UniformSampleCone, z

Time bar (total: 7.1s)

analyze133.0ms (1.9%)

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 33 to 20 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-<=: 18.0ms (31% of total)
...c/correct-round.rkt:119:19: 17.0ms (29.3% of total)
ival-mult: 7.0ms (12.1% of total)
ival-sub: 6.0ms (10.3% of total)
ival-and: 5.0ms (8.6% of total)
ival-add: 4.0ms (6.9% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (18%)

Results
963.0ms8256×0valid
19.0ms55×5exit
Precisions
Click to see histograms. Total time spent on operations: 577.0ms
ival-<=: 189.0ms (32.8% of total)
...c/correct-round.rkt:119:19: 165.0ms (28.6% of total)
ival-sub: 59.0ms (10.2% of total)
ival-mult: 57.0ms (9.9% of total)
ival-add: 48.0ms (8.3% of total)
ival-and: 43.0ms (7.5% of total)
backward-pass: 8.0ms (1.4% of total)
const: 8.0ms (1.4% of total)
Bogosity

preprocess118.0ms (1.7%)

Algorithm
2×egg-herbie
Rules
2030×sum3-define
1968×sum5-define
1736×sum4-define
1720×fnmsub-define
1686×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02579
17863
224560
385260
4310460
5689460
067
1146
2356
3706
41826
54856
615316
721296
822646
922846
022846
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ (- 1 ux) (* ux maxCos))
Outputs
(+ (- 1 ux) (* ux maxCos))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
Call 2
Inputs
(+ (- 1 ux) (* ux maxCos))
(+ (- 1 (neg ux)) (* (neg ux) maxCos))
(+ (- 1 ux) (* ux maxCos))
(+ (- 1 ux) (* ux (neg maxCos)))
(neg (+ (- 1 (neg ux)) (* (neg ux) maxCos)))
(neg (+ (- 1 ux) (* ux maxCos)))
(neg (+ (- 1 ux) (* ux (neg maxCos))))
(+ (- 1 uy) (* uy maxCos))
(+ (- 1 maxCos) (* maxCos ux))
(+ (- 1 ux) (* ux uy))
Outputs
(+ (- 1 ux) (* ux maxCos))
(+ 1 (fmsub ux maxCos ux))
(+ (- 1 (neg ux)) (* (neg ux) maxCos))
(+ 1 (fnmadd ux maxCos ux))
(+ (- 1 ux) (* ux maxCos))
(+ 1 (fmsub ux maxCos ux))
(+ (- 1 ux) (* ux (neg maxCos)))
(- 1 (fma ux maxCos ux))
(neg (+ (- 1 (neg ux)) (* (neg ux) maxCos)))
(+ -1 (fmsub ux maxCos ux))
(neg (+ (- 1 ux) (* ux maxCos)))
(+ ux (fnmsub ux maxCos 1))
(neg (+ (- 1 ux) (* ux (neg maxCos))))
(sum3 ux (* ux maxCos) -1)
(+ (- 1 uy) (* uy maxCos))
(+ 1 (fmsub maxCos uy uy))
(+ (- 1 maxCos) (* maxCos ux))
(fmsub ux maxCos (+ maxCos -1))
(+ (- 1 ux) (* ux uy))
(+ 1 (fmsub ux uy ux))
Symmetry

(abs uy)

explain73.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f32 #s(literal 1 binary32) ux)
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-ux
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-#s(literal 1 binary32)
Results
50.0ms512×0valid
Compiler

Compiled 50 to 23 computations (54% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sub: 9.0ms (53.9% of total)
ival-mult: 4.0ms (23.9% of total)
ival-add: 3.0ms (18% of total)
const: 1.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

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

Compiled 20 to 15 computations (25% saved)

simplify47.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 ux maxCos)
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓cost-diff0
(+.f32 maxCos #s(literal -1 binary32))
✓cost-diff0
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
Rules
624×sum5-define
570×fnmadd-define
534×sum3-define
422×fmsub-define
416×fnmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01035
12633
26533
310332
420532
554332
6155232
7214532
8228032
9230032
0230032
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1 (* ux (+ maxCos -1)))
1
(* ux (+ maxCos -1))
ux
(+ maxCos -1)
maxCos
-1
(+ (- 1 ux) (* ux maxCos))
(- 1 ux)
1
ux
(* ux maxCos)
maxCos
Outputs
(+ 1 (* ux (+ maxCos -1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
1
#s(literal 1 binary32)
(* ux (+ maxCos -1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
ux
(+ maxCos -1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
-1
#s(literal -1 binary32)
(+ (- 1 ux) (* ux maxCos))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(* ux maxCos)
(*.f32 ux maxCos)
maxCos

localize56.0ms (0.8%)

Localize:

Found 6 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))
✓accuracy100.0%
(+.f32 maxCos #s(literal -1 binary32))
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
✓accuracy99.9%
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
Results
36.0ms256×0valid
Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 4.0ms (40.6% of total)
ival-mult: 4.0ms (40.6% of total)
ival-sub: 1.0ms (10.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+ 1 (* ux (+ maxCos -1)))>
#<alt (* ux (+ maxCos -1))>
#<alt (+ maxCos -1)>
#<alt (+ (- 1 ux) (* ux maxCos))>
#<alt (- 1 ux)>
#<alt (* 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 (* ux (- maxCos 1))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* -1 ux)>
#<alt (+ (* -1 ux) (* maxCos ux))>
#<alt (+ (* -1 ux) (* maxCos ux))>
#<alt (+ (* -1 ux) (* maxCos ux))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (* -1 (/ ux maxCos))))>
#<alt (* maxCos (+ ux (* -1 (/ ux maxCos))))>
#<alt (* maxCos (+ ux (* -1 (/ ux maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))>
#<alt -1>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt maxCos>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt maxCos>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt 1>
#<alt (+ 1 (* 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

30 calls:

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

rewrite566.0ms (8%)

Algorithm
1×batch-egg-rewrite
Rules
4680×*-lowering-*.f32
4680×*-lowering-*.f64
3184×/-lowering-/.f32
3184×/-lowering-/.f64
1970×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01028
17326
269326
0861126
Stop Event
1×iter limit
1×node limit
Counts
6 → 366
Calls
Call 1
Inputs
(+ 1 (* ux (+ maxCos -1)))
(* ux (+ maxCos -1))
(+ maxCos -1)
(+ (- 1 ux) (* ux maxCos))
(- 1 ux)
(* ux maxCos)
Outputs
(neg.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux maxCos) (*.f32 maxCos (*.f32 ux (*.f32 ux maxCos))))) (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (*.f32 maxCos (-.f32 (*.f32 ux (+.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))))))
(neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))))) (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) (+.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) #s(literal -1 binary32)))))))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) (+.f32 #s(literal -1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux maxCos) (*.f32 maxCos (*.f32 ux (*.f32 ux maxCos)))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (*.f32 maxCos (-.f32 (*.f32 ux (+.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32)))))))
(neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))))
(neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) (+.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) #s(literal -1 binary32))))))
(neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (neg.f32 ux) (+.f32 (*.f32 ux maxCos) #s(literal 1 binary32)))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (neg.f32 (/.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))) (neg.f32 (/.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))))))
(+.f32 (+.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)) (neg.f32 ux))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 maxCos #s(literal -1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) #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) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
(-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (-.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (*.f32 ux maxCos)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))))
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(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 (*.f32 ux ux) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(/.f32 (+.f32 (*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))) (+.f32 (*.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (+.f32 (*.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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))) (*.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.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) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal 1 binary32) (*.f32 ux maxCos))
(*.f32 ux maxCos)
(*.f32 ux (*.f32 #s(literal 1 binary32) maxCos))
(*.f32 maxCos ux)
(*.f32 (*.f32 ux maxCos) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) maxCos) ux)

simplify227.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1996×*-lowering-*.f32
1996×*-lowering-*.f64
1482×sum3-define
1226×--lowering--.f32
1226×--lowering--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064539
1209478
2564478
31477478
44427478
57236478
08051478
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* -1 ux)
(+ (* -1 ux) (* maxCos ux))
(+ (* -1 ux) (* maxCos ux))
(+ (* -1 ux) (* maxCos ux))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
-1
(- maxCos 1)
(- maxCos 1)
(- maxCos 1)
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
1
(+ 1 (* 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 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 ux)
(neg.f32 ux)
(+ (* -1 ux) (* maxCos ux))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(+ (* -1 ux) (* maxCos ux))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(+ (* -1 ux) (* maxCos ux))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
-1
#s(literal -1 binary32)
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(- (+ 1 (* maxCos ux)) ux)
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(- (+ 1 (* maxCos ux)) ux)
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* 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)

eval50.0ms (0.7%)

Compiler

Compiled 11034 to 868 computations (92.1% saved)

prune53.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4815486
Fresh000
Picked022
Done000
Total4817488
Accuracy
100.0%
Counts
488 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux maxCos) (*.f32 maxCos (*.f32 ux (*.f32 ux maxCos))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (*.f32 maxCos (-.f32 (*.f32 ux (+.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))))
▶98.2%
(-.f32 #s(literal 1 binary32) ux)
▶98.8%
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
▶98.4%
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 (*.f32 ux ux) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓99.9%
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
▶71.7%
#s(literal 1 binary32)
Compiler

Compiled 240 to 125 computations (47.9% saved)

simplify262.0ms (3.7%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))
✓cost-diff0
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 (*.f32 ux ux) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) ux)))
✓cost-diff0
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 (*.f32 ux ux) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))
✓cost-diff0
(*.f32 ux ux)
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
✓cost-diff0
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux maxCos) (*.f32 maxCos (*.f32 ux (*.f32 ux maxCos)))))
✓cost-diff0
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux maxCos) (*.f32 maxCos (*.f32 ux (*.f32 ux maxCos))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (*.f32 maxCos (-.f32 (*.f32 ux (+.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))))
Rules
3204×*-lowering-*.f32
3204×*-lowering-*.f64
2268×+-lowering-+.f64
2268×+-lowering-+.f32
1202×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033281
1120245
2346245
31124245
43896241
08022241
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))) (+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))))
(+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos)))))
(* (- 1 ux) (* (- 1 ux) (- 1 ux)))
(- 1 ux)
1
ux
(* (- 1 ux) (- 1 ux))
(* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))
(* ux maxCos)
maxCos
(* maxCos (* ux (* ux maxCos)))
(* ux (* ux maxCos))
(+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1))))
(* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))
(* maxCos (- (* ux (+ maxCos 1)) 1))
(- (* ux (+ maxCos 1)) 1)
(* ux (+ maxCos 1))
(+ maxCos 1)
1
(- 1 ux)
1
ux
(+ (/ (- 1 (* ux ux)) (+ 1 ux)) (* ux maxCos))
(/ (- 1 (* ux ux)) (+ 1 ux))
(- 1 (* ux ux))
1
(* ux ux)
ux
(+ 1 ux)
(* ux maxCos)
maxCos
(+ (/ (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1) (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux))) (* ux maxCos))
(/ (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1) (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux)))
(* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1)
(- 1 (* (* ux (* ux ux)) (* ux (* ux ux))))
1
(* (* ux (* ux ux)) (* ux (* ux ux)))
(* ux (* ux ux))
ux
(* ux ux)
(* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux))
(+ 1 (* (* ux ux) (+ (* ux ux) 1)))
(* (* ux ux) (+ (* ux ux) 1))
(+ (* ux ux) 1)
(+ 1 ux)
(* ux maxCos)
maxCos
Outputs
(/ (+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))) (+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))))
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos maxCos))))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) (+.f32 (*.f32 maxCos (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)))))))
(+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos)))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos maxCos)))))
(* (- 1 ux) (* (- 1 ux) (- 1 ux)))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(* (- 1 ux) (- 1 ux))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))
(* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))
(*.f32 ux (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos maxCos))))
(* ux maxCos)
(*.f32 ux maxCos)
maxCos
(* maxCos (* ux (* ux maxCos)))
(*.f32 ux (*.f32 ux (*.f32 maxCos maxCos)))
(* ux (* ux maxCos))
(*.f32 ux (*.f32 ux maxCos))
(+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) (+.f32 (*.f32 maxCos (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32))))))
(* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))
(*.f32 ux (*.f32 maxCos (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))
(* maxCos (- (* ux (+ maxCos 1)) 1))
(*.f32 maxCos (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))
(- (* ux (+ maxCos 1)) 1)
(+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))
(* ux (+ maxCos 1))
(*.f32 ux (+.f32 #s(literal 1 binary32) maxCos))
(+ maxCos 1)
(+.f32 #s(literal 1 binary32) maxCos)
1
#s(literal 1 binary32)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(+ (/ (- 1 (* ux ux)) (+ 1 ux)) (* ux maxCos))
(+.f32 (*.f32 ux maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)))
(/ (- 1 (* ux ux)) (+ 1 ux))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
(- 1 (* ux ux))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
1
#s(literal 1 binary32)
(* ux ux)
(*.f32 ux ux)
ux
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(* ux maxCos)
(*.f32 ux maxCos)
maxCos
(+ (/ (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1) (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux))) (* ux maxCos))
(+.f32 (*.f32 ux maxCos) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))
(/ (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1) (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux)))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1)
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))
(- 1 (* (* ux (* ux ux)) (* ux (* ux ux))))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))
1
#s(literal 1 binary32)
(* (* ux (* ux ux)) (* ux (* ux ux)))
(*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))
(* ux (* ux ux))
(*.f32 ux (*.f32 ux ux))
ux
(* ux ux)
(*.f32 ux ux)
(* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(+ 1 (* (* ux ux) (+ (* ux ux) 1)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(* (* ux ux) (+ (* ux ux) 1))
(*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(+ (* ux ux) 1)
(+.f32 #s(literal 1 binary32) (*.f32 ux ux))
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(* ux maxCos)
(*.f32 ux maxCos)
maxCos

localize194.0ms (2.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 (*.f32 ux ux) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) ux))
✓accuracy99.4%
(*.f32 ux (*.f32 ux ux))
✓accuracy98.9%
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))
✓accuracy98.8%
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 (*.f32 ux ux) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) ux)))
✓accuracy100.0%
(*.f32 ux maxCos)
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓accuracy99.9%
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
✓accuracy98.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy99.5%
(*.f32 ux (*.f32 maxCos (-.f32 (*.f32 ux (+.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))
✓accuracy99.4%
(*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
✓accuracy99.3%
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux maxCos) (*.f32 maxCos (*.f32 ux (*.f32 ux maxCos))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (*.f32 maxCos (-.f32 (*.f32 ux (+.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))))
✓accuracy98.8%
(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))
Results
117.0ms250×0valid
13.0ms6×5exit
Compiler

Compiled 381 to 35 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 25.0ms (51.2% of total)
ival-add: 10.0ms (20.5% of total)
ival-sub: 6.0ms (12.3% of total)
ival-div: 5.0ms (10.2% of total)
backward-pass: 3.0ms (6.1% of total)
const: 0.0ms (0% of total)

series30.0ms (0.4%)

Counts
18 → 288
Calls
Call 1
Inputs
#<alt (/ (+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))) (+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))))>
#<alt (+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos)))))>
#<alt (* (- 1 ux) (* (- 1 ux) (- 1 ux)))>
#<alt (- 1 ux)>
#<alt (+ (/ (- 1 (* ux ux)) (+ 1 ux)) (* ux maxCos))>
#<alt (/ (- 1 (* ux ux)) (+ 1 ux))>
#<alt (- 1 (* ux ux))>
#<alt (* ux ux)>
#<alt (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1)>
#<alt (+ (/ (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1) (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux))) (* ux maxCos))>
#<alt (/ (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1) (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux)))>
#<alt (- 1 (* (* ux (* ux ux)) (* ux (* ux ux))))>
#<alt (* (- 1 ux) (- 1 ux))>
#<alt (* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))>
#<alt (* ux maxCos)>
#<alt (* (* ux (* ux ux)) (* ux (* ux ux)))>
#<alt (* ux (* ux ux))>
#<alt (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* ux (- (* ux (- 2 (+ (* -1 (* (+ 1 (* -1 maxCos)) (- (* -1 maxCos) 2))) (* maxCos (+ 1 maxCos))))) (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* ux (- (* ux (- (+ 2 (* ux (- (pow maxCos 3) (+ 1 (+ (* -1 (* (+ 1 (* -1 maxCos)) (+ 1 (* maxCos (+ 1 maxCos))))) (* (- 2 (+ (* -1 (* (+ 1 (* -1 maxCos)) (- (* -1 maxCos) 2))) (* maxCos (+ 1 maxCos)))) (- (* -1 maxCos) 2))))))) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- (* -1 maxCos) 2))) (* maxCos (+ 1 maxCos))))) (+ 1 (* -1 maxCos)))))>
#<alt (/ (* ux (- (pow maxCos 3) 1)) (+ 1 (* maxCos (+ 1 maxCos))))>
#<alt (* ux (- (+ (/ 3 (* ux (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* ux (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))))))>
#<alt (* ux (- (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 3 (* ux (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (* 3 (/ 1 (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (+ (/ (* (- (* -1 maxCos) 2) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* ux (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (/ (pow maxCos 3) (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))))))>
#<alt (* ux (- (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (* (pow ux 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 3 (* ux (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* (pow ux 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 3))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos)))))))) (+ (* 3 (/ 1 (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (+ (/ 3 (* (pow ux 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ (* (- (* -1 maxCos) 2) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (+ (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos)))) (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))) (* (pow ux 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* ux (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (/ (pow maxCos 3) (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))))))))>
#<alt (* -1 (/ (* ux (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* maxCos (+ 1 maxCos)))))>
#<alt (* -1 (* ux (+ (* -1 (/ (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) ux)) (+ (* -1 (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos))))))) ux)) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) ux)) (+ (* -1 (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 3))) (+ (* 3 (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos)))))))) (+ 1 (* maxCos (+ 1 maxCos)))))) ux)) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos))))))) ux)) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) ux)) (+ (* -1 (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* -1 (/ (* maxCos (* ux (- ux 1))) (- 1 ux)))) ux)>
#<alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (* (pow ux 2) (pow (- ux 1) 2)) (pow (- 1 ux) 3))) (/ (pow ux 2) (- 1 ux))))) (/ (* ux (- ux 1)) (- 1 ux))))) ux)>
#<alt (- (+ 1 (* maxCos (- (* maxCos (- (* maxCos (- (/ (pow ux 3) (pow (- 1 ux) 2)) (+ (* -1 (/ (* ux (* (+ (* -1 (/ (* (pow ux 2) (pow (- ux 1) 2)) (pow (- 1 ux) 3))) (/ (pow ux 2) (- 1 ux))) (- ux 1))) (pow (- 1 ux) 2))) (* -1 (/ (* (pow ux 3) (- ux 1)) (pow (- 1 ux) 3)))))) (+ (* -1 (/ (* (pow ux 2) (pow (- ux 1) 2)) (pow (- 1 ux) 3))) (/ (pow ux 2) (- 1 ux))))) (/ (* ux (- ux 1)) (- 1 ux))))) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (+ (* -1 (/ (+ (/ (* (- 1 ux) (- ux 1)) ux) (/ (pow (- 1 ux) 2) ux)) (pow maxCos 2))) (/ 1 maxCos))) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (+ (/ 1 maxCos) (/ (* (+ (/ (* (- 1 ux) (- ux 1)) ux) (/ (pow (- 1 ux) 2) ux)) (- ux 1)) (* (pow maxCos 3) ux)))) (+ (/ ux maxCos) (+ (/ (* (- 1 ux) (- ux 1)) (* (pow maxCos 2) ux)) (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- 1 ux) (- ux 1)) (* maxCos ux))) (* -1 (/ (pow (- 1 ux) 2) (* maxCos ux))))) ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (* -1 (/ (- (/ (* (+ (* -1 (/ (* (- 1 ux) (- ux 1)) ux)) (* -1 (/ (pow (- 1 ux) 2) ux))) (- ux 1)) (* maxCos ux)) (+ (* -1 (/ (* (- 1 ux) (- ux 1)) ux)) (* -1 (/ (pow (- 1 ux) 2) ux)))) maxCos))) ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -3 ux))>
#<alt (+ 1 (* ux (- (* 3 ux) 3)))>
#<alt (+ 1 (* ux (- (* ux (+ 3 (* ux (- (pow maxCos 3) 1)))) 3)))>
#<alt (* (pow ux 3) (- (pow maxCos 3) 1))>
#<alt (* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (pow maxCos 3)) 1))>
#<alt (* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (pow maxCos 3)) (+ 1 (/ 3 (pow ux 2)))))>
#<alt (* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (+ (/ 1 (pow ux 3)) (pow maxCos 3))) (+ 1 (/ 3 (pow ux 2)))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (pow maxCos 3)))))>
#<alt (* -1 (* (pow ux 3) (- (+ 1 (* -1 (pow maxCos 3))) (* 3 (/ 1 ux)))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (+ (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)) (* -1 (pow maxCos 3))))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)) (* -1 (pow maxCos 3))))))>
#<alt (pow (- 1 ux) 3)>
#<alt (+ (* (pow maxCos 3) (pow ux 3)) (pow (- 1 ux) 3))>
#<alt (+ (* (pow maxCos 3) (pow ux 3)) (pow (- 1 ux) 3))>
#<alt (+ (* (pow maxCos 3) (pow ux 3)) (pow (- 1 ux) 3))>
#<alt (* (pow maxCos 3) (pow ux 3))>
#<alt (* (pow maxCos 3) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))>
#<alt (* (pow maxCos 3) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))>
#<alt (* (pow maxCos 3) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))>
#<alt (* (pow maxCos 3) (pow ux 3))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))>
#<alt 1>
#<alt (+ 1 (* -3 ux))>
#<alt (+ 1 (* ux (- (* 3 ux) 3)))>
#<alt (+ 1 (* ux (- (* ux (+ 3 (* -1 ux))) 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (* (pow ux 3) (- (* 3 (/ 1 ux)) 1))>
#<alt (* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))>
#<alt (* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 2)))))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux)))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 6)))>
#<alt (+ 1 (* -1 (pow ux 6)))>
#<alt (+ 1 (* -1 (pow ux 6)))>
#<alt (* -1 (pow ux 6))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* -1 (pow ux 6))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 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 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))>
#<alt (- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))>
#<alt (- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))>
#<alt (- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))) (/ (pow ux 6) (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))) (/ (pow ux 6) (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))) (/ (pow ux 6) (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) 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 (* -1 (pow ux 6)))>
#<alt (+ 1 (* -1 (pow ux 6)))>
#<alt (+ 1 (* -1 (pow ux 6)))>
#<alt (* -1 (pow ux 6))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* -1 (pow ux 6))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt (* (pow ux 6) (- (/ 1 (pow ux 6)) 1))>
#<alt 1>
#<alt (+ 1 (* -2 ux))>
#<alt (+ 1 (* ux (- ux 2)))>
#<alt (+ 1 (* ux (- ux 2)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))>
#<alt (* -1 (* maxCos ux))>
#<alt (* ux (+ (* -1 maxCos) (* maxCos (* ux (+ 1 maxCos)))))>
#<alt (* ux (+ (* -1 maxCos) (* maxCos (* ux (+ 1 maxCos)))))>
#<alt (* ux (+ (* -1 maxCos) (* maxCos (* ux (+ 1 maxCos)))))>
#<alt (* maxCos (* (pow ux 2) (+ 1 maxCos)))>
#<alt (* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))>
#<alt (* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))>
#<alt (* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))>
#<alt (* maxCos (* (pow ux 2) (+ 1 maxCos)))>
#<alt (* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))>
#<alt (* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))>
#<alt (* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))>
#<alt (* maxCos (* ux (- ux 1)))>
#<alt (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- ux 1))))>
#<alt (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- ux 1))))>
#<alt (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- ux 1))))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 6)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))>
#<alt (pow ux 5)>
#<alt (* (pow ux 5) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 5) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 5) (+ 1 (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))))))>
#<alt (pow ux 5)>
#<alt (* (pow ux 5) (+ 1 (/ 1 ux)))>
#<alt (* -1 (* (pow ux 5) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1)))>
#<alt (* -1 (* (pow ux 5) (- (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux)) 1)))>
Calls

72 calls:

TimeVariablePointExpression
4.0ms
maxCos
@0
(+ (/ (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1) (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux))) (* ux maxCos))
2.0ms
ux
@inf
(/ (+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))) (+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))))
2.0ms
maxCos
@0
(/ (+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))) (+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))))
2.0ms
ux
@-inf
(/ (+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))) (+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))))
1.0ms
maxCos
@inf
(/ (+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))) (+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))))

rewrite463.0ms (6.5%)

Algorithm
1×batch-egg-rewrite
Rules
4596×*-lowering-*.f32
4596×*-lowering-*.f64
2304×/-lowering-/.f32
2304×/-lowering-/.f64
2122×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033131
1265113
22697113
09502113
Stop Event
1×iter limit
1×node limit
Counts
18 → 837
Calls
Call 1
Inputs
(/ (+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos))))) (+ (* (- 1 ux) (- 1 ux)) (* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))))
(+ (* (- 1 ux) (* (- 1 ux) (- 1 ux))) (* (* ux maxCos) (* maxCos (* ux (* ux maxCos)))))
(* (- 1 ux) (* (- 1 ux) (- 1 ux)))
(- 1 ux)
(+ (/ (- 1 (* ux ux)) (+ 1 ux)) (* ux maxCos))
(/ (- 1 (* ux ux)) (+ 1 ux))
(- 1 (* ux ux))
(* ux ux)
(* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1)
(+ (/ (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1) (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux))) (* ux maxCos))
(/ (* (- 1 (* (* ux (* ux ux)) (* ux (* ux ux)))) 1) (* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux)))
(- 1 (* (* ux (* ux ux)) (* ux (* ux ux))))
(* (- 1 ux) (- 1 ux))
(* ux (* maxCos (- (* ux (+ maxCos 1)) 1)))
(* ux maxCos)
(* (* ux (* ux ux)) (* ux (* ux ux)))
(* ux (* ux ux))
(* (+ 1 (* (* ux ux) (+ (* ux ux) 1))) (+ 1 ux))
Outputs
(neg.f32 (/.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) #s(literal 1 binary32)))
(/.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))))))
(/.f32 (neg.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (-.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 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))))) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))))))
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (-.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 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))))) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.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 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) #s(literal 1 binary32)) (*.f32 (-.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))))) (neg.f32 (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))))))
(/.f32 (*.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) #s(literal 1 binary32)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))))
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (-.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 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))))
(*.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))))
(*.f32 (neg.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))) (pow.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 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))))) (+.f32 (*.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 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (/.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (+.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))))
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(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 (*.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (*.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 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux)))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 (*.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (neg.f32 (-.f32 (*.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
(-.f32 (*.f32 ux maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux))))
(-.f32 (*.f32 ux maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux)))))
(-.f32 (*.f32 ux maxCos) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)))
(-.f32 (*.f32 ux maxCos) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos)))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)))))
(-.f32 (+.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (*.f32 ux maxCos) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))))
(/.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (+.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 #s(literal 1 binary32) (*.f32 ux maxCos))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (neg.f32 (+.f32 (*.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 maxCos)) (*.f32 maxCos (*.f32 ux maxCos))))) (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux 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 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos))))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)))))
(/.f32 (-.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux (*.f32 ux maxCos)) (*.f32 maxCos (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)))))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux))))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux)))))
(neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux)))
(neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 ux)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (neg.f32 (*.f32 ux (/.f32 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 ux (/.f32 ux (+.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 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 ux ux)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 ux (*.f32 ux (*.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) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 ux (*.f32 ux (*.f32 ux ux))))))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
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(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) ux) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) ux))

simplify331.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
4204×*-lowering-*.f32
4204×*-lowering-*.f64
3126×+-lowering-+.f64
3126×+-lowering-+.f32
1992×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04553854
115963263
263603255
081623255
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(+ 1 (* ux (- (* ux (- 2 (+ (* -1 (* (+ 1 (* -1 maxCos)) (- (* -1 maxCos) 2))) (* maxCos (+ 1 maxCos))))) (+ 1 (* -1 maxCos)))))
(+ 1 (* ux (- (* ux (- (+ 2 (* ux (- (pow maxCos 3) (+ 1 (+ (* -1 (* (+ 1 (* -1 maxCos)) (+ 1 (* maxCos (+ 1 maxCos))))) (* (- 2 (+ (* -1 (* (+ 1 (* -1 maxCos)) (- (* -1 maxCos) 2))) (* maxCos (+ 1 maxCos)))) (- (* -1 maxCos) 2))))))) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- (* -1 maxCos) 2))) (* maxCos (+ 1 maxCos))))) (+ 1 (* -1 maxCos)))))
(/ (* ux (- (pow maxCos 3) 1)) (+ 1 (* maxCos (+ 1 maxCos))))
(* ux (- (+ (/ 3 (* ux (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* ux (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))))))
(* ux (- (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 3 (* ux (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (* 3 (/ 1 (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (+ (/ (* (- (* -1 maxCos) 2) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* ux (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (/ (pow maxCos 3) (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))))))
(* ux (- (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (* (pow ux 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 3 (* ux (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* (pow ux 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 3))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos)))))))) (+ (* 3 (/ 1 (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (+ (/ 3 (* (pow ux 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ (* (- (* -1 maxCos) 2) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (+ (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos)))) (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))) (* (pow ux 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* ux (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (/ (pow maxCos 3) (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))))))))
(* -1 (/ (* ux (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* maxCos (+ 1 maxCos)))))
(* -1 (* ux (+ (* -1 (/ (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) ux)) (+ (* -1 (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos))))))) ux)) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) ux)) (+ (* -1 (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 3))) (+ (* 3 (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos)))))))) (+ 1 (* maxCos (+ 1 maxCos)))))) ux)) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos))))))) ux)) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) ux)) (+ (* -1 (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))))))
(- 1 ux)
(- (+ 1 (* -1 (/ (* maxCos (* ux (- ux 1))) (- 1 ux)))) ux)
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (* (pow ux 2) (pow (- ux 1) 2)) (pow (- 1 ux) 3))) (/ (pow ux 2) (- 1 ux))))) (/ (* ux (- ux 1)) (- 1 ux))))) ux)
(- (+ 1 (* maxCos (- (* maxCos (- (* maxCos (- (/ (pow ux 3) (pow (- 1 ux) 2)) (+ (* -1 (/ (* ux (* (+ (* -1 (/ (* (pow ux 2) (pow (- ux 1) 2)) (pow (- 1 ux) 3))) (/ (pow ux 2) (- 1 ux))) (- ux 1))) (pow (- 1 ux) 2))) (* -1 (/ (* (pow ux 3) (- ux 1)) (pow (- 1 ux) 3)))))) (+ (* -1 (/ (* (pow ux 2) (pow (- ux 1) 2)) (pow (- 1 ux) 3))) (/ (pow ux 2) (- 1 ux))))) (/ (* ux (- ux 1)) (- 1 ux))))) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (+ (* -1 (/ (+ (/ (* (- 1 ux) (- ux 1)) ux) (/ (pow (- 1 ux) 2) ux)) (pow maxCos 2))) (/ 1 maxCos))) (/ ux maxCos)))
(* maxCos (- (+ ux (+ (/ 1 maxCos) (/ (* (+ (/ (* (- 1 ux) (- ux 1)) ux) (/ (pow (- 1 ux) 2) ux)) (- ux 1)) (* (pow maxCos 3) ux)))) (+ (/ ux maxCos) (+ (/ (* (- 1 ux) (- ux 1)) (* (pow maxCos 2) ux)) (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- 1 ux) (- ux 1)) (* maxCos ux))) (* -1 (/ (pow (- 1 ux) 2) (* maxCos ux))))) ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (* -1 (/ (- (/ (* (+ (* -1 (/ (* (- 1 ux) (- ux 1)) ux)) (* -1 (/ (pow (- 1 ux) 2) ux))) (- ux 1)) (* maxCos ux)) (+ (* -1 (/ (* (- 1 ux) (- ux 1)) ux)) (* -1 (/ (pow (- 1 ux) 2) ux)))) maxCos))) ux) maxCos)))))
1
(+ 1 (* -3 ux))
(+ 1 (* ux (- (* 3 ux) 3)))
(+ 1 (* ux (- (* ux (+ 3 (* ux (- (pow maxCos 3) 1)))) 3)))
(* (pow ux 3) (- (pow maxCos 3) 1))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (pow maxCos 3)) 1))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (pow maxCos 3)) (+ 1 (/ 3 (pow ux 2)))))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (+ (/ 1 (pow ux 3)) (pow maxCos 3))) (+ 1 (/ 3 (pow ux 2)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (pow maxCos 3)))))
(* -1 (* (pow ux 3) (- (+ 1 (* -1 (pow maxCos 3))) (* 3 (/ 1 ux)))))
(* -1 (* (pow ux 3) (+ 1 (+ (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)) (* -1 (pow maxCos 3))))))
(* -1 (* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)) (* -1 (pow maxCos 3))))))
(pow (- 1 ux) 3)
(+ (* (pow maxCos 3) (pow ux 3)) (pow (- 1 ux) 3))
(+ (* (pow maxCos 3) (pow ux 3)) (pow (- 1 ux) 3))
(+ (* (pow maxCos 3) (pow ux 3)) (pow (- 1 ux) 3))
(* (pow maxCos 3) (pow ux 3))
(* (pow maxCos 3) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(* (pow maxCos 3) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(* (pow maxCos 3) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(* (pow maxCos 3) (pow ux 3))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
1
(+ 1 (* -3 ux))
(+ 1 (* ux (- (* 3 ux) 3)))
(+ 1 (* ux (- (* ux (+ 3 (* -1 ux))) 3)))
(* -1 (pow ux 3))
(* (pow ux 3) (- (* 3 (/ 1 ux)) 1))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 2)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
1
(+ 1 (* -1 (pow ux 6)))
(+ 1 (* -1 (pow ux 6)))
(+ 1 (* -1 (pow ux 6)))
(* -1 (pow ux 6))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* -1 (pow ux 6))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 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 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))) (/ (pow ux 6) (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))) (/ (pow ux 6) (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))) (/ (pow ux 6) (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) 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 (* -1 (pow ux 6)))
(+ 1 (* -1 (pow ux 6)))
(+ 1 (* -1 (pow ux 6)))
(* -1 (pow ux 6))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* -1 (pow ux 6))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
1
(+ 1 (* -2 ux))
(+ 1 (* ux (- ux 2)))
(+ 1 (* ux (- ux 2)))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(* -1 (* maxCos ux))
(* ux (+ (* -1 maxCos) (* maxCos (* ux (+ 1 maxCos)))))
(* ux (+ (* -1 maxCos) (* maxCos (* ux (+ 1 maxCos)))))
(* ux (+ (* -1 maxCos) (* maxCos (* ux (+ 1 maxCos)))))
(* maxCos (* (pow ux 2) (+ 1 maxCos)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(* maxCos (* (pow ux 2) (+ 1 maxCos)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(* maxCos (* ux (- ux 1)))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- ux 1))))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- ux 1))))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- ux 1))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 6)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(pow ux 5)
(* (pow ux 5) (+ 1 (/ 1 ux)))
(* (pow ux 5) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 5) (+ 1 (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))))))
(pow ux 5)
(* (pow ux 5) (+ 1 (/ 1 ux)))
(* -1 (* (pow ux 5) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1)))
(* -1 (* (pow ux 5) (- (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux)) 1)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
(+ 1 (* ux (- (* ux (- 2 (+ (* -1 (* (+ 1 (* -1 maxCos)) (- (* -1 maxCos) 2))) (* maxCos (+ 1 maxCos))))) (+ 1 (* -1 maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)))))) (-.f32 #s(literal 1 binary32) maxCos))))
(+ 1 (* ux (- (* ux (- (+ 2 (* ux (- (pow maxCos 3) (+ 1 (+ (* -1 (* (+ 1 (* -1 maxCos)) (+ 1 (* maxCos (+ 1 maxCos))))) (* (- 2 (+ (* -1 (* (+ 1 (* -1 maxCos)) (- (* -1 maxCos) 2))) (* maxCos (+ 1 maxCos)))) (- (* -1 maxCos) 2))))))) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- (* -1 maxCos) 2))) (* maxCos (+ 1 maxCos))))) (+ 1 (* -1 maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 (+.f32 (*.f32 ux (+.f32 (*.f32 ux (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (-.f32 (*.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)))))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))))) (-.f32 #s(literal 2 binary32) (-.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32))))))) #s(literal -1 binary32)) maxCos)))
(/ (* ux (- (pow maxCos 3) 1)) (+ 1 (* maxCos (+ 1 maxCos))))
(/.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))
(* ux (- (+ (/ 3 (* ux (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* ux (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))))))
(*.f32 ux (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))))))
(* ux (- (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 3 (* ux (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (* 3 (/ 1 (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (+ (/ (* (- (* -1 maxCos) 2) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* ux (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (/ (pow maxCos 3) (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))))))
(*.f32 ux (+.f32 (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))) (+.f32 (+.f32 (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))) (*.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))))))
(* ux (- (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (* (pow ux 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 3 (* ux (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* (pow ux 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 3))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos)))))))) (+ (* 3 (/ 1 (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (+ (/ 3 (* (pow ux 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ (* (- (* -1 maxCos) 2) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (* (pow ux 2) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (+ (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos)))) (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))) (* (pow ux 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1)) (* ux (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (/ (pow maxCos 3) (* (pow ux 2) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))))))))
(*.f32 ux (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (+.f32 (+.f32 (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))) (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))))) (+.f32 (*.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))) (+.f32 (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))) (*.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (*.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (*.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))))))))))
(* -1 (/ (* ux (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* maxCos (+ 1 maxCos)))))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1 (/ (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) ux)) (+ (* -1 (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) ux)) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (- (+ (* -1 (/ (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos))))))) ux)) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) ux)) (+ (* -1 (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (*.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (+.f32 maxCos #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))))) ux)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) ux)) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 3))) (+ (* 3 (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos)))))))) (+ 1 (* maxCos (+ 1 maxCos)))))) ux)) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (* -1 (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (+ 2 maxCos) (- (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) (+ 1 (* maxCos (+ 1 maxCos))))))) ux)) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (/ (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) ux)) (+ (* -1 (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))) (*.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (*.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (+.f32 maxCos #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))))) (/.f32 (+.f32 maxCos #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) ux)) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (*.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (+.f32 maxCos #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))))))) ux)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 2 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)))))) ux)) (neg.f32 ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* -1 (/ (* maxCos (* ux (- ux 1))) (- 1 ux)))) ux)
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) ux) maxCos)) (-.f32 #s(literal 1 binary32) ux))) ux)
(- (+ 1 (* maxCos (- (* -1 (* maxCos (+ (* -1 (/ (* (pow ux 2) (pow (- ux 1) 2)) (pow (- 1 ux) 3))) (/ (pow ux 2) (- 1 ux))))) (/ (* ux (- ux 1)) (- 1 ux))))) ux)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos (-.f32 (*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (*.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 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (/.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) ux))
(- (+ 1 (* maxCos (- (* maxCos (- (* maxCos (- (/ (pow ux 3) (pow (- 1 ux) 2)) (+ (* -1 (/ (* ux (* (+ (* -1 (/ (* (pow ux 2) (pow (- ux 1) 2)) (pow (- 1 ux) 3))) (/ (pow ux 2) (- 1 ux))) (- ux 1))) (pow (- 1 ux) 2))) (* -1 (/ (* (pow ux 3) (- ux 1)) (pow (- 1 ux) 3)))))) (+ (* -1 (/ (* (pow ux 2) (pow (- ux 1) 2)) (pow (- 1 ux) 3))) (/ (pow ux 2) (- 1 ux))))) (/ (* ux (- ux 1)) (- 1 ux))))) ux)
(+.f32 (*.f32 maxCos (-.f32 (*.f32 maxCos (-.f32 (*.f32 maxCos (+.f32 (/.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 ux (*.f32 (-.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (*.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 (-.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))))) (/.f32 (*.f32 (*.f32 ux ux) (*.f32 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)))))))) (-.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (*.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 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))))) (/.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (-.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 (/ (+ (/ (* (- 1 ux) (- ux 1)) ux) (/ (pow (- 1 ux) 2) ux)) (pow maxCos 2))) (/ 1 maxCos))) (/ ux maxCos)))
(*.f32 maxCos (+.f32 (-.f32 ux (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 maxCos maxCos))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ ux (+ (/ 1 maxCos) (/ (* (+ (/ (* (- 1 ux) (- ux 1)) ux) (/ (pow (- 1 ux) 2) ux)) (- ux 1)) (* (pow maxCos 3) ux)))) (+ (/ ux maxCos) (+ (/ (* (- 1 ux) (- ux 1)) (* (pow maxCos 2) ux)) (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))))))
(*.f32 maxCos (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos)))))) (-.f32 ux (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal -1 binary32) ux)) (*.f32 ux (*.f32 maxCos maxCos))) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (*.f32 maxCos maxCos))) (/.f32 ux maxCos))))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- 1 ux) (- ux 1)) (* maxCos ux))) (* -1 (/ (pow (- 1 ux) 2) (* maxCos ux))))) ux) maxCos)))))
(*.f32 (*.f32 (neg.f32 maxCos) #s(literal -1 binary32)) (+.f32 ux (/.f32 (-.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (* -1 (/ (- (/ (* (+ (* -1 (/ (* (- 1 ux) (- ux 1)) ux)) (* -1 (/ (pow (- 1 ux) 2) ux))) (- ux 1)) (* maxCos ux)) (+ (* -1 (/ (* (- 1 ux) (- ux 1)) ux)) (* -1 (/ (pow (- 1 ux) 2) ux)))) maxCos))) ux) maxCos)))))
(*.f32 (*.f32 (neg.f32 maxCos) #s(literal -1 binary32)) (+.f32 ux (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (+.f32 #s(literal -1 binary32) ux) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux maxCos))) (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal -1 binary32) ux) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) maxCos)) ux) maxCos)))
1
#s(literal 1 binary32)
(+ 1 (* -3 ux))
(+.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -3 binary32)))
(+ 1 (* ux (- (* 3 ux) 3)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -3 binary32) (*.f32 ux #s(literal 3 binary32)))))
(+ 1 (* ux (- (* ux (+ 3 (* ux (- (pow maxCos 3) 1)))) 3)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -3 binary32) (*.f32 ux (+.f32 #s(literal 3 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))))))))
(* (pow ux 3) (- (pow maxCos 3) 1))
(*.f32 ux (*.f32 ux (*.f32 ux (+.f32 #s(literal -1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))))))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (pow maxCos 3)) 1))
(*.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) ux))))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (pow maxCos 3)) (+ 1 (/ 3 (pow ux 2)))))
(*.f32 ux (*.f32 (*.f32 ux ux) (+.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (-.f32 (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) ux)) ux) #s(literal 1 binary32)))))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (+ (/ 1 (pow ux 3)) (pow maxCos 3))) (+ 1 (/ 3 (pow ux 2)))))
(*.f32 ux (*.f32 (*.f32 ux ux) (+.f32 (+.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (-.f32 (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) ux)) ux) #s(literal 1 binary32)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (pow maxCos 3)))))
(*.f32 (*.f32 ux (*.f32 ux ux)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))))
(* -1 (* (pow ux 3) (- (+ 1 (* -1 (pow maxCos 3))) (* 3 (/ 1 ux)))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (/.f32 #s(literal -3 binary32) ux)) (-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux))))
(* -1 (* (pow ux 3) (+ 1 (+ (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)) (* -1 (pow maxCos 3))))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) ux)) ux)) (*.f32 maxCos (*.f32 maxCos maxCos))) (-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux))))
(* -1 (* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)) (* -1 (pow maxCos 3))))))
(neg.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)) (*.f32 maxCos (*.f32 maxCos maxCos)))))
(pow (- 1 ux) 3)
(*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(+ (* (pow maxCos 3) (pow ux 3)) (pow (- 1 ux) 3))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 ux (*.f32 ux ux))))
(+ (* (pow maxCos 3) (pow ux 3)) (pow (- 1 ux) 3))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 ux (*.f32 ux ux))))
(+ (* (pow maxCos 3) (pow ux 3)) (pow (- 1 ux) 3))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 ux (*.f32 ux ux))))
(* (pow maxCos 3) (pow ux 3))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 ux (*.f32 ux ux)))
(* (pow maxCos 3) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 (*.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 maxCos (*.f32 maxCos maxCos)))))
(* (pow maxCos 3) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 (*.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 maxCos (*.f32 maxCos maxCos)))))
(* (pow maxCos 3) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 (*.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 maxCos (*.f32 maxCos maxCos)))))
(* (pow maxCos 3) (pow ux 3))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 0 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (*.f32 ux (*.f32 ux ux))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 0 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (*.f32 ux (*.f32 ux ux))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (pow (- 1 ux) 3) (pow maxCos 3))) (* -1 (pow ux 3)))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))) (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 0 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (*.f32 ux (*.f32 ux ux))))
1
#s(literal 1 binary32)
(+ 1 (* -3 ux))
(+.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -3 binary32)))
(+ 1 (* ux (- (* 3 ux) 3)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -3 binary32) (*.f32 ux #s(literal 3 binary32)))))
(+ 1 (* ux (- (* ux (+ 3 (* -1 ux))) 3)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -3 binary32) (*.f32 ux (-.f32 #s(literal 3 binary32) ux)))))
(* -1 (pow ux 3))
(-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux)))
(* (pow ux 3) (- (* 3 (/ 1 ux)) 1))
(*.f32 (*.f32 ux ux) (*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) ux))))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(*.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) ux)) ux) #s(literal 1 binary32)))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 2)))))
(*.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (-.f32 (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) ux)) ux) #s(literal 1 binary32))))
(* -1 (pow ux 3))
(-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux)))))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) ux)) ux)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)))))
(neg.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -1 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 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (/ 1 ux) 1))
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (/ 1 ux) 1))
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 maxCos (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 maxCos (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 maxCos (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(neg.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (+.f32 (*.f32 ux maxCos) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (+.f32 (*.f32 ux maxCos) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(-.f32 (+.f32 (*.f32 ux maxCos) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))) maxCos)))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))) maxCos)))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))) maxCos)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(*.f32 (*.f32 (neg.f32 maxCos) #s(literal -1 binary32)) (+.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(*.f32 (*.f32 (neg.f32 maxCos) #s(literal -1 binary32)) (+.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(*.f32 (*.f32 (neg.f32 maxCos) #s(literal -1 binary32)) (+.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))) maxCos)))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (/ 1 ux) 1))
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (/ 1 ux) 1))
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 2)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(+ 1 (* -1 (pow ux 2)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(+ 1 (* -1 (pow ux 2)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* -1 (pow ux 2))
(-.f32 #s(literal 0 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(*.f32 ux (*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(*.f32 ux (*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(*.f32 ux (*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(* -1 (pow ux 2))
(-.f32 #s(literal 0 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(*.f32 ux (*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(*.f32 ux (*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(*.f32 ux (*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 6)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))
(+ 1 (* -1 (pow ux 6)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))
(+ 1 (* -1 (pow ux 6)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))
(* -1 (pow ux 6))
(-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* -1 (pow ux 6))
(-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(+ 1 (* ux (- maxCos 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 maxCos (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 maxCos (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 maxCos (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(neg.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))
(- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))
(+.f32 (*.f32 ux maxCos) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))
(+.f32 (*.f32 ux maxCos) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))))
(- (+ (* maxCos ux) (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))
(+.f32 (*.f32 ux maxCos) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))) (/ (pow ux 6) (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))) maxCos)))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))) (/ (pow ux 6) (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))) maxCos)))
(* maxCos (- (+ ux (/ 1 (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))) (/ (pow ux 6) (* maxCos (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))) maxCos)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) maxCos)))))
(*.f32 (*.f32 (neg.f32 maxCos) #s(literal -1 binary32)) (+.f32 ux (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) maxCos)))))
(*.f32 (*.f32 (neg.f32 maxCos) #s(literal -1 binary32)) (+.f32 ux (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2)))))) (/ (pow ux 6) (* (+ 1 ux) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))) maxCos)))))
(*.f32 (*.f32 (neg.f32 maxCos) #s(literal -1 binary32)) (+.f32 ux (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))))) (/.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux 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 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (/ 1 ux) 1))
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (/ 1 ux) 1))
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 6)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))
(+ 1 (* -1 (pow ux 6)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))
(+ 1 (* -1 (pow ux 6)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))
(* -1 (pow ux 6))
(-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* -1 (pow ux 6))
(-.f32 #s(literal 0 binary32) (pow.f32 ux #s(literal 6 binary32)))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
(* (pow ux 6) (- (/ 1 (pow ux 6)) 1))
(*.f32 (pow.f32 ux #s(literal 6 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* -2 ux))
(+.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -2 binary32)))
(+ 1 (* ux (- ux 2)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -2 binary32))))
(+ 1 (* ux (- ux 2)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -2 binary32))))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) ux)))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(*.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(*.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) ux))))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) ux)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)))
(* -1 (* maxCos ux))
(-.f32 #s(literal 0 binary32) (*.f32 ux maxCos))
(* ux (+ (* -1 maxCos) (* maxCos (* ux (+ 1 maxCos)))))
(*.f32 ux (*.f32 maxCos (+.f32 #s(literal -1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)))))
(* ux (+ (* -1 maxCos) (* maxCos (* ux (+ 1 maxCos)))))
(*.f32 ux (*.f32 maxCos (+.f32 #s(literal -1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)))))
(* ux (+ (* -1 maxCos) (* maxCos (* ux (+ 1 maxCos)))))
(*.f32 ux (*.f32 maxCos (+.f32 #s(literal -1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) maxCos)))))
(* maxCos (* (pow ux 2) (+ 1 maxCos)))
(*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 ux (*.f32 ux maxCos)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(*.f32 (*.f32 ux ux) (-.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos ux)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(*.f32 (*.f32 ux ux) (-.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos ux)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(*.f32 (*.f32 ux ux) (-.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos ux)))
(* maxCos (* (pow ux 2) (+ 1 maxCos)))
(*.f32 (+.f32 #s(literal 1 binary32) maxCos) (*.f32 ux (*.f32 ux maxCos)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(*.f32 (*.f32 ux ux) (-.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos ux)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(*.f32 (*.f32 ux ux) (-.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos ux)))
(* (pow ux 2) (+ (* -1 (/ maxCos ux)) (* maxCos (+ 1 maxCos))))
(*.f32 (*.f32 ux ux) (-.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos ux)))
(* maxCos (* ux (- ux 1)))
(*.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- ux 1))))
(*.f32 maxCos (+.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) ux)) (*.f32 ux (*.f32 ux maxCos))))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- ux 1))))
(*.f32 maxCos (+.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) ux)) (*.f32 ux (*.f32 ux maxCos))))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- ux 1))))
(*.f32 maxCos (+.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) ux)) (*.f32 ux (*.f32 ux maxCos))))
(* (pow maxCos 2) (pow ux 2))
(*.f32 ux (*.f32 ux (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))))
(* (pow maxCos 2) (pow ux 2))
(*.f32 ux (*.f32 ux (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))))
(* (pow maxCos 2) (+ (/ (* ux (- ux 1)) maxCos) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) 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)
(* maxCos ux)
(*.f32 ux maxCos)
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 binary32))
(pow ux 6)
(pow.f32 ux #s(literal 6 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)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(pow ux 5)
(pow.f32 ux #s(literal 5 binary32))
(* (pow ux 5) (+ 1 (/ 1 ux)))
(*.f32 (pow.f32 ux #s(literal 5 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* (pow ux 5) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(*.f32 (pow.f32 ux #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(* (pow ux 5) (+ 1 (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))))))
(*.f32 (pow.f32 ux #s(literal 5 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))))
(pow ux 5)
(pow.f32 ux #s(literal 5 binary32))
(* (pow ux 5) (+ 1 (/ 1 ux)))
(*.f32 (pow.f32 ux #s(literal 5 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* (pow ux 5) (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) (*.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 5 binary32))))
(* -1 (* (pow ux 5) (- (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 ux))) (*.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 5 binary32))))

eval234.0ms (3.3%)

Compiler

Compiled 98670 to 4771 computations (95.2% saved)

prune267.0ms (3.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New187931882
Fresh000
Picked325
Done022
Total188271889
Accuracy
100.0%
Counts
1889 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.1%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
✓98.2%
(-.f32 #s(literal 1 binary32) ux)
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓99.9%
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
▶97.2%
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
▶99.2%
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
✓71.7%
#s(literal 1 binary32)
Compiler

Compiled 64 to 48 computations (25% saved)

simplify171.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(*.f32 ux ux)
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓cost-diff192
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(/.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
✓cost-diff128
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
✓cost-diff0
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
✓cost-diff64
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
Rules
2114×*-lowering-*.f32
2114×*-lowering-*.f64
1528×fmsub-define
1462×fma-lowering-fma.f32
1462×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01553
14953
29053
315550
440350
5125950
6431050
0826050
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* maxCos (+ ux (/ (- 1 ux) maxCos)))
maxCos
(+ ux (/ (- 1 ux) maxCos))
ux
(/ (- 1 ux) maxCos)
(- 1 ux)
1
(* ux (+ -1 (/ 1 ux)))
ux
(+ -1 (/ 1 ux))
-1
(/ 1 ux)
1
(/ (- 1 (* ux ux)) (+ 1 ux))
(- 1 (* ux ux))
1
(* ux ux)
ux
(+ 1 ux)
Outputs
(* maxCos (+ ux (/ (- 1 ux) maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
maxCos
(+ ux (/ (- 1 ux) maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
ux
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(* ux (+ -1 (/ 1 ux)))
(-.f32 #s(literal 1 binary32) ux)
ux
(+ -1 (/ 1 ux))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
-1
#s(literal -1 binary32)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(/ (- 1 (* ux ux)) (+ 1 ux))
(-.f32 #s(literal 1 binary32) ux)
(- 1 (* ux ux))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
1
#s(literal 1 binary32)
(* ux ux)
(*.f32 ux ux)
ux
(+ 1 ux)
(+.f32 ux #s(literal 1 binary32))

localize85.0ms (1.2%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) ux)
✓accuracy100.0%
(*.f32 ux ux)
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓accuracy98.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) ux)
✓accuracy99.9%
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
✓accuracy99.0%
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy99.9%
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
✓accuracy99.5%
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
✓accuracy99.0%
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
Results
56.0ms250×0valid
6.0ms6×5exit
Compiler

Compiled 71 to 17 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 8.0ms (37.2% of total)
ival-mult: 5.0ms (23.3% of total)
ival-add: 4.0ms (18.6% of total)
ival-sub: 3.0ms (14% of total)
backward-pass: 1.0ms (4.7% of total)
const: 1.0ms (4.7% of total)

series7.0ms (0.1%)

Counts
11 → 168
Calls
Call 1
Inputs
#<alt (* maxCos (+ ux (/ (- 1 ux) maxCos)))>
#<alt (+ ux (/ (- 1 ux) maxCos))>
#<alt (/ (- 1 ux) maxCos)>
#<alt (- 1 ux)>
#<alt (* ux (+ -1 (/ 1 ux)))>
#<alt (+ -1 (/ 1 ux))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (* ux ux)) (+ 1 ux))>
#<alt (- 1 (* ux ux))>
#<alt (* ux ux)>
#<alt (+ 1 ux)>
Outputs
#<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 (- 1 (/ 1 maxCos)))))>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (* maxCos (* ux (- 1 (/ 1 maxCos))))>
#<alt (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))>
#<alt (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))>
#<alt (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))>
#<alt (* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))>
#<alt (* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))>
#<alt (/ 1 maxCos)>
#<alt (+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))>
#<alt (+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))>
#<alt (+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- (+ 1 (/ 1 (* maxCos ux))) (/ 1 maxCos)))>
#<alt (* ux (- (+ 1 (/ 1 (* maxCos ux))) (/ 1 maxCos)))>
#<alt (* ux (- (+ 1 (/ 1 (* maxCos ux))) (/ 1 maxCos)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux))))))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux))))))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux))))))>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- (+ 1 (* maxCos ux)) ux) maxCos)>
#<alt (/ (- (+ 1 (* maxCos ux)) ux) maxCos)>
#<alt (/ (- (+ 1 (* maxCos ux)) ux) maxCos)>
#<alt ux>
#<alt (- (+ ux (/ 1 maxCos)) (/ ux maxCos))>
#<alt (- (+ ux (/ 1 maxCos)) (/ ux maxCos))>
#<alt (- (+ ux (/ 1 maxCos)) (/ ux maxCos))>
#<alt ux>
#<alt (- (+ ux (/ 1 maxCos)) (/ ux maxCos))>
#<alt (- (+ ux (/ 1 maxCos)) (/ ux maxCos))>
#<alt (- (+ ux (/ 1 maxCos)) (/ ux maxCos))>
#<alt (/ 1 maxCos)>
#<alt (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))>
#<alt (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))>
#<alt (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))>
#<alt (* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))>
#<alt (* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 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 (* -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 (* -1 ux)) ux)>
#<alt (/ (+ 1 (* -1 ux)) ux)>
#<alt (/ (+ 1 (* -1 ux)) ux)>
#<alt -1>
#<alt (- (/ 1 ux) 1)>
#<alt (- (/ 1 ux) 1)>
#<alt (- (/ 1 ux) 1)>
#<alt -1>
#<alt (- (/ 1 ux) 1)>
#<alt (- (/ 1 ux) 1)>
#<alt (- (/ 1 ux) 1)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt (/ 1 ux)>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
Calls

42 calls:

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

rewrite397.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
4262×/-lowering-/.f32
4262×/-lowering-/.f64
2900×*-lowering-*.f32
2900×*-lowering-*.f64
1656×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01545
111545
2105242
0866342
Stop Event
1×iter limit
1×node limit
Counts
11 → 1002
Calls
Call 1
Inputs
(* maxCos (+ ux (/ (- 1 ux) maxCos)))
(+ ux (/ (- 1 ux) maxCos))
(/ (- 1 ux) maxCos)
(- 1 ux)
(* ux (+ -1 (/ 1 ux)))
(+ -1 (/ 1 ux))
(/ 1 ux)
(/ (- 1 (* ux ux)) (+ 1 ux))
(- 1 (* ux ux))
(* ux ux)
(+ 1 ux)
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 maxCos ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos ux))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos (*.f32 maxCos ux))
(fma.f32 (*.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos ux))
(-.f32 (/.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (+.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) ux))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) ux))))
(/.f32 maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) ux)) (-.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))) (*.f32 maxCos (+.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos)) (*.f32 maxCos (-.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (+.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))) maxCos)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos)) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos))) maxCos)))
(/.f32 (+.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (-.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (+.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) ux)))
(/.f32 (*.f32 maxCos (+.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux))))) (+.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (*.f32 maxCos (-.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)))) (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos)))
(/.f32 (*.f32 (+.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))) maxCos) (+.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos))) maxCos) (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos)))
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (neg.f32 (+.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (+.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) ux))))
(/.f32 (neg.f32 (*.f32 maxCos (+.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))))) (neg.f32 (+.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux))))))
(/.f32 (neg.f32 (*.f32 maxCos (-.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos))))) (neg.f32 (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))))
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))) maxCos)) (neg.f32 (+.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux))))))
(/.f32 (neg.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos))) maxCos)) (neg.f32 (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))))
(/.f32 (+.f32 (*.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 maxCos (*.f32 maxCos maxCos)))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(*.f32 (+.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (-.f32 (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) ux))))
(*.f32 (*.f32 maxCos (+.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (*.f32 maxCos (-.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)))) (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))))
(*.f32 (*.f32 (+.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))) maxCos) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos))) maxCos) (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)
(+.f32 (/.f32 #s(literal 1 binary32) maxCos) (neg.f32 (-.f32 (/.f32 ux maxCos) ux)))
(+.f32 (/.f32 (*.f32 ux ux) (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (+.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos)))))
(+.f32 (+.f32 ux (/.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) #s(literal -1 binary32))
(fma.f32 ux #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(fma.f32 #s(literal 1 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos) (neg.f32 (-.f32 (/.f32 ux maxCos) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos) ux)
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 ux #s(literal 1 binary32)))) ux)
(fma.f32 (+.f32 #s(literal -1 binary32) ux) (/.f32 #s(literal -1 binary32) maxCos) ux)
(fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 ux (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos))
(-.f32 (/.f32 #s(literal 1 binary32) maxCos) (-.f32 (/.f32 ux maxCos) ux))
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(-.f32 (+.f32 ux (/.f32 #s(literal 1 binary32) maxCos)) (/.f32 ux maxCos))
(-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos)) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (/.f32 (*.f32 ux ux) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) #s(literal 1 binary32)))
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(/.f32 (+.f32 (*.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 1 binary32)))) maxCos)) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 1 binary32)))) maxCos)))
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(fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
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(-.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)) (/.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
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(/.f32 (+.f32 (*.f32 ux ux) #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32)))
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(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))) (*.f32 ux ux))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) ux)))
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(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (+.f32 (*.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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (-.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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) ux)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 1 binary32)))))))
(*.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) ux))))
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(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (+.f32 (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (-.f32 #s(literal -1 binary32) ux))
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(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) ux) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) ux))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux))))
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(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (-.f32 #s(literal 1 binary32) ux)))
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(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))))

simplify178.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1724×*-lowering-*.f32
1724×*-lowering-*.f64
1464×fnmadd-define
1412×sum3-define
1186×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069730
1200653
2552643
31766643
45781643
08118643
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(- 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 (/ 1 maxCos)))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(/ 1 maxCos)
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- (+ 1 (/ 1 (* maxCos ux))) (/ 1 maxCos)))
(* ux (- (+ 1 (/ 1 (* maxCos ux))) (/ 1 maxCos)))
(* ux (- (+ 1 (/ 1 (* maxCos ux))) (/ 1 maxCos)))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(* -1 (* ux (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux))))))
(* -1 (* ux (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux))))))
(* -1 (* ux (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux))))))
(/ (- 1 ux) maxCos)
(/ (- (+ 1 (* maxCos ux)) ux) maxCos)
(/ (- (+ 1 (* maxCos ux)) ux) maxCos)
(/ (- (+ 1 (* maxCos ux)) ux) maxCos)
ux
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
ux
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(/ 1 maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(* -1 (/ ux maxCos))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(* -1 (/ ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 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 (* -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 (* -1 ux)) ux)
(/ (+ 1 (* -1 ux)) ux)
(/ (+ 1 (* -1 ux)) ux)
-1
(- (/ 1 ux) 1)
(- (/ 1 ux) 1)
(- (/ 1 ux) 1)
-1
(- (/ 1 ux) 1)
(- (/ 1 ux) 1)
(- (/ 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
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(- (+ 1 (* maxCos ux)) ux)
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(- (+ 1 (* maxCos ux)) ux)
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- (+ 1 (/ 1 (* maxCos ux))) (/ 1 maxCos)))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* ux (- (+ 1 (/ 1 (* maxCos ux))) (/ 1 maxCos)))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* ux (- (+ 1 (/ 1 (* maxCos ux))) (/ 1 maxCos)))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux))))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* -1 (* ux (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux))))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* -1 (* ux (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux))))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- (+ 1 (* maxCos ux)) ux) maxCos)
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/ (- (+ 1 (* maxCos ux)) ux) maxCos)
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/ (- (+ 1 (* maxCos ux)) ux) maxCos)
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
ux
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
ux
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(- (+ ux (/ 1 maxCos)) (/ ux maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.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 (* -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)
(/.f32 #s(literal 1 binary32) ux)
(/ (+ 1 (* -1 ux)) ux)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(/ (+ 1 (* -1 ux)) ux)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(/ (+ 1 (* -1 ux)) ux)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
-1
#s(literal -1 binary32)
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
-1
#s(literal -1 binary32)
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 2)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(+ 1 (* -1 (pow ux 2)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(+ 1 (* -1 (pow ux 2)))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* -1 (pow ux 2))
(-.f32 #s(literal 0 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* -1 (pow ux 2))
(-.f32 #s(literal 0 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)

eval149.0ms (2.1%)

Compiler

Compiled 27330 to 2773 computations (89.9% saved)

prune172.0ms (2.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New116821170
Fresh000
Picked213
Done044
Total117071177
Accuracy
100.0%
Counts
1177 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.1%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
▶84.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓98.2%
(-.f32 #s(literal 1 binary32) ux)
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓99.9%
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
▶97.5%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos)
✓71.7%
#s(literal 1 binary32)
Compiler

Compiled 60 to 45 computations (25% saved)

simplify134.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
✓cost-diff128
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos)
Rules
1700×sum3-define
1684×*-lowering-*.f32
1684×*-lowering-*.f64
1132×/-lowering-/.f32
1132×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0831
12131
23327
36123
413423
535523
698323
7314823
0820923
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (- 1 ux) maxCos) maxCos)
(/ (- 1 ux) maxCos)
(- 1 ux)
1
ux
maxCos
(/ 1 (+ 1 ux))
1
(+ 1 ux)
ux
Outputs
(* (/ (- 1 ux) maxCos) maxCos)
(-.f32 #s(literal 1 binary32) ux)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
maxCos
(/ 1 (+ 1 ux))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
ux

localize45.0ms (0.6%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) ux)
✓accuracy98.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy99.5%
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
✓accuracy99.0%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos)
Results
31.0ms250×0valid
3.0ms6×5exit
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (35.9% of total)
ival-sub: 3.0ms (26.9% of total)
ival-mult: 2.0ms (17.9% of total)
ival-add: 1.0ms (9% of total)
backward-pass: 1.0ms (9% of total)
const: 0.0ms (0% of total)

series1.0ms (0%)

Counts
5 → 84
Calls
Call 1
Inputs
#<alt (* (/ (- 1 ux) maxCos) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (- 1 ux)>
#<alt (/ 1 (+ 1 ux))>
#<alt (+ 1 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 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 maxCos)>
#<alt (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))>
#<alt (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))>
#<alt (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))>
#<alt (* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))>
#<alt (* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 1 ux) maxCos)>
#<alt (/ (- 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 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
Calls

21 calls:

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

rewrite349.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
2312×fma-lowering-fma.f32
2312×fma-lowering-fma.f64
2004×/-lowering-/.f32
2004×/-lowering-/.f64
1910×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0826
15226
237018
3392518
0803418
Stop Event
1×iter limit
1×node limit
Counts
5 → 782
Calls
Call 1
Inputs
(* (/ (- 1 ux) maxCos) maxCos)
(/ (- 1 ux) maxCos)
(- 1 ux)
(/ 1 (+ 1 ux))
(+ 1 ux)
Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(neg.f32 (*.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos) maxCos))
(neg.f32 (*.f32 maxCos (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos)))
(neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (neg.f32 maxCos)))
(neg.f32 (/.f32 (*.f32 maxCos (+.f32 ux #s(literal -1 binary32))) maxCos))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) (*.f32 maxCos (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)) maxCos))
(+.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 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(+.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))))
(+.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (*.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 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (*.f32 (*.f32 ux (+.f32 ux #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))))
(+.f32 (*.f32 (*.f32 ux (+.f32 ux #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))))
(pow.f32 (/.f32 #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)) (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 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 ux (+.f32 ux #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (-.f32 #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) (+.f32 #s(literal 1 binary32) 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) (/.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 (*.f32 ux (+.f32 ux #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))))
(fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 #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) (-.f32 #s(literal -1 binary32) ux)) #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 ux ux) (+.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)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) #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) (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (*.f32 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) (*.f32 ux (*.f32 ux ux)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))) #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) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.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 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 ux (+.f32 ux #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (/.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) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 #s(literal 1 binary32) (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)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.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 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 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) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 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) (*.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) (*.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #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 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (+.f32 #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) (+.f32 #s(literal -1 binary32) (*.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) (-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 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 (*.f32 ux ux) #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (+.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) (*.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 (*.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 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (neg.f32 (/.f32 (*.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 #s(literal 0 binary32) (+.f32 ux #s(literal -1 binary32)))
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(fma.f32 ux (/.f32 #s(literal -1 binary32) maxCos) (/.f32 #s(literal 1 binary32) maxCos))
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(fma.f32 #s(literal -1 binary32) (/.f32 ux maxCos) (/.f32 #s(literal 1 binary32) maxCos))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) maxCos) (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)))
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(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) maxCos) (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) maxCos) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
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(fma.f32 (pow.f32 (/.f32 maxCos (-.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 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
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(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) maxCos) (+.f32 #s(literal 1 binary32) ux)) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (pow.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1/2 binary32)) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (pow.f32 maxCos #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)))
(fma.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))))
(fma.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (neg.f32 ux)))
(fma.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) maxCos) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) (-.f32 #s(literal -1 binary32) ux)) #s(literal -1 binary32) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal -1 binary32)) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) (+.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) (+.f32 (*.f32 ux ux) #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) maxCos) ux) (/.f32 ux maxCos)))
(-.f32 #s(literal 0 binary32) (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))
(-.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 ux maxCos))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) maxCos) (/.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) maxCos))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) maxCos) (/.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) maxCos))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 maxCos)) (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (*.f32 maxCos (+.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 maxCos (*.f32 maxCos maxCos)) (/.f32 (*.f32 ux maxCos) (*.f32 maxCos maxCos)))
(-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (/.f32 ux maxCos) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (*.f32 (/.f32 ux maxCos) (/.f32 (/.f32 ux maxCos) (/.f32 maxCos ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (/.f32 ux maxCos) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos))))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos))) (/.f32 (/.f32 (/.f32 ux maxCos) (/.f32 maxCos ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos))))
(/.f32 #s(literal 1 binary32) (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 maxCos maxCos) (-.f32 maxCos (*.f32 ux maxCos))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (/.f32 ux maxCos) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 (/.f32 ux maxCos) (/.f32 (/.f32 ux maxCos) (/.f32 maxCos ux))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) maxCos)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 maxCos (+.f32 ux #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 maxCos)))
(/.f32 (+.f32 ux #s(literal -1 binary32)) (neg.f32 maxCos))
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (*.f32 maxCos (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 maxCos (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (neg.f32 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (neg.f32 maxCos) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (*.f32 maxCos maxCos))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 maxCos (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 (neg.f32 maxCos) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (*.f32 maxCos (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (*.f32 (neg.f32 maxCos) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (neg.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 (/.f32 ux maxCos) (/.f32 (/.f32 ux maxCos) (/.f32 maxCos ux)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (/.f32 ux maxCos) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (*.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (*.f32 maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) maxCos) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 maxCos ux)) maxCos) (*.f32 maxCos (/.f32 maxCos ux)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 maxCos)) (*.f32 maxCos (neg.f32 ux))) (*.f32 maxCos (neg.f32 maxCos)))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 maxCos ux)) (*.f32 (neg.f32 maxCos) #s(literal 1 binary32))) (*.f32 (neg.f32 maxCos) (/.f32 maxCos ux)))
(/.f32 (-.f32 (neg.f32 maxCos) (*.f32 (neg.f32 maxCos) ux)) (*.f32 (neg.f32 maxCos) maxCos))
(/.f32 (-.f32 maxCos (*.f32 (neg.f32 maxCos) (neg.f32 ux))) (*.f32 (neg.f32 maxCos) (neg.f32 maxCos)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (*.f32 maxCos (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (*.f32 maxCos (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))) (neg.f32 maxCos)))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))) (neg.f32 maxCos)))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) maxCos))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 maxCos)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) ux) maxCos))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) ux) (neg.f32 maxCos)))
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))))
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 maxCos) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (neg.f32 (-.f32 maxCos (*.f32 ux maxCos))) (neg.f32 (*.f32 maxCos maxCos)))
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(/.f32 (neg.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos))))
(/.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) maxCos)) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos)) (-.f32 #s(literal -1 binary32) ux))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 maxCos (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 maxCos (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32)) maxCos)
(/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)) #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)) (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))) (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)) (-.f32 #s(literal 0 binary32) (/.f32 ux maxCos)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 maxCos maxCos))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 (/.f32 ux maxCos) (/.f32 (/.f32 ux maxCos) (/.f32 maxCos ux))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (/.f32 ux maxCos) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) maxCos)) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) maxCos) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (-.f32 #s(literal -1 binary32) ux))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal -1 binary32) ux))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal -1 binary32) maxCos)) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) maxCos)) (-.f32 #s(literal -1 binary32) ux))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) maxCos)) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) maxCos) maxCos)
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(-.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 #s(literal 0 binary32) (+.f32 ux #s(literal -1 binary32)))
(-.f32 (neg.f32 ux) #s(literal -1 binary32))
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(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(/.f32 maxCos (/.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 maxCos) (/.f32 maxCos (+.f32 ux #s(literal -1 binary32))))
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(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos)
(/.f32 (*.f32 maxCos (+.f32 ux #s(literal -1 binary32))) (neg.f32 maxCos))
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(/.f32 (*.f32 maxCos (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 maxCos (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
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(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) maxCos) (*.f32 (-.f32 #s(literal -1 binary32) ux) maxCos))
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(/.f32 (neg.f32 (*.f32 maxCos (+.f32 ux #s(literal -1 binary32)))) maxCos)
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(/.f32 (/.f32 maxCos (/.f32 maxCos (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) ux))
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(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (+.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))
(*.f32 (+.f32 (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.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)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux))))
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal -1 binary32) ux))
(*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (-.f32 #s(literal -1 binary32) ux))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 ux #s(literal -1 binary32))) (*.f32 (*.f32 ux (+.f32 ux #s(literal -1 binary32))) (*.f32 ux (+.f32 ux #s(literal -1 binary32))))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 ux #s(literal -1 binary32))) (-.f32 (*.f32 ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 ux #s(literal -1 binary32))) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal -1 binary32)))))

simplify204.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1956×sum4-define
1886×sum3-define
1860×fma-lowering-fma.f32
1860×fma-lowering-fma.f64
1752×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056378
1163330
2367328
31102325
43608325
08152325
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
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 ux)
(- 1 ux)
(- 1 ux)
(- 1 ux)
(- 1 ux)
(- 1 ux)
(- 1 ux)
(- 1 ux)
(- 1 ux)
(- 1 ux)
(- 1 ux)
(- 1 ux)
(/ 1 maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(* -1 (/ ux maxCos))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(* -1 (/ ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 1 ux) maxCos)
(/ (- 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 (* -1 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(/ 1 ux)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/ 1 ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
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 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (- 1 ux) maxCos)
(/.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 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) ux)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)

eval97.0ms (1.4%)

Compiler

Compiled 17497 to 1799 computations (89.7% saved)

prune166.0ms (2.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New8660866
Fresh000
Picked022
Done055
Total8667873
Accuracy
100.0%
Counts
873 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.1%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
✓84.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓98.2%
(-.f32 #s(literal 1 binary32) ux)
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓99.9%
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
✓97.5%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos)
✓71.7%
#s(literal 1 binary32)
Compiler

Compiled 209 to 92 computations (56% saved)

regimes22.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos)
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) 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 ux ux)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (+.f32 (*.f32 ux ux) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux maxCos) (*.f32 maxCos (*.f32 ux (*.f32 ux maxCos))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (*.f32 maxCos (-.f32 (*.f32 ux (+.f32 maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
Calls

4 calls:

8.0ms
ux
5.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
maxCos
4.0ms
uy
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) maxCos)
Outputs
(-.f32 #s(literal 1 binary32) ux)
Calls

3 calls:

2.0ms
ux
2.0ms
uy
2.0ms
maxCos
Results
AccuracySegmentsBranch
98.2%1ux
98.2%1uy
98.2%1maxCos
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

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

3 calls:

1.0ms
uy
1.0ms
maxCos
1.0ms
ux
Results
AccuracySegmentsBranch
71.7%1ux
71.7%1uy
71.7%1maxCos
Compiler

Compiled 12 to 9 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary32
4×*-commutative_binary32
4×sub-neg_binary32
2×neg-sub0_binary32
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11611
21911
32111
42211
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

soundness456.0ms (6.4%)

Rules
1996×*-lowering-*.f32
1996×*-lowering-*.f64
1482×sum3-define
1226×--lowering--.f32
1226×--lowering--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064539
1209478
2564478
31477478
44427478
57236478
08051478
067
1146
2356
3706
41826
54856
615316
721296
822646
922846
022846
Stop Event
1×done
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 54 to 42 computations (22.2% saved)

preprocess53.0ms (0.7%)

Remove

(abs uy)

Compiler

Compiled 88 to 64 computations (27.3% saved)

end0.0ms (0%)

Profiling

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