UniformSampleCone, z

Time bar (total: 8.8s)

analyze82.0ms (0.9%)

Memory
-7.5MiB live, 110.2MiB allocated
Algorithm
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)

sample985.0ms (11.2%)

Memory
90.6MiB live, 1 374.1MiB allocated
Samples
678.0ms8 174×0valid
8.0ms82×1valid
Precisions
Click to see histograms. Total time spent on operations: 440.0ms
const: 129.0ms (29.3% of total)
ival-<=: 120.0ms (27.3% of total)
ival-sub: 51.0ms (11.6% of total)
ival-mult: 50.0ms (11.4% of total)
ival-add: 48.0ms (10.9% of total)
ival-and: 29.0ms (6.6% of total)
exact: 7.0ms (1.6% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess71.0ms (0.8%)

Memory
5.9MiB live, 60.4MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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)

explain60.0ms (0.7%)

Memory
-15.1MiB live, 97.5MiB 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
22.0ms504×0valid
1.0ms1valid
Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (47.5% of total)
ival-add: 3.0ms (28.5% of total)
ival-sub: 2.0ms (19% 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)

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)

simplify25.0ms (0.3%)

Memory
-8.8MiB live, 30.6MiB allocated
Algorithm
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
iter limit
saturated
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

localize17.0ms (0.2%)

Memory
27.0MiB live, 27.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
accuracy100.0%
(*.f32 ux maxCos)
accuracy99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms252×0valid
0.0ms1valid
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% of total)
ival-add: 1.0ms (22.5% of total)
ival-sub: 1.0ms (22.5% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt (*.f32 ux maxCos)>
Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
Calls

15 calls:

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

rewrite273.0ms (3.1%)

Memory
24.1MiB live, 400.5MiB allocated
Algorithm
batch-egg-rewrite
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
iter limit
node limit
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 ux ux (*.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos ux))) (fma.f32 ux (neg.f32 maxCos) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (*.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos 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))
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(/.f32 (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.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 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))) (+.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)))) (fma.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 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.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 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)

simplify487.0ms (5.6%)

Memory
-5.2MiB live, 273.1MiB allocated
Algorithm
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
iter limit
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)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #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)

eval43.0ms (0.5%)

Memory
-6.3MiB live, 67.6MiB allocated
Compiler

Compiled 8 109 to 762 computations (90.6% saved)

prune64.0ms (0.7%)

Memory
-14.1MiB live, 107.7MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3647371
Fresh000
Picked011
Done000
Total3648372
Accuracy
100.0%
Counts
372 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
98.7%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))
98.0%
(-.f32 #s(literal 1 binary32) ux)
98.4%
(+.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))
98.7%
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.7%
(+.f32 (*.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))
73.2%
#s(literal 1 binary32)
Compiler

Compiled 282 to 147 computations (47.9% saved)

simplify520.0ms (5.9%)

Memory
22.4MiB live, 710.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
cost-diff64
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
cost-diff96
(-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
cost-diff960
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))
cost-diff64
(neg.f32 (+.f32 #s(literal 1 binary32) ux))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
cost-diff64
(+.f32 (*.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))
cost-diff704
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff64
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
cost-diff64
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
cost-diff64
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
cost-diff544
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
Rules
23 576×lower-fma.f64
23 576×lower-fma.f32
2 926×lower-*.f64
2 920×lower-*.f32
1 964×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022158
040158
177147
2162147
3456111
41253111
54038111
08215106
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
(*.f32 ux maxCos)
maxCos
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(+.f32 (*.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))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))))
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
#s(literal -1 binary32)
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(neg.f32 (+.f32 #s(literal 1 binary32) ux))
(+.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
ux
(-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux ux)
(*.f32 ux maxCos)
maxCos
Outputs
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 ux ux #s(literal -1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(neg.f32 ux)
(*.f32 ux maxCos)
maxCos
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(+.f32 (*.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 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
(fma.f32 ux ux #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))
#s(literal 1 binary32)
(neg.f32 (+.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal -1 binary32) ux)
(+.f32 #s(literal 1 binary32) ux)
(+.f32 ux #s(literal 1 binary32))
(*.f32 ux maxCos)
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
(+.f32 ux #s(literal 1 binary32))
ux
(-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(+.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)))
(*.f32 ux ux)
(*.f32 ux maxCos)
maxCos

localize74.0ms (0.8%)

Memory
0.8MiB live, 157.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))
accuracy99.7%
(-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
accuracy98.9%
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
accuracy98.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
accuracy100.0%
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
accuracy100.0%
(+.f32 (*.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))
accuracy99.8%
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))))
accuracy98.8%
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
accuracy100.0%
(neg.f32 ux)
accuracy100.0%
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
accuracy100.0%
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
accuracy98.8%
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
Samples
35.0ms246×0valid
6.0ms10×5exit
Compiler

Compiled 160 to 25 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 7.0ms (25.8% of total)
ival-mult: 5.0ms (18.4% of total)
ival-sub: 5.0ms (18.4% of total)
ival-add: 5.0ms (18.4% of total)
adjust: 2.0ms (7.4% of total)
ival-neg: 2.0ms (7.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-37.2MiB live, 20.9MiB allocated
Counts
15 → 228
Calls
Call 1
Inputs
#<alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))>
#<alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))>
#<alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32))>
#<alt (-.f32 (neg.f32 ux) #s(literal 1 binary32))>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))))>
#<alt (+.f32 (*.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))>
#<alt (+.f32 #s(literal -1 binary32) (*.f32 ux ux))>
#<alt (neg.f32 (+.f32 #s(literal 1 binary32) ux))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))>
#<alt (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))>
#<alt (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))>
#<alt (neg.f32 ux)>
#<alt (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt -1>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt -1>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt -1>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt -1>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos ux))>
#<alt (* ux (- ux maxCos))>
#<alt (* ux (- (* ux (+ 1 (* -1 ux))) maxCos))>
#<alt (* ux (- (* ux (+ 1 (* ux (- ux 1)))) maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 (+ maxCos (/ 1 ux))))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (/ 1 ux))))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (+ (/ 1 ux) (/ 1 (pow ux 3))))))>
#<alt (* ux (+ 1 (* -1 maxCos)))>
#<alt (* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))>
#<alt (* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) (+ 1 (* -1 maxCos)))))>
#<alt (* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) (+ 1 (* -1 maxCos)))))>
#<alt (/ (pow ux 2) (+ 1 ux))>
#<alt (+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* maxCos (- (/ (pow ux 2) (* maxCos (+ 1 ux))) ux))>
#<alt (* maxCos (- (/ (pow ux 2) (* maxCos (+ 1 ux))) ux))>
#<alt (* maxCos (- (/ (pow ux 2) (* maxCos (+ 1 ux))) ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos (- (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (* -1 ux))))>
#<alt (* -1 (* maxCos (- (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (* -1 ux))))>
#<alt (* -1 (* maxCos (- (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (* -1 ux))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* -1 ux)))>
#<alt (* (pow ux 2) (+ 1 (* ux (- ux 1))))>
#<alt (* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))>
#<alt ux>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))>
#<alt ux>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt -1>
#<alt (- ux 1)>
#<alt (- (* ux (+ 1 (* -1 ux))) 1)>
#<alt (- (* ux (+ 1 (* ux (- ux 1)))) 1)>
#<alt (/ -1 ux)>
#<alt (/ (- (/ 1 ux) 1) ux)>
#<alt (/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)>
#<alt (/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (- 1 (/ 1 ux)) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))>
Calls

57 calls:

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

rewrite471.0ms (5.4%)

Memory
32.2MiB live, 654.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 280×lower-fma.f64
4 280×lower-fma.f32
3 498×lower-/.f64
3 492×lower-/.f32
2 966×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022121
040132
119474
2201074
01054467
Stop Event
iter limit
node limit
iter limit
Counts
15 → 2 621
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(-.f32 (neg.f32 ux) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.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))
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
(neg.f32 (+.f32 #s(literal 1 binary32) ux))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))
(-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(neg.f32 ux)
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
Outputs
(neg.f32 (+.f32 ux #s(literal 1 binary32)))
(exp.f32 (log1p.f32 ux))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 ux)) #s(literal -1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(+.f32 ux #s(literal -1 binary32))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 ux)))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 (neg.f32 ux) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (neg.f32 ux))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(+.f32 #s(literal 0 binary32) (+.f32 ux #s(literal 1 binary32)))
(+.f32 (neg.f32 (neg.f32 ux)) #s(literal 1 binary32))
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #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 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal -1 binary32))
(fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.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) (neg.f32 ux) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #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 #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) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (*.f32 ux (neg.f32 ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.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 ux (+.f32 ux #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.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 ux (+.f32 ux #s(literal 1 binary32)))) #s(literal -1 binary32)) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal -1 binary32))) (fma.f32 (*.f32 ux ux) (-.f32 (*.f32 ux ux) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal -1 binary32))) (fma.f32 (*.f32 ux ux) (-.f32 (*.f32 ux ux) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))) (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))) (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.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 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.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 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.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 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.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 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32)))))
(-.f32 ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) (/.f32 ux #s(literal -1 binary32)))
(-.f32 (neg.f32 ux) #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) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)) (fma.f32 ux ux #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux (neg.f32 ux))) (fma.f32 ux ux #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (+.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 0 binary32) (-.f32 ux #s(literal -1 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)))
(-.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32)))))
(-.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32))))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32)))
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(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32))))
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(-.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux maxCos))
(-.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) maxCos))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
(-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
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(expm1.f32 (*.f32 (log.f32 ux) #s(literal 1 binary32)))
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(+.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux maxCos))
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(fma.f32 ux maxCos (+.f32 ux #s(literal 1 binary32)))
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(fma.f32 maxCos ux (+.f32 ux #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)) (*.f32 ux maxCos))
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(-.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux maxCos))
(-.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) maxCos))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
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(-.f32 (*.f32 ux (+.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
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(*.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32))
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(*.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)))
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(neg.f32 ux)
(+.f32 #s(literal 0 binary32) (neg.f32 ux))
(-.f32 #s(literal 0 binary32) ux)
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 0 binary32) ux)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
(/.f32 (*.f32 ux ux) (neg.f32 (+.f32 #s(literal 0 binary32) ux)))
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(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
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(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(*.f32 (neg.f32 ux) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) ux)
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(exp.f32 (neg.f32 (log1p.f32 ux)))
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 ux (fma.f32 ux ux #s(literal -1 binary32))))
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(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.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 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.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 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.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 0 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux ux #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32))))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))
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(/.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (neg.f32 ux) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))
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(*.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 (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))

simplify355.0ms (4.1%)

Memory
-5.8MiB live, 496.8MiB allocated
Algorithm
egg-herbie
Rules
9 440×lower-fma.f64
9 440×lower-fma.f32
3 346×lower-*.f64
3 346×lower-*.f32
1 868×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451573
14481451
212701377
345841311
083781225
Stop Event
iter limit
node limit
Counts
228 → 226
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 (/ (- (pow ux 2) 1) (+ 1 ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
-1
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
1
(+ 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 (* -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 (/ (- (pow ux 2) 1) (+ 1 ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
-1
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
1
(+ 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 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos ux))
(* ux (- ux maxCos))
(* ux (- (* ux (+ 1 (* -1 ux))) maxCos))
(* ux (- (* ux (+ 1 (* ux (- ux 1)))) maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (/ 1 ux))))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (+ (/ 1 ux) (/ 1 (pow ux 3))))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) (+ 1 (* -1 maxCos)))))
(/ (pow ux 2) (+ 1 ux))
(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
(* -1 (* maxCos ux))
(* maxCos (- (/ (pow ux 2) (* maxCos (+ 1 ux))) ux))
(* maxCos (- (/ (pow ux 2) (* maxCos (+ 1 ux))) ux))
(* maxCos (- (/ (pow ux 2) (* maxCos (+ 1 ux))) ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (* -1 ux))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
ux
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
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))
(* -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
(- ux 1)
(- (* ux (+ 1 (* -1 ux))) 1)
(- (* ux (+ 1 (* ux (- ux 1)))) 1)
(/ -1 ux)
(/ (- (/ 1 ux) 1) ux)
(/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)
(/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)
(/ -1 ux)
(* -1 (/ (- 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))
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 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) (+ 1 ux)))
(*.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
-1
#s(literal -1 binary32)
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
1
#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 (* -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 (/ (- (pow ux 2) 1) (+ 1 ux)))
(*.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
-1
#s(literal -1 binary32)
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
1
#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 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(*.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* ux (- ux maxCos))
(*.f32 ux (-.f32 ux maxCos))
(* ux (- (* ux (+ 1 (* -1 ux))) maxCos))
(*.f32 ux (-.f32 ux (fma.f32 ux ux maxCos)))
(* ux (- (* ux (+ 1 (* ux (- ux 1)))) maxCos))
(*.f32 ux (fma.f32 ux (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)))
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- 1 (+ maxCos (/ 1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (/ 1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (+ (/ 1 ux) (/ 1 (pow ux 3))))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)))
(* ux (+ 1 (* -1 maxCos)))
(fma.f32 ux (neg.f32 maxCos) ux)
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) (+ 1 (* -1 maxCos)))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) (+ 1 (* -1 maxCos)))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)))
(/ (pow ux 2) (+ 1 ux))
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (- (/ (pow ux 2) (* maxCos (+ 1 ux))) ux))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(* maxCos (- (/ (pow ux 2) (* maxCos (+ 1 ux))) ux))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(* maxCos (- (/ (pow ux 2) (* maxCos (+ 1 ux))) ux))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* -1 (* maxCos (- (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (* -1 ux))))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(* -1 (* maxCos (- (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (* -1 ux))))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(* -1 (* maxCos (- (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (* -1 ux))))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* -1 ux)))
(*.f32 ux (fma.f32 ux (neg.f32 ux) ux))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(*.f32 ux (fma.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) ux) ux))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(*.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
ux
(* ux (- 1 (/ 1 ux)))
(+.f32 #s(literal -1 binary32) ux)
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(+.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(+.f32 ux (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(+.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(+.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
(+.f32 ux (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) 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 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (+.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 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) 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 ux)
(neg.f32 ux)
-1
#s(literal -1 binary32)
(- ux 1)
(+.f32 #s(literal -1 binary32) ux)
(- (* ux (+ 1 (* -1 ux))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(- (* ux (+ 1 (* ux (- ux 1)))) 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 ux) 1) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)
(neg.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (- 1 (/ 1 ux)) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))
(neg.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux))

eval281.0ms (3.2%)

Memory
31.2MiB live, 611.1MiB allocated
Compiler

Compiled 85 706 to 4 396 computations (94.9% saved)

prune478.0ms (5.5%)

Memory
-48.9MiB live, 631.9MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2 84072 847
Fresh112
Picked325
Done011
Total2 844112 855
Accuracy
100.0%
Counts
2 855 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f32 (-.f32 (*.f32 ux (neg.f32 ux)) #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32)))
98.7%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
96.9%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))
86.6%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) maxCos))
90.8%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))
98.0%
(-.f32 #s(literal 1 binary32) ux)
98.4%
(+.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))
98.7%
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.7%
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
73.2%
#s(literal 1 binary32)
Compiler

Compiled 312 to 186 computations (40.4% saved)

simplify297.0ms (3.4%)

Memory
17.4MiB live, 530.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))
cost-diff128
(-.f32 (*.f32 ux ux) (neg.f32 ux))
cost-diff544
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))
cost-diff0
(*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))
cost-diff0
(+.f32 ux #s(literal 1 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
cost-diff960
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
cost-diff0
(*.f32 ux (-.f32 ux maxCos))
cost-diff0
(+.f32 #s(literal 1 binary32) ux)
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
cost-diff64
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))
cost-diff0
(*.f32 (neg.f32 ux) maxCos)
cost-diff0
(+.f32 #s(literal 1 binary32) ux)
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
cost-diff128
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) maxCos))
cost-diff0
(*.f32 ux ux)
cost-diff64
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
cost-diff64
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
cost-diff544
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))
Rules
11 630×lower-fma.f64
11 630×lower-fma.f32
2 428×lower-*.f64
2 416×lower-*.f32
1 916×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030219
056210
1106204
2205204
3621204
41527186
52889181
64684180
76244180
87206180
97848180
08040170
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
(*.f32 ux maxCos)
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) maxCos))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
ux
(*.f32 (neg.f32 ux) maxCos)
(neg.f32 ux)
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux (-.f32 ux maxCos))
(-.f32 ux maxCos)
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
ux
(*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))
(-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)
(/.f32 ux (+.f32 ux #s(literal 1 binary32)))
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))
(-.f32 (*.f32 ux ux) (neg.f32 ux))
(*.f32 ux ux)
ux
(neg.f32 ux)
(/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))
(*.f32 ux (*.f32 ux ux))
Outputs
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 ux ux #s(literal -1 binary32))
(*.f32 ux ux)
ux
#s(literal 1 binary32)
(-.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
(*.f32 ux maxCos)
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) maxCos))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.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)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
(+.f32 ux #s(literal 1 binary32))
ux
(*.f32 (neg.f32 ux) maxCos)
(*.f32 maxCos (neg.f32 ux))
(neg.f32 ux)
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.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)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
(+.f32 ux #s(literal 1 binary32))
ux
(*.f32 ux (-.f32 ux maxCos))
(-.f32 ux maxCos)
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
ux
(*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))
(-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)
(/.f32 ux (+.f32 ux #s(literal 1 binary32)))
maxCos
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(-.f32 (*.f32 ux ux) (neg.f32 ux))
(fma.f32 ux ux ux)
(*.f32 ux ux)
ux
(neg.f32 ux)
(/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))
(/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 ux (*.f32 ux ux))

localize105.0ms (1.2%)

Memory
-2.5MiB live, 284.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))
accuracy99.2%
(*.f32 ux (*.f32 ux ux))
accuracy99.0%
(/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))
accuracy98.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))
accuracy99.7%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
accuracy99.3%
(*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))
accuracy99.2%
(/.f32 ux (+.f32 ux #s(literal 1 binary32)))
accuracy98.8%
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
accuracy100.0%
(+.f32 #s(literal 1 binary32) ux)
accuracy99.8%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))
accuracy99.7%
(*.f32 ux (-.f32 ux maxCos))
accuracy98.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
accuracy100.0%
(*.f32 (neg.f32 ux) maxCos)
accuracy100.0%
(neg.f32 ux)
accuracy99.9%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) maxCos))
accuracy98.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
accuracy100.0%
(*.f32 ux maxCos)
accuracy100.0%
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
accuracy100.0%
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
accuracy98.8%
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))
Samples
52.0ms246×0valid
11.0ms10×5exit
Compiler

Compiled 221 to 33 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 16.0ms (34.1% of total)
ival-mult: 11.0ms (23.4% of total)
ival-sub: 10.0ms (21.3% of total)
adjust: 4.0ms (8.5% of total)
ival-add: 4.0ms (8.5% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
2.6MiB live, 41.6MiB allocated
Counts
23 → 372
Calls
Call 1
Inputs
#<alt (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))>
#<alt (+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))>
#<alt (-.f32 (*.f32 ux ux) #s(literal 1 binary32))>
#<alt (*.f32 ux ux)>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) maxCos))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))>
#<alt (+.f32 #s(literal 1 binary32) ux)>
#<alt (*.f32 (neg.f32 ux) maxCos)>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))>
#<alt (*.f32 ux (-.f32 ux maxCos))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))>
#<alt (+.f32 ux #s(literal 1 binary32))>
#<alt (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))>
#<alt (-.f32 (*.f32 ux ux) (neg.f32 ux))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))>
#<alt (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))>
#<alt (*.f32 ux maxCos)>
#<alt (neg.f32 ux)>
#<alt (/.f32 ux (+.f32 ux #s(literal 1 binary32)))>
#<alt (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))>
#<alt (*.f32 ux (*.f32 ux ux))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt -1>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt 1>
#<alt (+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* ux (- ux (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) (+ 1 (* -1 maxCos)))))>
#<alt (* maxCos ux)>
#<alt (* ux (- (/ 1 (pow ux 2)) (* -1 maxCos)))>
#<alt (* ux (- (/ 1 (pow ux 2)) (+ (* -1 maxCos) (/ 1 (pow ux 3)))))>
#<alt (* ux (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4))) (+ (* -1 maxCos) (/ 1 (pow ux 3)))))>
#<alt (* maxCos ux)>
#<alt (* ux (+ maxCos (/ 1 (pow ux 2))))>
#<alt (* -1 (* ux (- (/ 1 (pow ux 3)) (+ maxCos (/ 1 (pow ux 2))))))>
#<alt (* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) (pow ux 3))) (+ maxCos (/ 1 (pow ux 2))))))>
#<alt (/ 1 (+ 1 ux))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (* -1 ux)))>
#<alt (* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (* -1 ux)))>
#<alt (* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (* -1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos ux))>
#<alt 1>
#<alt (+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* ux (- (* -1 (pow ux 2)) (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* ux (- (* (pow ux 2) (- ux 1)) (+ 1 (* -1 maxCos)))))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ maxCos ux) 1))>
#<alt (* (pow ux 2) (- (+ (/ 1 (pow ux 3)) (/ maxCos ux)) 1))>
#<alt (* (pow ux 2) (- (+ (/ 1 (pow ux 3)) (/ maxCos ux)) (+ 1 (/ 1 (pow ux 4)))))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ maxCos ux) 1))>
#<alt (* (pow ux 2) (- (+ (/ 1 (pow ux 3)) (/ maxCos ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (- (/ 1 (pow ux 3)) (+ maxCos (/ 1 (pow ux 2)))) ux)) 1))>
#<alt (- (/ 1 (+ 1 ux)) (pow ux 2))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (pow ux 2))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (pow ux 2))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (pow ux 2))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) maxCos))))>
#<alt (* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) maxCos))))>
#<alt (* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (pow ux 2)) maxCos)) ux)))>
#<alt (* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (pow ux 2)) maxCos)) ux)))>
#<alt (* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (pow ux 2)) maxCos)) ux)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* ux (+ ux (* -1 maxCos)))>
#<alt (* ux (+ ux (* -1 maxCos)))>
#<alt (* ux (+ ux (* -1 maxCos)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))>
#<alt (pow ux 2)>
#<alt (+ (* -1 (* maxCos ux)) (pow ux 2))>
#<alt (+ (* -1 (* maxCos ux)) (pow ux 2))>
#<alt (+ (* -1 (* maxCos ux)) (pow ux 2))>
#<alt (* -1 (* maxCos ux))>
#<alt (* maxCos (+ (* -1 ux) (/ (pow ux 2) maxCos)))>
#<alt (* maxCos (+ (* -1 ux) (/ (pow ux 2) maxCos)))>
#<alt (* maxCos (+ (* -1 ux) (/ (pow ux 2) maxCos)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) maxCos)))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) maxCos)))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (- 1 maxCos)))>
#<alt (* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))>
#<alt (* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))>
#<alt (* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))>
#<alt (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)) ux)))>
#<alt (* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)) ux)))>
#<alt (* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)) ux)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* ux (+ ux (* -1 maxCos)))>
#<alt (* ux (+ (* -1 maxCos) (* ux (+ 1 (* -1 ux)))))>
#<alt (* ux (+ (* -1 maxCos) (* ux (+ 1 (* ux (- ux 1))))))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 (+ maxCos (/ 1 ux))))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (/ 1 ux))))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (+ (/ 1 ux) (/ 1 (pow ux 3))))))>
#<alt (* -1 (* ux (- maxCos 1)))>
#<alt (* -1 (* ux (- (+ maxCos (/ 1 ux)) 1)))>
#<alt (* -1 (* ux (- (+ maxCos (* -1 (/ (- (/ 1 ux) 1) ux))) 1)))>
#<alt (* -1 (* ux (- (+ maxCos (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))) 1)))>
#<alt (/ (pow ux 2) (+ 1 ux))>
#<alt (+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* maxCos (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt ux>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- (pow ux 2) 1)))>
#<alt (+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ (- 1 (/ 1 ux)) (pow ux 2))>
#<alt (/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)) (pow ux 2))>
#<alt (/ (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))) (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ (- 1 (/ 1 ux)) (pow ux 2))>
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow ux 2))) ux))) (pow ux 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 (pow ux 2))) ux))) (pow ux 2))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (* -1 ux)))>
#<alt (* ux (+ 1 (* ux (- ux 1))))>
#<alt (* ux (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 ux))>
#<alt (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux))>
#<alt (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3))))>
#<alt 1>
#<alt (- 1 (/ 1 ux))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux)))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (* -1 ux)))>
#<alt (* (pow ux 3) (+ 1 (* ux (- (pow ux 2) 1))))>
#<alt (* (pow ux 3) (+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1))))>
#<alt ux>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))))>
#<alt ux>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) (+ 1 (/ 1 (pow ux 3)))) ux)) 1)))>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
Calls

93 calls:

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

rewrite372.0ms (4.2%)

Memory
17.2MiB live, 523.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 918×lower-fma.f64
4 918×lower-fma.f32
4 680×lower-*.f64
4 668×lower-*.f32
3 184×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030178
056169
1286140
22582135
09290122
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 222
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(-.f32 (*.f32 ux ux) #s(literal 1 binary32))
(*.f32 ux ux)
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) maxCos))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(+.f32 #s(literal 1 binary32) ux)
(*.f32 (neg.f32 ux) maxCos)
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))
(*.f32 ux (-.f32 ux maxCos))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))
(-.f32 (*.f32 ux ux) (neg.f32 ux))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))
(*.f32 ux maxCos)
(neg.f32 ux)
(/.f32 ux (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux))))
(*.f32 ux (*.f32 ux ux))
Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(exp.f32 (log1p.f32 ux))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 ux)) #s(literal -1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #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))) (/.f32 (*.f32 ux (*.f32 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(+.f32 (*.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux (*.f32 ux ux))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (*.f32 (+.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (+.f32 ux #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 ux (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 ux (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(fma.f32 (*.f32 ux ux) (*.f32 ux (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (*.f32 ux ux) (/.f32 ux (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 #s(literal 1 binary32) 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))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 #s(literal -1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.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))))
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32) (/.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) (fma.f32 ux ux ux))) (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (pow.f32 (/.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))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) ux (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal -1/2 binary32)) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (/.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))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (/.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))) (pow.f32 (/.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))) #s(literal -1 binary32)) (/.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) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux 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))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal -1 binary32)) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (/.f32 (*.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))) (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) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (-.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(fma.f32 (/.f32 (*.f32 ux ux) (+.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 #s(literal -1 binary32))))
(fma.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #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 #s(literal 0 binary32) (+.f32 ux #s(literal -1 binary32)))
(-.f32 (*.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux 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) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (+.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))) (/.f32 (/.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (+.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux 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) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (+.f32 ux #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux (*.f32 ux ux))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (*.f32 (+.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(/.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32))
(/.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
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(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)) (neg.f32 (*.f32 ux (-.f32 ux maxCos))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal -1 binary32)) (neg.f32 (*.f32 ux (-.f32 ux maxCos))))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (neg.f32 (*.f32 ux (-.f32 ux maxCos))))
(fma.f32 (neg.f32 (-.f32 ux maxCos)) ux (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(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 ux ux)) (neg.f32 (*.f32 ux (-.f32 ux maxCos))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (-.f32 ux maxCos))))
(fma.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (-.f32 ux maxCos))))
(fma.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32))) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (-.f32 ux maxCos))))
(-.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (*.f32 ux (-.f32 ux maxCos)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))) (fma.f32 (*.f32 ux (-.f32 ux maxCos)) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 ux (-.f32 ux maxCos)) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos))))) (fma.f32 (*.f32 ux (-.f32 ux maxCos)) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))))
(-.f32 (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))) (/.f32 (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos)))) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 ux (-.f32 ux maxCos)) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))) (*.f32 (*.f32 ux (-.f32 ux maxCos)) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos)))))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))) (*.f32 (*.f32 ux (-.f32 ux maxCos)) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos)))))) (fma.f32 (*.f32 ux (-.f32 ux maxCos)) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))) (*.f32 (*.f32 ux (-.f32 ux maxCos)) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos)))))) (+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos)))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (*.f32 ux (-.f32 ux maxCos)))))))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos))))) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos))))) (-.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (*.f32 ux (-.f32 ux maxCos)))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))) (*.f32 (*.f32 ux (-.f32 ux maxCos)) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos))))))) (neg.f32 (fma.f32 (*.f32 ux (-.f32 ux maxCos)) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))))
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(/.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)) (-.f32 ux maxCos))))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux))))
(/.f32 (fma.f32 #s(literal 1 binary32) (+.f32 ux maxCos) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (neg.f32 ux) (*.f32 (+.f32 ux maxCos) (-.f32 ux maxCos))))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux maxCos)))
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)) (-.f32 ux maxCos))))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux))))
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(/.f32 (fma.f32 (*.f32 (neg.f32 ux) (*.f32 (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)) (-.f32 ux maxCos))) (+.f32 ux #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)) #s(literal 1 binary32))) (*.f32 (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
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(/.f32 (fma.f32 (*.f32 (neg.f32 ux) (*.f32 (+.f32 ux maxCos) (-.f32 ux maxCos))) (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux maxCos) #s(literal 1 binary32))) (*.f32 (+.f32 ux maxCos) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (neg.f32 ux) (*.f32 (+.f32 ux maxCos) (-.f32 ux maxCos))) (+.f32 ux #s(literal -1 binary32)) (*.f32 (+.f32 ux maxCos) #s(literal -1 binary32))) (*.f32 (+.f32 ux maxCos) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))) (*.f32 (*.f32 ux (-.f32 ux maxCos)) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (-.f32 ux maxCos)) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))))
(*.f32 (-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 ux (*.f32 (-.f32 ux maxCos) (*.f32 ux (-.f32 ux maxCos))))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 ux maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))))
(+.f32 (*.f32 ux ux) (*.f32 ux (neg.f32 maxCos)))
(fma.f32 ux ux (*.f32 ux (neg.f32 maxCos)))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) (*.f32 ux (neg.f32 maxCos)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) (*.f32 ux (neg.f32 maxCos)))
(fma.f32 #s(literal -1 binary32) (*.f32 ux (neg.f32 ux)) (*.f32 ux (neg.f32 maxCos)))
(fma.f32 (neg.f32 ux) (neg.f32 ux) (*.f32 ux (neg.f32 maxCos)))
(fma.f32 (*.f32 (neg.f32 ux) #s(literal -1 binary32)) ux (*.f32 ux (neg.f32 maxCos)))
(fma.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)) (*.f32 ux (neg.f32 maxCos)))
(/.f32 (*.f32 ux (*.f32 (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)) (-.f32 ux maxCos))) (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)))
(/.f32 (*.f32 ux (*.f32 (+.f32 ux maxCos) (-.f32 ux maxCos))) (+.f32 ux maxCos))
(/.f32 (*.f32 (*.f32 (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)) (-.f32 ux maxCos)) ux) (fma.f32 maxCos (+.f32 ux maxCos) (*.f32 ux ux)))
(/.f32 (*.f32 (*.f32 (+.f32 ux maxCos) (-.f32 ux maxCos)) ux) (+.f32 ux maxCos))
(*.f32 ux (-.f32 ux maxCos))
(*.f32 (-.f32 ux maxCos) ux)
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
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(pow.f32 (/.f32 (fma.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)) (fma.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))) (*.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)) (*.f32 ux (*.f32 (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 ux (*.f32 (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))))) #s(literal -1 binary32))
(fma.f32 ux (neg.f32 (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 #s(literal -1 binary32) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (pow.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32))) #s(literal -1 binary32)) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (neg.f32 ux) (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(fma.f32 (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos) (neg.f32 ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal -1 binary32)) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (neg.f32 (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)) ux (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(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 ux ux)) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(fma.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32))) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))
(-.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))) (fma.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)) (fma.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)) (*.f32 ux (*.f32 (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos))))) (fma.f32 (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)) (fma.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))))
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(neg.f32 (*.f32 ux (neg.f32 maxCos)))
(-.f32 #s(literal 0 binary32) (*.f32 ux (neg.f32 maxCos)))
(*.f32 ux maxCos)
(*.f32 #s(literal -1 binary32) (*.f32 ux (neg.f32 maxCos)))
(*.f32 maxCos ux)
(*.f32 (neg.f32 ux) (neg.f32 maxCos))
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(/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux))))
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(pow.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) ux) #s(literal -1 binary32))
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(exp.f32 (+.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux))) (*.f32 (log.f32 (neg.f32 ux)) #s(literal 3 binary32))))
(exp.f32 (+.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux))) (*.f32 (log.f32 ux) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (log.f32 ux) #s(literal 3 binary32) (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))))
(exp.f32 (fma.f32 (log.f32 (neg.f32 ux)) #s(literal 3 binary32) (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
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(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
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(neg.f32 (*.f32 ux (*.f32 ux ux)))
(exp.f32 (*.f32 (log.f32 (neg.f32 ux)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 ux) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 ux)) #s(literal 3/2 binary32)))
(pow.f32 ux #s(literal 3 binary32))
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(pow.f32 (pow.f32 ux #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 ux)) #s(literal 3 binary32))
(pow.f32 (exp.f32 (log.f32 (neg.f32 ux))) #s(literal 3 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux)))
(/.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (pow.f32 (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux))) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 0 binary32) ux) #s(literal 3 binary32)))
(*.f32 ux (*.f32 ux ux))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(*.f32 ux (neg.f32 (*.f32 ux ux)))
(*.f32 (*.f32 ux ux) ux)
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(*.f32 (neg.f32 (*.f32 ux ux)) ux)
(*.f32 (*.f32 (*.f32 ux ux) #s(literal -1 binary32)) ux)
(*.f32 (pow.f32 (neg.f32 ux) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 ux) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 ux #s(literal 3/2 binary32)) (pow.f32 ux #s(literal 3/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 ux (*.f32 ux ux)))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) (pow.f32 (*.f32 ux (neg.f32 ux)) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 ux) #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 ux #s(literal 3/2 binary32)))

simplify403.0ms (4.6%)

Memory
-34.0MiB live, 753.3MiB allocated
Algorithm
egg-herbie
Rules
16 616×lower-fma.f64
16 616×lower-fma.f32
3 622×lower-*.f64
3 622×lower-*.f32
3 388×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02462445
17692299
221472176
378092168
085012051
Stop Event
iter limit
node limit
Counts
372 → 364
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 (/ (- (pow ux 2) 1) (+ 1 ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(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)
1
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(+ 1 (* ux (- ux (+ 1 (* -1 maxCos)))))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) (+ 1 (* -1 maxCos)))))
(* maxCos ux)
(* ux (- (/ 1 (pow ux 2)) (* -1 maxCos)))
(* ux (- (/ 1 (pow ux 2)) (+ (* -1 maxCos) (/ 1 (pow ux 3)))))
(* ux (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4))) (+ (* -1 maxCos) (/ 1 (pow ux 3)))))
(* maxCos ux)
(* ux (+ maxCos (/ 1 (pow ux 2))))
(* -1 (* ux (- (/ 1 (pow ux 3)) (+ maxCos (/ 1 (pow ux 2))))))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) (pow ux 3))) (+ maxCos (/ 1 (pow ux 2))))))
(/ 1 (+ 1 ux))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (* -1 ux)))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (* -1 ux)))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (* -1 ux)))
(* maxCos ux)
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(* maxCos (+ ux (/ 1 (* maxCos (+ 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))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos ux))
1
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(+ 1 (* ux (- (* -1 (pow ux 2)) (+ 1 (* -1 maxCos)))))
(+ 1 (* ux (- (* (pow ux 2) (- ux 1)) (+ 1 (* -1 maxCos)))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ maxCos ux) 1))
(* (pow ux 2) (- (+ (/ 1 (pow ux 3)) (/ maxCos ux)) 1))
(* (pow ux 2) (- (+ (/ 1 (pow ux 3)) (/ maxCos ux)) (+ 1 (/ 1 (pow ux 4)))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ maxCos ux) 1))
(* (pow ux 2) (- (+ (/ 1 (pow ux 3)) (/ maxCos ux)) 1))
(* (pow ux 2) (- (* -1 (/ (- (/ 1 (pow ux 3)) (+ maxCos (/ 1 (pow ux 2)))) ux)) 1))
(- (/ 1 (+ 1 ux)) (pow ux 2))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (pow ux 2))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (pow ux 2))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (pow ux 2))
(* maxCos ux)
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) maxCos))))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) maxCos))))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) maxCos))))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (pow ux 2)) maxCos)) ux)))
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (pow ux 2)) maxCos)) ux)))
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (pow ux 2)) maxCos)) ux)))
(* -1 (* maxCos ux))
(* ux (+ ux (* -1 maxCos)))
(* ux (+ ux (* -1 maxCos)))
(* ux (+ ux (* -1 maxCos)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(pow ux 2)
(+ (* -1 (* maxCos ux)) (pow ux 2))
(+ (* -1 (* maxCos ux)) (pow ux 2))
(+ (* -1 (* maxCos ux)) (pow ux 2))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ (pow ux 2) maxCos)))
(* maxCos (+ (* -1 ux) (/ (pow ux 2) maxCos)))
(* maxCos (+ (* -1 ux) (/ (pow ux 2) maxCos)))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) maxCos)))))
1
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (- 1 maxCos)))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux))))))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux))))))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)) ux)))
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)) ux)))
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)) 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))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* -1 (* maxCos ux))
(* ux (+ ux (* -1 maxCos)))
(* ux (+ (* -1 maxCos) (* ux (+ 1 (* -1 ux)))))
(* ux (+ (* -1 maxCos) (* ux (+ 1 (* ux (- ux 1))))))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (/ 1 ux))))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (+ (/ 1 ux) (/ 1 (pow ux 3))))))
(* -1 (* ux (- maxCos 1)))
(* -1 (* ux (- (+ maxCos (/ 1 ux)) 1)))
(* -1 (* ux (- (+ maxCos (* -1 (/ (- (/ 1 ux) 1) ux))) 1)))
(* -1 (* ux (- (+ maxCos (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))) 1)))
(/ (pow ux 2) (+ 1 ux))
(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))))))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))))))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))))))
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))))
ux
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- (pow ux 2) 1)))
(+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1)))
(/ 1 (pow ux 2))
(/ (- 1 (/ 1 ux)) (pow ux 2))
(/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)) (pow ux 2))
(/ (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))) (pow ux 2))
(/ 1 (pow ux 2))
(/ (- 1 (/ 1 ux)) (pow ux 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow ux 2))) ux))) (pow ux 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 (pow ux 2))) ux))) (pow ux 2))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* 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)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
ux
(* ux (+ 1 (* -1 ux)))
(* ux (+ 1 (* ux (- ux 1))))
(* ux (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
1
(- 1 (/ 1 ux))
(- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux))
(- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3))))
1
(- 1 (/ 1 ux))
(+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (* -1 ux)))
(* (pow ux 3) (+ 1 (* ux (- (pow ux 2) 1))))
(* (pow ux 3) (+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1))))
ux
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) (+ 1 (/ 1 (pow ux 3)))) ux)) 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)
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 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) (+ 1 ux)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
-1
#s(literal -1 binary32)
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(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)
1
#s(literal 1 binary32)
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- ux (+ 1 (* -1 maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) (+.f32 ux maxCos)) #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) (+ 1 (* -1 maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* ux (- (/ 1 (pow ux 2)) (* -1 maxCos)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux))
(* ux (- (/ 1 (pow ux 2)) (+ (* -1 maxCos) (/ 1 (pow ux 3)))))
(*.f32 ux (+.f32 maxCos (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))))
(* ux (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4))) (+ (* -1 maxCos) (/ 1 (pow ux 3)))))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* ux (+ maxCos (/ 1 (pow ux 2))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (/ 1 (pow ux 3)) (+ maxCos (/ 1 (pow ux 2))))))
(*.f32 ux (+.f32 maxCos (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) (pow ux 3))) (+ maxCos (/ 1 (pow ux 2))))))
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(/ 1 (+ 1 ux))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (* -1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (* -1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (* -1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #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) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux))))
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.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) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux))))) ux)
1
#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)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
1
#s(literal 1 binary32)
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* -1 (pow ux 2)) (+ 1 (* -1 maxCos)))))
(fma.f32 ux (-.f32 maxCos (fma.f32 ux ux #s(literal 1 binary32))) #s(literal 1 binary32))
(+ 1 (* ux (- (* (pow ux 2) (- ux 1)) (+ 1 (* -1 maxCos)))))
(fma.f32 ux (+.f32 maxCos (fma.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (/ maxCos ux) 1))
(*.f32 ux (-.f32 maxCos ux))
(* (pow ux 2) (- (+ (/ 1 (pow ux 3)) (/ maxCos ux)) 1))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) ux))
(* (pow ux 2) (- (+ (/ 1 (pow ux 3)) (/ maxCos ux)) (+ 1 (/ 1 (pow ux 4)))))
(fma.f32 ux (+.f32 maxCos (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (/ maxCos ux) 1))
(*.f32 ux (-.f32 maxCos ux))
(* (pow ux 2) (- (+ (/ 1 (pow ux 3)) (/ maxCos ux)) 1))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) ux))
(* (pow ux 2) (- (* -1 (/ (- (/ 1 (pow ux 3)) (+ maxCos (/ 1 (pow ux 2)))) ux)) 1))
(fma.f32 ux (+.f32 maxCos (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (neg.f32 ux)))
(- (/ 1 (+ 1 ux)) (pow ux 2))
(fma.f32 ux (neg.f32 ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (pow ux 2))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (pow ux 2))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (pow ux 2))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) maxCos))))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) maxCos))))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) maxCos))))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (pow ux 2)) maxCos)) ux)))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (pow ux 2)) maxCos)) ux)))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (pow ux 2)) maxCos)) ux)))
(fma.f32 ux (-.f32 maxCos ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos ux))
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(* ux (+ ux (* -1 maxCos)))
(*.f32 ux (-.f32 ux maxCos))
(* ux (+ ux (* -1 maxCos)))
(*.f32 ux (-.f32 ux maxCos))
(* ux (+ ux (* -1 maxCos)))
(*.f32 ux (-.f32 ux maxCos))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(*.f32 ux (-.f32 ux maxCos))
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
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(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(*.f32 ux (-.f32 ux maxCos))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(*.f32 ux (-.f32 ux maxCos))
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(*.f32 ux (-.f32 ux maxCos))
(* (pow ux 2) (+ 1 (* -1 (/ maxCos ux))))
(*.f32 ux (-.f32 ux maxCos))
(pow ux 2)
(*.f32 ux ux)
(+ (* -1 (* maxCos ux)) (pow ux 2))
(*.f32 ux (-.f32 ux maxCos))
(+ (* -1 (* maxCos ux)) (pow ux 2))
(*.f32 ux (-.f32 ux maxCos))
(+ (* -1 (* maxCos ux)) (pow ux 2))
(*.f32 ux (-.f32 ux maxCos))
(* -1 (* maxCos ux))
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(* maxCos (+ (* -1 ux) (/ (pow ux 2) maxCos)))
(*.f32 ux (-.f32 ux maxCos))
(* maxCos (+ (* -1 ux) (/ (pow ux 2) maxCos)))
(*.f32 ux (-.f32 ux maxCos))
(* maxCos (+ (* -1 ux) (/ (pow ux 2) maxCos)))
(*.f32 ux (-.f32 ux maxCos))
(* -1 (* maxCos ux))
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(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) maxCos)))))
(*.f32 ux (-.f32 ux maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) maxCos)))))
(*.f32 ux (-.f32 ux maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) maxCos)))))
(*.f32 ux (-.f32 ux maxCos))
1
#s(literal 1 binary32)
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(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 maxCos)))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux))))))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux))))))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (/ 1 (* maxCos (+ 1 ux))) (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux))))))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)) ux)))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)) ux)))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)) ux)))
(-.f32 (*.f32 ux maxCos) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #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) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux))))
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.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) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux))))) ux)
1
#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)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* ux (+ ux (* -1 maxCos)))
(*.f32 ux (-.f32 ux maxCos))
(* ux (+ (* -1 maxCos) (* ux (+ 1 (* -1 ux)))))
(*.f32 ux (fma.f32 ux (neg.f32 ux) (-.f32 ux maxCos)))
(* ux (+ (* -1 maxCos) (* ux (+ 1 (* ux (- ux 1))))))
(*.f32 ux (fma.f32 ux (fma.f32 ux ux (neg.f32 ux)) (-.f32 ux maxCos)))
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- 1 (+ maxCos (/ 1 ux))))
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (/ 1 ux))))
(+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ maxCos (+ (/ 1 ux) (/ 1 (pow ux 3))))))
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(* -1 (* ux (- maxCos 1)))
(fma.f32 ux (neg.f32 maxCos) ux)
(* -1 (* ux (- (+ maxCos (/ 1 ux)) 1)))
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(* -1 (* ux (- (+ maxCos (* -1 (/ (- (/ 1 ux) 1) ux))) 1)))
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(* -1 (* ux (- (+ maxCos (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))) 1)))
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(/ (pow ux 2) (+ 1 ux))
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
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(+ (* -1 (* maxCos ux)) (/ (pow ux 2) (+ 1 ux)))
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(* maxCos (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
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(* maxCos (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
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(* -1 (* maxCos ux))
(neg.f32 (*.f32 ux maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))))))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))))))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))))))
(*.f32 ux (-.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) maxCos))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 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)
ux
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- (pow ux 2) 1)))
(fma.f32 ux (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1)))
(fma.f32 ux (fma.f32 ux (fma.f32 ux (neg.f32 ux) ux) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (- 1 (/ 1 ux)) (pow ux 2))
(/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))
(/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) ux)) (*.f32 ux ux))
(/ (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))) ux)) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (- 1 (/ 1 ux)) (pow ux 2))
(/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow ux 2))) ux))) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) ux)) (*.f32 ux ux))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow ux 3))) (/ 1 (pow ux 2))) ux))) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))) ux)) (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 ux)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+ 1 (* ux (+ 1 ux)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (fma.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)
(* -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)
ux
(* ux (+ 1 (* -1 ux)))
(fma.f32 ux (neg.f32 ux) ux)
(* ux (+ 1 (* ux (- ux 1))))
(fma.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) ux) ux)
(* ux (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(fma.f32 ux (*.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) ux)
1
#s(literal 1 binary32)
(- 1 (/ 1 ux))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))
(- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux))
(- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))))
1
#s(literal 1 binary32)
(- 1 (/ 1 ux))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))
(+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux)))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (* -1 ux)))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux ux)))
(* (pow ux 3) (+ 1 (* ux (- (pow ux 2) 1))))
(*.f32 (*.f32 ux ux) (*.f32 ux (fma.f32 ux (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(* (pow ux 3) (+ 1 (* ux (- (* (pow ux 2) (+ 1 (* -1 ux))) 1))))
(*.f32 (*.f32 ux ux) (*.f32 ux (fma.f32 ux (fma.f32 ux (fma.f32 ux (neg.f32 ux) ux) #s(literal -1 binary32)) #s(literal 1 binary32))))
ux
(* ux (- 1 (/ 1 ux)))
(+.f32 #s(literal -1 binary32) ux)
(* ux (- (+ 1 (/ 1 (pow ux 3))) (/ 1 ux)))
(+.f32 #s(literal -1 binary32) (+.f32 ux (/.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(* ux (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 4)))))
(fma.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))) ux) ux)
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(+.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)) 1)))
(+.f32 #s(literal -1 binary32) (+.f32 ux (/.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(* -1 (* ux (- (* -1 (/ (- (/ 1 (pow ux 2)) (+ 1 (/ 1 (pow ux 3)))) ux)) 1)))
(fma.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))) 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))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))

eval238.0ms (2.7%)

Memory
19.6MiB live, 392.9MiB allocated
Compiler

Compiled 63 746 to 4 075 computations (93.6% saved)

prune399.0ms (4.6%)

Memory
13.7MiB live, 571.9MiB allocated
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New2 25542 259
Fresh123
Picked235
Done033
Total2 258122 270
Accuracy
100.0%
Counts
2 270 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
96.8%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))
98.7%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
90.8%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))
98.0%
(-.f32 #s(literal 1 binary32) ux)
98.4%
(+.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))
98.7%
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
86.6%
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.7%
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
73.2%
#s(literal 1 binary32)
Compiler

Compiled 278 to 170 computations (38.8% saved)

simplify514.0ms (5.9%)

Memory
46.1MiB live, 895.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff64
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
cost-diff64
(+.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))
cost-diff96
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
cost-diff992
(/.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)))
cost-diff0
(+.f32 ux #s(literal -1 binary32))
cost-diff0
(/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
cost-diff0
(+.f32 ux #s(literal 1 binary32))
cost-diff0
(*.f32 ux ux)
cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
cost-diff608
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
cost-diff0
(*.f32 ux maxCos)
cost-diff0
(-.f32 #s(literal -1 binary32) ux)
cost-diff0
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))
cost-diff64
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
cost-diff0
(*.f32 ux ux)
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
cost-diff64
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
cost-diff704
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)))
Rules
26 286×lower-fma.f64
26 286×lower-fma.f32
2 992×lower-*.f64
2 982×lower-*.f32
2 674×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025191
046181
192169
2196167
3609131
41892131
56435131
08163124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)))
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
#s(literal -1 binary32)
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))
#s(literal 1 binary32)
(-.f32 #s(literal -1 binary32) ux)
(*.f32 ux maxCos)
maxCos
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))
#s(literal -1 binary32)
(-.f32 #s(literal -1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
#s(literal 1 binary32)
(*.f32 ux ux)
ux
(+.f32 ux #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
#s(literal 1 binary32)
(/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))
#s(literal -1 binary32)
(+.f32 ux #s(literal -1 binary32))
ux
(+.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 (-.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 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(+.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux maxCos)
maxCos
Outputs
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)))
(-.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
(fma.f32 ux ux #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))
#s(literal 1 binary32)
(-.f32 #s(literal -1 binary32) ux)
(*.f32 ux maxCos)
maxCos
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 ux maxCos (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))
#s(literal -1 binary32)
(-.f32 #s(literal -1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
ux
(+.f32 ux #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) ux)
#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) ux))
#s(literal -1 binary32)
(+.f32 ux #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) ux)
ux
(+.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))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(/.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 #s(literal 1 binary32) ux)
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 ux #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(*.f32 ux (fma.f32 ux ux ux))
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(*.f32 ux maxCos)
maxCos

localize97.0ms (1.1%)

Memory
-32.2MiB live, 218.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
accuracy98.9%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
accuracy98.8%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
accuracy98.8%
(/.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)))
accuracy100.0%
(+.f32 ux #s(literal -1 binary32))
accuracy99.5%
(/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))
accuracy98.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
accuracy100.0%
(+.f32 ux #s(literal 1 binary32))
accuracy100.0%
(*.f32 ux ux)
accuracy100.0%
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy98.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
accuracy100.0%
(-.f32 #s(literal -1 binary32) ux)
accuracy100.0%
(*.f32 ux maxCos)
accuracy99.9%
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
accuracy98.8%
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))
accuracy100.0%
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
accuracy100.0%
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
accuracy99.8%
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)))
accuracy98.8%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))
Samples
49.0ms246×0valid
7.0ms10×5exit
Compiler

Compiled 193 to 28 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 16.0ms (38.3% of total)
ival-div: 11.0ms (26.4% of total)
ival-add: 8.0ms (19.2% of total)
ival-sub: 4.0ms (9.6% of total)
adjust: 3.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-6.0MiB live, 31.2MiB allocated
Counts
20 → 288
Calls
Call 1
Inputs
#<alt (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)))>
#<alt (+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))>
#<alt (+.f32 #s(literal -1 binary32) (*.f32 ux ux))>
#<alt (*.f32 ux ux)>
#<alt (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))>
#<alt (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))>
#<alt (-.f32 #s(literal -1 binary32) ux)>
#<alt (*.f32 ux maxCos)>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))>
#<alt (-.f32 #s(literal 1 binary32) (*.f32 ux ux))>
#<alt (+.f32 ux #s(literal 1 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))>
#<alt (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))>
#<alt (+.f32 ux #s(literal -1 binary32))>
#<alt (/.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)))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))>
#<alt (+.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))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))>
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (/ (- (pow ux 2) 1) (+ 1 ux)))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt -1>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- (+ maxCos ux) 1)))>
#<alt (+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* -1 ux)))) 1)))>
#<alt (* maxCos ux)>
#<alt (* ux (+ maxCos (/ 1 (pow ux 2))))>
#<alt (* ux (- (+ maxCos (/ 1 (pow ux 2))) (/ 1 (pow ux 3))))>
#<alt (* ux (- (+ maxCos (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4)))) (/ 1 (pow ux 3))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* ux (- (* -1 maxCos) (/ 1 (pow ux 2)))))>
#<alt (* -1 (* ux (- (+ (* -1 maxCos) (/ 1 (pow ux 3))) (/ 1 (pow ux 2)))))>
#<alt (* -1 (* ux (- (+ (* -1 maxCos) (* -1 (/ (- (/ 1 ux) 1) (pow ux 3)))) (/ 1 (pow ux 2)))))>
#<alt (/ 1 (+ 1 ux))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt -1>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))>
#<alt -1>
#<alt (- ux 1)>
#<alt (- ux 1)>
#<alt (- ux 1)>
#<alt ux>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt ux>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 (* -1 ux))))>
#<alt (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt -1>
#<alt (- ux 1)>
#<alt (- (* ux (+ 1 (* -1 ux))) 1)>
#<alt (- (* ux (+ 1 (* ux (- ux 1)))) 1)>
#<alt (/ -1 ux)>
#<alt (/ (- (/ 1 ux) 1) ux)>
#<alt (/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)>
#<alt (/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (- 1 (/ 1 ux)) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))>
#<alt 1>
#<alt (+ 1 (* 2 ux))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
Calls

72 calls:

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

rewrite466.0ms (5.3%)

Memory
9.9MiB live, 926.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 120×lower-fma.f64
5 120×lower-fma.f32
5 002×lower-*.f64
4 992×lower-*.f32
4 586×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025158
046134
123098
2229398
0926592
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 742
Calls
Call 1
Inputs
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)))
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
(+.f32 #s(literal -1 binary32) (*.f32 ux ux))
(*.f32 ux ux)
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal -1 binary32) ux)
(*.f32 ux maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(+.f32 ux #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))
(+.f32 ux #s(literal -1 binary32))
(/.f32 (-.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 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(+.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 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
Outputs
(neg.f32 (+.f32 #s(literal -1 binary32) ux))
(neg.f32 (/.f32 (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) ux))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))))
(exp.f32 (log1p.f32 (neg.f32 ux)))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.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))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) ux))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #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) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) ux) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) ux) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) ux) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) ux) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.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) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) ux) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.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)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.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 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.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 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.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 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.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 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.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 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)) (*.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) ux))
(-.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #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) ux) (fma.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 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) ux))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (neg.f32 (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (fma.f32 ux ux (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32)) (*.f32 (-.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 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.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) ux) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) (*.f32 ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (/.f32 (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))))
(/.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
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(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal -1 binary32) ux) (*.f32 (+.f32 #s(literal -1 binary32) ux) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (+.f32 #s(literal -1 binary32) ux)))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal -1 binary32) ux) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (neg.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (neg.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (*.f32 #s(literal -1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 #s(literal -1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (*.f32 (-.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 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal -1 binary32) ux) (*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (+.f32 #s(literal -1 binary32) ux)))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (neg.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (neg.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (neg.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal -1 binary32) ux) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal -1 binary32) ux) (neg.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal -1 binary32) ux) (-.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux (*.f32 #s(literal 1 binary32) (neg.f32 ux)))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux (*.f32 ux ux)))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32))
(*.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
(*.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(*.f32 (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) ux))))
(*.f32 (exp.f32 (log1p.f32 ux)) (exp.f32 (log1p.f32 ux)))

simplify412.0ms (4.7%)

Memory
-18.1MiB live, 751.0MiB allocated
Algorithm
egg-herbie
Rules
13 448×lower-fma.f64
13 448×lower-fma.f32
4 212×lower-*.f64
4 212×lower-*.f32
2 812×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02081904
16311799
218191730
369341729
082681620
Stop Event
iter limit
node limit
Counts
288 → 284
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 (/ (- (pow ux 2) 1) (+ 1 ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(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)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- (+ maxCos ux) 1)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* -1 ux)))) 1)))
(* maxCos ux)
(* ux (+ maxCos (/ 1 (pow ux 2))))
(* ux (- (+ maxCos (/ 1 (pow ux 2))) (/ 1 (pow ux 3))))
(* ux (- (+ maxCos (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4)))) (/ 1 (pow ux 3))))
(* maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 (pow ux 2)))))
(* -1 (* ux (- (+ (* -1 maxCos) (/ 1 (pow ux 3))) (/ 1 (pow ux 2)))))
(* -1 (* ux (- (+ (* -1 maxCos) (* -1 (/ (- (/ 1 ux) 1) (pow ux 3)))) (/ 1 (pow ux 2)))))
(/ 1 (+ 1 ux))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(* maxCos ux)
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 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))
-1
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* 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)
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 (* -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
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
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)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
-1
(- ux 1)
(- ux 1)
(- ux 1)
ux
(* ux (- 1 (/ 1 ux)))
(* ux (- 1 (/ 1 ux)))
(* ux (- 1 (/ 1 ux)))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (/ 1 ux) 1)))
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)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
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 (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
-1
(- ux 1)
(- (* ux (+ 1 (* -1 ux))) 1)
(- (* ux (+ 1 (* ux (- ux 1)))) 1)
(/ -1 ux)
(/ (- (/ 1 ux) 1) ux)
(/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)
(/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)
(/ -1 ux)
(* -1 (/ (- 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))
1
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
Outputs
1
#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 (/ (- (pow ux 2) 1) (+ 1 ux)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(+ (* -1 (/ (- (pow ux 2) 1) (+ 1 ux))) (* maxCos ux))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(* maxCos (+ ux (* -1 (/ (- (pow ux 2) 1) (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(* -1 (* maxCos (- (+ (* -1 ux) (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
-1
#s(literal -1 binary32)
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(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)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (+ maxCos ux) 1)))
(fma.f32 ux (+.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* -1 ux)))) 1)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) maxCos) (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* ux (+ maxCos (/ 1 (pow ux 2))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 (pow ux 2))) (/ 1 (pow ux 3))))
(fma.f32 ux maxCos (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux))
(* ux (- (+ maxCos (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4)))) (/ 1 (pow ux 3))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux)) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* ux (- (* -1 maxCos) (/ 1 (pow ux 2)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ (* -1 maxCos) (/ 1 (pow ux 3))) (/ 1 (pow ux 2)))))
(fma.f32 ux maxCos (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux))
(* -1 (* ux (- (+ (* -1 maxCos) (* -1 (/ (- (/ 1 ux) 1) (pow ux 3)))) (/ 1 (pow ux 2)))))
(fma.f32 ux maxCos (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux))
(/ 1 (+ 1 ux))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #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 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) 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 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) ux)
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* 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)
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 (* -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))
(neg.f32 (*.f32 ux 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))
(neg.f32 (*.f32 ux 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
#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)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 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)
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(-.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)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 ux)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
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(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux)
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(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) ux)
-1
#s(literal -1 binary32)
(- ux 1)
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(- ux 1)
(+.f32 #s(literal -1 binary32) ux)
(- ux 1)
(+.f32 #s(literal -1 binary32) ux)
ux
(* ux (- 1 (/ 1 ux)))
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(* ux (- 1 (/ 1 ux)))
(+.f32 #s(literal -1 binary32) ux)
(* ux (- 1 (/ 1 ux)))
(+.f32 #s(literal -1 binary32) ux)
ux
(* -1 (* ux (- (/ 1 ux) 1)))
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1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
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1
#s(literal 1 binary32)
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(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
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(* -1 (pow ux 3))
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(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
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(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) ux)
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
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(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (fma.f32 ux ux ux)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(neg.f32 (fma.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) (*.f32 ux (*.f32 ux 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 (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(*.f32 maxCos (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 ux (fma.f32 ux maxCos maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(*.f32 maxCos (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 ux (fma.f32 ux maxCos maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(*.f32 maxCos (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 ux (fma.f32 ux maxCos maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (neg.f32 (*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) #s(literal 1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (neg.f32 (*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) #s(literal 1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (neg.f32 (*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) #s(literal 1 binary32))))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
-1
#s(literal -1 binary32)
(- ux 1)
(+.f32 #s(literal -1 binary32) ux)
(- (* ux (+ 1 (* -1 ux))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(- (* ux (+ 1 (* ux (- ux 1)))) 1)
(fma.f32 ux (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ (- (/ 1 ux) 1) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)
(/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (- 1 (/ 1 ux)) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) ux)
1
#s(literal 1 binary32)
(+ 1 (* 2 ux))
(fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (+.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (+.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))

eval237.0ms (2.7%)

Memory
60.2MiB live, 559.7MiB allocated
Compiler

Compiled 61 727 to 4 656 computations (92.5% saved)

prune311.0ms (3.6%)

Memory
-22.3MiB live, 456.1MiB allocated
Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New2 17822 180
Fresh011
Picked145
Done066
Total2 179132 192
Accuracy
100.0%
Counts
2 192 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))))
96.5%
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))))
96.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
96.8%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))
98.7%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
90.8%
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))
98.0%
(-.f32 #s(literal 1 binary32) ux)
98.7%
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
86.6%
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.7%
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
73.2%
#s(literal 1 binary32)
Compiler

Compiled 550 to 208 computations (62.2% saved)

regimes25.0ms (0.3%)

Memory
22.0MiB live, 60.8MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 ux) maxCos))
(/.f32 (-.f32 (*.f32 ux (neg.f32 ux)) #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 ux maxCos)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(+.f32 (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(+.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
(+.f32 (*.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))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (-.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32))) maxCos)))
(/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.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 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (neg.f32 ux)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))))
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Calls

4 calls:

7.0ms
maxCos
6.0ms
uy
6.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
6.0ms
ux
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
-20.0MiB live, 19.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
Outputs
(-.f32 #s(literal 1 binary32) ux)
Calls

4 calls:

3.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
maxCos
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
98.0%1ux
98.0%1uy
98.0%1maxCos
98.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes5.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
Outputs
#s(literal 1 binary32)
Calls

4 calls:

1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
ux
1.0ms
maxCos
1.0ms
uy
Results
AccuracySegmentsBranch
73.2%1ux
73.2%1uy
73.2%1maxCos
73.2%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify8.0ms (0.1%)

Memory
-28.4MiB live, 13.2MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary32
*-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11311
21711
31911
42011
Stop Event
saturated
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

soundness486.0ms (5.5%)

Memory
6.6MiB live, 118.7MiB allocated
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
fuel
iter limit
node limit
Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess42.0ms (0.5%)

Memory
-37.4MiB live, 77.9MiB allocated
Remove

(abs uy)

Compiler

Compiled 88 to 56 computations (36.4% saved)

end0.0ms (0%)

Memory
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