UniformSampleCone, z

Time bar (total: 9.1s)

analyze74.0ms (0.8%)

Memory
34.7MiB live, 112.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
25%0%0.1%99.9%0%0%0%3
25%0%0.1%99.9%0%0%0%4
37.5%0%0.1%99.9%0%0%0%5
56.2%0.1%0%99.9%0%0%0%6
56.2%0.1%0%99.9%0%0%0%7
65.6%0.1%0%99.9%0%0%0%8
76.6%0.1%0%99.9%0%0%0%9
76.6%0.1%0%99.9%0%0%0%10
82%0.1%0%99.9%0%0%0%11
87.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (11.5%)

Memory
61.0MiB live, 1 389.4MiB allocated
Samples
639.0ms8 170×0valid
9.0ms86×1valid
Precisions
Click to see histograms. Total time spent on operations: 452.0ms
const: 137.0ms (30.3% of total)
ival-<=: 121.0ms (26.8% of total)
ival-add: 59.0ms (13.1% of total)
ival-sub: 48.0ms (10.6% of total)
ival-mult: 47.0ms (10.4% of total)
ival-and: 28.0ms (6.2% of total)
exact: 8.0ms (1.8% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess64.0ms (0.7%)

Memory
12.2MiB live, 49.1MiB 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)

explain64.0ms (0.7%)

Memory
-16.8MiB live, 100.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34% of total)
ival-sub: 2.0ms (22.6% of total)
ival-add: 2.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

simplify22.0ms (0.2%)

Memory
-8.3MiB live, 28.9MiB 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

localize17.0ms (0.2%)

Memory
27.5MiB live, 27.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy100.0%
(*.f32 ux maxCos)
✓accuracy99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms256×0valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (23.3% of total)
ival-add: 1.0ms (23.3% of total)
ival-mult: 1.0ms (23.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series239.0ms (2.6%)

Memory
-49.8MiB live, 5.4MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt (*.f32 ux maxCos)>
Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
Calls

15 calls:

TimeVariablePointExpression
236.0ms
maxCos
@-inf
(* ux maxCos)
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))

rewrite279.0ms (3.1%)

Memory
48.8MiB live, 392.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
4 062×lower-*.f64
4 060×lower-*.f32
2 014×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

simplify247.0ms (2.7%)

Memory
24.4MiB live, 248.8MiB 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)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)

eval45.0ms (0.5%)

Memory
-15.5MiB live, 67.8MiB allocated
Compiler

Compiled 8 109 to 762 computations (90.6% saved)

prune62.0ms (0.7%)

Memory
-11.2MiB live, 100.8MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3674371
Fresh000
Picked011
Done000
Total3675372
Accuracy
100.0%
Counts
372 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.8%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
▶98.0%
(-.f32 #s(literal 1 binary32) ux)
▶98.3%
(+.f32 (/.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 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶70.7%
#s(literal 1 binary32)
Compiler

Compiled 110 to 46 computations (58.2% saved)

simplify431.0ms (4.7%)

Memory
4.7MiB live, 403.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
✓cost-diff128
(*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
✓cost-diff160
(*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
✓cost-diff256
(-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff64
(-.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))))
✓cost-diff64
(+.f32 (/.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 ux maxCos))
✓cost-diff192
(*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
✓cost-diff352
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
Rules
11 378×lower-fma.f64
11 378×lower-fma.f32
3 824×lower-*.f64
3 808×lower-*.f32
2 792×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026328
048308
1107278
2284278
31101270
44243256
08496242
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 (/.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 ux maxCos))
(/.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 #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 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
(+.f32 #s(literal 1 binary32) ux)
ux
(*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux ux)
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux maxCos)
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
#s(literal 1 binary32)
(*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
ux
(-.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
maxCos
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))))
(-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
(*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
Outputs
#s(literal 1 binary32)
(+.f32 (/.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 ux maxCos))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32)))))
(/.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 (fma.f32 ux (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32))))
(-.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))))
(fma.f32 ux (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
(+.f32 #s(literal 1 binary32) ux)
ux
(*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux 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 #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))
(*.f32 ux maxCos)
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
(/.f32 (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 (fma.f32 ux maxCos ux) (fma.f32 ux maxCos ux))) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (*.f32 (fma.f32 ux maxCos ux) (fma.f32 ux maxCos ux))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 (fma.f32 ux maxCos ux) (fma.f32 ux maxCos ux)))
(*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(*.f32 (fma.f32 ux maxCos ux) (fma.f32 ux maxCos ux))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
ux
(-.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
maxCos
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))))
(fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
(*.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))
(*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))

localize94.0ms (1%)

Memory
13.8MiB live, 207.8MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
✓accuracy99.7%
(*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
✓accuracy99.1%
(*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
✓accuracy98.9%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy98.9%
(/.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))))
✓accuracy98.8%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
✓accuracy98.8%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
✓accuracy98.5%
(*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
Samples
47.0ms250×0valid
4.0ms6×5exit
Compiler

Compiled 330 to 29 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 14.0ms (38.1% of total)
ival-div: 8.0ms (21.8% of total)
ival-add: 7.0ms (19.1% of total)
ival-sub: 4.0ms (10.9% of total)
adjust: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory
-16.5MiB live, 70.0MiB allocated
Counts
15 → 276
Calls
Call 1
Inputs
#<alt (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))>
#<alt (*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))>
#<alt (+.f32 (/.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 ux maxCos))>
#<alt (-.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))))>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))>
#<alt (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))>
#<alt (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))>
#<alt (/.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))))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))>
#<alt (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))>
#<alt (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- (* 2 ux) 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 2 (* -2 ux))) 1)))>
#<alt ux>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 2 (pow ux 2))) (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 2 (pow ux 2))) (+ (/ 1 ux) (* 2 (/ 1 (pow ux 3))))))>
#<alt ux>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (* 2 (/ 1 ux)) 1) ux)) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) ux)) 1) ux)) 1)))>
#<alt (pow ux 4)>
#<alt (* (pow ux 4) (+ 1 (* -2 ux)))>
#<alt (* (pow ux 4) (+ 1 (* ux (- (* 3 ux) 2))))>
#<alt (* (pow ux 4) (+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))>
#<alt (- (+ (* maxCos ux) (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))>
#<alt (- (+ (* maxCos ux) (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))>
#<alt (- (+ (* maxCos ux) (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))) (/ (pow ux 4) (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))) (/ (pow ux 4) (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))) (/ (pow ux 4) (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) maxCos)))))>
#<alt 1>
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#<alt (+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))>
#<alt (* -1 (pow ux 2))>
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#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))>
#<alt (* (pow ux 2) (- (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3)))) (+ 1 (/ 3 (pow ux 2)))))>
#<alt (* -1 (pow ux 2))>
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#<alt (* (pow ux 2) (- (* -1 (/ (- (* 3 (/ 1 ux)) 2) ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 ux)) 3) ux)) 2) ux)) 1))>
#<alt 1>
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#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
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#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* ux (+ 1 maxCos))>
#<alt (* ux (- (* ux (pow (+ 1 maxCos) 2)) (* -1 (+ 1 maxCos))))>
#<alt (* ux (- (* ux (pow (+ 1 maxCos) 2)) (* -1 (+ 1 maxCos))))>
#<alt (* ux (- (* ux (pow (+ 1 maxCos) 2)) (* -1 (+ 1 maxCos))))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))>
#<alt (* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))>
#<alt (* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))>
#<alt (* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))>
#<alt (* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))>
#<alt (- (pow ux 2) (* -1 ux))>
#<alt (- (+ (* maxCos (- (* 2 (pow ux 2)) (* -1 ux))) (pow ux 2)) (* -1 ux))>
#<alt (- (+ (* maxCos (- (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))) (* -1 ux))) (pow ux 2)) (* -1 ux))>
#<alt (- (+ (* maxCos (- (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))) (* -1 ux))) (pow ux 2)) (* -1 ux))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (- (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)) (* -1 (/ ux maxCos))))>
#<alt (* (pow maxCos 2) (- (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))) (+ (* -1 (/ ux maxCos)) (* -1 (/ ux (pow maxCos 2))))))>
#<alt (* (pow maxCos 2) (- (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))) (+ (* -1 (/ ux maxCos)) (* -1 (/ ux (pow maxCos 2))))))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (- (* -2 (pow ux 2)) ux) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 (pow ux 2)) (* -1 (/ (- (pow ux 2) (* -1 ux)) maxCos))) ux) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 (pow ux 2)) (* -1 (/ (- (pow ux 2) (* -1 ux)) maxCos))) ux) maxCos)) (pow ux 2)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
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#<alt (* -1 (* ux (+ 1 maxCos)))>
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#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 ux)>
#<alt (+ (* -1 ux) (* -1 (* maxCos ux)))>
#<alt (+ (* -1 ux) (* -1 (* maxCos ux)))>
#<alt (+ (* -1 ux) (* -1 (* maxCos ux)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))>
#<alt (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))>
#<alt (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos (+ ux (/ ux maxCos))))>
#<alt (* -1 (* maxCos (+ ux (/ ux maxCos))))>
#<alt (* -1 (* maxCos (+ ux (/ ux maxCos))))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
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#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (+ 1 maxCos) 2))>
#<alt (pow ux 2)>
#<alt (+ (* 2 (* maxCos (pow ux 2))) (pow ux 2))>
#<alt (+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))>
#<alt (+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))>
#<alt 1>
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#<alt (+ 1 (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3))))>
#<alt (+ 1 (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3))))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* (pow ux 3) (+ (* -1 (pow (+ 1 maxCos) 3)) (/ 1 (pow ux 3))))>
#<alt (* (pow ux 3) (+ (* -1 (pow (+ 1 maxCos) 3)) (/ 1 (pow ux 3))))>
#<alt (* (pow ux 3) (+ (* -1 (pow (+ 1 maxCos) 3)) (/ 1 (pow ux 3))))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (- (pow (+ 1 maxCos) 3) (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- (pow (+ 1 maxCos) 3) (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- (pow (+ 1 maxCos) 3) (/ 1 (pow ux 3)))))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (+ (* -3 (* maxCos (pow ux 3))) (* -1 (pow ux 3))))>
#<alt (+ 1 (+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (* maxCos (pow ux 3))) (* -3 (pow ux 3))))))>
#<alt (+ 1 (+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* -1 (* maxCos (pow ux 3)))))))))>
#<alt (* -1 (* (pow maxCos 3) (pow ux 3)))>
#<alt (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3))))>
#<alt (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (* -1 (pow ux 3)))))>
#<alt (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (/ (pow ux 3) (pow maxCos 3))) (+ (* -1 (pow ux 3)) (/ 1 (pow maxCos 3)))))))>
#<alt (* -1 (* (pow maxCos 3) (pow ux 3)))>
#<alt (* -1 (* (pow maxCos 3) (+ (* 3 (/ (pow ux 3) maxCos)) (pow ux 3))))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (/ (pow ux 3) maxCos)) (* -3 (pow ux 3))) maxCos)) (pow ux 3))))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (pow ux 3)) (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow ux 3))) maxCos)) (* 3 (pow ux 3))) maxCos))) maxCos)) (pow ux 3))))>
#<alt 1>
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#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (pow ux 2)>
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#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt 1>
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#<alt (+ 1 (* ux (- (* 3 ux) 2)))>
#<alt (+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ (- 1 (* 2 (/ 1 ux))) (pow ux 2))>
#<alt (/ (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))) (pow ux 2))>
#<alt (/ (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))) (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ (- 1 (* 2 (/ 1 ux))) (pow ux 2))>
#<alt (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))) (pow ux 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))) (pow ux 2))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
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#<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>
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#<alt (+ 1 (* ux (- (* -1 (* ux (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))>
#<alt (+ 1 (* ux (- (* ux (- (* ux (* (+ 1 maxCos) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))>
#<alt (* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))>
#<alt (* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (- (+ 1 maxCos) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 maxCos) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 maxCos) (/ 1 ux))))>
#<alt (/ (+ 1 (* -1 (pow ux 3))) (- (+ 1 (pow ux 2)) (* -1 ux)))>
#<alt (+ (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (* maxCos (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (/ 1 (- (+ 1 (pow ux 2)) (* -1 ux)))))>
#<alt (+ (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (* maxCos (- (+ (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (* maxCos (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (+ 1 (* -1 (pow ux 3)))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (/ 1 (- (+ 1 (pow ux 2)) (* -1 ux)))))>
#<alt (+ (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (* maxCos (- (+ (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (* maxCos (- (+ (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (* maxCos (- (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (+ 1 (* -1 (pow ux 3)))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (- (+ 1 (pow ux 2)) (* -1 ux))))))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (+ 1 (* -1 (pow ux 3)))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (/ 1 (- (+ 1 (pow ux 2)) (* -1 ux)))))>
#<alt (* -1 (* maxCos ux))>
#<alt (* maxCos (- (+ (* -3 (/ ux maxCos)) (* -1 ux)) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) (* maxCos ux)))))>
#<alt (* maxCos (- (+ (* -3 (/ ux maxCos)) (+ (* -3 (/ ux (pow maxCos 2))) (* -1 ux))) (+ (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) (* maxCos ux))) (+ (* -1 (/ (- (+ 1 (pow ux 2)) (* -1 ux)) (* (pow maxCos 2) ux))) (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (* 2 (pow ux 2)) (* -1 ux))) (* (pow maxCos 2) (pow ux 2)))))))>
#<alt (* maxCos (- (+ (* -3 (/ ux maxCos)) (+ (* -3 (/ ux (pow maxCos 2))) (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 3))) (/ 1 (* (pow maxCos 3) (pow ux 2))))))) (+ (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) (* maxCos ux))) (+ (* -1 (/ (- (+ 1 (pow ux 2)) (* -1 ux)) (* (pow maxCos 2) ux))) (+ (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (* 2 (pow ux 2)) (* -1 ux))) (* (pow maxCos 2) (pow ux 2))) (+ (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (* (pow maxCos 3) (pow ux 2))) (/ (* (- (* -3 ux) (+ (* -1 (/ (- (+ 1 (pow ux 2)) (* -1 ux)) ux)) (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow ux 2)))) (- (* 2 (pow ux 2)) (* -1 ux))) (* (pow maxCos 3) (pow ux 2)))))))))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (* -3 ux)) (* -2 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -3 ux) (* -1 (/ (- (* 3 ux) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (- (* -2 (pow ux 2)) ux) (- (+ 1 (* -3 ux)) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -3 ux) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 ux) (/ 1 (pow ux 2))) (+ (/ (* (- (* -2 (pow ux 2)) ux) (- (* 3 ux) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (- (* -2 (pow ux 2)) ux) (- (+ 1 (* -3 ux)) (* -2 ux))) (pow ux 2))))))) (pow ux 2)) (/ (* (- (+ 1 (* -3 ux)) (* -2 ux)) (- (+ 1 (pow ux 2)) (* -1 ux))) (pow ux 2)))) maxCos)) (* 3 ux)) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (- (* -2 (pow ux 2)) ux) (- (+ 1 (* -3 ux)) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (+ (* -3 (* maxCos (pow ux 3))) (* -1 (pow ux 3)))>
#<alt (+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (* maxCos (pow ux 3))) (* -3 (pow ux 3)))))>
#<alt (+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* -1 (* maxCos (pow ux 3))))))))>
#<alt (* -1 (* (pow maxCos 3) (pow ux 3)))>
#<alt (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3))))>
#<alt (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (* -1 (pow ux 3)))))>
#<alt (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (/ (pow ux 3) (pow maxCos 3))) (* -1 (pow ux 3))))))>
#<alt (* -1 (* (pow maxCos 3) (pow ux 3)))>
#<alt (* -1 (* (pow maxCos 3) (+ (* 3 (/ (pow ux 3) maxCos)) (pow ux 3))))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (/ (pow ux 3) maxCos)) (* -3 (pow ux 3))) maxCos)) (pow ux 3))))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (pow ux 3)) (* -1 (/ (+ (* 3 (pow ux 3)) (/ (pow ux 3) maxCos)) maxCos))) maxCos)) (pow ux 3))))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 (* ux (+ 1 maxCos)))>
#<alt (* -1 ux)>
#<alt (+ (* -1 ux) (* -1 (* maxCos ux)))>
#<alt (+ (* -1 ux) (* -1 (* maxCos ux)))>
#<alt (+ (* -1 ux) (* -1 (* maxCos ux)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))>
#<alt (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))>
#<alt (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos (+ ux (/ ux maxCos))))>
#<alt (* -1 (* maxCos (+ ux (/ ux maxCos))))>
#<alt (* -1 (* maxCos (+ ux (/ ux maxCos))))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
maxCos
@0
(+ (/ (- (/ 1 (* (+ 1 ux) (+ 1 ux))) (* (/ (* ux ux) (+ 1 ux)) (/ (* ux ux) (+ 1 ux)))) (+ (/ 1 (+ 1 ux)) (/ (* ux ux) (+ 1 ux)))) (* ux maxCos))
3.0ms
ux
@inf
(/ (- (/ 1 (* (+ 1 ux) (+ 1 ux))) (* (/ (* ux ux) (+ 1 ux)) (/ (* ux ux) (+ 1 ux)))) (+ (/ 1 (+ 1 ux)) (/ (* ux ux) (+ 1 ux))))
2.0ms
maxCos
@0
(- (* (* ux (- -1 maxCos)) (* ux (- -1 maxCos))) (* 1 (* ux (- -1 maxCos))))
2.0ms
maxCos
@0
(/ (+ 1 (* (* (* ux (- -1 maxCos)) (* ux (- -1 maxCos))) (* ux (- -1 maxCos)))) (+ 1 (- (* (* ux (- -1 maxCos)) (* ux (- -1 maxCos))) (* 1 (* ux (- -1 maxCos))))))
1.0ms
maxCos
@inf
(/ (+ 1 (* (* (* ux (- -1 maxCos)) (* ux (- -1 maxCos))) (* ux (- -1 maxCos)))) (+ 1 (- (* (* ux (- -1 maxCos)) (* ux (- -1 maxCos))) (* 1 (* ux (- -1 maxCos))))))

rewrite455.0ms (5%)

Memory
27.9MiB live, 606.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 682×lower-fma.f64
6 682×lower-fma.f32
4 226×lower-/.f64
4 216×lower-/.f32
3 568×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026273
048163
1246125
22484107
08818103
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 899
Calls
Call 1
Inputs
(+.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) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.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 ux maxCos))
(-.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 #s(literal 1 binary32) ux)
(-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
(*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (/.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 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
(*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
Outputs
(+.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) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(pow.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux ux ux) ux (+.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.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))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (pow.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 ux ux) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 ux (neg.f32 ux)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) ux (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) ux (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (pow.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.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) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))) (fma.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (*.f32 (*.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) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))) (fma.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32)))))
(-.f32 (/.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux ux ux) ux (+.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.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 (*.f32 (*.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) ux))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux ux ux) ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.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 (fma.f32 (fma.f32 ux ux ux) ux (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (*.f32 (*.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))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
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(*.f32 (pow.f32 (*.f32 (-.f32 #s(literal -1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 3/2 binary32)) (*.f32 ux (*.f32 ux ux)))
(*.f32 (pow.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) #s(literal 1 binary32)))
(+.f32 (neg.f32 ux) (*.f32 (neg.f32 maxCos) ux))
(+.f32 (*.f32 ux #s(literal -1 binary32)) (*.f32 ux (neg.f32 maxCos)))
(pow.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(fma.f32 ux #s(literal -1 binary32) (*.f32 ux (neg.f32 maxCos)))
(fma.f32 #s(literal -1 binary32) ux (*.f32 (neg.f32 maxCos) ux))
(/.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (fma.f32 maxCos (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) ux) (fma.f32 maxCos (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 maxCos #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))))) (neg.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (+.f32 maxCos #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) ux)) (neg.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux)) (neg.f32 (+.f32 maxCos #s(literal -1 binary32))))
(/.f32 (fma.f32 (*.f32 ux ux) (neg.f32 ux) (pow.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 3 binary32))) (fma.f32 ux ux (-.f32 (*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (neg.f32 maxCos) ux)) (*.f32 (neg.f32 ux) (*.f32 (neg.f32 maxCos) ux)))))
(/.f32 (+.f32 (pow.f32 (*.f32 ux #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 ux (neg.f32 maxCos)) #s(literal 3 binary32))) (fma.f32 (*.f32 ux #s(literal -1 binary32)) (*.f32 ux #s(literal -1 binary32)) (-.f32 (*.f32 (*.f32 ux (neg.f32 maxCos)) (*.f32 ux (neg.f32 maxCos))) (*.f32 (*.f32 ux #s(literal -1 binary32)) (*.f32 ux (neg.f32 maxCos))))))
(*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)))
(*.f32 ux (pow.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)))
(*.f32 ux (pow.f32 (*.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)
(*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) maxCos)) ux)
(*.f32 (pow.f32 (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32)) ux)

simplify363.0ms (4%)

Memory
-14.9MiB live, 608.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 912×lower-fma.f64
7 912×lower-fma.f32
5 062×lower-*.f64
5 062×lower-*.f32
2 988×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04744163
115583713
253513591
082403376
Stop Event
1×iter limit
1×node limit
Counts
276 → 274
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- (* 2 ux) 1)))
(+ 1 (* ux (- (* ux (+ 2 (* -2 ux))) 1)))
ux
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (+ (/ 1 ux) (* 2 (/ 1 (pow ux 3))))))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (* 2 (/ 1 ux)) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) ux)) 1) ux)) 1)))
(pow ux 4)
(* (pow ux 4) (+ 1 (* -2 ux)))
(* (pow ux 4) (+ 1 (* ux (- (* 3 ux) 2))))
(* (pow ux 4) (+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))
(- (+ (* maxCos ux) (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))
(- (+ (* maxCos ux) (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))
(- (+ (* maxCos ux) (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))) (/ (pow ux 4) (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))) (/ (pow ux 4) (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))) (/ (pow ux 4) (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) maxCos)))))
1
(+ 1 (* -2 ux))
(+ 1 (* ux (- (* 3 ux) 2)))
(+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(* (pow ux 2) (- (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3)))) (+ 1 (/ 3 (pow ux 2)))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* -1 (/ (- (* 3 (/ 1 ux)) 2) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 ux)) 3) ux)) 2) ux)) 1))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* ux (+ 1 maxCos))
(* ux (- (* ux (pow (+ 1 maxCos) 2)) (* -1 (+ 1 maxCos))))
(* ux (- (* ux (pow (+ 1 maxCos) 2)) (* -1 (+ 1 maxCos))))
(* ux (- (* ux (pow (+ 1 maxCos) 2)) (* -1 (+ 1 maxCos))))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(- (pow ux 2) (* -1 ux))
(- (+ (* maxCos (- (* 2 (pow ux 2)) (* -1 ux))) (pow ux 2)) (* -1 ux))
(- (+ (* maxCos (- (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))) (* -1 ux))) (pow ux 2)) (* -1 ux))
(- (+ (* maxCos (- (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))) (* -1 ux))) (pow ux 2)) (* -1 ux))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (- (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)) (* -1 (/ ux maxCos))))
(* (pow maxCos 2) (- (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))) (+ (* -1 (/ ux maxCos)) (* -1 (/ ux (pow maxCos 2))))))
(* (pow maxCos 2) (- (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))) (+ (* -1 (/ ux maxCos)) (* -1 (/ ux (pow maxCos 2))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (- (* -2 (pow ux 2)) ux) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 (pow ux 2)) (* -1 (/ (- (pow ux 2) (* -1 ux)) maxCos))) ux) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (+ (* -2 (pow ux 2)) (* -1 (/ (- (pow ux 2) (* -1 ux)) maxCos))) ux) maxCos)) (pow ux 2)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 ux)
(+ (* -1 ux) (* -1 (* maxCos ux)))
(+ (* -1 ux) (* -1 (* maxCos ux)))
(+ (* -1 ux) (* -1 (* maxCos ux)))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))
(* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))
(* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (/ ux maxCos))))
(* -1 (* maxCos (+ ux (/ ux maxCos))))
(* -1 (* maxCos (+ ux (/ ux maxCos))))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(pow ux 2)
(+ (* 2 (* maxCos (pow ux 2))) (pow ux 2))
(+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))
1
(+ 1 (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3))))
(+ 1 (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3))))
(+ 1 (* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* (pow ux 3) (+ (* -1 (pow (+ 1 maxCos) 3)) (/ 1 (pow ux 3))))
(* (pow ux 3) (+ (* -1 (pow (+ 1 maxCos) 3)) (/ 1 (pow ux 3))))
(* (pow ux 3) (+ (* -1 (pow (+ 1 maxCos) 3)) (/ 1 (pow ux 3))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (- (pow (+ 1 maxCos) 3) (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- (pow (+ 1 maxCos) 3) (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- (pow (+ 1 maxCos) 3) (/ 1 (pow ux 3)))))
(+ 1 (* -1 (pow ux 3)))
(+ 1 (+ (* -3 (* maxCos (pow ux 3))) (* -1 (pow ux 3))))
(+ 1 (+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (* maxCos (pow ux 3))) (* -3 (pow ux 3))))))
(+ 1 (+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* -1 (* maxCos (pow ux 3)))))))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (* -1 (pow ux 3)))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (/ (pow ux 3) (pow maxCos 3))) (+ (* -1 (pow ux 3)) (/ 1 (pow maxCos 3)))))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* -1 (* (pow maxCos 3) (+ (* 3 (/ (pow ux 3) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (/ (pow ux 3) maxCos)) (* -3 (pow ux 3))) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (pow ux 3)) (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow ux 3))) maxCos)) (* 3 (pow ux 3))) maxCos))) maxCos)) (pow ux 3))))
1
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
1
(+ 1 (* -2 ux))
(+ 1 (* ux (- (* 3 ux) 2)))
(+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))
(/ 1 (pow ux 2))
(/ (- 1 (* 2 (/ 1 ux))) (pow ux 2))
(/ (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))) (pow ux 2))
(/ (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))) (pow ux 2))
(/ 1 (pow ux 2))
(/ (- 1 (* 2 (/ 1 ux))) (pow ux 2))
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))) (pow ux 2))
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))) (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 (* -1 (* ux (+ 1 maxCos))))
(+ 1 (* ux (- (* -1 (* ux (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(+ 1 (* ux (- (* ux (- (* ux (* (+ 1 maxCos) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(* -1 (* ux (+ 1 maxCos)))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (- (+ 1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (+ 1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (+ 1 maxCos) (/ 1 ux))))
(/ (+ 1 (* -1 (pow ux 3))) (- (+ 1 (pow ux 2)) (* -1 ux)))
(+ (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (* maxCos (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (/ 1 (- (+ 1 (pow ux 2)) (* -1 ux)))))
(+ (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (* maxCos (- (+ (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (* maxCos (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (+ 1 (* -1 (pow ux 3)))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (/ 1 (- (+ 1 (pow ux 2)) (* -1 ux)))))
(+ (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (* maxCos (- (+ (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (* maxCos (- (+ (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (* maxCos (- (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (+ 1 (* -1 (pow ux 3)))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (- (+ 1 (pow ux 2)) (* -1 ux))))))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (+ 1 (* -1 (pow ux 3)))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (/ 1 (- (+ 1 (pow ux 2)) (* -1 ux)))))
(* -1 (* maxCos ux))
(* maxCos (- (+ (* -3 (/ ux maxCos)) (* -1 ux)) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) (* maxCos ux)))))
(* maxCos (- (+ (* -3 (/ ux maxCos)) (+ (* -3 (/ ux (pow maxCos 2))) (* -1 ux))) (+ (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) (* maxCos ux))) (+ (* -1 (/ (- (+ 1 (pow ux 2)) (* -1 ux)) (* (pow maxCos 2) ux))) (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (* 2 (pow ux 2)) (* -1 ux))) (* (pow maxCos 2) (pow ux 2)))))))
(* maxCos (- (+ (* -3 (/ ux maxCos)) (+ (* -3 (/ ux (pow maxCos 2))) (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 3))) (/ 1 (* (pow maxCos 3) (pow ux 2))))))) (+ (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) (* maxCos ux))) (+ (* -1 (/ (- (+ 1 (pow ux 2)) (* -1 ux)) (* (pow maxCos 2) ux))) (+ (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (* 2 (pow ux 2)) (* -1 ux))) (* (pow maxCos 2) (pow ux 2))) (+ (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (* (pow maxCos 3) (pow ux 2))) (/ (* (- (* -3 ux) (+ (* -1 (/ (- (+ 1 (pow ux 2)) (* -1 ux)) ux)) (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow ux 2)))) (- (* 2 (pow ux 2)) (* -1 ux))) (* (pow maxCos 3) (pow ux 2)))))))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (* -3 ux)) (* -2 ux)) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -3 ux) (* -1 (/ (- (* 3 ux) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (- (* -2 (pow ux 2)) ux) (- (+ 1 (* -3 ux)) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -3 ux) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 ux) (/ 1 (pow ux 2))) (+ (/ (* (- (* -2 (pow ux 2)) ux) (- (* 3 ux) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (- (* -2 (pow ux 2)) ux) (- (+ 1 (* -3 ux)) (* -2 ux))) (pow ux 2))))))) (pow ux 2)) (/ (* (- (+ 1 (* -3 ux)) (* -2 ux)) (- (+ 1 (pow ux 2)) (* -1 ux))) (pow ux 2)))) maxCos)) (* 3 ux)) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (- (* -2 (pow ux 2)) ux) (- (+ 1 (* -3 ux)) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(* -1 (pow ux 3))
(+ (* -3 (* maxCos (pow ux 3))) (* -1 (pow ux 3)))
(+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (* maxCos (pow ux 3))) (* -3 (pow ux 3)))))
(+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* -1 (* maxCos (pow ux 3))))))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (* -1 (pow ux 3)))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (/ (pow ux 3) (pow maxCos 3))) (* -1 (pow ux 3))))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* -1 (* (pow maxCos 3) (+ (* 3 (/ (pow ux 3) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (/ (pow ux 3) maxCos)) (* -3 (pow ux 3))) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (pow ux 3)) (* -1 (/ (+ (* 3 (pow ux 3)) (/ (pow ux 3) maxCos)) maxCos))) maxCos)) (pow ux 3))))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 (* ux (+ 1 maxCos)))
(* -1 ux)
(+ (* -1 ux) (* -1 (* maxCos ux)))
(+ (* -1 ux) (* -1 (* maxCos ux)))
(+ (* -1 ux) (* -1 (* maxCos ux)))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))
(* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))
(* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (/ ux maxCos))))
(* -1 (* maxCos (+ ux (/ ux maxCos))))
(* -1 (* maxCos (+ ux (/ ux maxCos))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- (* 2 ux) 1)))
(fma.f32 ux (fma.f32 ux #s(literal 2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 2 (* -2 ux))) 1)))
(fma.f32 ux (fma.f32 ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))
ux
(* ux (- 1 (/ 1 ux)))
(+.f32 #s(literal -1 binary32) ux)
(* ux (- (+ 1 (/ 2 (pow ux 2))) (/ 1 ux)))
(fma.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 ux ux))) #s(literal -1 binary32))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (+ (/ 1 ux) (* 2 (/ 1 (pow ux 3))))))
(*.f32 ux (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) ux)) (/.f32 #s(literal 2 binary32) (*.f32 ux (*.f32 ux ux)))))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(+.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (- (* -1 (/ (- (* 2 (/ 1 ux)) 1) ux)) 1)))
(fma.f32 (neg.f32 ux) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) ux)) ux) ux)
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) ux)) 1) ux)) 1)))
(fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux)) (neg.f32 ux)) ux)
(pow ux 4)
(pow.f32 ux #s(literal 4 binary32))
(* (pow ux 4) (+ 1 (* -2 ux)))
(*.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux #s(literal -2 binary32) #s(literal 1 binary32)))
(* (pow ux 4) (+ 1 (* ux (- (* 3 ux) 2))))
(*.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux (fma.f32 ux #s(literal 3 binary32) #s(literal -2 binary32)) #s(literal 1 binary32)))
(* (pow ux 4) (+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2))))
(*.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux (fma.f32 ux (fma.f32 ux #s(literal -4 binary32) #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(fma.f32 ux ux (*.f32 ux #s(literal -2 binary32)))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (* 2 (/ 1 ux))))
(fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 ux #s(literal -2 binary32)))
(* (pow ux 2) (- (+ 1 (/ 3 (pow ux 2))) (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3))))))
(*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 4 binary32) ux)) ux)) ux))))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(fma.f32 ux ux (*.f32 ux #s(literal -2 binary32)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))))
(fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 ux #s(literal -2 binary32)))
(* (pow ux 2) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))))
(*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 4 binary32) ux)) ux)) ux))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux 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 (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ (* maxCos ux) (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))
(fma.f32 ux maxCos (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux))))))
(- (+ (* maxCos ux) (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))
(fma.f32 ux maxCos (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux))))))
(- (+ (* maxCos ux) (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))
(fma.f32 ux maxCos (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux))))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))) (/ (pow ux 4) (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))))
(*.f32 maxCos (-.f32 (+.f32 ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))) (/ (pow ux 4) (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))))
(*.f32 maxCos (-.f32 (+.f32 ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))) (/ (pow ux 4) (* maxCos (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))))))
(*.f32 maxCos (-.f32 (+.f32 ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) maxCos)))))
(*.f32 maxCos (-.f32 (+.f32 ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) maxCos)))))
(*.f32 maxCos (-.f32 (+.f32 ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))))) (/ (pow ux 4) (* (pow (+ 1 ux) 2) (+ (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))))) maxCos)))))
(*.f32 maxCos (-.f32 (+.f32 ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 maxCos (+.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) ux)))))))
1
#s(literal 1 binary32)
(+ 1 (* -2 ux))
(fma.f32 ux #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (- (* 3 ux) 2)))
(fma.f32 ux (fma.f32 ux #s(literal 3 binary32) #s(literal -2 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))
(fma.f32 ux (fma.f32 ux (fma.f32 ux #s(literal -4 binary32) #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(fma.f32 ux #s(literal 2 binary32) (*.f32 ux (neg.f32 ux)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(fma.f32 ux #s(literal 2 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 ux ux)))))
(* (pow ux 2) (- (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3)))) (+ 1 (/ 3 (pow ux 2)))))
(fma.f32 ux #s(literal 2 binary32) (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) ux) #s(literal -3 binary32)) ux) ux) #s(literal -1 binary32))))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(fma.f32 ux #s(literal 2 binary32) (*.f32 ux (neg.f32 ux)))
(* (pow ux 2) (- (* -1 (/ (- (* 3 (/ 1 ux)) 2) ux)) 1))
(fma.f32 ux #s(literal 2 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 ux ux)))))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 ux)) 3) ux)) 2) ux)) 1))
(*.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 4 binary32) ux)) 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)
(* ux (+ 1 maxCos))
(fma.f32 ux maxCos ux)
(* ux (- (* ux (pow (+ 1 maxCos) 2)) (* -1 (+ 1 maxCos))))
(*.f32 ux (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) maxCos)))
(* ux (- (* ux (pow (+ 1 maxCos) 2)) (* -1 (+ 1 maxCos))))
(*.f32 ux (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) maxCos)))
(* ux (- (* ux (pow (+ 1 maxCos) 2)) (* -1 (+ 1 maxCos))))
(*.f32 ux (fma.f32 (+.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) maxCos)))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
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1
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1
#s(literal 1 binary32)
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(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (- 1 (* 2 (/ 1 ux))) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) ux)) (*.f32 ux ux))
(/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 ux))) ux))) (pow ux 2))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -3 binary32) ux)) ux)) (*.f32 ux ux))
(/ (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 4 (/ 1 ux))) ux))) ux))) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 4 binary32) ux)) ux)) ux)) (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 (* ux (+ 1 maxCos))))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- (* -1 (* ux (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (- (* ux (* (+ 1 maxCos) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (- (+ 1 maxCos) (/ 1 ux))))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 maxCos) (/ 1 ux))))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 maxCos) (/ 1 ux))))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(/ (+ 1 (* -1 (pow ux 3))) (- (+ 1 (pow ux 2)) (* -1 ux)))
(/.f32 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(+ (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (* maxCos (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (/ 1 (- (+ 1 (pow ux 2)) (* -1 ux)))))
(fma.f32 maxCos (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (fma.f32 ux (*.f32 ux ux) #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 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(+ (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (* maxCos (- (+ (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (* maxCos (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (+ 1 (* -1 (pow ux 3)))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (/ 1 (- (+ 1 (pow ux 2)) (* -1 ux)))))
(fma.f32 maxCos (fma.f32 maxCos (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (*.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (fma.f32 ux (*.f32 ux ux) #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))))) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (fma.f32 ux (*.f32 ux ux) #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 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(+ (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (* maxCos (- (+ (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (* maxCos (- (+ (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (* maxCos (- (* -1 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (+ 1 (* -1 (pow ux 3)))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (- (+ 1 (pow ux 2)) (* -1 ux))))))) (+ (/ (* (- (* -3 (/ (pow ux 3) (- (+ 1 (pow ux 2)) (* -1 ux)))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2))) (- (* 2 (pow ux 2)) (* -1 ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (/ (* (pow ux 2) (+ 1 (* -1 (pow ux 3)))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))))) (/ (* (+ 1 (* -1 (pow ux 3))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow (- (+ 1 (pow ux 2)) (* -1 ux)) 2)))) (/ 1 (- (+ 1 (pow ux 2)) (* -1 ux)))))
(fma.f32 maxCos (fma.f32 maxCos (fma.f32 maxCos (-.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (fma.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (*.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (fma.f32 ux (*.f32 ux ux) #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))))) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (*.f32 ux ux) (/.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (fma.f32 ux (*.f32 ux ux) #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 #s(literal 1 binary32) (fma.f32 ux ux ux)))))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (*.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (fma.f32 ux (*.f32 ux ux) #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))))) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (fma.f32 ux (*.f32 ux ux) #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 (fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(* -1 (* maxCos ux))
(*.f32 ux (neg.f32 maxCos))
(* maxCos (- (+ (* -3 (/ ux maxCos)) (* -1 ux)) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) (* maxCos ux)))))
(*.f32 maxCos (+.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ (* -3 (/ ux maxCos)) (+ (* -3 (/ ux (pow maxCos 2))) (* -1 ux))) (+ (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) (* maxCos ux))) (+ (* -1 (/ (- (+ 1 (pow ux 2)) (* -1 ux)) (* (pow maxCos 2) ux))) (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (* 2 (pow ux 2)) (* -1 ux))) (* (pow maxCos 2) (pow ux 2)))))))
(*.f32 maxCos (-.f32 (+.f32 (fma.f32 ux (/.f32 #s(literal -3 binary32) (*.f32 maxCos maxCos)) (neg.f32 ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (fma.f32 (/.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (*.f32 ux (*.f32 maxCos maxCos))))))
(* maxCos (- (+ (* -3 (/ ux maxCos)) (+ (* -3 (/ ux (pow maxCos 2))) (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 3))) (/ 1 (* (pow maxCos 3) (pow ux 2))))))) (+ (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) (* maxCos ux))) (+ (* -1 (/ (- (+ 1 (pow ux 2)) (* -1 ux)) (* (pow maxCos 2) ux))) (+ (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (* 2 (pow ux 2)) (* -1 ux))) (* (pow maxCos 2) (pow ux 2))) (+ (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (+ 1 (pow ux 2)) (* -1 ux))) (* (pow maxCos 3) (pow ux 2))) (/ (* (- (* -3 ux) (+ (* -1 (/ (- (+ 1 (pow ux 2)) (* -1 ux)) ux)) (/ (* (- (* -3 ux) (* -1 (/ (- (* 2 (pow ux 2)) (* -1 ux)) ux))) (- (* 2 (pow ux 2)) (* -1 ux))) (pow ux 2)))) (- (* 2 (pow ux 2)) (* -1 ux))) (* (pow maxCos 3) (pow ux 2)))))))))
(*.f32 maxCos (-.f32 (+.f32 (fma.f32 ux (/.f32 #s(literal -3 binary32) (*.f32 maxCos maxCos)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 maxCos (*.f32 maxCos maxCos)))) (+.f32 ux (/.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos)))))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (/.f32 (/.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) ux) (*.f32 maxCos maxCos)) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (*.f32 ux ux) (*.f32 maxCos (*.f32 maxCos maxCos))))) (fma.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 (/.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) ux) (+.f32 #s(literal -1 binary32) ux) (+.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))) (/.f32 (/.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) ux) (*.f32 maxCos (*.f32 maxCos maxCos))) (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (*.f32 ux (*.f32 maxCos maxCos)))))))
(* -1 (* maxCos ux))
(*.f32 ux (neg.f32 maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (* -3 ux)) (* -2 ux)) maxCos)))))
(*.f32 (neg.f32 maxCos) (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -3 ux) (* -1 (/ (- (* 3 ux) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (- (* -2 (pow ux 2)) ux) (- (+ 1 (* -3 ux)) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (-.f32 (fma.f32 ux #s(literal 3 binary32) #s(literal -1 binary32)) (+.f32 ux (/.f32 #s(literal 1 binary32) ux))) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))) (neg.f32 maxCos)) ux)) maxCos)))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -3 ux) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 ux) (/ 1 (pow ux 2))) (+ (/ (* (- (* -2 (pow ux 2)) ux) (- (* 3 ux) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (- (* -2 (pow ux 2)) ux) (- (+ 1 (* -3 ux)) (* -2 ux))) (pow ux 2))))))) (pow ux 2)) (/ (* (- (+ 1 (* -3 ux)) (* -2 ux)) (- (+ 1 (pow ux 2)) (* -1 ux))) (pow ux 2)))) maxCos)) (* 3 ux)) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (- (* -2 (pow ux 2)) ux) (- (+ 1 (* -3 ux)) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (+.f32 (-.f32 (fma.f32 ux #s(literal 3 binary32) #s(literal -1 binary32)) (+.f32 ux (/.f32 #s(literal 1 binary32) ux))) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))) (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux) (fma.f32 (fma.f32 #s(literal 2 binary32) (*.f32 ux ux) ux) (/.f32 (+.f32 (-.f32 (fma.f32 ux #s(literal 3 binary32) #s(literal -1 binary32)) (+.f32 ux (/.f32 #s(literal 1 binary32) ux))) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))) (*.f32 ux ux)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) ux)))) maxCos)) (neg.f32 maxCos)) ux)) maxCos)))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (* (pow ux 3) (pow (+ 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal -1 binary32) maxCos))))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(+ (* -3 (* maxCos (pow ux 3))) (* -1 (pow ux 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 maxCos #s(literal -3 binary32) #s(literal -1 binary32)))
(+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (* maxCos (pow ux 3))) (* -3 (pow ux 3)))))
(fma.f32 maxCos (*.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 maxCos #s(literal -3 binary32) #s(literal -3 binary32))) (*.f32 ux (*.f32 ux (neg.f32 ux))))
(+ (* -1 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* maxCos (+ (* -3 (pow ux 3)) (* -1 (* maxCos (pow ux 3))))))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 maxCos #s(literal -3 binary32) #s(literal -1 binary32)) (*.f32 (*.f32 maxCos maxCos) (*.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal -3 binary32) maxCos))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 ux ux) (*.f32 maxCos (*.f32 maxCos maxCos))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3))))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (fma.f32 ux (*.f32 ux (neg.f32 ux)) (/.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -3 binary32)) maxCos)))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (* -1 (pow ux 3)))))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (fma.f32 #s(literal -3 binary32) (fma.f32 ux (*.f32 ux (/.f32 ux maxCos)) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos maxCos))) (*.f32 ux (*.f32 ux (neg.f32 ux)))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (/ (pow ux 3) (pow maxCos 3))) (* -1 (pow ux 3))))))
(*.f32 maxCos (*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 #s(literal -3 binary32) (fma.f32 ux (*.f32 ux (/.f32 ux maxCos)) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos maxCos)))) (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)))))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 ux ux) (*.f32 maxCos (*.f32 maxCos maxCos))))
(* -1 (* (pow maxCos 3) (+ (* 3 (/ (pow ux 3) maxCos)) (pow ux 3))))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (fma.f32 ux (*.f32 ux (neg.f32 ux)) (/.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -3 binary32)) maxCos)))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (/ (pow ux 3) maxCos)) (* -3 (pow ux 3))) maxCos)) (pow ux 3))))
(*.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 ux (*.f32 ux ux)) maxCos)) maxCos) (*.f32 ux (*.f32 ux ux))) (*.f32 maxCos (*.f32 maxCos (neg.f32 maxCos))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (pow ux 3)) (* -1 (/ (+ (* 3 (pow ux 3)) (/ (pow ux 3) maxCos)) maxCos))) maxCos)) (pow ux 3))))
(*.f32 (fma.f32 ux (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -3 binary32)) (/.f32 (fma.f32 ux (*.f32 ux (/.f32 ux maxCos)) (*.f32 #s(literal 3 binary32) (*.f32 ux (*.f32 ux ux)))) maxCos)) (neg.f32 maxCos))) (*.f32 maxCos (*.f32 maxCos (neg.f32 maxCos))))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 ux)
(neg.f32 ux)
(+ (* -1 ux) (* -1 (* maxCos ux)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(+ (* -1 ux) (* -1 (* maxCos ux)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(+ (* -1 ux) (* -1 (* maxCos ux)))
(*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))
(* -1 (* maxCos ux))
(*.f32 ux (neg.f32 maxCos))
(* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))
(*.f32 (neg.f32 maxCos) (+.f32 ux (/.f32 ux maxCos)))
(* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))
(*.f32 (neg.f32 maxCos) (+.f32 ux (/.f32 ux maxCos)))
(* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))
(*.f32 (neg.f32 maxCos) (+.f32 ux (/.f32 ux maxCos)))
(* -1 (* maxCos ux))
(*.f32 ux (neg.f32 maxCos))
(* -1 (* maxCos (+ ux (/ ux maxCos))))
(*.f32 (neg.f32 maxCos) (+.f32 ux (/.f32 ux maxCos)))
(* -1 (* maxCos (+ ux (/ ux maxCos))))
(*.f32 (neg.f32 maxCos) (+.f32 ux (/.f32 ux maxCos)))
(* -1 (* maxCos (+ ux (/ ux maxCos))))
(*.f32 (neg.f32 maxCos) (+.f32 ux (/.f32 ux maxCos)))

eval257.0ms (2.8%)

Memory
1.5MiB live, 320.3MiB allocated
Compiler

Compiled 70 037 to 4 139 computations (94.1% saved)

prune192.0ms (2.1%)

Memory
-7.9MiB live, 439.1MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 47161 477
Fresh000
Picked224
Done011
Total1 47391 482
Accuracy
100.0%
Counts
1 482 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.6%
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
▶96.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
✓98.0%
(-.f32 #s(literal 1 binary32) ux)
98.6%
(+.f32 (/.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) 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 ux maxCos))
▶98.3%
(+.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (*.f32 ux maxCos))
▶98.9%
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶99.3%
(+.f32 (*.f32 (/.f32 #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 (*.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 ux maxCos))
✓70.7%
#s(literal 1 binary32)
Compiler

Compiled 354 to 168 computations (52.5% saved)

simplify420.0ms (4.6%)

Memory
17.1MiB live, 439.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
✓cost-diff64
(+.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (*.f32 ux maxCos))
✓cost-diff160
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓cost-diff1312
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
✓cost-diff0
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓cost-diff0
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
✓cost-diff160
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓cost-diff1312
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
✓cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
✓cost-diff128
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
✓cost-diff160
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
✓cost-diff64
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓cost-diff64
(+.f32 (*.f32 (/.f32 #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 (*.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 ux maxCos))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32)))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32))))
✓cost-diff1600
(*.f32 (/.f32 #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 (*.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)))
Rules
11 444×lower-fma.f64
11 442×lower-fma.f32
4 120×lower-*.f64
4 102×lower-*.f32
1 670×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030385
057443
1139288
2406246
32038246
45887246
08364242
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (/.f32 #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 (*.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 ux maxCos))
(*.f32 (/.f32 #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 (*.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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32))))
#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))
(+.f32 #s(literal 1 binary32) ux)
ux
(fma.f32 ux ux #s(literal 1 binary32))
(*.f32 (*.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) ux)
(*.f32 ux maxCos)
maxCos
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux ux))
ux
(*.f32 ux ux)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(neg.f32 ux)
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
#s(literal 1 binary32)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(+.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(+.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (*.f32 ux maxCos))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
#s(literal 1 binary32)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(+.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(*.f32 ux maxCos)
maxCos
Outputs
(+.f32 (*.f32 (/.f32 #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 (*.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 ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 #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 (*.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) ux)
(/.f32 #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 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
#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 (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))
(+.f32 #s(literal 1 binary32) ux)
ux
(fma.f32 ux ux #s(literal 1 binary32))
(*.f32 (*.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 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
maxCos
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(/.f32 (fma.f32 (*.f32 ux ux) (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(fma.f32 (*.f32 ux ux) (neg.f32 ux) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux ux))
ux
(*.f32 ux ux)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
(fma.f32 ux ux ux)
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(neg.f32 ux)
(neg.f32 ux)
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (-.f32 #s(literal -1 binary32) ux))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
#s(literal 1 binary32)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(+.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(+.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (*.f32 ux maxCos))
(fma.f32 ux maxCos (/.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) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (-.f32 #s(literal -1 binary32) ux))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
#s(literal 1 binary32)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(+.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(*.f32 ux maxCos)
maxCos

localize128.0ms (1.4%)

Memory
16.1MiB live, 303.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
✓accuracy98.9%
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓accuracy98.8%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓accuracy98.7%
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
✓accuracy99.6%
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
✓accuracy98.9%
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓accuracy98.8%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓accuracy98.7%
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
✓accuracy99.9%
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
✓accuracy99.2%
(*.f32 ux (*.f32 ux ux))
✓accuracy98.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
✓accuracy100.0%
(*.f32 ux maxCos)
✓accuracy100.0%
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓accuracy99.7%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
✓accuracy99.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓accuracy98.9%
(*.f32 (*.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))
✓accuracy98.7%
(*.f32 (/.f32 #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 (*.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)))
✓accuracy86.6%
(fma.f32 ux ux #s(literal 1 binary32))
Samples
57.0ms250×0valid
7.0ms6×5exit
Compiler

Compiled 395 to 33 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 18.0ms (37.9% of total)
ival-mult: 14.0ms (29.5% of total)
ival-add: 7.0ms (14.7% of total)
ival-sub: 5.0ms (10.5% of total)
adjust: 2.0ms (4.2% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-10.2MiB live, 30.4MiB allocated
Counts
23 → 324
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 #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 (*.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)))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux ux #s(literal 1 binary32)))>
#<alt (+.f32 (*.f32 (/.f32 #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 (*.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 ux maxCos))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))>
#<alt (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))>
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt (*.f32 #s(literal 1 binary32) (neg.f32 ux))>
#<alt (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))>
#<alt (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))>
#<alt (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))>
#<alt (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))>
#<alt (+.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (*.f32 ux maxCos))>
#<alt (fma.f32 ux ux #s(literal 1 binary32))>
#<alt (*.f32 (*.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))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))>
#<alt (*.f32 ux maxCos)>
#<alt (*.f32 ux (*.f32 ux ux))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 (* -1 ux))))>
#<alt (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))>
#<alt (/ 1 ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))) ux)>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))) ux)>
#<alt (/ 1 ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1) ux))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- (* 2 ux) 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 2 (* -2 ux))) 1)))>
#<alt ux>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 2 (pow ux 2))) (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 2 (pow ux 2))) (+ (/ 1 ux) (* 2 (/ 1 (pow ux 3))))))>
#<alt ux>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (* 2 (/ 1 ux)) 1) ux)) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) ux)) 1) ux)) 1)))>
#<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)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt ux>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt 1>
#<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 (pow ux 2))>
#<alt (/ (+ 1 ux) (pow ux 2))>
#<alt (/ (+ 1 ux) (pow ux 2))>
#<alt (/ (+ 1 ux) (pow ux 2))>
#<alt (/ 1 ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ 1 ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ 1 (pow ux 2))>
#<alt (/ (+ 1 ux) (pow ux 2))>
#<alt (/ (+ 1 (* ux (+ 1 (* -1 ux)))) (pow ux 2))>
#<alt (/ (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1))))) (pow ux 2))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* ux (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))>
#<alt (* ux (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))>
#<alt (* -1 (* ux (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ (+ 1 ux) (pow ux 2))>
#<alt (/ (+ 1 ux) (pow ux 2))>
#<alt (/ (+ 1 ux) (pow ux 2))>
#<alt (/ 1 ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ 1 ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ (+ 1 (/ 1 ux)) ux)>
#<alt (/ (+ 1 (/ 1 ux)) 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 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2))>
#<alt (+ (* maxCos ux) (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2)))>
#<alt (+ (* maxCos ux) (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2)))>
#<alt (+ (* maxCos ux) (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))>
#<alt (* maxCos (+ ux (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))>
#<alt (* maxCos (+ ux (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))))>
#<alt 1>
#<alt (+ 1 (pow ux 2))>
#<alt (+ 1 (pow ux 2))>
#<alt (+ 1 (pow ux 2))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 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 (* -2 ux))>
#<alt (+ 1 (* ux (- (* 3 ux) 2)))>
#<alt (+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))>
#<alt (* (pow ux 2) (- (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3)))) (+ 1 (/ 3 (pow ux 2)))))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (- (* 3 (/ 1 ux)) 2) ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 ux)) 3) ux)) 2) ux)) 1))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (/ 1 (pow ux 2))>
#<alt (/ (+ 1 (* 2 ux)) (pow ux 2))>
#<alt (/ (+ 1 (* ux (+ 2 ux))) (pow ux 2))>
#<alt (/ (+ 1 (* ux (+ 2 ux))) (pow ux 2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 ux)))>
#<alt (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 ux)))>
#<alt (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
ux
@0
(/ 1 (- 1 ux))
1.0ms
maxCos
@0
(+ (/ (- (* 1 (/ (+ 1 ux) (* ux ux))) (+ 1 ux)) (* (+ 1 ux) (/ (+ 1 ux) (* ux ux)))) (* ux maxCos))
0.0ms
ux
@-inf
(+ (/ (- (* 1 (/ (+ 1 ux) (* ux ux))) (+ 1 ux)) (* (+ 1 ux) (/ (+ 1 ux) (* ux ux)))) (* ux maxCos))
0.0ms
ux
@0
(/ (- (* 1 (/ (+ 1 ux) (* ux ux))) (+ 1 ux)) (* (+ 1 ux) (/ (+ 1 ux) (* ux ux))))
0.0ms
ux
@inf
(/ (- 1 (* ux (* ux ux))) (+ 1 (- (* ux ux) (* 1 (neg ux)))))

rewrite522.0ms (5.7%)

Memory
-10.7MiB live, 1 005.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 726×lower-fma.f64
6 724×lower-fma.f32
3 658×lower-/.f64
3 648×lower-/.f32
2 534×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030268
057354
1283123
22739112
010702104
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 3 566
Calls
Call 1
Inputs
(*.f32 (/.f32 #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 (*.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 (/.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 (*.f32 (/.f32 #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 (*.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 ux maxCos))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(+.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (*.f32 ux maxCos))
(fma.f32 ux ux #s(literal 1 binary32))
(*.f32 (*.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))
(*.f32 ux maxCos)
(*.f32 ux (*.f32 ux ux))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(neg.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux)))))
(neg.f32 (-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)))
(exp.f32 (log1p.f32 ux))
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 ux #s(literal 1 binary32))
(+.f32 (/.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 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(+.f32 (neg.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))))
(+.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (neg.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 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (*.f32 ux (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 ux #s(literal -1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 ux #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux ux)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 ux #s(literal -1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 ux #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 ux #s(literal -1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 ux #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(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 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(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 #s(literal 1 binary32) ux)))
(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))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
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(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
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(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (/.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (/.f32 #s(literal 1 binary32) ux) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 ux (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 ux (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(fma.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux))
(fma.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) ux) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(fma.f32 (pow.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux))
(fma.f32 (pow.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(-.f32 (/.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) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)))))
(/.f32 (+.f32 ux #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (*.f32 (neg.f32 (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 ux ux)))))
(/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux))
(/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (neg.f32 (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 ux ux))))
(/.f32 (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux)) ux)
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (*.f32 ux ux)))
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (neg.f32 (*.f32 ux ux))))
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) ux))
(/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) ux))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (*.f32 (*.f32 ux ux) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)))
(/.f32 (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (*.f32 (neg.f32 (*.f32 ux ux)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)))
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (*.f32 ux (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)))
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal 1 binary32))) (fma.f32 ux ux ux))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (*.f32 ux ux)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux)) ux)
(/.f32 (*.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux ux)))
(/.f32 (neg.f32 (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)))
(/.f32 (neg.f32 (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))
(/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) ux)
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (*.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (*.f32 ux ux))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (*.f32 (*.f32 ux ux) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux ux))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal -1 binary32)))) (neg.f32 (*.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) (neg.f32 (*.f32 ux ux)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 (*.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux) ux)))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) ux)))
(/.f32 (neg.f32 (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (*.f32 (neg.f32 (*.f32 ux ux)) (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))))
(/.f32 (neg.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (*.f32 ux (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))))
(/.f32 (neg.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux ux ux)))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) (*.f32 ux ux))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 ux))
(/.f32 (neg.f32 (*.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux))
(/.f32 (neg.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (+.f32 #s(literal 1 binary32) ux))) (neg.f32 ux))
(/.f32 (neg.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)))
(/.f32 (neg.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (neg.f32 (+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (neg.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (neg.f32 ux))
(/.f32 (+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (pow.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux) #s(literal 3 binary32))) (+.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (-.f32 (*.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux)))))
(/.f32 (+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (pow.f32 (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) #s(literal 3 binary32))) (+.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (-.f32 (*.f32 (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux) #s(literal 3 binary32)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (fma.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux) (-.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))))
(/.f32 (+.f32 (pow.f32 (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) #s(literal 3 binary32)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (fma.f32 (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (-.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 ux (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux)))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 ux ux)) #s(literal 1 binary32))
(*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) ux))

simplify398.0ms (4.4%)

Memory
4.8MiB live, 716.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 876×lower-fma.f64
10 876×lower-fma.f32
6 256×lower-*.f64
6 256×lower-*.f32
2 464×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02362042
16981962
219551868
083091765
Stop Event
1×iter limit
1×node limit
Counts
324 → 321
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(/ 1 ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))) ux)
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))) ux)
(/ 1 ux)
(/ (+ 1 (/ 1 ux)) ux)
(* -1 (/ (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1) ux))
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- (* 2 ux) 1)))
(+ 1 (* ux (- (* ux (+ 2 (* -2 ux))) 1)))
ux
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (+ (/ 1 ux) (* 2 (/ 1 (pow ux 3))))))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (* 2 (/ 1 ux)) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) ux)) 1) ux)) 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -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)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
ux
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(* -1 (pow ux 3))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(/ 1 (pow ux 2))
(/ (+ 1 ux) (pow ux 2))
(/ (+ 1 ux) (pow ux 2))
(/ (+ 1 ux) (pow ux 2))
(/ 1 ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ 1 ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ 1 (pow ux 2))
(/ (+ 1 ux) (pow ux 2))
(/ (+ 1 (* ux (+ 1 (* -1 ux)))) (pow ux 2))
(/ (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1))))) (pow ux 2))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* ux (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* ux (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* ux (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(/ 1 (pow ux 2))
(/ (+ 1 ux) (pow ux 2))
(/ (+ 1 ux) (pow ux 2))
(/ (+ 1 ux) (pow ux 2))
(/ 1 ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ 1 ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/ (+ 1 (/ 1 ux)) 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))))
(/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2))
(+ (* maxCos ux) (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2)))
(+ (* maxCos ux) (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2)))
(+ (* maxCos ux) (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2)))
(* maxCos ux)
(* maxCos (+ ux (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))
(* maxCos (+ ux (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))
(* maxCos (+ ux (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))))
1
(+ 1 (pow ux 2))
(+ 1 (pow ux 2))
(+ 1 (pow ux 2))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))
1
(+ 1 (* -2 ux))
(+ 1 (* ux (- (* 3 ux) 2)))
(+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(* (pow ux 2) (- (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3)))) (+ 1 (/ 3 (pow ux 2)))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* -1 (/ (- (* 3 (/ 1 ux)) 2) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 ux)) 3) ux)) 2) ux)) 1))
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(/ 1 ux)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/ 1 ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(* 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)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(/ 1 (pow ux 2))
(/ (+ 1 (* 2 ux)) (pow ux 2))
(/ (+ 1 (* ux (+ 2 ux))) (pow ux 2))
(/ (+ 1 (* ux (+ 2 ux))) (pow ux 2))
1
(+ 1 (* 2 (/ 1 ux)))
(+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))
(+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))
1
(+ 1 (* 2 (/ 1 ux)))
(+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))
(+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (- (+ 1 (/ 1 ux)) (/ 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 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux)) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(* -1 (/ (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)
(* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux)) (neg.f32 ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- (* 2 ux) 1)))
(fma.f32 ux (fma.f32 ux #s(literal 2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 2 (* -2 ux))) 1)))
(fma.f32 ux (fma.f32 ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))
ux
(* ux (- 1 (/ 1 ux)))
(+.f32 #s(literal -1 binary32) ux)
(* ux (- (+ 1 (/ 2 (pow ux 2))) (/ 1 ux)))
(+.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)))
(* ux (- (+ 1 (/ 2 (pow ux 2))) (+ (/ 1 ux) (* 2 (/ 1 (pow ux 3))))))
(+.f32 (+.f32 ux (/.f32 #s(literal 2 binary32) ux)) (fma.f32 ux (/.f32 #s(literal -2 binary32) (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32)))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(+.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (- (* -1 (/ (- (* 2 (/ 1 ux)) 1) ux)) 1)))
(+.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) ux)) 1) ux)) 1)))
(fma.f32 ux (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) ux)) ux) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
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)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 ux)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux)) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal -1 binary32) (*.f32 ux ux))) ux)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
ux
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 3)))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (+ 1 ux) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 ux) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 ux) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (+ 1 ux) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 (* ux (+ 1 (* -1 ux)))) (pow ux 2))
(/.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(/ (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1))))) (pow ux 2))
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux ux))
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* ux (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(-.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* ux (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) ux))
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(-.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (* ux (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(neg.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) ux) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) #s(literal 1 binary32) ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (+ 1 ux) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 ux) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 ux) (pow ux 2))
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(/ (+ 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2))
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos ux) (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2)))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))
(+ (* maxCos ux) (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2)))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))
(+ (* maxCos ux) (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (pow (+ 1 ux) 2)))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)))))
(* maxCos (+ ux (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)))))
(* maxCos (+ ux (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))))
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))))
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 ux))) (* maxCos (pow (+ 1 ux) 2)))))))
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) maxCos)))))
1
#s(literal 1 binary32)
(+ 1 (pow ux 2))
(fma.f32 ux ux #s(literal 1 binary32))
(+ 1 (pow ux 2))
(fma.f32 ux ux #s(literal 1 binary32))
(+ 1 (pow ux 2))
(fma.f32 ux ux #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 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 (* -2 ux))
(fma.f32 ux #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (- (* 3 ux) 2)))
(fma.f32 ux (fma.f32 ux #s(literal 3 binary32) #s(literal -2 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 3 (* -4 ux))) 2)))
(fma.f32 ux (fma.f32 ux (fma.f32 ux #s(literal -4 binary32) #s(literal 3 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 2))
(neg.f32 (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(fma.f32 ux (neg.f32 ux) (*.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(fma.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -3 binary32) (*.f32 ux ux))) (*.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ 1 ux)) (* 4 (/ 1 (pow ux 3)))) (+ 1 (/ 3 (pow ux 2)))))
(fma.f32 (*.f32 ux ux) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 4 binary32) ux) #s(literal -3 binary32)) (*.f32 ux ux)) #s(literal -1 binary32)) (*.f32 ux #s(literal 2 binary32)))
(* -1 (pow ux 2))
(neg.f32 (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(fma.f32 ux (neg.f32 ux) (*.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (- (* -1 (/ (- (* 3 (/ 1 ux)) 2) ux)) 1))
(fma.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -3 binary32) (*.f32 ux ux))) (*.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 ux)) 3) ux)) 2) ux)) 1))
(*.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -4 binary32) ux)) ux)) ux)))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)) ux)
(* 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)
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (+ 1 (* 2 ux)) (pow ux 2))
(/.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 ux ux))
(/ (+ 1 (* ux (+ 2 ux))) (pow ux 2))
(/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux ux))
(/ (+ 1 (* ux (+ 2 ux))) (pow ux 2))
(/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux))
(+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)))
(+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux))
(+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)))
(+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)))

eval850.0ms (9.3%)

Memory
17.9MiB live, 1 317.7MiB allocated
Compiler

Compiled 218 398 to 11 778 computations (94.6% saved)

prune764.0ms (8.4%)

Memory
41.5MiB live, 1 785.3MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5 85235 855
Fresh101
Picked505
Done033
Total5 85865 864
Accuracy
100.0%
Counts
5 864 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux)))
▶98.0%
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
▶100.0%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
✓98.0%
(-.f32 #s(literal 1 binary32) ux)
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓70.7%
#s(literal 1 binary32)
Compiler

Compiled 57 to 39 computations (31.6% saved)

simplify69.0ms (0.8%)

Memory
37.3MiB live, 114.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 ux (*.f32 ux ux))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
✓cost-diff64
(+.f32 (*.f32 ux ux) ux)
✓cost-diff64
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux)))
✓cost-diff0
(fma.f32 ux maxCos #s(literal 1 binary32))
✓cost-diff0
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
✓cost-diff0
(*.f32 ux maxCos)
✓cost-diff0
(-.f32 ux (*.f32 ux maxCos))
✓cost-diff64
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
Rules
1 024×lower-fma.f64
1 022×lower-fma.f32
504×lower-*.f64
498×lower-*.f32
280×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01475
02570
15668
210368
319368
437668
579568
6136168
7159468
8166168
9175068
10176368
11176368
0176365
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
#s(literal 1 binary32)
(-.f32 ux (*.f32 ux maxCos))
ux
(*.f32 ux maxCos)
maxCos
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(fma.f32 ux maxCos #s(literal 1 binary32))
ux
maxCos
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux)))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux ux))
ux
(*.f32 ux ux)
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux))
(+.f32 (*.f32 ux ux) ux)
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
#s(literal 1 binary32)
(-.f32 ux (*.f32 ux maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
ux
(*.f32 ux maxCos)
maxCos
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 ux maxCos #s(literal 1 binary32))
ux
maxCos
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux)))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux (*.f32 ux ux))
ux
(*.f32 ux ux)
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+.f32 (*.f32 ux ux) ux)
(fma.f32 ux ux ux)

localize54.0ms (0.6%)

Memory
-27.4MiB live, 111.8MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux))
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
✓accuracy99.2%
(*.f32 ux (*.f32 ux ux))
✓accuracy98.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux)))
✓accuracy99.9%
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
✓accuracy98.3%
(fma.f32 ux maxCos #s(literal 1 binary32))
✓accuracy100.0%
(*.f32 ux maxCos)
✓accuracy100.0%
(-.f32 ux (*.f32 ux maxCos))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
Samples
27.0ms250×0valid
1.0ms6×1valid
Compiler

Compiled 79 to 17 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (37.2% of total)
ival-sub: 4.0ms (24.8% of total)
ival-add: 3.0ms (18.6% of total)
ival-div: 2.0ms (12.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-25.9MiB live, 11.8MiB allocated
Counts
10 → 180
Calls
Call 1
Inputs
#<alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))>
#<alt (-.f32 ux (*.f32 ux maxCos))>
#<alt (*.f32 ux maxCos)>
#<alt (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)>
#<alt (fma.f32 ux maxCos #s(literal 1 binary32))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux)))>
#<alt (+.f32 (*.f32 ux ux) ux)>
#<alt (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))>
#<alt (*.f32 ux (*.f32 ux ux))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux))>
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 (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (+ 1 (* -1 maxCos)))>
#<alt (* ux (+ 1 (* -1 maxCos)))>
#<alt (* ux (+ 1 (* -1 maxCos)))>
#<alt (* ux (+ 1 (* -1 maxCos)))>
#<alt ux>
#<alt (+ ux (* -1 (* maxCos ux)))>
#<alt (+ ux (* -1 (* maxCos ux)))>
#<alt (+ ux (* -1 (* maxCos ux)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* maxCos (- (/ ux maxCos) ux))>
#<alt (* maxCos (- (/ ux maxCos) ux))>
#<alt (* maxCos (- (/ ux maxCos) ux))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))>
#<alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))>
#<alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt 1>
#<alt (+ 1 (* 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 (* maxCos ux))>
#<alt (+ 1 (* maxCos ux))>
#<alt (+ 1 (* maxCos ux))>
#<alt (* maxCos ux)>
#<alt (* ux (+ maxCos (/ 1 ux)))>
#<alt (* ux (+ maxCos (/ 1 ux)))>
#<alt (* ux (+ maxCos (/ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* maxCos ux))>
#<alt (+ 1 (* maxCos ux))>
#<alt (+ 1 (* maxCos ux))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (/ 1 maxCos)))>
#<alt (* maxCos (+ ux (/ 1 maxCos)))>
#<alt (* maxCos (+ ux (/ 1 maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 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 ux>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
Calls

45 calls:

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

rewrite304.0ms (3.3%)

Memory
-26.1MiB live, 741.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 114×lower-fma.f64
5 112×lower-fma.f32
4 460×lower-/.f64
4 458×lower-/.f32
3 654×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01464
02559
113457
2120647
0871145
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 650
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
(-.f32 ux (*.f32 ux maxCos))
(*.f32 ux maxCos)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(fma.f32 ux maxCos #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux)))
(+.f32 (*.f32 ux ux) ux)
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(*.f32 ux (*.f32 ux ux))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux))
Outputs
(+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 ux) (*.f32 ux maxCos)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (+.f32 (neg.f32 ux) (*.f32 ux maxCos)) #s(literal 1 binary32))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
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(/.f32 (neg.f32 (fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux ux)))) (neg.f32 (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)))
(/.f32 (fma.f32 ux (*.f32 ux ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))))) (fma.f32 ux ux (-.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux (fma.f32 ux ux #s(literal 1 binary32))))))
(/.f32 (fma.f32 ux (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (fma.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (fma.f32 (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))))
(/.f32 (-.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))) (-.f32 ux (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (+.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(*.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 ux ux ux) (+.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(*.f32 (fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)))))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))
(*.f32 (fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)))

simplify325.0ms (3.6%)

Memory
-14.6MiB live, 498.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 692×lower-fma.f64
10 692×lower-fma.f32
3 910×lower-*.f64
3 910×lower-*.f32
1 758×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078827
1227818
2586818
32152818
46179818
08042747
Stop Event
1×iter limit
1×node limit
Counts
180 → 178
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)))))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* 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 (* maxCos ux))
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(* maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(* ux (+ maxCos (/ 1 ux)))
(* ux (+ maxCos (/ 1 ux)))
(* maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
1
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(* maxCos ux)
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 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))))
ux
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
1
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(* -1 (pow ux 3))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* 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))
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- 1 maxCos))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(fma.f32 ux (neg.f32 maxCos) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(fma.f32 ux (neg.f32 maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(fma.f32 ux (neg.f32 maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(fma.f32 ux (neg.f32 maxCos) ux)
(* -1 (* maxCos ux))
(*.f32 ux (neg.f32 maxCos))
(* maxCos (- (/ ux maxCos) ux))
(fma.f32 ux (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(fma.f32 ux (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(fma.f32 ux (neg.f32 maxCos) ux)
(* -1 (* maxCos ux))
(*.f32 ux (neg.f32 maxCos))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(fma.f32 ux (neg.f32 maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(fma.f32 ux (neg.f32 maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(fma.f32 ux (neg.f32 maxCos) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
1
#s(literal 1 binary32)
(+ 1 (* 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 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 ux maxCos #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 ux 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)
ux
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 ux)))
(fma.f32 ux ux (+.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (+ 1 ux)))
(fma.f32 ux ux (+.f32 #s(literal 1 binary32) ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 ux ux (+.f32 #s(literal 1 binary32) ux))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 ux ux (+.f32 #s(literal 1 binary32) ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 ux ux (+.f32 #s(literal 1 binary32) ux))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 ux ux (+.f32 #s(literal 1 binary32) ux))

eval88.0ms (1%)

Memory
38.8MiB live, 153.6MiB allocated
Compiler

Compiled 22 231 to 1 469 computations (93.4% saved)

prune76.0ms (0.8%)

Memory
-18.8MiB live, 178.4MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New8280828
Fresh000
Picked033
Done033
Total8286834
Accuracy
100.0%
Counts
834 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓96.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux)))
✓98.0%
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
✓100.0%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
✓98.0%
(-.f32 #s(literal 1 binary32) ux)
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓70.7%
#s(literal 1 binary32)
Compiler

Compiled 332 to 102 computations (69.3% saved)

regimes19.0ms (0.2%)

Memory
3.3MiB live, 41.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))))
(+.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))) (*.f32 ux maxCos))
(+.f32 (*.f32 (/.f32 #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 (*.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 ux maxCos))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (*.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
(+.f32 (/.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) 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 ux maxCos))
(+.f32 (/.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 ux maxCos))
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
Calls

4 calls:

6.0ms
uy
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
ux
4.0ms
maxCos
Results
AccuracySegmentsBranch
100.0%1ux
100.0%1uy
100.0%1maxCos
100.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Calls

4 calls:

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

regimes10.0ms (0.1%)

Memory
-21.7MiB live, 18.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
Outputs
(-.f32 #s(literal 1 binary32) ux)
Calls

4 calls:

4.0ms
maxCos
2.0ms
ux
2.0ms
uy
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
98.0%1ux
98.0%1uy
98.0%1maxCos
98.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes5.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
ux
1.0ms
uy
1.0ms
maxCos
Results
AccuracySegmentsBranch
70.7%1ux
70.7%1uy
70.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
70.7%1maxCos
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify12.0ms (0.1%)

Memory
-17.4MiB live, 21.6MiB allocated
Algorithm
1×egg-herbie
Rules
52×distribute-lft-neg-in_binary32
40×unsub-neg_binary32
32×distribute-neg-in_binary32
28×cancel-sign-sub_binary32
26×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
12118
23818
36118
49318
513018
615718
717218
817318
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

soundness1.0s (11.3%)

Memory
6.6MiB live, 515.4MiB allocated
Rules
6 726×lower-fma.f64
6 724×lower-fma.f32
6 682×lower-fma.f64
6 682×lower-fma.f32
5 750×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
0613
0913
14213
234313
3526813
0896812
026273
048163
1246125
22484107
08818103
030268
057354
1283123
22739112
010702104
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 31 to 18 computations (41.9% saved)

preprocess21.0ms (0.2%)

Memory
33.0MiB live, 71.4MiB allocated
Remove

(abs uy)

Compiler

Compiled 122 to 74 computations (39.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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