event
1×iter limit
1×node limit
Counts
132 → 128
Calls
Call 1
Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
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 (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (pow ux 2))
(* (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 (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(/ 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
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(* -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))))
(* -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
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* 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))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* maxCos ux)
(*.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 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(-.f32 (*.f32 maxCos ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
1
#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 (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
(+ 1 ux)
(-.f32 ux #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #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))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* -1 ux)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(*.f32 (*.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) ux) ux)
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (*.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 (- 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 (- 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
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (/.f32 (-.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))) ux) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) ux) #s(literal -1 binary32)) ux)
ux
(* ux (- 1 (/ 1 ux)))
(-.f32 ux #s(literal 1 binary32))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(-.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(+.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) 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)
(* -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)
(* -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
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(* ux (+ 1 (/ 1 ux)))
(-.f32 ux #s(literal -1 binary32))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (/.f32 (-.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))) ux) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) ux) #s(literal -1 binary32)) ux)
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(-.f32 ux #s(literal 1 binary32))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(-.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
(+.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux) #s(literal 1 binary32)) ux)

rewrite290.0ms (5.8%)

Memory
-5.5MiB live, 338.5MiB allocated
Rules
5 232×lower-*.f64
5 228×lower-*.f32
4 090×lower-fma.f64
4 090×lower-fma.f32
3 818×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01883
02959
115147
2165547
0909444
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 643
Calls
Call 1
Inputs
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.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 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
Outputs
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.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 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux (exp.f32 (neg.f32 (log1p.f32 ux))))))
(*.f32 (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 6 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (/.f32 (*.f32 ux ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (fma.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux (exp.f32 (neg.f32 (log1p.f32 ux))))) (*.f32 (fma.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux (exp.f32 (neg.f32 (log1p.f32 ux)))) (*.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))))) (pow.f32 (fma.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux (exp.f32 (neg.f32 (log1p.f32 ux)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)) (+.f32 (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (/.f32 (*.f32 ux ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)))) (*.f32 (+.f32 (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (/.f32 (*.f32 ux ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))) (*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32))))) (pow.f32 (+.f32 (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (/.f32 (*.f32 ux ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))) #s(literal 2 binary32)))
(/.f32 (-.f32 (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 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (*.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (-.f32 ux #s(literal 1 binary32))) (*.f32 (-.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 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (*.f32 ux ux))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 ux ux))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal -1 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 (*.f32 ux ux) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (*.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) #s(literal -1 binary32))) (*.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(/.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) #s(literal 1 binary32))) (*.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (*.f32 (neg.f32 ux) ux))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (*.f32 ux ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))))
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 (neg.f32 ux) ux)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (exp.f32 (neg.f32 (log1p.f32 ux))))
(/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (exp.f32 (neg.f32 (log1p.f32 ux)))) (fma.f32 ux ux #s(literal 1 binary32)))
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(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux) (exp.f32 (neg.f32 (log1p.f32 ux))))
(fma.f32 #s(literal -1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal 1 binary32) (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) (exp.f32 (neg.f32 (log1p.f32 ux))))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 ux ux) (neg.f32 (exp.f32 (neg.f32 (log1p.f32 ux)))) (exp.f32 (neg.f32 (log1p.f32 ux))))
(fma.f32 ux (neg.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) (exp.f32 (neg.f32 (log1p.f32 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) (exp.f32 (neg.f32 (log1p.f32 ux))) (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(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 (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux (exp.f32 (neg.f32 (log1p.f32 ux)))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (/.f32 (*.f32 ux ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) (exp.f32 (neg.f32 (log1p.f32 ux))))
(+.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) ux)
(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 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.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)))
(*.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)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.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 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.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 ux (-.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 ux ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))))
(/.f32 (fma.f32 ux 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) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux)))
(/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(exp.f32 (neg.f32 (log1p.f32 ux)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux)
(*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (pow.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal -1 binary32)))
(*.f32 (exp.f32 (neg.f32 (log1p.f32 ux))) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 ux (-.f32 #s(literal 1 binary32) ux)) ux))
(/.f32 (*.f32 (neg.f32 ux) ux) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))))
(pow.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (pow.f32 ux #s(literal -2 binary32)))) #s(literal -1 binary32)))
(exp.f32 (-.f32 (*.f32 (log.f32 ux) #s(literal 2 binary32)) (log1p.f32 ux)))
(neg.f32 (*.f32 (neg.f32 ux) (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))

eval75.0ms (1.5%)

Memory
-11.4MiB live, 146.6MiB allocated
Compiler

Compiled 17 224 to 1 769 computations (89.7% saved)

prune15.0ms (0.3%)

Memory
17.7MiB live, 57.2MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New7961797
Fresh000
Picked112
Done044
Total7976803
Accuracy
100.0%
Counts
803 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
98.8%
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓97.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
✓98.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓72.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 156 to 80 computations (48.7% saved)

regimes16.0ms (0.3%)

Memory
-9.4MiB live, 29.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.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) (neg.f32 ux))))
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 ux maxCos))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
Calls

4 calls:

5.0ms
uy
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
ux
3.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes8.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Calls

4 calls:

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

Compiled 10 to 16 computations (-60% saved)

regimes9.0ms (0.2%)

Memory
-31.8MiB live, 15.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

4.0ms
uy
2.0ms
maxCos
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
ux
Results
AccuracySegmentsBranch
98.7%1ux
98.7%1uy
98.7%1maxCos
98.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes5.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
maxCos
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
72.6%1ux
72.6%1uy
72.6%1maxCos
72.6%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

simplify25.0ms (0.5%)

Memory
11.7MiB live, 50.9MiB allocated
Algorithm
1×egg-herbie
Rules
52×distribute-lft-neg-in-binary32-*.f32-neg.f32
42×unsub-neg-binary32--.f32-neg.f32-+.f32
36×distribute-neg-in-binary32-+.f32-neg.f32
26×sub-neg-binary32-neg.f32-+.f32--.f32
26×cancel-sign-sub-binary32-+.f32-neg.f32-*.f32--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
12934
24734
37034
410434
514134
616834
718234
818334
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (*.f32 maxCos ux) ux) #s(literal 1 binary32))
(+.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))

soundness611.0ms (12.2%)

Memory
-25.3MiB live, 214.7MiB allocated
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
5 316×lower-fma.f64
5 316×lower-fma.f32
4 062×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 45 to 32 computations (28.9% saved)

preprocess39.0ms (0.8%)

Memory
2.6MiB live, 76.1MiB allocated
Remove

(abs uy)

Compiler

Compiled 96 to 78 computations (18.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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