UniformSampleCone, z

Time bar (total: 6.5s)

analyze92.0ms (1.4%)

Memory
-4.7MiB live, 113.9MiB 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)

sample1.0s (15.8%)

Memory
89.9MiB live, 1 417.4MiB allocated
Samples
651.0ms8 176×0valid
10.0ms80×1valid
Precisions
Click to see histograms. Total time spent on operations: 466.0ms
const: 129.0ms (27.7% of total)
ival-<=: 122.0ms (26.2% of total)
ival-add: 68.0ms (14.6% of total)
ival-mult: 57.0ms (12.2% of total)
ival-sub: 47.0ms (10.1% of total)
ival-and: 30.0ms (6.4% of total)
exact: 8.0ms (1.7% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess289.0ms (4.4%)

Memory
-12.4MiB live, 82.2MiB 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)

explain65.0ms (1%)

Memory
-15.3MiB live, 101.7MiB 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
21.0ms508×0valid
0.0ms1valid
Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (33.2% of total)
ival-add: 2.0ms (22.1% of total)
ival-sub: 2.0ms (22.1% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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
-8.0MiB live, 29.2MiB 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 (0.3%)

Memory
27.6MiB live, 27.6MiB 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
10.0ms254×0valid
0.0ms1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (22.9% of total)
ival-sub: 1.0ms (22.9% of total)
ival-mult: 1.0ms (22.9% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-34.1MiB live, 5.5MiB 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
3.0ms
maxCos
@-inf
(+ (- 1 ux) (* ux maxCos))
0.0ms
ux
@inf
(+ (- 1 ux) (* ux maxCos))
0.0ms
ux
@-inf
(+ (- 1 ux) (* ux maxCos))
0.0ms
ux
@0
(+ (- 1 ux) (* ux maxCos))
0.0ms
maxCos
@inf
(+ (- 1 ux) (* ux maxCos))

rewrite272.0ms (4.2%)

Memory
60.8MiB live, 397.3MiB 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)

simplify271.0ms (4.2%)

Memory
4.5MiB live, 273.3MiB allocated
Algorithm
egg-herbie
Rules
5 316×lower-fma.f64
5 316×lower-fma.f32
2 180×div-sub
2 012×lower-*.f64
2 012×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval43.0ms (0.7%)

Memory
-5.6MiB live, 67.9MiB allocated
Compiler

Compiled 8 109 to 762 computations (90.6% saved)

prune72.0ms (1.1%)

Memory
-26.0MiB live, 104.9MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3665371
Fresh000
Picked011
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)))
96.5%
(-.f32 #s(literal 1 binary32) ux)
98.4%
(+.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))
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
71.7%
#s(literal 1 binary32)
Compiler

Compiled 136 to 87 computations (36% saved)

simplify435.0ms (6.7%)

Memory
20.7MiB live, 442.9MiB 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

localize76.0ms (1.2%)

Memory
-5.8MiB live, 157.6MiB 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)))
accuracy99.7%
(-.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)))
accuracy98.9%
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.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
37.0ms249×0valid
2.0ms1valid
Compiler

Compiled 158 to 25 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (31.6% of total)
ival-add: 7.0ms (27.7% of total)
ival-div: 6.0ms (23.7% of total)
ival-sub: 3.0ms (11.9% 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)

series14.0ms (0.2%)

Memory
30.7MiB live, 30.7MiB 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
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)))
1.0ms
ux
@inf
(/ (- 1 (* ux (* ux (* ux ux)))) (* (+ 1 ux) (+ (* ux ux) 1)))

rewrite348.0ms (5.3%)

Memory
-14.6MiB live, 527.5MiB 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))))
(-.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)))))))))
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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)))

simplify323.0ms (5%)

Memory
14.4MiB live, 559.7MiB 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))))

eval147.0ms (2.3%)

Memory
-4.4MiB live, 313.0MiB allocated
Compiler

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

prune180.0ms (2.8%)

Memory
-4.7MiB live, 236.3MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1 46031 463
Fresh000
Picked235
Done101
Total1 46361 469
Accuracy
100.0%
Counts
1 469 → 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))
99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
95.5%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
95.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
96.5%
(-.f32 #s(literal 1 binary32) ux)
71.7%
#s(literal 1 binary32)
Compiler

Compiled 55 to 39 computations (29.1% saved)

simplify97.0ms (1.5%)

Memory
-10.0MiB live, 66.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(fma.f32 ux maxCos (-.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)))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
Rules
1 040×lower-fma.f64
1 036×lower-fma.f32
520×lower-*.f64
516×lower-*.f32
288×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01369
02559
15259
29059
318059
432959
567959
6109959
7140859
8157859
9165359
10166159
11166159
0166159
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(/.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 maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.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))
(-.f32 #s(literal 1 binary32) ux)
ux
(/.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 maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

localize96.0ms (1.5%)

Memory
16.6MiB live, 94.5MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
accuracy100.0%
(fma.f32 ux maxCos (-.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)))
accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
accuracy99.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
accuracy98.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
Samples
76.0ms249×0valid
3.0ms5exit
Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div: 54.0ms (80.3% of total)
ival-mult: 5.0ms (7.4% of total)
ival-add: 3.0ms (4.5% of total)
ival-sub: 2.0ms (3% of total)
adjust: 1.0ms (1.5% 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
8.9MiB live, 8.9MiB allocated
Counts
9 → 120
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (/.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 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 maxCos (-.f32 #s(literal 1 binary32) ux))>
#<alt (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -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 (* 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 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

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

rewrite435.0ms (6.7%)

Memory
0.7MiB live, 669.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 398×lower-fma.f64
12 394×lower-fma.f32
3 864×lower-/.f64
3 858×lower-/.f32
3 728×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01356
02537
112037
2107237
0859737
Stop Event
iter limit
node limit
iter limit
Counts
9 → 765
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(/.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 maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(neg.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (log1p.f32 (neg.f32 ux)))
(exp.f32 (*.f32 (log1p.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 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(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 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32) (*.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.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) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.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 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) #s(literal -1 binary32)) (*.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) (*.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal -1/2 binary32)) (*.f32 (neg.f32 ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 0 binary32) (+.f32 ux #s(literal -1 binary32)))
(-.f32 #s(literal 0 binary32) (/.f32 (-.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 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
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(fma.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(fma.f32 (*.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)) (+.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(-.f32 (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) 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) (-.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 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #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 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (neg.f32 (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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))))
(/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 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)) (fma.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 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) (fma.f32 ux ux ux) (neg.f32 (fma.f32 ux ux ux)))))
(/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(/.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) (fma.f32 ux ux ux) (-.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 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (neg.f32 (fma.f32 ux ux ux))))))
(/.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (fma.f32 ux (neg.f32 ux) (-.f32 #s(literal 1 binary32) 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 (-.f32 (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) 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) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)))) (neg.f32 (fma.f32 ux (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(/.f32 (fma.f32 ux (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) 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)) (-.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) 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 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) 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 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux ux)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) 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 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (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 (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) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(*.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 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (neg.f32 (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) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))
(*.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) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))
(*.f32 (neg.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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) 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 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(*.f32 (pow.f32 (/.f32 #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 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))

simplify223.0ms (3.4%)

Memory
-6.8MiB live, 446.3MiB allocated
Algorithm
egg-herbie
Rules
9 124×lower-fma.f64
9 124×lower-fma.f32
2 716×lower-*.f64
2 716×lower-*.f32
1 120×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077551
1218532
2612522
31794522
45165522
08170494
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -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 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 ux)
(+ 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)
(+ 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)))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/.f32 (-.f32 #s(literal -1 binary32) (-.f32 ux (/.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)))) (*.f32 ux ux))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))) ux)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(/.f32 (-.f32 #s(literal -1 binary32) (-.f32 ux (/.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)))) (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -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 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.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))

eval102.0ms (1.6%)

Memory
-39.2MiB live, 259.0MiB allocated
Compiler

Compiled 29 409 to 1 692 computations (94.2% saved)

prune174.0ms (2.7%)

Memory
2.8MiB live, 318.0MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 03811 039
Fresh000
Picked123
Done033
Total1 03961 045
Accuracy
100.0%
Counts
1 045 → 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))
99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
95.6%
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
95.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
96.5%
(-.f32 #s(literal 1 binary32) ux)
71.7%
#s(literal 1 binary32)
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify57.0ms (0.9%)

Memory
7.2MiB live, 85.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
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)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
Rules
656×lower-fma.f64
652×lower-fma.f32
526×times-frac
360×lower-*.f64
358×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0734
01332
12532
24632
38732
417132
529232
640432
748332
858132
990732
10174732
11186532
12191732
13191932
14191932
0191932
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
ux
(*.f32 ux 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)) (-.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 ux) #s(literal -1 binary32))
ux
(*.f32 ux ux)
#s(literal -1 binary32)
(-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(fma.f32 ux ux ux)

localize57.0ms (0.9%)

Memory
-8.1MiB live, 71.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f32 ux ux ux)
accuracy100.0%
(*.f32 ux ux)
accuracy100.0%
(-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
accuracy98.8%
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
Samples
16.0ms249×0valid
1.0ms1valid
Compiler

Compiled 41 to 12 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.2% of total)
ival-div: 2.0ms (22.8% of total)
ival-add: 2.0ms (22.8% of total)
ival-sub: 1.0ms (11.4% 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)

series2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))>
#<alt (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))>
#<alt (*.f32 ux ux)>
#<alt (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))>
#<alt (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 ux>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
Calls

15 calls:

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

rewrite327.0ms (5%)

Memory
-2.2MiB live, 554.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 152×lower-fma.f64
7 148×lower-fma.f32
5 122×lower-*.f64
5 120×lower-*.f32
4 472×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0732
01330
16630
256021
0844221
Stop Event
iter limit
node limit
iter limit
Counts
5 → 494
Calls
Call 1
Inputs
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
(*.f32 ux ux)
(-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
(fma.f32 ux ux ux)
Outputs
(neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 ux (*.f32 ux ux))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 ux (*.f32 ux ux))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (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) (*.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) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))) (*.f32 (fma.f32 ux ux ux) (+.f32 ux (fma.f32 ux ux #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) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))) (*.f32 (fma.f32 ux ux ux) (+.f32 ux (fma.f32 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) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))) #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) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))) (+.f32 #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)) (-.f32 #s(literal -1 binary32) (*.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))) (neg.f32 (fma.f32 ux ux ux))))
(+.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)))) (fma.f32 ux ux ux)))
(+.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)))) (fma.f32 ux ux ux)) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) #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)))) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) ux))
(+.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)))) (+.f32 #s(literal -1 binary32) ux)) (*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (*.f32 ux ux)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(+.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
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(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) (*.f32 (*.f32 ux ux) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) ux))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 ux ux) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) ux)) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux))))))
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) (*.f32 (*.f32 ux ux) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) ux))) #s(literal 1 binary32)) (*.f32 (fma.f32 ux (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (fma.f32 ux ux (neg.f32 ux))))
(/.f32 (*.f32 (*.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) ux)) (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) ux)) (fma.f32 ux ux (neg.f32 ux))))
(/.f32 (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) #s(literal 1 binary32)) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))))
(/.f32 (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 ux ux (neg.f32 ux)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)))) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)))) (neg.f32 (neg.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))))) (fma.f32 ux ux (neg.f32 ux)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))))) (neg.f32 (neg.f32 (fma.f32 ux ux (neg.f32 ux)))))
(/.f32 (neg.f32 (*.f32 ux (-.f32 ux (*.f32 ux (*.f32 ux ux))))) (neg.f32 (-.f32 ux (*.f32 ux ux))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (neg.f32 ux))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux ux (neg.f32 ux))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (neg.f32 ux))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (neg.f32 ux))) (fma.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux ux (neg.f32 ux))) (/.f32 (*.f32 ux ux) (fma.f32 ux ux (neg.f32 ux))) (*.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (neg.f32 ux))) (/.f32 (*.f32 ux ux) (fma.f32 ux ux (neg.f32 ux)))))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (neg.f32 ux))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (neg.f32 ux)))) (*.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux ux (neg.f32 ux))) (/.f32 (*.f32 ux ux) (fma.f32 ux ux (neg.f32 ux))))) (+.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (neg.f32 ux))) (/.f32 (*.f32 ux ux) (fma.f32 ux ux (neg.f32 ux)))))
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)))) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))))
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))))) (fma.f32 ux ux (neg.f32 ux)))
(/.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 ux (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (*.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))) (/.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))))) (fma.f32 ux (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (*.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))))))
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) (*.f32 (*.f32 ux ux) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) ux))) (/.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))))) (*.f32 (*.f32 ux ux) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) ux)))
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) (*.f32 (*.f32 ux ux) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (neg.f32 ux)))) (fma.f32 ux (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux (*.f32 ux (*.f32 ux ux))))))
(/.f32 (*.f32 (*.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) ux)) (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (neg.f32 ux)))) (*.f32 ux (fma.f32 ux (*.f32 ux ux) ux)))
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) ux) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (+.f32 ux #s(literal -1 binary32)))
(*.f32 ux (+.f32 ux #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 ux ux ux)))
(*.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
(*.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux (neg.f32 ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (neg.f32 ux)))))
(*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) (/.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux))))))
(*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (*.f32 (*.f32 ux ux) (fma.f32 ux ux (neg.f32 ux))))))
(*.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))) (*.f32 (fma.f32 ux ux ux) (/.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))))))
(*.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(*.f32 (neg.f32 (fma.f32 ux ux ux)) #s(literal -1 binary32))
(*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (neg.f32 ux))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) ux)
(*.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (neg.f32 ux)))
(*.f32 (neg.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))))))
(*.f32 (neg.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux ux (neg.f32 ux)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux))))) (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (neg.f32 ux))) (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (*.f32 ux (-.f32 ux (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux ux))))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (neg.f32 ux))
(*.f32 (neg.f32 (-.f32 #s(literal -1 binary32) ux)) ux)
(*.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) ux)
(*.f32 (/.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32)))) (fma.f32 ux ux ux))
(*.f32 (/.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) (fma.f32 ux (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (*.f32 (*.f32 ux (-.f32 ux (*.f32 ux ux))) (*.f32 ux (*.f32 (-.f32 ux (*.f32 ux ux)) (*.f32 ux (-.f32 ux (*.f32 ux ux)))))))) (fma.f32 ux (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 ux (-.f32 ux (*.f32 ux ux))) (-.f32 (*.f32 ux (-.f32 ux (*.f32 ux ux))) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))))
(*.f32 (/.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) (*.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux)))) (*.f32 ux (-.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 ux (*.f32 ux ux)))))) (*.f32 ux (-.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 ux (*.f32 ux ux)))))
(*.f32 (/.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (*.f32 ux ux) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) ux))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (*.f32 ux (fma.f32 ux ux ux))))

simplify256.0ms (3.9%)

Memory
18.3MiB live, 349.3MiB allocated
Algorithm
egg-herbie
Rules
7 426×lower-fma.f64
7 426×lower-fma.f32
3 312×lower-*.f64
3 312×lower-*.f32
1 534×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035262
190251
2252236
3694236
42260236
54312236
66837236
08111221
Stop Event
iter limit
node limit
Counts
60 → 59
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))
ux
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
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))))
(*.f32 ux (-.f32 #s(literal -1 binary32) 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))))
(*.f32 ux (-.f32 #s(literal -1 binary32) 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))
ux
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)

eval54.0ms (0.8%)

Memory
-10.3MiB live, 142.6MiB allocated
Compiler

Compiled 18 002 to 1 507 computations (91.6% saved)

prune73.0ms (1.1%)

Memory
10.1MiB live, 168.7MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New5530553
Fresh000
Picked011
Done055
Total5536559
Accuracy
100.0%
Counts
559 → 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))
99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
95.6%
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
95.5%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
96.5%
(-.f32 #s(literal 1 binary32) ux)
71.7%
#s(literal 1 binary32)
Compiler

Compiled 152 to 72 computations (52.6% saved)

regimes16.0ms (0.2%)

Memory
-8.9MiB live, 29.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.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 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))
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Calls

4 calls:

5.0ms
uy
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
ux
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)

regimes8.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
Outputs
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

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

Compiled 22 to 16 computations (27.3% saved)

regimes20.0ms (0.3%)

Memory
-25.8MiB live, 15.5MiB 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:

15.0ms
ux
2.0ms
maxCos
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
Results
AccuracySegmentsBranch
96.5%1ux
96.5%1uy
96.5%1maxCos
96.5%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
11.6MiB live, 11.6MiB 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
71.7%1ux
71.7%1uy
71.7%1maxCos
71.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify5.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB 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
0816
11416
21716
31916
42016
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

soundness736.0ms (11.3%)

Memory
4.6MiB live, 360.2MiB allocated
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
5 316×lower-fma.f64
5 316×lower-fma.f32
5 076×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
021120
03973
119469
2192369
0813867
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 47 to 32 computations (31.9% saved)

preprocess64.0ms (1%)

Memory
-21.6MiB live, 57.0MiB allocated
Remove

(abs uy)

Compiler

Compiled 76 to 46 computations (39.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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