UniformSampleCone, z

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze88.0ms (1.5%)

Memory
3.9MiB live, 115.2MiB 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)

sample1.0s (17.4%)

Memory
57.2MiB live, 1 422.2MiB allocated
Samples
651.0ms8 172×0valid
9.0ms84×1valid
Precisions
Click to see histograms. Total time spent on operations: 458.0ms
const: 155.0ms (33.8% of total)
ival-<=: 118.0ms (25.7% of total)
ival-mult: 50.0ms (10.9% of total)
ival-add: 47.0ms (10.3% of total)
ival-sub: 46.0ms (10% of total)
ival-and: 29.0ms (6.3% of total)
exact: 7.0ms (1.5% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain59.0ms (1%)

Memory
15.7MiB live, 96.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms508×0valid
0.0ms4×1valid
Compiler

Compiled 46 to 25 computations (45.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 5.0ms (42% of total)
ival-mult: 3.0ms (25.2% of total)
ival-sub: 2.0ms (16.8% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

(abs uy)

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify20.0ms (0.3%)

Memory
-19.1MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 ux maxCos)
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
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 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
maxCos

localize16.0ms (0.3%)

Memory
27.0MiB live, 27.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0
(*.f32 ux maxCos)
accuracy0.0390625
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms254×0valid
0.0ms2×1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (45.3% of total)
ival-add: 1.0ms (22.7% of total)
ival-sub: 1.0ms (22.7% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-30.2MiB live, 7.3MiB 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 (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 (* 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 (+ 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 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 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 (-.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 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 (* -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 (* -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 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 (* 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 (* 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 (* 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 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 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>) () ())) ())
Calls

15 calls:

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

simplify186.0ms (3.1%)

Memory
11.0MiB live, 161.1MiB allocated
Algorithm
1×egg-herbie
Rules
5 316×lower-fma.f64
5 316×lower-fma.f32
2 180×div-sub
2 012×lower-*.f64
2 012×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -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 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -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)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.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 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)
(* -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 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)

rewrite483.0ms (8.1%)

Memory
8.0MiB live, 329.4MiB 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
(neg.f32 (neg.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 maxCos) ux))
(+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(+.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux maxCos ux)))
(+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 maxCos (neg.f32 ux)))
(+.f32 (*.f32 ux maxCos) (+.f32 #s(literal 1 binary32) ux))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(+.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(+.f32 (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(+.f32 (*.f32 maxCos (neg.f32 ux)) (+.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(+.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux) (*.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32))
(fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 ux #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 ux (neg.f32 maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (+.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 1 binary32))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (*.f32 #s(literal 1 binary32) maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (exp.f32 (log.f32 maxCos)) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 maxCos ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 (neg.f32 ux) maxCos (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (*.f32 (fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 maxCos) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos ux) (*.f32 ux ux))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (*.f32 maxCos (neg.f32 ux)) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) ux (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 #s(literal -1 binary32) ux (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (*.f32 ux maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal -1 binary32) (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 ux (-.f32 ux (*.f32 maxCos (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))
(fma.f32 (neg.f32 maxCos) ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (+.f32 (neg.f32 maxCos) #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (*.f32 maxCos #s(literal 1 binary32)) ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 (neg.f32 maxCos) #s(literal 1 binary32)) ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #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)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #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)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
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(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (*.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux ux #s(literal 1 binary32)))
(/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux 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 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (exp.f32 (log1p.f32 (*.f32 ux (*.f32 ux ux)))) (exp.f32 (log1p.f32 (fma.f32 ux ux ux))))
(/.f32 (exp.f32 (log1p.f32 (neg.f32 (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))))) (exp.f32 (log.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)))) (exp.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) ux)))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))
(*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.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) (neg.f32 (+.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux 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 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #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)))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (exp.f32 (log1p.f32 (*.f32 ux (*.f32 ux ux)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))))
(*.f32 (exp.f32 (log1p.f32 (neg.f32 (*.f32 ux ux)))) (exp.f32 (neg.f32 (log1p.f32 ux))))
(exp.f32 (log.f32 (*.f32 ux maxCos)))
(exp.f32 (*.f32 (log.f32 (*.f32 ux maxCos)) #s(literal 1 binary32)))
(pow.f32 (*.f32 ux maxCos) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 ux maxCos))
(*.f32 ux maxCos)
(*.f32 ux (*.f32 #s(literal 1 binary32) maxCos))
(*.f32 ux (exp.f32 (log.f32 maxCos)))
(*.f32 maxCos ux)
(*.f32 (*.f32 ux maxCos) #s(literal 1 binary32))
(*.f32 (*.f32 maxCos #s(literal 1 binary32)) ux)
(*.f32 (exp.f32 (log.f32 maxCos)) ux)

eval44.0ms (0.7%)

Memory
-6.7MiB live, 70.2MiB allocated
Compiler

Compiled 8 169 to 762 computations (90.7% saved)

prune74.0ms (1.2%)

Memory
5.5MiB live, 127.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3647371
Fresh000
Picked101
Done000
Total3657372
Accuracy
100.0%
Counts
372 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
▶99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))))
98.3%
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
▶99.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
▶98.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶71.8%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 198 to 116 computations (41.4% saved)

simplify299.0ms (5%)

Memory
15.1MiB live, 372.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
cost-diff0
(neg.f32 ux)
cost-diff0
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
cost-diff768
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
cost-diff0
(+.f32 #s(literal -1 binary32) maxCos)
cost-diff0
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Rules
19 740×lower-fma.f64
19 732×lower-fma.f32
2 174×lower-+.f64
2 170×lower-+.f32
1 792×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020100
03289
15989
29589
318289
441189
572689
6125389
7210189
8370589
9632789
0819889
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
ux
(+.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
maxCos
#s(literal 1 binary32)
#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
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
ux
(neg.f32 ux)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(+.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
maxCos
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
(+.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
maxCos
#s(literal 1 binary32)
#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
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
ux
(neg.f32 ux)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 ux #s(literal 1 binary32))
(*.f32 ux maxCos)
maxCos

localize52.0ms (0.9%)

Memory
-21.2MiB live, 98.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 ux maxCos)
accuracy0
(neg.f32 ux)
accuracy0.1484375
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
accuracy0.359375
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
accuracy0.0390625
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.5053138447123532
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy9.02120671512602
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy0
(+.f32 #s(literal -1 binary32) maxCos)
accuracy0.021816259768442016
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Samples
29.0ms252×0valid
1.0ms4×1valid
Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 9.0ms (46.8% of total)
ival-mult: 6.0ms (31.2% of total)
ival-div: 2.0ms (10.4% of total)
ival-sub: 1.0ms (5.2% of total)
ival-neg: 1.0ms (5.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
12 → 228
Calls
Call 1
Inputs
#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal -1 binary32) maxCos) (patch (+.f32 #s(literal -1 binary32) maxCos) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor -inf ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) (taylor 0 maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux)))) (taylor 0 maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux)))) (taylor 0 maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux)))) (taylor 0 maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux)))))) (taylor inf maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux)))))) (taylor inf maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux)))))) (taylor inf maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (pow ux 2))) (taylor 0 ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (pow ux 2))) (taylor 0 ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (pow ux 2))) (taylor 0 ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor inf ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor inf ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor inf ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor inf ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor -inf ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor -inf ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1)) (taylor -inf ux) (#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor 0 ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor 0 ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor 0 ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor 0 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 (* -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 (* -1 ux) (taylor -inf ux) (#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- ux 1))) (taylor 0 ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))) (taylor 0 ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (/ 1 ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (/ (- 1 (/ 1 ux)) ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 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) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (/ 1 ux) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 ux) 1) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -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) ux)) (patch (/.f32 #s(literal 1 binary32) (+.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 (* 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 (* 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 (* 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 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 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>) () ())) ())
Calls

57 calls:

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

simplify253.0ms (4.2%)

Memory
21.8MiB live, 176.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 722×lower-fma.f64
8 722×lower-fma.f32
2 690×lower-*.f64
2 690×lower-*.f32
1 818×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01101313
13291286
28231282
324431261
462691260
082691150
Stop Event
1×iter limit
1×node limit
Counts
228 → 226
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
-1
(- maxCos 1)
(- maxCos 1)
(- maxCos 1)
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -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 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -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 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -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 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -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 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(* -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 (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 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -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 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
-1
#s(literal -1 binary32)
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.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 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)
(* -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
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 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 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux 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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) 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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)

rewrite435.0ms (7.3%)

Memory
-4.6MiB live, 534.5MiB allocated
Rules
9 880×lower-fma.f64
9 872×lower-fma.f32
3 886×lower-*.f64
3 884×lower-*.f32
3 878×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02081
03270
114570
2125670
0870570
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 1 039
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 #s(literal -1 binary32) maxCos)
#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)
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux maxCos)
Outputs
(neg.f32 (/.f32 (fma.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (fma.f32 (*.f32 ux maxCos) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))))
(neg.f32 (/.f32 (fma.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos)))))))
(neg.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos)))) (neg.f32 (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))))))
(neg.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux)) (fma.f32 maxCos (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux))))
(neg.f32 (/.f32 (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) #s(literal 1 binary32)) (neg.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) (-.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))))))
(neg.f32 (/.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) #s(literal -1 binary32)) (neg.f32 (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (*.f32 ux maxCos) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))))))
(neg.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))))) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos)))))
(neg.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux))) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) #s(literal 1 binary32))) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) (-.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux))))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) #s(literal -1 binary32))) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))))))
(+.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux)) (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux))))
(+.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))))))
(fma.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux)) (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux))))
(fma.f32 (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
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(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal -1 binary32)))
(/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32))
(*.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))
(*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 ux maxCos)
(*.f32 maxCos ux)
(*.f32 #s(literal 1 binary32) (*.f32 ux maxCos))
(*.f32 (*.f32 ux maxCos) #s(literal 1 binary32))

eval201.0ms (3.3%)

Memory
-15.2MiB live, 315.1MiB allocated
Compiler

Compiled 42 497 to 1 820 computations (95.7% saved)

prune259.0ms (4.3%)

Memory
19.3MiB live, 402.8MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 59321 595
Fresh202
Picked145
Done000
Total1 59661 602
Accuracy
100.0%
Counts
1 602 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶98.3%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
✓99.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
▶97.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
✓98.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓71.8%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 62 to 40 computations (35.5% saved)

simplify226.0ms (3.8%)

Memory
6.4MiB live, 221.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 ux ux)
cost-diff0
(neg.f32 (*.f32 ux ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
cost-diff672
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
cost-diff0
(*.f32 ux (*.f32 ux ux))
cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
cost-diff64
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
Rules
7 976×lower-fma.f64
7 972×lower-fma.f32
3 822×lower-*.f64
3 818×lower-*.f32
1 940×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017101
02793
16291
213181
324681
470281
5272181
6522181
0813379
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 (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux ux))
ux
(*.f32 ux ux)
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(fma.f32 ux ux ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(neg.f32 (*.f32 ux ux))
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux (*.f32 ux ux) #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 (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(fma.f32 (*.f32 ux ux) (neg.f32 ux) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux ux))
ux
(*.f32 ux ux)
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(fma.f32 ux ux ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(neg.f32 (*.f32 ux ux))
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

localize56.0ms (0.9%)

Memory
-26.3MiB live, 93.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 ux ux)
accuracy0
(neg.f32 (*.f32 ux ux))
accuracy0.06434248130621892
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy0.4896888447123532
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
accuracy0.02734375
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
accuracy0.265625
(*.f32 ux (*.f32 ux ux))
accuracy0.40625
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
accuracy0.4896888447123532
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
Samples
33.0ms250×0valid
3.0ms6×5exit
Compiler

Compiled 82 to 19 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-add: 12.0ms (45.3% of total)
ival-mult: 6.0ms (22.7% of total)
ival-div: 3.0ms (11.3% of total)
ival-sub: 3.0ms (11.3% of total)
adjust: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
8 → 120
Calls
Call 1
Inputs
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) #<representation binary32>) () ())
#s(alt (*.f32 ux (*.f32 ux ux)) (patch (*.f32 ux (*.f32 ux ux)) #<representation binary32>) () ())
#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())
#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor 0 ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor 0 ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor 0 ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor 0 ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor inf ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor inf ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor inf ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor inf ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (neg.f32 (*.f32 ux ux)) (patch (neg.f32 (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
Calls

30 calls:

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

simplify166.0ms (2.8%)

Memory
18.9MiB live, 238.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 148×lower-fma.f64
5 148×lower-fma.f32
3 340×lower-*.f64
3 340×lower-*.f32
1 296×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052539
1139530
2393530
31145530
42862530
55079530
66899530
08115494
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -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 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(* -1 (pow ux 3))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -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 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (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))
(* -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)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
Outputs
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 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)
(* -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
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.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 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)
(* -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
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 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)
(pow ux 2)
(*.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)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)

rewrite261.0ms (4.4%)

Memory
-10.1MiB live, 513.0MiB allocated
Rules
7 220×lower-fma.f64
7 216×lower-fma.f32
3 744×lower-/.f64
3 740×lower-/.f32
3 244×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01781
02779
113843
2118143
0928541
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 526
Calls
Call 1
Inputs
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(*.f32 ux (*.f32 ux ux))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(neg.f32 (*.f32 ux ux))
(*.f32 ux ux)
Outputs
(neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 ux #s(literal 1 binary32))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(+.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (/.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 ux (neg.f32 ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 ux (neg.f32 ux)) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (neg.f32 ux)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (*.f32 ux ux) #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 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 (fma.f32 ux ux ux) (+.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (/.f32 (*.f32 (*.f32 ux (neg.f32 ux)) (neg.f32 ux)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (neg.f32 ux)) ux #s(literal 1 binary32))
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(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #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)))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #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)))))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #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)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #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)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) ux))
(neg.f32 (*.f32 ux ux))
(+.f32 #s(literal 0 binary32) (*.f32 ux (neg.f32 ux)))
(-.f32 #s(literal 0 binary32) (*.f32 ux ux))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal 0 binary32))) (*.f32 ux (neg.f32 ux)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 ux ux)) (*.f32 ux ux))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal 0 binary32)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (neg.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))))))
(/.f32 ux (/.f32 #s(literal -1 binary32) ux))
(/.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal 0 binary32)))
(/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (neg.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal 0 binary32))))
(/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 #s(literal 0 binary32) (*.f32 ux (neg.f32 ux))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 ux (neg.f32 ux)))
(/.f32 (neg.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 ux ux))
(*.f32 #s(literal 1 binary32) (*.f32 ux (neg.f32 ux)))
(*.f32 ux (neg.f32 ux))
(*.f32 (*.f32 ux ux) #s(literal -1 binary32))
(*.f32 (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 ux ux))
(*.f32 (neg.f32 ux) ux)
(*.f32 (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal 0 binary32))))
(*.f32 (neg.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(neg.f32 (*.f32 ux (neg.f32 ux)))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 ux)))
(exp.f32 (*.f32 (log.f32 (neg.f32 ux)) #s(literal 2 binary32)))
(+.f32 #s(literal 0 binary32) (*.f32 ux ux))
(pow.f32 ux #s(literal 2 binary32))
(pow.f32 (*.f32 ux ux) #s(literal 1 binary32))
(pow.f32 (neg.f32 ux) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 ux)) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 ux (neg.f32 ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))
(/.f32 #s(literal 1 binary32) (/.f32 ux (*.f32 (neg.f32 ux) (*.f32 ux (neg.f32 ux)))))
(/.f32 #s(literal 1 binary32) (/.f32 ux (*.f32 (*.f32 ux (neg.f32 ux)) (neg.f32 ux))))
(/.f32 ux (/.f32 #s(literal 1 binary32) ux))
(/.f32 (neg.f32 ux) (/.f32 #s(literal -1 binary32) ux))
(/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal 0 binary32))))
(/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 ux ux))
(/.f32 (*.f32 (neg.f32 ux) (*.f32 ux (neg.f32 ux))) ux)
(/.f32 (*.f32 (*.f32 ux (neg.f32 ux)) (neg.f32 ux)) ux)
(/.f32 (neg.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (neg.f32 ux)))
(/.f32 (neg.f32 (*.f32 (neg.f32 ux) (*.f32 ux (neg.f32 ux)))) (neg.f32 ux))
(/.f32 (neg.f32 (*.f32 (*.f32 ux (neg.f32 ux)) (neg.f32 ux))) (neg.f32 ux))
(*.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 (*.f32 ux ux) #s(literal 1 binary32))
(*.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 (*.f32 ux (neg.f32 ux)) (*.f32 (*.f32 ux (neg.f32 ux)) (neg.f32 ux))))
(*.f32 (*.f32 ux (neg.f32 ux)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (neg.f32 ux)))
(*.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux (neg.f32 ux)) (neg.f32 ux)))
(*.f32 #s(literal -1 binary32) (*.f32 ux (neg.f32 ux)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)))
(*.f32 (neg.f32 ux) (neg.f32 ux))
(*.f32 (neg.f32 ux) (/.f32 (neg.f32 ux) #s(literal 1 binary32)))
(*.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux))
(*.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (pow.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)))
(*.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))
(*.f32 (*.f32 (neg.f32 ux) (*.f32 ux (neg.f32 ux))) (/.f32 #s(literal 1 binary32) ux))
(*.f32 (*.f32 (*.f32 ux (neg.f32 ux)) (neg.f32 ux)) (/.f32 #s(literal 1 binary32) ux))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) (neg.f32 ux)) #s(literal 2 binary32)) (*.f32 ux ux))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux (*.f32 ux (*.f32 ux ux))))
(*.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)))
(*.f32 (/.f32 (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) #s(literal -1 binary32))
(*.f32 (/.f32 (neg.f32 ux) #s(literal 1 binary32)) (neg.f32 ux))
(*.f32 (/.f32 (*.f32 ux (neg.f32 ux)) #s(literal -1 binary32)) (/.f32 (*.f32 ux (neg.f32 ux)) (*.f32 ux (neg.f32 ux))))
(*.f32 (/.f32 (*.f32 ux (neg.f32 ux)) (*.f32 ux (neg.f32 ux))) (/.f32 (*.f32 ux (neg.f32 ux)) (*.f32 (/.f32 #s(literal 1 binary32) ux) (neg.f32 ux))))
(*.f32 (/.f32 (*.f32 ux (neg.f32 ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (/.f32 (*.f32 ux (neg.f32 ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)))
(*.f32 (/.f32 (*.f32 ux (neg.f32 ux)) (/.f32 (/.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (*.f32 ux (neg.f32 ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))
(*.f32 (/.f32 (*.f32 ux (neg.f32 ux)) (*.f32 (neg.f32 ux) (*.f32 ux (neg.f32 ux)))) (*.f32 ux (*.f32 ux ux)))

eval57.0ms (1%)

Memory
11.1MiB live, 169.7MiB allocated
Compiler

Compiled 16 997 to 1 105 computations (93.5% saved)

prune81.0ms (1.4%)

Memory
-4.8MiB live, 215.1MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New7041705
Fresh000
Picked112
Done044
Total7056711
Accuracy
100.0%
Counts
711 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶98.3%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)))
✓99.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
✓97.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
✓98.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓71.8%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify135.0ms (2.3%)

Memory
4.2MiB live, 80.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 ux ux)
cost-diff0
(/.f32 #s(literal -1 binary32) ux)
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)))
cost-diff608
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))
Rules
3 092×lower-*.f64
3 090×lower-*.f32
2 928×lower-fma.f64
2 926×lower-fma.f32
1 702×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
01533
12933
25633
39823
420323
545123
6215223
7400923
8552623
9688123
10779923
0809822
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
ux
(*.f32 ux ux)
#s(literal 1 binary32)
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
ux
(*.f32 ux ux)
#s(literal 1 binary32)

localize40.0ms (0.7%)

Memory
9.1MiB live, 47.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f32 #s(literal -1 binary32) ux)
accuracy0
(*.f32 ux ux)
accuracy0.06434248130621892
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))
accuracy0.4896888447123532
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)))
Samples
29.0ms250×0valid
2.0ms6×5exit
Compiler

Compiled 27 to 14 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (34.8% of total)
ival-div: 2.0ms (17.4% of total)
ival-add: 2.0ms (17.4% of total)
adjust: 1.0ms (8.7% of total)
ival-sub: 1.0ms (8.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.9%)

Memory
-34.9MiB live, 5.7MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) ux) (patch (/.f32 #s(literal -1 binary32) ux) #<representation binary32>) () ())
#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ -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 ux) (taylor 0 ux) (#s(alt (/.f32 #s(literal -1 binary32) ux) (patch (/.f32 #s(literal -1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (/ -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 ux) (taylor 0 ux) (#s(alt (/.f32 #s(literal -1 binary32) ux) (patch (/.f32 #s(literal -1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (/ -1 ux) (taylor inf ux) (#s(alt (/.f32 #s(literal -1 binary32) ux) (patch (/.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) (taylor inf ux) (#s(alt (/.f32 #s(literal -1 binary32) ux) (patch (/.f32 #s(literal -1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (/ -1 ux) (taylor inf ux) (#s(alt (/.f32 #s(literal -1 binary32) ux) (patch (/.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) (taylor -inf ux) (#s(alt (/.f32 #s(literal -1 binary32) ux) (patch (/.f32 #s(literal -1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (/ -1 ux) (taylor -inf ux) (#s(alt (/.f32 #s(literal -1 binary32) ux) (patch (/.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 (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 ux ux) (patch (*.f32 ux ux) #<representation binary32>) () ())) ())
Calls

15 calls:

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

simplify185.0ms (3.1%)

Memory
16.7MiB live, 211.9MiB allocated
Algorithm
1×egg-herbie
Rules
4 892×lower-fma.f64
4 892×lower-fma.f32
2 168×lower-*.f64
2 168×lower-*.f32
1 566×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042250
1114250
2309250
3857250
42152250
53431250
64301250
75477250
86781250
97367250
107597250
08019232
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -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 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
Outputs
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 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)
(* -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
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) 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)
(pow ux 2)
(*.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)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)

rewrite44.0ms (0.7%)

Memory
25.4MiB live, 62.2MiB allocated
Rules
346×lower-fma.f64
344×lower-fma.f32
312×lower-*.f64
310×lower-*.f32
240×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
01530
17130
055327
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
4 → 41
Calls
Call 1
Inputs
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) ux)
(*.f32 ux ux)
Outputs
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (neg.f32 ux)))
(+.f32 (/.f32 (*.f32 ux ux) (neg.f32 ux)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 ux ux) ux) #s(literal 1 binary32))
(fma.f32 ux (/.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (*.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (neg.f32 ux)) #s(literal 1 binary32))
(fma.f32 (/.f32 (*.f32 ux ux) (neg.f32 ux)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (/.f32 ux (neg.f32 ux)) ux #s(literal 1 binary32))
(fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) (fma.f32 ux (/.f32 ux (neg.f32 ux)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (/.f32 ux (neg.f32 ux)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (neg.f32 ux)))) (fma.f32 (/.f32 (*.f32 ux ux) (neg.f32 ux)) (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (/.f32 ux (neg.f32 ux)) #s(literal -1 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) #s(literal -1 binary32))))
(/.f32 (fma.f32 (/.f32 (*.f32 ux ux) (neg.f32 ux)) (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) #s(literal 1 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (neg.f32 ux)))))
(/.f32 (fma.f32 (/.f32 (*.f32 ux ux) (neg.f32 ux)) (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) (/.f32 (*.f32 ux ux) (neg.f32 ux)))))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) #s(literal -1 binary32)) (fma.f32 ux (/.f32 ux (neg.f32 ux)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 ux ux) (neg.f32 ux)) (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) #s(literal 1 binary32))) (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (neg.f32 ux))))))
(/.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) #s(literal -1 binary32))) (neg.f32 (fma.f32 ux (/.f32 ux (neg.f32 ux)) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (neg.f32 ux))))
(*.f32 (fma.f32 (/.f32 (*.f32 ux ux) (neg.f32 ux)) (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (neg.f32 ux))))))
(*.f32 (+.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (neg.f32 ux) ux)) (*.f32 ux ux)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (/.f32 ux (neg.f32 ux)) #s(literal -1 binary32))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux (/.f32 ux (neg.f32 ux)) #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) ux))
(pow.f32 (neg.f32 ux) #s(literal -1 binary32))
(pow.f32 (*.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) ux)
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 ux)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 ux #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 ux))
(/.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))
(*.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 ux) #s(literal 2 binary32)))
(pow.f32 ux #s(literal 2 binary32))
(*.f32 ux ux)
(*.f32 (pow.f32 ux #s(literal 1 binary32)) (pow.f32 ux #s(literal 1 binary32)))

eval11.0ms (0.2%)

Memory
-22.1MiB live, 14.6MiB allocated
Compiler

Compiled 1 145 to 100 computations (91.3% saved)

prune12.0ms (0.2%)

Memory
28.6MiB live, 28.6MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1001101
Fresh000
Picked011
Done055
Total1007107
Accuracy
100.0%
Counts
107 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓98.3%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)))
✓99.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
✓97.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
✓98.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
98.4%
#s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 (/.f32 (*.f32 ux ux) (neg.f32 ux)) #s(literal 1 binary32)))
✓71.8%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 204 to 90 computations (55.9% saved)

regimes21.0ms (0.4%)

Memory
-10.2MiB live, 36.3MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 (/.f32 (*.f32 ux ux) (neg.f32 ux)) #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))))
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Calls

4 calls:

6.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
uy
4.0ms
ux
4.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes28.0ms (0.5%)

Memory
-24.5MiB live, 14.5MiB 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))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
Calls

4 calls:

22.0ms
maxCos
2.0ms
uy
2.0ms
ux
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux 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 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
2.0ms
ux
2.0ms
maxCos
Results
AccuracySegmentsBranch
98.4%1ux
98.4%1uy
98.4%1maxCos
98.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes57.0ms (1%)

Memory
-27.2MiB live, 12.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

53.0ms
maxCos
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
71.8%1ux
71.8%1uy
71.8%1maxCos
71.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Algorithm
1×egg-herbie
Rules
6×+-commutative_binary32
4×sub-neg_binary32
2×*-commutative_binary32
2×neg-sub0_binary32
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01440
12040
22340
32540
42640
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.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))
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.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))

soundness924.0ms (15.4%)

Memory
-32.2MiB live, 267.6MiB 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
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
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 48 to 28 computations (41.7% saved)

preprocess21.0ms (0.4%)

Memory
13.4MiB live, 51.7MiB allocated
Remove

(abs uy)

Compiler

Compiled 82 to 46 computations (43.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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