UniformSampleCone, z

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze96.0ms (1.5%)

Memory
8.0MiB live, 119.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
25%0%0.1%99.9%0%0%0%3
25%0%0.1%99.9%0%0%0%4
37.5%0%0.1%99.9%0%0%0%5
56.2%0.1%0%99.9%0%0%0%6
56.2%0.1%0%99.9%0%0%0%7
65.6%0.1%0%99.9%0%0%0%8
76.6%0.1%0%99.9%0%0%0%9
76.6%0.1%0%99.9%0%0%0%10
82%0.1%0%99.9%0%0%0%11
87.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.1s (17.1%)

Memory
64.7MiB live, 1 471.6MiB allocated
Samples
636.0ms8 173×0valid
9.0ms83×1valid
Precisions
Click to see histograms. Total time spent on operations: 444.0ms
const: 130.0ms (29.3% of total)
ival-<=: 123.0ms (27.7% of total)
ival-mult: 56.0ms (12.6% of total)
ival-sub: 52.0ms (11.7% of total)
ival-add: 42.0ms (9.5% of total)
ival-and: 28.0ms (6.3% of total)
exact: 8.0ms (1.8% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain62.0ms (1%)

Memory
-19.8MiB live, 98.4MiB 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
21.0ms506×0valid
0.0ms6×1valid
Compiler

Compiled 46 to 25 computations (45.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 3.0ms (32.3% of total)
ival-mult: 3.0ms (32.3% of total)
ival-sub: 2.0ms (21.6% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess61.0ms (1%)

Memory
30.5MiB live, 67.5MiB allocated
Algorithm
1×egg-herbie
Rules
384×lower-fma.f64
384×lower-fma.f32
348×sub-neg
248×cancel-sign-sub-inv
204×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

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

(abs uy)

Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

simplify241.0ms (3.9%)

Memory
-35.4MiB live, 19.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 ux maxCos)
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Rules
384×lower-fma.f64
384×lower-fma.f32
160×lower-*.f64
158×lower-*.f32
120×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11716
23516
36416
414316
529016
642616
746416
846916
046915
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
maxCos
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
maxCos

localize21.0ms (0.3%)

Memory
-12.9MiB live, 29.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0
(*.f32 ux maxCos)
accuracy0.03125
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms253×0valid
0.0ms3×1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.4% of total)
ival-add: 1.0ms (21.7% of total)
ival-sub: 1.0ms (21.7% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

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

simplify196.0ms (3.2%)

Memory
22.4MiB live, 173.5MiB allocated
Algorithm
1×egg-herbie
Rules
5 316×lower-fma.f64
5 316×lower-fma.f32
2 180×div-sub
2 012×lower-*.f64
2 012×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite235.0ms (3.8%)

Memory
9.4MiB live, 312.3MiB allocated
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
4 062×lower-*.f64
4 060×lower-*.f32
2 014×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14213
234313
3526813
0896812
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 311
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
Outputs
(neg.f32 (neg.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 maxCos) ux))
(+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(+.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux maxCos ux)))
(+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 maxCos (neg.f32 ux)))
(+.f32 (*.f32 ux maxCos) (+.f32 #s(literal 1 binary32) ux))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(+.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(+.f32 (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(+.f32 (*.f32 maxCos (neg.f32 ux)) (+.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(+.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux) (*.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32))
(fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 ux #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 ux (neg.f32 maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (+.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 1 binary32))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (*.f32 #s(literal 1 binary32) maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (exp.f32 (log.f32 maxCos)) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 maxCos ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 ux maxCos))
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(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 (neg.f32 ux) maxCos (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (*.f32 (fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 maxCos) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos ux) (*.f32 ux ux))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (*.f32 maxCos (neg.f32 ux)) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) ux (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 #s(literal -1 binary32) ux (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (*.f32 ux maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal -1 binary32) (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 ux (-.f32 ux (*.f32 maxCos (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))
(fma.f32 (neg.f32 maxCos) ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (+.f32 (neg.f32 maxCos) #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (*.f32 maxCos #s(literal 1 binary32)) ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 (neg.f32 maxCos) #s(literal 1 binary32)) ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux maxCos) (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 (/.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 ux maxCos))
(fma.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 maxCos (neg.f32 ux)))
(fma.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 ux maxCos))
(fma.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 maxCos (neg.f32 ux)))
(fma.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 ux maxCos))
(fma.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 maxCos (neg.f32 ux)))
(fma.f32 (exp.f32 (log1p.f32 (*.f32 ux (*.f32 ux ux)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))) (*.f32 ux maxCos))
(fma.f32 (exp.f32 (log1p.f32 (*.f32 ux (*.f32 ux ux)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (exp.f32 (log.f32 maxCos)) ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (exp.f32 (log1p.f32 (neg.f32 (*.f32 ux ux)))) (exp.f32 (neg.f32 (log1p.f32 ux))) (*.f32 ux maxCos))
(fma.f32 (exp.f32 (log1p.f32 (neg.f32 (*.f32 ux ux)))) (exp.f32 (neg.f32 (log1p.f32 ux))) (*.f32 maxCos (neg.f32 ux)))
(-.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 maxCos) ux))
(-.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos (neg.f32 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 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.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))) (-.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 ux maxCos)))
(-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (-.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 maxCos (neg.f32 ux))))
(-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 ux maxCos)))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux)) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos (neg.f32 ux))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux))) (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux)))
(-.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))))) (/.f32 (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos)))) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))))))
(-.f32 (fma.f32 ux maxCos (/.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 (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 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 0 binary32)) ux)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.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) (/.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))))))
(/.f32 #s(literal 1 binary32) (/.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))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))))
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(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
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(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
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(-.f32 #s(literal 1 binary32) ux)
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(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #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)) #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)

eval35.0ms (0.6%)

Memory
29.4MiB live, 66.3MiB allocated
Compiler

Compiled 8 169 to 762 computations (90.7% saved)

prune64.0ms (1%)

Memory
-17.6MiB live, 103.6MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3647371
Fresh000
Picked101
Done000
Total3657372
Accuracy
100.0%
Counts
372 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
▶99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
97.3%
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))))
▶98.8%
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
▶99.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
▶98.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶72.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 178 to 112 computations (37.1% saved)

simplify294.0ms (4.8%)

Memory
12.5MiB live, 333.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 ux)
cost-diff0
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
cost-diff64
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
cost-diff608
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.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))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
Rules
16 774×lower-fma.f64
16 768×lower-fma.f32
1 982×lower-*.f64
1 980×lower-*.f32
1 952×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020103
03187
15587
28087
312487
423987
546287
682487
7149887
8331487
9623387
0831187
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(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)
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
ux
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
maxCos
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
(+.f32 #s(literal -1 binary32) maxCos)
(+.f32 maxCos #s(literal -1 binary32))
#s(literal -1 binary32)
maxCos
#s(literal 1 binary32)
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
ux
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
maxCos

localize50.0ms (0.8%)

Memory
-15.4MiB live, 101.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f32 ux maxCos)
accuracy0
(neg.f32 ux)
accuracy0.03125
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
accuracy0.3828125
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
accuracy0
(+.f32 #s(literal -1 binary32) maxCos)
accuracy0.03515625
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.46300627783643117
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy8.896352175036094
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy0
(-.f32 #s(literal 1 binary32) ux)
accuracy0
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
accuracy0.03125
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
Samples
30.0ms253×0valid
1.0ms3×1valid
Compiler

Compiled 97 to 20 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 8.0ms (41.8% of total)
ival-mult: 6.0ms (31.4% of total)
ival-div: 2.0ms (10.5% of total)
ival-sub: 1.0ms (5.2% of total)
ival-neg: 1.0ms (5.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
12 → 228
Calls
Call 1
Inputs
#<alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))>
#<alt (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))>
#<alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))>
#<alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))>
#<alt (+.f32 #s(literal -1 binary32) maxCos)>
#<alt (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))>
#<alt (+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))>
#<alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))>
#<alt (neg.f32 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 (* 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 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 (- 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 (- 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 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* 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

57 calls:

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

simplify183.0ms (3%)

Memory
-10.2MiB live, 144.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 688×lower-fma.f64
6 688×lower-fma.f32
3 066×lower-*.f64
3 066×lower-*.f32
1 262×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0851239
12561220
26551220
318941201
444131200
567251200
081001082
Stop Event
1×iter limit
1×node limit
Counts
228 → 226
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* 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 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* 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 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* 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)

rewrite410.0ms (6.6%)

Memory
6.4MiB live, 430.2MiB allocated
Rules
7 364×lower-fma.f64
7 358×lower-fma.f32
4 196×lower-/.f64
4 194×lower-/.f32
3 774×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02084
03168
114068
2123968
0850968
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 799
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 #s(literal -1 binary32) maxCos)
(/.f32 (fma.f32 ux (neg.f32 ux) #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) ux)) (*.f32 ux maxCos))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
(*.f32 ux maxCos)
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 (*.f32 ux maxCos) ux) #s(literal 1 binary32))
(+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (/.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (-.f32 (*.f32 ux maxCos) ux))) (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)))))
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))))))
(+.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux)) (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux 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 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 maxCos ux (-.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) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 ux maxCos))
(fma.f32 (+.f32 maxCos #s(literal -1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 (*.f32 ux maxCos) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))))))
(fma.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux)) (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux))))
(fma.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (-.f32 (*.f32 ux maxCos) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))) (*.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 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 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 ux maxCos))
(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (fma.f32 ux (*.f32 maxCos (*.f32 ux maxCos)) (*.f32 ux (*.f32 ux maxCos))))) #s(literal 1 binary32))
(fma.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 maxCos (*.f32 ux maxCos)) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))) (neg.f32 ux))
(fma.f32 (*.f32 (+.f32 ux (*.f32 ux maxCos)) (-.f32 ux (*.f32 ux maxCos))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 ux) (*.f32 ux maxCos))) #s(literal 1 binary32))
(fma.f32 (fma.f32 ux (*.f32 maxCos (*.f32 ux maxCos)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal -1 binary32))) (neg.f32 ux))
(fma.f32 (*.f32 ux (fma.f32 maxCos (*.f32 maxCos maxCos) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos maxCos))) #s(literal 1 binary32))
(fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (*.f32 (fma.f32 maxCos (*.f32 maxCos maxCos) #s(literal -1 binary32)) ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos maxCos))) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(fma.f32 (/.f32 (neg.f32 (fma.f32 ux ux #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 ux maxCos))
(fma.f32 (/.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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) ux) (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
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(*.f32 (neg.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (-.f32 (*.f32 ux maxCos) ux)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)))))
(*.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux maxCos) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux))))))
(*.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux (*.f32 maxCos (*.f32 ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))))))))
(*.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 ux maxCos))))))
(*.f32 (neg.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 ux maxCos)) (*.f32 (-.f32 ux (*.f32 ux maxCos)) (-.f32 ux (*.f32 ux maxCos))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux (*.f32 ux maxCos)) (-.f32 ux (*.f32 ux maxCos)) (-.f32 ux (*.f32 ux maxCos))))))
(*.f32 (fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (fma.f32 ux maxCos #s(literal 1 binary32))) (neg.f32 (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (fma.f32 ux maxCos #s(literal 1 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (-.f32 (*.f32 ux maxCos) ux)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) ux))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 ux maxCos) ux) (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))))
(*.f32 (*.f32 (+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(neg.f32 (fma.f32 ux ux #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux ux)))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 ux)) (neg.f32 ux)))
(+.f32 (neg.f32 (*.f32 ux ux)) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))))
(pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux ux)) #s(literal 1 binary32))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) ux #s(literal 1 binary32))
(fma.f32 (neg.f32 (*.f32 ux ux)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(-.f32 #s(literal 0 binary32) (fma.f32 ux ux #s(literal -1 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (*.f32 ux ux)))) (/.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (*.f32 ux ux)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (*.f32 ux ux))) (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))))
(/.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(/.f32 (fma.f32 (neg.f32 (*.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) (*.f32 ux ux))))
(/.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))
(/.f32 (neg.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (neg.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))))
(/.f32 (neg.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (*.f32 ux ux)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 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) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))
(*.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))))
(*.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (*.f32 ux ux)))))
(*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))))
(*.f32 (neg.f32 (fma.f32 (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(neg.f32 ux)
(+.f32 #s(literal 0 binary32) (neg.f32 ux))
(-.f32 #s(literal 0 binary32) ux)
(-.f32 (/.f32 #s(literal 0 binary32) ux) (/.f32 (*.f32 ux ux) ux))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 ux ux #s(literal 0 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 ux (neg.f32 (*.f32 ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (neg.f32 (*.f32 ux (*.f32 ux ux)))))
(/.f32 (neg.f32 (*.f32 ux ux)) ux)
(/.f32 (neg.f32 (*.f32 ux ux)) (-.f32 #s(literal 0 binary32) (neg.f32 ux)))
(/.f32 (*.f32 ux ux) (neg.f32 ux))
(/.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux #s(literal 0 binary32)))
(/.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 0 binary32) (neg.f32 ux)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 ux (*.f32 ux ux)))) (neg.f32 (fma.f32 ux ux #s(literal 0 binary32))))
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(*.f32 ux #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) ux)
(*.f32 (neg.f32 ux) #s(literal 1 binary32))
(*.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux))
(*.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 ux maxCos))
(*.f32 ux maxCos)
(*.f32 maxCos ux)
(*.f32 (*.f32 ux maxCos) #s(literal 1 binary32))

eval92.0ms (1.5%)

Memory
10.6MiB live, 200.0MiB allocated
Compiler

Compiled 26 638 to 1 266 computations (95.2% saved)

prune137.0ms (2.2%)

Memory
-12.0MiB live, 235.3MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 14431 147
Fresh202
Picked145
Done000
Total1 14771 154
Accuracy
100.0%
Counts
1 154 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶97.5%
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))))
▶98.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
✓99.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
▶97.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
✓98.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓72.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify357.0ms (5.8%)

Memory
29.7MiB live, 409.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal -1 binary32) ux)
cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))
cost-diff0
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))))
cost-diff704
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)))
cost-diff0
(*.f32 ux ux)
cost-diff0
(neg.f32 (*.f32 ux ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
cost-diff672
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
cost-diff0
(-.f32 #s(literal -1 binary32) ux)
cost-diff0
(fma.f32 ux ux #s(literal -1 binary32))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
cost-diff544
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
Rules
24 908×lower-fma.f64
24 904×lower-fma.f32
3 612×lower-*.f64
3 608×lower-*.f32
1 396×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025121
035108
171108
2160108
3330108
4102778
5375778
6765678
0819575
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(fma.f32 ux ux #s(literal -1 binary32))
ux
#s(literal -1 binary32)
(-.f32 #s(literal -1 binary32) ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(neg.f32 (*.f32 ux ux))
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))
#s(literal 1 binary32)
(-.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
ux
(fma.f32 ux ux #s(literal -1 binary32))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux ux #s(literal -1 binary32))
ux
#s(literal -1 binary32)
(-.f32 #s(literal -1 binary32) ux)
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(neg.f32 (*.f32 ux ux))
(*.f32 ux (neg.f32 ux))
(*.f32 ux ux)
ux
(/.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #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)
#s(literal -1 binary32)
ux
(fma.f32 ux ux #s(literal -1 binary32))

localize78.0ms (1.3%)

Memory
-20.0MiB live, 136.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f32 #s(literal -1 binary32) ux)
accuracy0.109375
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)))
accuracy0.33984375
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))
accuracy0.44347502783643117
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))))
accuracy0
(*.f32 ux ux)
accuracy0
(neg.f32 (*.f32 ux ux))
accuracy0.04591752930532605
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy0.44347502783643117
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
accuracy0
(fma.f32 ux ux #s(literal -1 binary32))
accuracy0
(-.f32 #s(literal -1 binary32) ux)
accuracy0.37890625
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
accuracy0.44347502783643117
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
Samples
40.0ms251×0valid
10.0ms5×5exit
Compiler

Compiled 98 to 26 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 12.0ms (31.3% of total)
adjust: 8.0ms (20.9% of total)
ival-div: 7.0ms (18.2% of total)
ival-add: 7.0ms (18.2% of total)
ival-sub: 2.0ms (5.2% of total)
ival-neg: 2.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
11 → 168
Calls
Call 1
Inputs
#<alt (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))>
#<alt #s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))>
#<alt (fma.f32 ux ux #s(literal -1 binary32))>
#<alt (-.f32 #s(literal -1 binary32) ux)>
#<alt (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))>
#<alt #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))>
#<alt (neg.f32 (*.f32 ux ux))>
#<alt (*.f32 ux ux)>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)))>
#<alt #s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 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 (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt -1>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* 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 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (pow ux 2))>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt -1>
#<alt (- ux 1)>
#<alt (- (* ux (+ 1 (* -1 ux))) 1)>
#<alt (- (* ux (+ 1 (* ux (- ux 1)))) 1)>
#<alt (/ -1 ux)>
#<alt (/ (- (/ 1 ux) 1) ux)>
#<alt (/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)>
#<alt (/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (- 1 (/ 1 ux)) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))>
Calls

42 calls:

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

simplify221.0ms (3.6%)

Memory
-32.7MiB live, 179.5MiB allocated
Algorithm
1×egg-herbie
Rules
6 628×lower-fma.f64
6 628×lower-fma.f32
2 510×lower-*.f64
2 510×lower-*.f32
1 366×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095927
1279909
2736900
32239876
46169875
08109809
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
-1
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(* -1 (pow ux 2))
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
-1
(- ux 1)
(- (* ux (+ 1 (* -1 ux))) 1)
(- (* ux (+ 1 (* ux (- ux 1)))) 1)
(/ -1 ux)
(/ (- (/ 1 ux) 1) ux)
(/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)
(/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)
(/ -1 ux)
(* -1 (/ (- 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 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)
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* 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 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
-1
#s(literal -1 binary32)
(- ux 1)
(+.f32 #s(literal -1 binary32) ux)
(- (* ux (+ 1 (* -1 ux))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(- (* ux (+ 1 (* ux (- ux 1)))) 1)
(*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ (- (/ 1 ux) 1) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)
(/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (- 1 (/ 1 ux)) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) ux)

rewrite241.0ms (3.9%)

Memory
5.7MiB live, 439.7MiB allocated
Rules
7 142×lower-fma.f64
7 138×lower-fma.f32
3 160×lower-/.f64
3 154×lower-/.f32
2 674×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025104
03591
117661
2160261
0996358
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 1 001
Calls
Call 1
Inputs
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(fma.f32 ux ux #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) ux)
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(neg.f32 (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)))
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))
Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) #s(literal -1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 #s(literal 0 binary32) (+.f32 ux #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (*.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32)))))
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (*.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))))
(pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal -1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (*.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
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(*.f32 (/.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 ux #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(*.f32 (pow.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (pow.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (pow.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (+.f32 ux #s(literal 1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 ux #s(literal -1 binary32))) #s(literal -1 binary32)))
(pow.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32))
(pow.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 ux #s(literal -1 binary32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(-.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 ux (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))))
(-.f32 (/.f32 ux (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))
(/.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))))
(/.f32 (neg.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 ux #s(literal -1 binary32)))
(*.f32 (pow.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) #s(literal -1 binary32)))

eval120.0ms (1.9%)

Memory
29.1MiB live, 300.7MiB allocated
Compiler

Compiled 27 004 to 1 590 computations (94.1% saved)

prune140.0ms (2.3%)

Memory
-27.0MiB live, 433.0MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 39211 393
Fresh000
Picked123
Done044
Total1 39371 400
Accuracy
100.0%
Counts
1 400 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶98.5%
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
✓97.5%
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))))
✓99.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
✓97.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
✓98.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓72.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 69 to 46 computations (33.3% saved)

simplify318.0ms (5.2%)

Memory
13.2MiB live, 274.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal -1 binary32) ux)
cost-diff0
(*.f32 ux ux)
cost-diff0
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
cost-diff608
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
Rules
14 684×lower-fma.f64
14 682×lower-fma.f32
3 632×lower-*.f64
3 630×lower-*.f32
1 520×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
01940
13539
24839
37131
411829
524229
679723
7323623
8576823
0865022
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(*.f32 ux ux)
ux
(/.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
#s(literal 1 binary32)
Outputs
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux ux)
ux
(/.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
#s(literal 1 binary32)

localize42.0ms (0.7%)

Memory
-5.3MiB live, 80.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f32 #s(literal -1 binary32) ux)
accuracy0
(*.f32 ux ux)
accuracy0.04591752930532605
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
accuracy0.44347502783643117
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
Samples
28.0ms251×0valid
2.0ms5×5exit
Compiler

Compiled 34 to 18 computations (47.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 11.0ms (50.1% of total)
ival-add: 5.0ms (22.8% of total)
ival-div: 3.0ms (13.7% of total)
adjust: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))>
#<alt #s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))>
#<alt (*.f32 ux ux)>
#<alt (/.f32 #s(literal -1 binary32) ux)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<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 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
Calls

15 calls:

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

simplify188.0ms (3%)

Memory
1.8MiB live, 159.9MiB allocated
Algorithm
1×egg-herbie
Rules
5 168×lower-fma.f64
5 168×lower-fma.f32
1 936×lower-*.f64
1 936×lower-*.f32
1 846×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048369
1141350
2379350
31111332
43122330
54428330
65038330
75449330
85552330
95570330
107100330
117820330
127966330
08068302
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(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 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
(/ -1 ux)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(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 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)

rewrite222.0ms (3.6%)

Memory
-32.4MiB live, 228.7MiB allocated
Rules
7 584×lower-fma.f64
7 582×lower-fma.f32
3 110×lower-*.f64
3 108×lower-*.f32
2 564×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01537
01937
19430
277620
01049919
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 262
Calls
Call 1
Inputs
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
(*.f32 ux ux)
(/.f32 #s(literal -1 binary32) ux)
Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) #s(literal -1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(+.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux ux)))
(+.f32 (*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux ux)) (*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (*.f32 (fma.f32 ux ux ux) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))))
(+.f32 (*.f32 (fma.f32 ux ux ux) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 ux (/.f32 ux ux) #s(literal 1 binary32))
(fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux ux) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) #s(literal 1 binary32))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (fma.f32 ux ux ux) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))))
(fma.f32 (fma.f32 ux ux ux) (/.f32 ux (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 ux ux) ux #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (/.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))) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux ux)))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux ux) (*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal -1 binary32)))) (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal -1 binary32)))) (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32))) (/.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32))) (/.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux ux)))
(fma.f32 (/.f32 ux (fma.f32 ux ux #s(literal 1 binary32))) (fma.f32 ux ux ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
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(*.f32 (/.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 ux ux)))
(*.f32 #s(literal 1 binary32) (*.f32 ux ux))
(*.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (/.f32 (/.f32 #s(literal -1 binary32) ux) ux))
(*.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) ux))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (/.f32 (/.f32 #s(literal -1 binary32) ux) ux)))
(*.f32 (/.f32 ux ux) (*.f32 ux ux))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))
(*.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) ux) (*.f32 ux (*.f32 ux ux)))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) ux) (*.f32 ux (*.f32 ux ux))) ux)
(neg.f32 (/.f32 #s(literal -1 binary32) ux))
(exp.f32 (*.f32 (log.f32 ux) #s(literal -1 binary32)))
(pow.f32 ux #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) ux))
(/.f32 ux (*.f32 ux ux))
(/.f32 #s(literal -1 binary32) ux)
(/.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) ux)
(/.f32 (/.f32 ux ux) ux)
(*.f32 ux (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux))
(*.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 ux ux))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))
(*.f32 (/.f32 ux ux) (/.f32 #s(literal -1 binary32) ux))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)
(*.f32 (pow.f32 ux #s(literal -1/2 binary32)) (pow.f32 ux #s(literal -1/2 binary32)))

eval27.0ms (0.4%)

Memory
8.0MiB live, 53.1MiB allocated
Compiler

Compiled 6 203 to 538 computations (91.3% saved)

prune42.0ms (0.7%)

Memory
14.4MiB live, 88.1MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New3220322
Fresh000
Picked011
Done066
Total3227329
Accuracy
100.0%
Counts
329 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓98.5%
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
✓97.5%
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux ux #s(literal -1 binary32))))
✓99.9%
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
✓97.5%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
✓98.6%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓72.2%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 186 to 83 computations (55.4% saved)

regimes40.0ms (0.7%)

Memory
-6.4MiB live, 30.2MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
#s(approx (+ (/ (+ (* ux (neg ux)) 1) (+ 1 ux)) (* ux maxCos)) (*.f32 (/.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)) (+.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 ux maxCos))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
Calls

4 calls:

27.0ms
uy
4.0ms
ux
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

2.0ms
ux
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
maxCos
2.0ms
uy
Results
AccuracySegmentsBranch
98.6%1ux
98.6%1uy
98.6%1maxCos
98.6%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes39.0ms (0.6%)

Memory
-38.1MiB live, 10.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

35.0ms
ux
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
1.0ms
maxCos
Results
AccuracySegmentsBranch
72.2%1ux
72.2%1uy
72.2%1maxCos
72.2%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
1×egg-herbie
Rules
4×sub-neg_binary32
4×+-commutative_binary32
2×*-commutative_binary32
2×neg-sub0_binary32
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
11634
22034
32234
42334
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

soundness808.0ms (13.1%)

Memory
6.3MiB live, 158.1MiB allocated
Rules
5 316×lower-fma.f64
5 316×lower-fma.f32
2 180×div-sub
2 012×lower-*.f64
2 012×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 26 to 15 computations (42.3% saved)

preprocess19.0ms (0.3%)

Memory
4.2MiB live, 42.4MiB allocated
Remove

(abs uy)

Compiler

Compiled 72 to 38 computations (47.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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