UniformSampleCone, z

Time bar (total: 7.2s)

analyze75.0ms (1%)

Memory
-5.9MiB live, 111.4MiB 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)

sample1.1s (14.9%)

Memory
72.6MiB live, 1 397.3MiB allocated
Samples
661.0ms8 165×0valid
13.0ms91×1valid
Precisions
Click to see histograms. Total time spent on operations: 438.0ms
const: 133.0ms (30.3% of total)
ival-<=: 117.0ms (26.7% of total)
ival-sub: 55.0ms (12.5% of total)
ival-mult: 48.0ms (10.9% of total)
ival-add: 42.0ms (9.6% of total)
ival-and: 31.0ms (7.1% of total)
exact: 7.0ms (1.6% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess65.0ms (0.9%)

Memory
29.6MiB live, 66.8MiB 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)

explain290.0ms (4%)

Memory
-38.3MiB live, 99.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
249.0ms504×0valid
4.0ms1valid
Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 237.0ms
ival-sub: 230.0ms (97% of total)
ival-mult: 3.0ms (1.3% of total)
ival-add: 2.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

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)

simplify22.0ms (0.3%)

Memory
-8.6MiB live, 28.7MiB 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
27.2MiB live, 27.2MiB 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: 5.0ms
ival-add: 1.0ms (22.1% of total)
ival-mult: 1.0ms (22.1% of total)
ival-sub: 1.0ms (22.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.4MiB live, 5.4MiB 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
maxCos
@inf
(+ (- 1 ux) (* ux maxCos))
0.0ms
ux
@0
(+ (- 1 ux) (* ux maxCos))

rewrite279.0ms (3.9%)

Memory
26.6MiB live, 400.9MiB 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)

simplify270.0ms (3.8%)

Memory
-0.8MiB live, 269.1MiB 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)

eval45.0ms (0.6%)

Memory
-3.8MiB live, 69.5MiB allocated
Compiler

Compiled 8 109 to 762 computations (90.6% saved)

prune87.0ms (1.2%)

Memory
-32.3MiB live, 105.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3656371
Fresh000
Picked101
Done000
Total3666372
Accuracy
100.0%
Counts
372 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
98.7%
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
97.8%
(-.f32 #s(literal 1 binary32) ux)
98.5%
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
98.6%
(+.f32 (/.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 ux maxCos))
69.6%
#s(literal 1 binary32)
Compiler

Compiled 180 to 110 computations (38.9% saved)

simplify428.0ms (6%)

Memory
54.3MiB live, 515.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))
cost-diff64
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
cost-diff736
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
cost-diff0
(+.f32 #s(literal 1 binary32) ux)
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
cost-diff0
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
cost-diff512
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(+.f32 #s(literal -1 binary32) maxCos)
cost-diff0
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Rules
11 758×lower-fma.f64
11 752×lower-fma.f32
3 110×lower-*.f64
3 100×lower-*.f32
2 118×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021149
039135
183129
2192127
3463127
41258127
52027123
63159118
74112118
85434118
96592118
107471118
117764118
127918118
137937118
08110113
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
ux
(+.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
maxCos
#s(literal 1 binary32)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
ux
maxCos
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux ux)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
ux
(*.f32 ux (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) ux)
(fma.f32 ux ux #s(literal 1 binary32))
(*.f32 ux maxCos)
maxCos
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
ux
(+.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
maxCos
#s(literal 1 binary32)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)))
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)
(+.f32 ux #s(literal 1 binary32))
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))))
(*.f32 ux ux)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))
(fma.f32 ux (*.f32 ux (*.f32 ux (neg.f32 ux))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
ux
(*.f32 ux (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) ux)
(+.f32 ux #s(literal 1 binary32))
(fma.f32 ux ux #s(literal 1 binary32))
(*.f32 ux maxCos)
maxCos

localize75.0ms (1.1%)

Memory
-14.6MiB live, 148.9MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
accuracy99.2%
(*.f32 ux (*.f32 ux ux))
accuracy99.1%
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
accuracy98.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
accuracy99.9%
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
accuracy99.6%
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
accuracy98.8%
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
accuracy100.0%
(+.f32 #s(literal -1 binary32) maxCos)
accuracy100.0%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Samples
44.0ms246×0valid
4.0ms10×2valid
Compiler

Compiled 158 to 25 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 9.0ms (34.6% of total)
ival-add: 7.0ms (26.9% of total)
ival-div: 6.0ms (23% of total)
ival-sub: 3.0ms (11.5% of total)
adjust: 1.0ms (3.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-8.4MiB live, 30.1MiB allocated
Counts
14 → 216
Calls
Call 1
Inputs
#<alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))>
#<alt (+.f32 #s(literal -1 binary32) maxCos)>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt (-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))>
#<alt (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))>
#<alt (+.f32 #s(literal 1 binary32) ux)>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))>
#<alt (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))>
#<alt (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))>
#<alt (*.f32 ux (*.f32 ux (*.f32 ux ux)))>
#<alt (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))>
#<alt (*.f32 ux (*.f32 ux ux))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))>
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 (* ux (- maxCos 1))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt -1>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt maxCos>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt maxCos>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 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 (- 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>
#<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)>
#<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 (- 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) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))>
#<alt (- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2))))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))>
#<alt (- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2))))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))>
#<alt (- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2))))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))) (/ (pow ux 4) (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))) (/ (pow ux 4) (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))) (/ (pow ux 4) (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2))))) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 4)))>
#<alt (+ 1 (* -1 (pow ux 4)))>
#<alt (+ 1 (* -1 (pow ux 4)))>
#<alt (* -1 (pow ux 4))>
#<alt (* (pow ux 4) (- (/ 1 (pow ux 4)) 1))>
#<alt (* (pow ux 4) (- (/ 1 (pow ux 4)) 1))>
#<alt (* (pow ux 4) (- (/ 1 (pow ux 4)) 1))>
#<alt (* -1 (pow ux 4))>
#<alt (* (pow ux 4) (- (/ 1 (pow ux 4)) 1))>
#<alt (* (pow ux 4) (- (/ 1 (pow ux 4)) 1))>
#<alt (* (pow ux 4) (- (/ 1 (pow ux 4)) 1))>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<alt (pow ux 4)>
#<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 (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)>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 3) (+ 1 (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))))))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1)))>
#<alt (* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux)) 1)))>
Calls

54 calls:

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

rewrite422.0ms (5.9%)

Memory
10.4MiB live, 512.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 076×lower-*.f64
5 066×lower-*.f32
4 012×lower-/.f64
4 006×lower-/.f32
2 248×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021120
03973
119469
2192369
0813867
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 137
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 #s(literal -1 binary32) maxCos)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(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))
(+.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) (fma.f32 ux ux #s(literal 1 binary32))))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux (*.f32 ux ux))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
Outputs
(+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(pow.f32 (/.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 ux maxCos (neg.f32 ux))) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux maxCos (neg.f32 ux))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32)) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))))) (*.f32 (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (neg.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux 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))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 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) (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux ux) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 maxCos (*.f32 ux maxCos)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #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 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 ux maxCos) ux) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) 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)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.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)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.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)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.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 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(-.f32 (fma.f32 ux maxCos (/.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 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (-.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos)))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (/.f32 (*.f32 (*.f32 (*.f32 ux maxCos) ux) maxCos) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux maxCos (neg.f32 ux))) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))))
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(pow.f32 (/.f32 (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32)) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))))) (*.f32 (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (neg.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux 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))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 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) (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux ux) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 maxCos (*.f32 ux maxCos)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #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 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 ux maxCos) ux) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) 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)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.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)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.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)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.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 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(-.f32 (fma.f32 ux maxCos (/.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 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (-.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos)))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (/.f32 (*.f32 (*.f32 (*.f32 ux maxCos) ux) maxCos) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux maxCos (neg.f32 ux))) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))) (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
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(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
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(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #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 maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
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(-.f32 (fma.f32 ux maxCos (/.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 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (-.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos)))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (/.f32 (*.f32 (*.f32 (*.f32 ux maxCos) ux) maxCos) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux maxCos (neg.f32 ux))) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))) (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
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(/.f32 (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux maxCos (neg.f32 ux))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux maxCos (neg.f32 ux))) (fma.f32 ux maxCos (neg.f32 ux)))))
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(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 ux (fma.f32 ux ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))) (neg.f32 (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 ux (fma.f32 ux ux ux)) (-.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (+.f32 ux #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 ux (fma.f32 ux ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (neg.f32 (-.f32 (*.f32 ux (fma.f32 ux ux ux)) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(/.f32 (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)))) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))
(*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))

simplify340.0ms (4.7%)

Memory
-21.5MiB live, 596.8MiB allocated
Algorithm
egg-herbie
Rules
10 932×lower-fma.f64
10 932×lower-fma.f32
3 740×lower-*.f64
3 740×lower-*.f32
2 016×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851589
15751524
217281451
361551436
082601329
Stop Event
iter limit
node limit
Counts
216 → 210
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
-1
(- maxCos 1)
(- maxCos 1)
(- maxCos 1)
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
1
(+ 1 (* -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 (+ 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
(+ 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 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 (- 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) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2))))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2))))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2))))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))) (/ (pow ux 4) (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))) (/ (pow ux 4) (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))) (/ (pow ux 4) (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2))))) maxCos)))))
1
(+ 1 (* -1 (pow ux 4)))
(+ 1 (* -1 (pow ux 4)))
(+ 1 (* -1 (pow ux 4)))
(* -1 (pow ux 4))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(* -1 (pow ux 4))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(pow ux 4)
(pow ux 4)
(pow ux 4)
(pow ux 4)
(pow ux 4)
(pow ux 4)
(pow ux 4)
(pow ux 4)
(pow ux 4)
(pow ux 4)
(pow ux 4)
(pow ux 4)
(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)))
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 3) (+ 1 (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux)) 1)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
-1
#s(literal -1 binary32)
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -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 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.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 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) ux) (*.f32 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)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 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 (-.f32 ux (fma.f32 ux 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 (/.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) 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 (/.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) 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
#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 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2))))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2))))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2))))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))) (/ (pow ux 4) (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))) (/ (pow ux 4) (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))) (/ (pow ux 4) (* maxCos (* (+ 1 ux) (+ 1 (pow ux 2)))))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2))))) maxCos)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2))))) maxCos)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (pow ux 2)))) (/ (pow ux 4) (* (+ 1 ux) (+ 1 (pow ux 2))))) maxCos)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 4)))
(fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 4)))
(fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 4)))
(fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(* -1 (pow ux 4))
(neg.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(* -1 (pow ux 4))
(neg.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(* (pow ux 4) (- (/ 1 (pow ux 4)) 1))
(fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(pow ux 4)
(*.f32 ux (*.f32 ux (*.f32 ux ux)))
(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 ux (fma.f32 ux ux (neg.f32 ux)) ux))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(*.f32 ux (fma.f32 (*.f32 ux ux) (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32))) ux))
ux
(* ux (- 1 (/ 1 ux)))
(+.f32 ux #s(literal -1 binary32))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(+.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(* 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 ux #s(literal -1 binary32))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(+.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(* -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)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 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 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
(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) (/ 1 (pow ux 2)))))
(fma.f32 ux (fma.f32 ux ux ux) ux)
(* (pow ux 3) (+ 1 (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))))))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1)))
(neg.f32 (neg.f32 (fma.f32 ux (fma.f32 ux ux ux) ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux)) 1)))
(fma.f32 ux (*.f32 ux ux) (neg.f32 (fma.f32 ux (neg.f32 ux) (-.f32 #s(literal -1 binary32) ux))))

eval231.0ms (3.2%)

Memory
10.4MiB live, 260.1MiB allocated
Compiler

Compiled 50 441 to 2 483 computations (95.1% saved)

prune143.0ms (2%)

Memory
15.2MiB live, 328.8MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 46121 463
Fresh101
Picked235
Done000
Total1 46451 469
Accuracy
100.0%
Counts
1 469 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
100.0%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
96.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
97.8%
(-.f32 #s(literal 1 binary32) ux)
69.6%
#s(literal 1 binary32)
Compiler

Compiled 51 to 36 computations (29.4% saved)

simplify433.0ms (6%)

Memory
-10.0MiB live, 384.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
cost-diff0
(-.f32 #s(literal -1 binary32) ux)
cost-diff0
(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
cost-diff992
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
cost-diff0
(*.f32 ux ux)
cost-diff0
(*.f32 ux (*.f32 ux ux))
cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
cost-diff64
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
Rules
10 736×lower-fma.f64
10 732×lower-fma.f32
2 292×lower-*.f64
2 288×lower-*.f32
1 844×lower--.f64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
01471
02765
15265
27665
314965
425365
549565
687765
7107663
8136662
9146362
10158156
11190056
12296856
13620156
0821356
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux ux))
ux
(*.f32 ux ux)
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 ux #s(literal 1 binary32))
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
ux
(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
Outputs
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux ux))
ux
(*.f32 ux ux)
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) ux)
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) ux)
ux
(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)

localize79.0ms (1.1%)

Memory
8.2MiB live, 85.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f32 #s(literal 1 binary32) ux)
accuracy99.7%
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
accuracy99.2%
(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
accuracy100.0%
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
accuracy100.0%
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
accuracy99.2%
(*.f32 ux (*.f32 ux ux))
accuracy98.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
Samples
30.0ms246×0valid
5.0ms10×5exit
Compiler

Compiled 76 to 20 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (31.9% of total)
ival-div: 6.0ms (27.4% of total)
ival-add: 5.0ms (22.8% of total)
ival-sub: 3.0ms (13.7% of total)
adjust: 1.0ms (4.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))>
#<alt (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))>
#<alt (*.f32 ux (*.f32 ux ux))>
#<alt (*.f32 ux ux)>
#<alt (fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))>
#<alt (/.f32 ux (-.f32 #s(literal -1 binary32) ux))>
#<alt (-.f32 #s(literal -1 binary32) ux)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))>
#<alt (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))>
#<alt (+.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 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (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)>
#<alt (pow ux 3)>
#<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))>
#<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 ux)>
#<alt (* ux (- ux 1))>
#<alt (* ux (- (* ux (+ 1 (* -1 ux))) 1))>
#<alt (* ux (- (* ux (+ 1 (* ux (- ux 1)))) 1))>
#<alt -1>
#<alt (- (/ 1 ux) 1)>
#<alt (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2))))>
#<alt (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2))))>
#<alt -1>
#<alt (- (/ 1 ux) 1)>
#<alt (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)>
#<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 (* 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 (+ 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 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)))>
Calls

30 calls:

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

rewrite303.0ms (4.2%)

Memory
2.5MiB live, 638.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 724×lower-fma.f64
7 720×lower-fma.f32
3 638×lower-/.f64
3 632×lower-/.f32
3 576×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01463
02757
112948
2112347
0859245
Stop Event
iter limit
node limit
iter limit
Counts
10 → 679
Calls
Call 1
Inputs
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(*.f32 ux (*.f32 ux ux))
(*.f32 ux ux)
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal -1 binary32) ux)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) ux)
Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.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)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))))
(+.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (neg.f32 (*.f32 ux (*.f32 ux ux)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (neg.f32 (*.f32 ux (*.f32 ux ux)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (*.f32 ux ux)) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32))))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (fma.f32 ux ux ux)) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) #s(literal -1 binary32)))
(+.f32 (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(+.f32 (*.f32 (*.f32 ux ux) (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)))))
(+.f32 (*.f32 (fma.f32 ux ux ux) (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) #s(literal 1 binary32))
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(-.f32 #s(literal 1 binary32) (neg.f32 ux))
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(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))) (+.f32 #s(literal 0 binary32) (fma.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) ux)))))
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(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))

simplify424.0ms (5.9%)

Memory
-20.9MiB live, 685.6MiB allocated
Algorithm
egg-herbie
Rules
15 080×lower-fma.f64
15 080×lower-fma.f32
4 082×lower-*.f64
4 082×lower-*.f32
1 844×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062564
1183510
2474493
31708489
45290485
08311471
Stop Event
iter limit
node limit
Counts
120 → 118
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 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(* -1 (pow ux 3))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(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 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 ux)
(* ux (- ux 1))
(* ux (- (* ux (+ 1 (* -1 ux))) 1))
(* ux (- (* ux (+ 1 (* ux (- ux 1)))) 1))
-1
(- (/ 1 ux) 1)
(- (/ 1 ux) (+ 1 (/ 1 (pow ux 2))))
(- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2))))
-1
(- (/ 1 ux) 1)
(- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)
(- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)
-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 (* 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)))
(+ 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)))))
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)))
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 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(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))
(-.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 ux)
(neg.f32 ux)
(* ux (- ux 1))
(fma.f32 ux ux (neg.f32 ux))
(* ux (- (* ux (+ 1 (* -1 ux))) 1))
(*.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(* ux (- (* ux (+ 1 (* ux (- ux 1)))) 1))
(*.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
-1
#s(literal -1 binary32)
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(- (/ 1 ux) (+ 1 (/ 1 (pow ux 2))))
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)))
(- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux #s(literal 1 binary32)))
-1
#s(literal -1 binary32)
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux ux))) (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 (* 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) ux) (*.f32 ux ux))
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (+.f32 (+.f32 #s(literal -1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))) (*.f32 ux ux))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (+.f32 (+.f32 #s(literal -1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))) (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 ux)))
(+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))
(+ 1 (* ux (+ 1 ux)))
(+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))
(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 ux (fma.f32 ux ux #s(literal 1 binary32)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))
(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 ux (fma.f32 ux ux #s(literal 1 binary32)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 ux (fma.f32 ux 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)

eval117.0ms (1.6%)

Memory
14.4MiB live, 127.9MiB allocated
Compiler

Compiled 20 926 to 1 956 computations (90.7% saved)

prune108.0ms (1.5%)

Memory
-7.8MiB live, 270.8MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New7952797
Fresh000
Picked202
Done033
Total7975802
Accuracy
100.0%
Counts
802 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
96.7%
(/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
96.8%
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
97.8%
(-.f32 #s(literal 1 binary32) ux)
69.6%
#s(literal 1 binary32)
Compiler

Compiled 52 to 35 computations (32.7% saved)

simplify52.0ms (0.7%)

Memory
-18.9MiB live, 64.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 ux)
cost-diff0
(*.f32 ux (neg.f32 ux))
cost-diff0
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
cost-diff64
(/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
cost-diff0
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
cost-diff0
(*.f32 ux ux)
cost-diff0
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
cost-diff0
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
Rules
656×lower-fma.f64
648×lower-fma.f32
382×times-frac
360×lower-*.f64
356×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01472
02868
15067
27166
310866
418666
532266
647766
785366
8137766
9144866
10146866
11147066
12147066
0147066
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f32 (fma.f32 ux (*.f32 ux ux) #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))
ux
(*.f32 ux ux)
#s(literal -1 binary32)
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
ux
(*.f32 ux (neg.f32 ux))
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(fma.f32 ux ux ux)
Outputs
(/.f32 (fma.f32 ux (*.f32 ux ux) #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))
ux
(*.f32 ux ux)
#s(literal -1 binary32)
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
ux
(*.f32 ux (neg.f32 ux))
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 ux ux ux)

localize48.0ms (0.7%)

Memory
34.3MiB live, 110.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f32 ux)
accuracy99.9%
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
accuracy99.9%
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
accuracy98.8%
(/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
accuracy100.0%
(*.f32 ux ux)
accuracy100.0%
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
accuracy99.9%
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
accuracy98.8%
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
Samples
27.0ms246×0valid
3.0ms10×2valid
Compiler

Compiled 83 to 21 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 8.0ms (38.1% of total)
ival-add: 6.0ms (28.6% of total)
ival-div: 3.0ms (14.3% of total)
ival-sub: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-28.0MiB live, 12.3MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))>
#<alt (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))>
#<alt (*.f32 ux ux)>
#<alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))>
#<alt (/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))>
#<alt (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))>
#<alt (*.f32 ux (neg.f32 ux))>
#<alt (neg.f32 ux)>
#<alt (+.f32 #s(literal 1 binary32) (fma.f32 ux 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 (- (pow ux 3) 1)>
#<alt (- (pow ux 3) 1)>
#<alt (- (pow ux 3) 1)>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (- 1 (/ 1 (pow ux 3))))>
#<alt (* (pow ux 3) (- 1 (/ 1 (pow ux 3))))>
#<alt (* (pow ux 3) (- 1 (/ 1 (pow ux 3))))>
#<alt (pow ux 3)>
#<alt (* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))>
#<alt (* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))>
#<alt (* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))>
#<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) 1)>
#<alt (- (* ux (- (* -1 ux) 1)) 1)>
#<alt (- (* ux (- (* -1 ux) 1)) 1)>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) 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 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<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 (+ 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)))))>
Calls

27 calls:

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

rewrite402.0ms (5.6%)

Memory
4.8MiB live, 562.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 692×lower-fma.f64
11 684×lower-fma.f32
4 014×lower-*.f64
4 010×lower-*.f32
2 762×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01461
02857
112856
2101237
01027637
Stop Event
iter limit
node limit
iter limit
Counts
9 → 977
Calls
Call 1
Inputs
(/.f32 (fma.f32 ux (*.f32 ux ux) #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 ux)
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(*.f32 ux (neg.f32 ux))
(neg.f32 ux)
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) #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 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 (*.f32 ux (*.f32 ux (neg.f32 ux))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 ux (*.f32 ux ux))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 ux (*.f32 ux ux))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (*.f32 ux (-.f32 #s(literal -1 binary32) ux))) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 ux (*.f32 ux (neg.f32 ux)))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 ux (*.f32 ux (neg.f32 ux)))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 (*.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)))) #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 ux (-.f32 #s(literal -1 binary32) ux))))
(+.f32 (*.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))))
(+.f32 (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(+.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)))))
(+.f32 (*.f32 (*.f32 ux (*.f32 ux (neg.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))))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(+.f32 (*.f32 (*.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(+.f32 (*.f32 #s(literal 1 binary32) (/.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 (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.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))))))
(pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) 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) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (*.f32 ux (*.f32 ux (neg.f32 ux))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 ux (neg.f32 ux)) (/.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) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 (*.f32 ux (*.f32 ux (neg.f32 ux))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.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 (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.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))))))
(fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (*.f32 (*.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) (fma.f32 ux ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (*.f32 (*.f32 ux (*.f32 ux (neg.f32 ux))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (*.f32 ux (*.f32 ux (neg.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 (*.f32 ux (neg.f32 ux))) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(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 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(fma.f32 (*.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(fma.f32 (fma.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.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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(/.f32 (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 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (neg.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 ux (-.f32 #s(literal -1 binary32) ux)))))
(/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.f32 (-.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 (fma.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux (fma.f32 ux ux ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.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 (fma.f32 (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))) (*.f32 ux (*.f32 ux ux))) (fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32))))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (fma.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux (fma.f32 ux ux ux)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux (fma.f32 ux ux ux)) #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.f32 (neg.f32 (neg.f32 (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 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.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 (neg.f32 (fma.f32 (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))) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(/.f32 (fma.f32 ux (*.f32 ux ux) (*.f32 (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))))) (fma.f32 ux ux (-.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux (fma.f32 ux ux #s(literal 1 binary32))))))
(/.f32 (fma.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (fma.f32 ux ux ux)))))
(/.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (fma.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 ux (fma.f32 ux ux ux)))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 3 binary32)) (*.f32 ux (*.f32 ux ux))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (fma.f32 ux (neg.f32 ux) ux)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (fma.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux (fma.f32 ux ux ux)) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal 3 binary32))) (fma.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 (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 ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))))
(/.f32 (-.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (-.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (-.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) ux)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux (fma.f32 ux ux ux)) #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.f32 (-.f32 (*.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)))) (*.f32 (/.f32 (*.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 ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.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)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal -1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.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) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(*.f32 (fma.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux (fma.f32 ux ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(*.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(*.f32 (fma.f32 (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))) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))))))
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))))

simplify285.0ms (4%)

Memory
6.3MiB live, 354.7MiB allocated
Algorithm
egg-herbie
Rules
6 670×lower-fma.f64
6 670×lower-fma.f32
3 618×lower-*.f64
3 618×lower-*.f32
1 388×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043456
1112427
2322404
3940404
42704404
54304404
66345404
77697404
08070390
Stop Event
iter limit
node limit
Counts
108 → 108
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
(- (pow ux 3) 1)
(- (pow ux 3) 1)
(- (pow ux 3) 1)
(pow ux 3)
(* (pow ux 3) (- 1 (/ 1 (pow ux 3))))
(* (pow ux 3) (- 1 (/ 1 (pow ux 3))))
(* (pow ux 3) (- 1 (/ 1 (pow ux 3))))
(pow ux 3)
(* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))
(* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))
(* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))
(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) 1)
(- (* ux (- (* -1 ux) 1)) 1)
(- (* ux (- (* -1 ux) 1)) 1)
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))
(* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))
(* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) 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 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(* -1 (pow ux 3))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -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)))
(+ 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)))))
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)
(- (pow ux 3) 1)
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
(- (pow ux 3) 1)
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
(- (pow ux 3) 1)
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (- 1 (/ 1 (pow ux 3))))
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
(* (pow ux 3) (- 1 (/ 1 (pow ux 3))))
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
(* (pow ux 3) (- 1 (/ 1 (pow ux 3))))
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
(* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
(* -1 (* (pow ux 3) (- (/ 1 (pow ux 3)) 1)))
(fma.f32 ux (*.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) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* ux (- (* -1 ux) 1)) 1)
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(- (* ux (- (* -1 ux) 1)) 1)
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))
(neg.f32 (fma.f32 ux ux ux))
(* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))
(neg.f32 (fma.f32 ux ux ux))
(* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(* (pow ux 2) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 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 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
1
#s(literal 1 binary32)
(+ 1 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))

eval200.0ms (2.8%)

Memory
-3.1MiB live, 201.6MiB allocated
Compiler

Compiled 28 685 to 1 989 computations (93.1% saved)

prune119.0ms (1.7%)

Memory
10.6MiB live, 282.5MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1 08411 085
Fresh000
Picked112
Done033
Total1 08551 090
Accuracy
100.0%
Counts
1 090 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(fma.f32 (*.f32 ux (neg.f32 ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
100.0%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
96.8%
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
97.8%
(-.f32 #s(literal 1 binary32) ux)
69.6%
#s(literal 1 binary32)
Compiler

Compiled 191 to 77 computations (59.7% saved)

regimes43.0ms (0.6%)

Memory
-4.5MiB live, 36.3MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux (neg.f32 ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(-.f32 (fma.f32 ux maxCos (/.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 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(+.f32 (/.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 ux maxCos))
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Calls

4 calls:

31.0ms
ux
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
uy
4.0ms
maxCos
Results
AccuracySegmentsBranch
100.0%1ux
100.0%1uy
100.0%1maxCos
100.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB 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:

2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
2.0ms
ux
2.0ms
maxCos
Results
AccuracySegmentsBranch
97.8%1ux
97.8%1uy
97.8%1maxCos
97.8%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
14.1MiB live, 14.1MiB 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
maxCos
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
69.6%1ux
69.6%1uy
69.6%1maxCos
69.6%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify30.0ms (0.4%)

Memory
-27.0MiB live, 12.7MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary32
sub-neg_binary32
*-commutative_binary32
neg-sub0_binary32
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
21610
31810
41910
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

soundness613.0ms (8.5%)

Memory
-10.1MiB live, 277.0MiB allocated
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
5 316×lower-fma.f64
5 316×lower-fma.f32
4 062×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
0613
0913
14213
234313
3526813
0896812
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 32 to 24 computations (25% saved)

preprocess19.0ms (0.3%)

Memory
26.1MiB live, 64.4MiB allocated
Remove

(abs uy)

Compiler

Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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