UniformSampleCone, z

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze128.0ms (2.5%)

Memory
13.8MiB live, 122.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
25%0%0.1%99.9%0%0%0%3
25%0%0.1%99.9%0%0%0%4
37.5%0%0.1%99.9%0%0%0%5
56.2%0.1%0%99.9%0%0%0%6
56.2%0.1%0%99.9%0%0%0%7
65.6%0.1%0%99.9%0%0%0%8
76.6%0.1%0%99.9%0%0%0%9
76.6%0.1%0%99.9%0%0%0%10
82%0.1%0%99.9%0%0%0%11
87.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (19.9%)

Memory
80.0MiB live, 1 326.8MiB allocated
Samples
665.0ms8 177×0valid
12.0ms79×1valid
Precisions
Click to see histograms. Total time spent on operations: 457.0ms
const: 138.0ms (30.2% of total)
ival-<=: 131.0ms (28.7% of total)
ival-mult: 53.0ms (11.6% of total)
ival-sub: 48.0ms (10.5% of total)
ival-add: 43.0ms (9.4% of total)
ival-and: 31.0ms (6.8% of total)
exact: 8.0ms (1.8% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain59.0ms (1.2%)

Memory
5.9MiB live, 87.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
23.0ms506×0valid
0.0ms1valid
Compiler

Compiled 59 to 32 computations (45.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (45.8% of total)
ival-add: 3.0ms (27.5% of total)
ival-sub: 2.0ms (18.3% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess60.0ms (1.2%)

Memory
9.8MiB live, 46.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs uy)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify18.0ms (0.4%)

Memory
-18.1MiB live, 18.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 ux maxCos)
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Iterations

Useful iterations: 0 (0.0ms)

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

localize15.0ms (0.3%)

Memory
22.8MiB live, 22.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.0
(*.f32 ux maxCos)
accuracy0.03515625
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms253×0valid
0.0ms1valid
Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.9% of total)
ival-add: 1.0ms (22% of total)
ival-sub: 1.0ms (22% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
Calls

9 calls:

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

simplify160.0ms (3.2%)

Memory
-0.5MiB live, 75.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03970
111070
230670
385170
4210170
5331170
6429270
7532370
8675470
9729470
10762670
11794270
0845264
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #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 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)

rewrite173.0ms (3.4%)

Memory
1.8MiB live, 221.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14213
234313
3526813
0896812
Stop Event
iter limit
node limit
iter limit
Counts
3 → 311
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
Outputs
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)))) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux ux) maxCos)))
(*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)))) (fma.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(*.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(*.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(*.f32 (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (pow.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
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(*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)))) (exp.f32 (log.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (exp.f32 (log.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log1p.f32 (*.f32 (neg.f32 ux) ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 ux #s(literal 3 binary32)))) (exp.f32 (log1p.f32 (fma.f32 ux ux ux))))
(/.f32 (/.f32 (-.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)))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 ux ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (pow.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)) (*.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (+.f32 (pow.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))))
(/.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -3 binary32)) (*.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -3 binary32)))) (+.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
(/.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) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.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) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
(-.f32 #s(literal 0 binary32) (-.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))) (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 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) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #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) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.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 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 ux)))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) ux)
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 ux)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 ux))
(neg.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(*.f32 (exp.f32 (log.f32 maxCos)) ux)
(*.f32 (*.f32 maxCos #s(literal 1 binary32)) ux)
(*.f32 (*.f32 maxCos ux) #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 ux (exp.f32 (log.f32 maxCos)))
(*.f32 ux (*.f32 #s(literal 1 binary32) maxCos))
(*.f32 ux maxCos)
(*.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(pow.f32 (*.f32 maxCos ux) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 maxCos ux)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 maxCos ux)))

eval301.0ms (5.9%)

Memory
2.7MiB live, 63.3MiB allocated
Compiler

Compiled 5 938 to 783 computations (86.8% saved)

prune9.0ms (0.2%)

Memory
-25.1MiB live, 16.4MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3144318
Fresh000
Picked011
Done000
Total3145319
Accuracy
100.0%
Counts
319 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
68.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 58 to 47 computations (19% saved)

simplify158.0ms (3.1%)

Memory
5.8MiB live, 155.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
cost-diff64
(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
cost-diff160
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
cost-diff3072
(+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
cost-diff0
(*.f32 maxCos ux)
cost-diff0
(-.f32 ux (*.f32 maxCos ux))
cost-diff64
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
cost-diff0
(-.f32 #s(literal 1 binary32) ux)
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022131
034123
175123
2183123
3859123
43276123
08183118
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
(fma.f32 maxCos ux ux)
maxCos
ux
#s(literal 3 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (fma.f32 (fma.f32 (fma.f32 maxCos ux ux) ux ux) (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
(fma.f32 maxCos ux ux)
maxCos
ux
#s(literal 3 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(fma.f32 (fma.f32 (fma.f32 maxCos ux ux) ux ux) (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(*.f32 (fma.f32 (fma.f32 maxCos ux ux) ux ux) (+.f32 maxCos #s(literal 1 binary32)))
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(fma.f32 maxCos ux ux)

localize53.0ms (1%)

Memory
28.3MiB live, 64.7MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.13509750976844204
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
accuracy0.1855850586106521
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
accuracy0.36328125
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
accuracy28.98816167292071
(fma.f32 maxCos ux ux)
accuracy0.0
(*.f32 maxCos ux)
accuracy0.014003759768442016
(-.f32 ux (*.f32 maxCos ux))
accuracy0.037441259768442016
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy0.0
(-.f32 #s(literal 1 binary32) ux)
accuracy0.6255334160147973
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy10.00004725283278
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Samples
39.0ms249×0valid
2.0ms1valid
Compiler

Compiled 270 to 46 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 5.0ms (23.9% of total)
ival-add: 4.0ms (19.1% of total)
ival-mult: 4.0ms (19.1% of total)
ival-pow: 3.0ms (14.4% of total)
ival-pow2: 2.0ms (9.6% of total)
ival-div: 1.0ms (4.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory
-12.5MiB live, 24.4MiB allocated
Counts
13 → 85
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
(+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(fma.f32 maxCos ux ux)
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
Outputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(* ux (- 1 maxCos))
(* maxCos ux)
(* ux (+ 1 maxCos))
(* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2)))))
(+ 1 (* ux (+ 1 maxCos)))
(+ 1 (* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2))))))
(+ 1 (* -1 (* ux (+ 1 maxCos))))
(+ 1 (* ux (- (* -1 (* ux (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(+ 1 (* ux (- (* ux (- (* ux (* (+ 1 maxCos) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2)))))
(* -1 (* ux (+ 1 maxCos)))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) (+ 1 (/ 1 ux))) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* ux (- (* -1 maxCos) 1))
(* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux))))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (pow ux 2))
(+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2)))
(+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2)))
(+ ux (* maxCos ux))
(+ 1 (+ ux (pow ux 2)))
(+ 1 (+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2))))
(+ 1 (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2))))
(/ (- 1 (pow ux 3)) (+ 1 (+ ux (pow ux 2))))
(- (+ (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2))))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(pow ux 3)
(+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3)))) (pow ux 3))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (pow ux 3)) (pow ux 3)))) (pow ux 3)))) (pow ux 3))
(pow ux 2)
(+ (* 2 (* maxCos (pow ux 2))) (pow ux 2))
(+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))))
(* maxCos (+ ux (/ ux maxCos)))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))))
(* maxCos (- (+ (* -1 ux) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2))))) (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux)))))
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2)))))))
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))) (/ 1 (* (pow maxCos 3) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (+ (/ ux (pow maxCos 3)) (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 3) (pow ux 2))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) ux)) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (pow ux 2))))) (* (pow maxCos 3) (pow ux 2))))))))))
(* (pow maxCos 3) (pow ux 3))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (/ (pow ux 3) maxCos) (pow ux 3))))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (pow ux 3))))))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (+ (/ (pow ux 3) (pow maxCos 3)) (pow ux 3)))))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ ux (pow ux 2)) maxCos)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ 1 (+ ux (pow ux 2))) maxCos)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux)) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (* -1 (/ (- (/ 1 (pow ux 2)) (+ ux (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2))))))) (pow ux 2))))) maxCos))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) maxCos)) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (+ (* -1 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3)))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
maxCos
@0
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))
4.0ms
maxCos
@-inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))
3.0ms
maxCos
@inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))
2.0ms
ux
@inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))
2.0ms
ux
@-inf
((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))

simplify196.0ms (3.9%)

Memory
-13.1MiB live, 233.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03882113
112991973
247281956
082301788
Stop Event
iter limit
node limit
Counts
85 → 84
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(* ux (- 1 maxCos))
(* maxCos ux)
(* ux (+ 1 maxCos))
(* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2)))))
(+ 1 (* ux (+ 1 maxCos)))
(+ 1 (* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2))))))
(+ 1 (* -1 (* ux (+ 1 maxCos))))
(+ 1 (* ux (- (* -1 (* ux (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(+ 1 (* ux (- (* ux (- (* ux (* (+ 1 maxCos) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2)))))
(* -1 (* ux (+ 1 maxCos)))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) (+ 1 (/ 1 ux))) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* ux (- (* -1 maxCos) 1))
(* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux))))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (pow ux 2))
(+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2)))
(+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2)))
(+ ux (* maxCos ux))
(+ 1 (+ ux (pow ux 2)))
(+ 1 (+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2))))
(+ 1 (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2))))
(/ (- 1 (pow ux 3)) (+ 1 (+ ux (pow ux 2))))
(- (+ (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2))))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(pow ux 3)
(+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3)))) (pow ux 3))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (pow ux 3)) (pow ux 3)))) (pow ux 3)))) (pow ux 3))
(pow ux 2)
(+ (* 2 (* maxCos (pow ux 2))) (pow ux 2))
(+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))))
(* maxCos (+ ux (/ ux maxCos)))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))))
(* maxCos (- (+ (* -1 ux) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2))))) (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux)))))
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2)))))))
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))) (/ 1 (* (pow maxCos 3) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (+ (/ ux (pow maxCos 3)) (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 3) (pow ux 2))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) ux)) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (pow ux 2))))) (* (pow maxCos 3) (pow ux 2))))))))))
(* (pow maxCos 3) (pow ux 3))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (/ (pow ux 3) maxCos) (pow ux 3))))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (pow ux 3))))))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (+ (/ (pow ux 3) (pow maxCos 3)) (pow ux 3)))))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ ux (pow ux 2)) maxCos)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ 1 (+ ux (pow ux 2))) maxCos)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux)) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (* -1 (/ (- (/ 1 (pow ux 2)) (+ ux (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2))))))) (pow ux 2))))) maxCos))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) maxCos)) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (+ (* -1 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3)))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux maxCos) ux ux)
(+ 1 (* ux (+ 1 maxCos)))
(fma.f32 (+.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2))))))
(fma.f32 (fma.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (+.f32 maxCos #s(literal 1 binary32))) ux #s(literal 1 binary32))
(+ 1 (* -1 (* ux (+ 1 maxCos))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(+ 1 (* ux (- (* -1 (* ux (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(+ 1 (* ux (- (* ux (- (* ux (* (+ 1 maxCos) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(*.f32 (*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(fma.f32 (*.f32 (+.f32 (/.f32 maxCos ux) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux ux)
(* (pow ux 2) (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2)))))
(+.f32 (fma.f32 (+.f32 (/.f32 maxCos ux) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux) #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 maxCos)))
(*.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(*.f32 (*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(*.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)) ux) ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) (+ 1 (/ 1 ux))) ux)) (pow (- (* -1 maxCos) 1) 2)))
(*.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) maxCos) ux)) ux) ux)
(* ux (- (* -1 maxCos) 1))
(*.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)
(* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (pow ux 2))
(fma.f32 ux ux ux)
(+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2)))
(fma.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) maxCos (fma.f32 ux ux ux))
(+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2)))
(fma.f32 (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (*.f32 ux ux) ux) maxCos (fma.f32 ux ux ux))
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ 1 (+ ux (pow ux 2)))
(+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
(+ 1 (+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2))))
(+.f32 (fma.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) maxCos (fma.f32 ux ux ux)) #s(literal 1 binary32))
(+ 1 (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2))))
(+.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (*.f32 ux ux) ux) maxCos (fma.f32 ux ux ux)) #s(literal 1 binary32))
(/ (- 1 (pow ux 3)) (+ 1 (+ ux (pow ux 2))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(- (+ (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(fma.f32 (-.f32 (/.f32 (*.f32 #s(literal -3 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) maxCos (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) ux) ux) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) maxCos (-.f32 (/.f32 (*.f32 #s(literal -3 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))) maxCos (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2))))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (+.f32 (+.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))) (*.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -3 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))) maxCos (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) ux) ux) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) maxCos (-.f32 (/.f32 (*.f32 #s(literal -3 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))) maxCos (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3))
(fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32)) maxCos (pow.f32 ux #s(literal 3 binary32)))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3)))) (pow ux 3))
(fma.f32 (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32)) maxCos (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32))) maxCos (pow.f32 ux #s(literal 3 binary32)))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (pow ux 3)) (pow ux 3)))) (pow ux 3)))) (pow ux 3))
(fma.f32 (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32))) maxCos (pow.f32 ux #s(literal 3 binary32)))
(pow ux 2)
(*.f32 ux ux)
(+ (* 2 (* maxCos (pow ux 2))) (pow ux 2))
(*.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal 1 binary32)) (*.f32 ux ux))
(+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(fma.f32 (*.f32 (+.f32 #s(literal 2 binary32) maxCos) (*.f32 ux ux)) maxCos (*.f32 ux ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (pow ux 2))))
(*.f32 (*.f32 (fma.f32 (*.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 ux maxCos))) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))))
(*.f32 (fma.f32 (*.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (+.f32 (fma.f32 ux (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (/.f32 ux maxCos) maxCos)) (fma.f32 ux ux (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(* maxCos (+ ux (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))))
(fma.f32 (*.f32 (*.f32 (*.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32)) maxCos) maxCos (fma.f32 (+.f32 (fma.f32 ux (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (/.f32 ux maxCos) maxCos)) (fma.f32 ux ux (/.f32 ux maxCos))) (*.f32 maxCos maxCos) #s(literal 1 binary32)))
(* maxCos (- (+ (* -1 ux) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2))))) (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux)))))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) ux)) maxCos) ux) maxCos)
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2)))))))
(*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (*.f32 #s(literal -3 binary32) (/.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) maxCos)) (*.f32 ux ux))) ux) (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) ux)) (*.f32 maxCos maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) (*.f32 ux ux)) (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) maxCos) ux)))) maxCos)
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))) (/ 1 (* (pow maxCos 3) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (+ (/ ux (pow maxCos 3)) (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 3) (pow ux 2))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) ux)) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (pow ux 2))))) (* (pow maxCos 3) (pow ux 2))))))))))
(*.f32 (-.f32 (+.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (*.f32 ux ux) maxCos)) (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) ux) ux))) ux) (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (*.f32 (*.f32 maxCos maxCos) ux))) (/.f32 (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) maxCos) ux)) (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) ux)) (*.f32 ux ux)) (+.f32 (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) maxCos) maxCos)) (fma.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) ux)) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (*.f32 ux ux))) (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))))) maxCos)
(* (pow maxCos 3) (pow ux 3))
(*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (/ (pow ux 3) maxCos) (pow ux 3))))
(*.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (pow ux 3))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) maxCos) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (+.f32 (+.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) maxCos) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (+ (/ (pow ux 3) (pow maxCos 3)) (pow ux 3)))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) maxCos) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (+.f32 (+.f32 (+.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) maxCos)) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (*.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (*.f32 (fma.f32 (*.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (fma.f32 ux (/.f32 (/.f32 ux maxCos) maxCos) (*.f32 ux ux))) maxCos) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ ux (pow ux 2)) maxCos)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 ux ux)) ux) (/.f32 (fma.f32 ux ux ux) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ 1 (+ ux (pow ux 2))) maxCos)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) ux (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) maxCos) ux)) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux)) maxCos)))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux (+.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (+.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 ux ux)) ux) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux)))) maxCos)) #s(literal 1 binary32))) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (* -1 (/ (- (/ 1 (pow ux 2)) (+ ux (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2))))))) (pow ux 2))))) maxCos))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(*.f32 (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux (-.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 ux ux)) ux) (*.f32 ux ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) ux))) (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) ux) (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) ux) (fma.f32 (-.f32 (fma.f32 (/.f32 #s(literal 3 binary32) ux) (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 ux ux)) ux) (*.f32 ux ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) ux))) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 ux ux)) ux) (*.f32 ux ux)) ux))) maxCos))) maxCos))) maxCos)) (neg.f32 maxCos))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) maxCos)) (* -1 (pow ux 3)))))
(*.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(*.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32) (*.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) maxCos) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (+ (* -1 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3)))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(*.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32) (/.f32 (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) maxCos)) maxCos) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) ux (*.f32 ux (/.f32 ux maxCos))) maxCos)) (*.f32 maxCos maxCos))

rewrite255.0ms (5%)

Memory
-5.9MiB live, 255.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022112
034104
1184104
21476104
0865999
Stop Event
iter limit
node limit
iter limit
Counts
13 → 862
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
(+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(fma.f32 maxCos ux ux)
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))))
(/.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 ux)) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(pow.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (*.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))) (*.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32))) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))
(/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)))))
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(/.f32 (neg.f32 (*.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (neg.f32 (*.f32 (fma.f32 ux (-.f32 ux (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (*.f32 maxCos ux) ux))))
(/.f32 (neg.f32 (pow.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #s(literal 2 binary32))) (neg.f32 (pow.f32 (fma.f32 ux (-.f32 ux (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 ux ux)) (fma.f32 maxCos ux ux)) (-.f32 (*.f32 maxCos ux) ux))
(/.f32 (*.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 maxCos ux ux)) (fma.f32 ux (-.f32 ux (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (fma.f32 maxCos ux ux) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 ux ux))) (-.f32 (*.f32 maxCos ux) ux))
(/.f32 (*.f32 (fma.f32 maxCos ux ux) (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 ux (-.f32 ux (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(/.f32 (pow.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 ux ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 maxCos ux) ux) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (*.f32 (-.f32 (*.f32 maxCos ux) ux) (fma.f32 ux (-.f32 ux (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 ux ux))) (*.f32 (fma.f32 ux (-.f32 ux (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (*.f32 maxCos ux) ux)))
(/.f32 (pow.f32 (+.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 ux (-.f32 ux (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 2 binary32)))
(fma.f32 (fma.f32 maxCos ux ux) (*.f32 maxCos ux) (*.f32 (fma.f32 maxCos ux ux) ux))
(fma.f32 (fma.f32 maxCos ux ux) ux (*.f32 (fma.f32 maxCos ux ux) (*.f32 maxCos ux)))
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux ux) (*.f32 ux (fma.f32 maxCos ux ux)))
(fma.f32 ux (fma.f32 maxCos ux ux) (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux ux)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (fma.f32 maxCos ux ux)))
(pow.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
(+.f32 (*.f32 ux (fma.f32 maxCos ux ux)) (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux ux)))
(+.f32 (*.f32 (fma.f32 maxCos ux ux) (*.f32 maxCos ux)) (*.f32 (fma.f32 maxCos ux ux) ux))
(+.f32 (*.f32 (fma.f32 maxCos ux ux) ux) (*.f32 (fma.f32 maxCos ux ux) (*.f32 maxCos ux)))
(+.f32 (*.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux ux)) (*.f32 ux (fma.f32 maxCos ux ux)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))))

eval241.0ms (4.7%)

Memory
-0.2MiB live, 200.1MiB allocated
Compiler

Compiled 40 051 to 3 543 computations (91.2% saved)

prune15.0ms (0.3%)

Memory
20.2MiB live, 57.7MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New8602862
Fresh000
Picked134
Done011
Total8616867
Accuracy
100.0%
Counts
867 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
67.1%
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))))
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
97.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
98.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
68.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 83 to 66 computations (20.5% saved)

simplify179.0ms (3.5%)

Memory
-23.3MiB live, 98.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux)))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))))
cost-diff2208
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux))))
cost-diff3072
(-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
cost-diff0
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
cost-diff128
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
cost-diff160
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026181
043171
196163
2222163
3751149
42457131
55280131
67434131
08034125
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 ux #s(literal 3 binary32))
ux
#s(literal 3 binary32)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
(*.f32 ux ux)
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))))
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux)))
(sqrt.f32 (fma.f32 maxCos ux ux))
(fma.f32 maxCos ux ux)
maxCos
ux
(/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))
(-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(*.f32 ux ux)
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))
(*.f32 maxCos ux)
#s(literal 2 binary32)
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 ux #s(literal 3 binary32))
ux
#s(literal 3 binary32)
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))
(-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
(fma.f32 ux ux ux)
(*.f32 ux ux)
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(neg.f32 ux)
(neg.f32 ux)
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux))))
(-.f32 ux (*.f32 maxCos ux))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux)))
(sqrt.f32 (fma.f32 maxCos ux ux))
(fma.f32 maxCos ux ux)
maxCos
ux
(/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))
(/.f32 (*.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (*.f32 (neg.f32 ux) ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))
(-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(*.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (*.f32 (neg.f32 ux) ux))
(*.f32 ux ux)
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))
(*.f32 maxCos ux)
#s(literal 2 binary32)

localize64.0ms (1.3%)

Memory
31.2MiB live, 103.6MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.2421875
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux)))
accuracy0.32421875
(/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))
accuracy0.33203125
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux))))
accuracy2.4256239503049493
(fma.f32 maxCos ux ux)
accuracy0.02734375
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))
accuracy0.03532966452874396
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
accuracy0.36328125
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
accuracy0.6255334160147973
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
Samples
46.0ms248×0valid
2.0ms1valid
Compiler

Compiled 355 to 56 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 7.0ms (20.7% of total)
ival-mult: 7.0ms (20.7% of total)
ival-sub: 6.0ms (17.7% of total)
ival-add: 4.0ms (11.8% of total)
ival-pow2: 3.0ms (8.9% of total)
ival-pow: 3.0ms (8.9% of total)
ival-sqrt: 2.0ms (5.9% of total)
ival-neg: 1.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory
-6.7MiB live, 30.7MiB allocated
Counts
12 → 77
Calls
Call 1
Inputs
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux))))
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))
(fma.f32 maxCos ux ux)
(/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))
Outputs
(* -1 ux)
ux
(* ux (+ 1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(* (pow ux 2) (- 1 (pow maxCos 2)))
(/ (* ux (- 1 (pow maxCos 2))) (+ 1 maxCos))
(+ 1 (* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos)))))
(sqrt (/ 1 (* ux (+ 1 maxCos))))
(+ 1 (* -1 (pow ux 3)))
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(* ux (+ 1 maxCos))
(* (sqrt (/ (pow ux 3) (+ 1 maxCos))) (- 1 (pow maxCos 2)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos))))
(* ux (- (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))))
(* -1 (pow ux 3))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (/ (* ux (- 1 (pow maxCos 2))) (- (* -1 maxCos) 1)))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (/ 1 (- (* -1 maxCos) 1)))))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (+ (/ 1 ux) (/ 1 (- (* -1 maxCos) 1))))))
(* (sqrt (/ 1 (* ux (- (* -1 maxCos) 1)))) (sqrt -1))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* (sqrt (/ (pow ux 3) (- (* -1 maxCos) 1))) (* (sqrt -1) (- 1 (pow maxCos 2))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(+ (* -1 (* (pow maxCos 2) (pow ux 2))) (pow ux 2))
(+ ux (* -1 (* maxCos ux)))
(- (+ 1 (* maxCos (+ ux (* maxCos (+ ux (* -1 ux)))))) ux)
(sqrt (/ 1 ux))
(+ (sqrt (/ 1 ux)) (* -1/2 (* maxCos (sqrt (/ 1 ux)))))
(+ (sqrt (/ 1 ux)) (* maxCos (+ (* -1/2 (sqrt (/ 1 ux))) (* 3/8 (* maxCos (sqrt (/ 1 ux)))))))
(+ (sqrt (/ 1 ux)) (* maxCos (+ (* -1/2 (sqrt (/ 1 ux))) (* maxCos (+ (* -5/16 (* maxCos (sqrt (/ 1 ux)))) (* 3/8 (sqrt (/ 1 ux))))))))
(+ ux (* maxCos ux))
(sqrt (pow ux 3))
(+ (sqrt (pow ux 3)) (* -1/2 (* maxCos (sqrt (pow ux 3)))))
(+ (sqrt (pow ux 3)) (* maxCos (+ (* -1/2 (sqrt (pow ux 3))) (* maxCos (+ (* -1 (sqrt (pow ux 3))) (* 3/8 (sqrt (pow ux 3))))))))
(+ (sqrt (pow ux 3)) (* maxCos (+ (* -1/2 (sqrt (pow ux 3))) (* maxCos (+ (* -1 (sqrt (pow ux 3))) (+ (* 3/8 (sqrt (pow ux 3))) (* maxCos (+ (* -5/16 (sqrt (pow ux 3))) (* 1/2 (sqrt (pow ux 3)))))))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (- (+ ux (+ (* -1 (/ (+ ux (* -1 ux)) (pow maxCos 2))) (/ 1 maxCos))) (/ ux maxCos)))
(sqrt (/ 1 (* maxCos ux)))
(+ (sqrt (/ 1 (* maxCos ux))) (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))))
(+ (sqrt (/ 1 (* maxCos ux))) (+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (* 1/2 (sqrt (/ 1 (* (pow maxCos 5) ux))))))
(+ (sqrt (/ 1 (* maxCos ux))) (+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 7))) (+ (* 1/4 (/ maxCos ux)) (/ 1 ux)))) (* 1/2 (sqrt (/ 1 (* (pow maxCos 5) ux)))))))
(* maxCos (+ ux (/ ux maxCos)))
(* -1 (sqrt (* (pow maxCos 3) (pow ux 3))))
(* (pow maxCos 2) (+ (sqrt (/ (pow ux 3) (pow maxCos 5))) (+ (* -1 (sqrt (/ (pow ux 3) maxCos))) (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))))))
(* (pow maxCos 2) (+ (sqrt (/ (pow ux 3) (pow maxCos 5))) (+ (* -1 (sqrt (/ (pow ux 3) maxCos))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 5)))) (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3))))))))
(* (pow maxCos 2) (+ (sqrt (/ (pow ux 3) (pow maxCos 5))) (+ (* -1 (sqrt (/ (pow ux 3) maxCos))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 5)))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 7)))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* 1/2 (* (sqrt (/ (pow ux 5) (pow maxCos 7))) (+ (* 1/4 (/ maxCos ux)) (/ 1 ux))))))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (+ (* -1 (/ ux maxCos)) (/ ux maxCos))) ux) maxCos)))))
(* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (+ (* 1/2 (sqrt (/ 1 (* (pow maxCos 5) ux)))) (* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt (/ maxCos ux))) (* 1/2 (* (sqrt (/ ux maxCos)) (+ (* -1/4 (/ maxCos (* ux (pow (sqrt -1) 2)))) (/ 1 ux))))) (pow maxCos 3))) (+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (pow (sqrt -1) 2)))
(* (pow maxCos 2) (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (pow (sqrt -1) 2)))))
(* (pow maxCos 2) (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 5)))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (pow (sqrt -1) 2))))))
(* (pow maxCos 2) (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sqrt (* maxCos (pow ux 3)))) (* 1/2 (* (sqrt (* maxCos (pow ux 5))) (+ (* -1/4 (/ maxCos (* ux (pow (sqrt -1) 2)))) (/ 1 ux))))) maxCos)) (* 1/2 (sqrt (* maxCos (pow ux 3))))) (pow maxCos 3))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (pow (sqrt -1) 2))))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
ux
@0
((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (- (* ux ux) (pow (* maxCos ux) 2)) (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux)))) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (/ 1 (sqrt (+ (* maxCos ux) ux))) (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux)))) (+ (* maxCos ux) ux) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))
4.0ms
maxCos
@0
((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (- (* ux ux) (pow (* maxCos ux) 2)) (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux)))) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (/ 1 (sqrt (+ (* maxCos ux) ux))) (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux)))) (+ (* maxCos ux) ux) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))
4.0ms
ux
@-inf
((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (- (* ux ux) (pow (* maxCos ux) 2)) (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux)))) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (/ 1 (sqrt (+ (* maxCos ux) ux))) (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux)))) (+ (* maxCos ux) ux) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))
3.0ms
maxCos
@inf
((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (- (* ux ux) (pow (* maxCos ux) 2)) (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux)))) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (/ 1 (sqrt (+ (* maxCos ux) ux))) (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux)))) (+ (* maxCos ux) ux) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))
3.0ms
ux
@inf
((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (- (* ux ux) (pow (* maxCos ux) 2)) (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux)))) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (/ 1 (sqrt (+ (* maxCos ux) ux))) (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux)))) (+ (* maxCos ux) ux) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))

simplify303.0ms (6%)

Memory
-6.9MiB live, 195.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02931123
18401038
22577973
08516920
Stop Event
iter limit
node limit
Counts
77 → 76
Calls
Call 1
Inputs
(* -1 ux)
ux
(* ux (+ 1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* -1 ux))
(* (pow ux 2) (- 1 (pow maxCos 2)))
(/ (* ux (- 1 (pow maxCos 2))) (+ 1 maxCos))
(+ 1 (* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos)))))
(sqrt (/ 1 (* ux (+ 1 maxCos))))
(+ 1 (* -1 (pow ux 3)))
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(* ux (+ 1 maxCos))
(* (sqrt (/ (pow ux 3) (+ 1 maxCos))) (- 1 (pow maxCos 2)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos))))
(* ux (- (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))))
(* -1 (pow ux 3))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (/ (* ux (- 1 (pow maxCos 2))) (- (* -1 maxCos) 1)))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (/ 1 (- (* -1 maxCos) 1)))))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (+ (/ 1 ux) (/ 1 (- (* -1 maxCos) 1))))))
(* (sqrt (/ 1 (* ux (- (* -1 maxCos) 1)))) (sqrt -1))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* (sqrt (/ (pow ux 3) (- (* -1 maxCos) 1))) (* (sqrt -1) (- 1 (pow maxCos 2))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(+ (* -1 (* (pow maxCos 2) (pow ux 2))) (pow ux 2))
(+ ux (* -1 (* maxCos ux)))
(- (+ 1 (* maxCos (+ ux (* maxCos (+ ux (* -1 ux)))))) ux)
(sqrt (/ 1 ux))
(+ (sqrt (/ 1 ux)) (* -1/2 (* maxCos (sqrt (/ 1 ux)))))
(+ (sqrt (/ 1 ux)) (* maxCos (+ (* -1/2 (sqrt (/ 1 ux))) (* 3/8 (* maxCos (sqrt (/ 1 ux)))))))
(+ (sqrt (/ 1 ux)) (* maxCos (+ (* -1/2 (sqrt (/ 1 ux))) (* maxCos (+ (* -5/16 (* maxCos (sqrt (/ 1 ux)))) (* 3/8 (sqrt (/ 1 ux))))))))
(+ ux (* maxCos ux))
(sqrt (pow ux 3))
(+ (sqrt (pow ux 3)) (* -1/2 (* maxCos (sqrt (pow ux 3)))))
(+ (sqrt (pow ux 3)) (* maxCos (+ (* -1/2 (sqrt (pow ux 3))) (* maxCos (+ (* -1 (sqrt (pow ux 3))) (* 3/8 (sqrt (pow ux 3))))))))
(+ (sqrt (pow ux 3)) (* maxCos (+ (* -1/2 (sqrt (pow ux 3))) (* maxCos (+ (* -1 (sqrt (pow ux 3))) (+ (* 3/8 (sqrt (pow ux 3))) (* maxCos (+ (* -5/16 (sqrt (pow ux 3))) (* 1/2 (sqrt (pow ux 3)))))))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (- (+ ux (+ (* -1 (/ (+ ux (* -1 ux)) (pow maxCos 2))) (/ 1 maxCos))) (/ ux maxCos)))
(sqrt (/ 1 (* maxCos ux)))
(+ (sqrt (/ 1 (* maxCos ux))) (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))))
(+ (sqrt (/ 1 (* maxCos ux))) (+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (* 1/2 (sqrt (/ 1 (* (pow maxCos 5) ux))))))
(+ (sqrt (/ 1 (* maxCos ux))) (+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 7))) (+ (* 1/4 (/ maxCos ux)) (/ 1 ux)))) (* 1/2 (sqrt (/ 1 (* (pow maxCos 5) ux)))))))
(* maxCos (+ ux (/ ux maxCos)))
(* -1 (sqrt (* (pow maxCos 3) (pow ux 3))))
(* (pow maxCos 2) (+ (sqrt (/ (pow ux 3) (pow maxCos 5))) (+ (* -1 (sqrt (/ (pow ux 3) maxCos))) (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))))))
(* (pow maxCos 2) (+ (sqrt (/ (pow ux 3) (pow maxCos 5))) (+ (* -1 (sqrt (/ (pow ux 3) maxCos))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 5)))) (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3))))))))
(* (pow maxCos 2) (+ (sqrt (/ (pow ux 3) (pow maxCos 5))) (+ (* -1 (sqrt (/ (pow ux 3) maxCos))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 5)))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 7)))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* 1/2 (* (sqrt (/ (pow ux 5) (pow maxCos 7))) (+ (* 1/4 (/ maxCos ux)) (/ 1 ux))))))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (+ (* -1 (/ ux maxCos)) (/ ux maxCos))) ux) maxCos)))))
(* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (+ (* 1/2 (sqrt (/ 1 (* (pow maxCos 5) ux)))) (* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt (/ maxCos ux))) (* 1/2 (* (sqrt (/ ux maxCos)) (+ (* -1/4 (/ maxCos (* ux (pow (sqrt -1) 2)))) (/ 1 ux))))) (pow maxCos 3))) (+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (pow (sqrt -1) 2)))
(* (pow maxCos 2) (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (pow (sqrt -1) 2)))))
(* (pow maxCos 2) (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 5)))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (pow (sqrt -1) 2))))))
(* (pow maxCos 2) (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sqrt (* maxCos (pow ux 3)))) (* 1/2 (* (sqrt (* maxCos (pow ux 5))) (+ (* -1/4 (/ maxCos (* ux (pow (sqrt -1) 2)))) (/ 1 ux))))) maxCos)) (* 1/2 (sqrt (* maxCos (pow ux 3))))) (pow maxCos 3))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (pow (sqrt -1) 2))))))
Outputs
(* -1 ux)
(neg.f32 ux)
ux
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* (pow ux 2) (- 1 (pow maxCos 2)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) ux)
(/ (* ux (- 1 (pow maxCos 2))) (+ 1 maxCos))
(*.f32 (/.f32 ux (+.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))
(+ 1 (* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos)))))
(fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 maxCos #s(literal 1 binary32)))) ux #s(literal 1 binary32))
(sqrt (/ 1 (* ux (+ 1 maxCos))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(+ 1 (* -1 (pow ux 3)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* (sqrt (/ (pow ux 3) (+ 1 maxCos))) (- 1 (pow maxCos 2)))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 maxCos #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (- (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))))
(fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 maxCos #s(literal 1 binary32)))) ux #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (/ (* ux (- 1 (pow maxCos 2))) (- (* -1 maxCos) 1)))
(*.f32 (/.f32 ux (+.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (/ 1 (- (* -1 maxCos) 1)))))
(neg.f32 (*.f32 (/.f32 ux (+.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (+ (/ 1 ux) (/ 1 (- (* -1 maxCos) 1))))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* (sqrt (/ 1 (* ux (- (* -1 maxCos) 1)))) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 maxCos #s(literal 1 binary32))) ux)))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* (sqrt (/ (pow ux 3) (- (* -1 maxCos) 1))) (* (sqrt -1) (- 1 (pow maxCos 2))))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal -1 binary32) maxCos))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ (* -1 (* (pow maxCos 2) (pow ux 2))) (pow ux 2))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(- (+ 1 (* maxCos (+ ux (* maxCos (+ ux (* -1 ux)))))) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(sqrt (/ 1 ux))
(sqrt.f32 (/.f32 #s(literal 1 binary32) ux))
(+ (sqrt (/ 1 ux)) (* -1/2 (* maxCos (sqrt (/ 1 ux)))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)))
(+ (sqrt (/ 1 ux)) (* maxCos (+ (* -1/2 (sqrt (/ 1 ux))) (* 3/8 (* maxCos (sqrt (/ 1 ux)))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 #s(literal 3/8 binary32) maxCos #s(literal -1/2 binary32)) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)))
(+ (sqrt (/ 1 ux)) (* maxCos (+ (* -1/2 (sqrt (/ 1 ux))) (* maxCos (+ (* -5/16 (* maxCos (sqrt (/ 1 ux)))) (* 3/8 (sqrt (/ 1 ux))))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos maxCos)) (fma.f32 #s(literal -5/16 binary32) maxCos #s(literal 3/8 binary32)) (*.f32 (fma.f32 #s(literal -1/2 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) ux))))
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(sqrt (pow ux 3))
(sqrt.f32 (pow.f32 ux #s(literal 3 binary32)))
(+ (sqrt (pow ux 3)) (* -1/2 (* maxCos (sqrt (pow ux 3)))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))))
(+ (sqrt (pow ux 3)) (* maxCos (+ (* -1/2 (sqrt (pow ux 3))) (* maxCos (+ (* -1 (sqrt (pow ux 3))) (* 3/8 (sqrt (pow ux 3))))))))
(fma.f32 (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (fma.f32 #s(literal -5/8 binary32) maxCos #s(literal -1/2 binary32))) maxCos (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))))
(+ (sqrt (pow ux 3)) (* maxCos (+ (* -1/2 (sqrt (pow ux 3))) (* maxCos (+ (* -1 (sqrt (pow ux 3))) (+ (* 3/8 (sqrt (pow ux 3))) (* maxCos (+ (* -5/16 (sqrt (pow ux 3))) (* 1/2 (sqrt (pow ux 3)))))))))))
(fma.f32 (fma.f32 #s(literal -1/2 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (*.f32 (*.f32 (sqrt.f32 (pow.f32 ux #s(literal 3 binary32))) (fma.f32 #s(literal 3/16 binary32) maxCos #s(literal -5/8 binary32))) (*.f32 maxCos maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 ux) ux) maxCos) maxCos)
(* (pow maxCos 2) (- (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))
(*.f32 (*.f32 ux (-.f32 (/.f32 (/.f32 ux maxCos) maxCos) ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (- (+ ux (+ (* -1 (/ (+ ux (* -1 ux)) (pow maxCos 2))) (/ 1 maxCos))) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(sqrt (/ 1 (* maxCos ux)))
(sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux))
(+ (sqrt (/ 1 (* maxCos ux))) (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)))
(+ (sqrt (/ 1 (* maxCos ux))) (+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (* 1/2 (sqrt (/ 1 (* (pow maxCos 5) ux))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 maxCos #s(literal 5 binary32)) ux))) #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux))))
(+ (sqrt (/ 1 (* maxCos ux))) (+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 7))) (+ (* 1/4 (/ maxCos ux)) (/ 1 ux)))) (* 1/2 (sqrt (/ 1 (* (pow maxCos 5) ux)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux)))) #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 maxCos #s(literal 5 binary32)) ux))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux))))
(* maxCos (+ ux (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (sqrt (* (pow maxCos 3) (pow ux 3))))
(neg.f32 (sqrt.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))))
(* (pow maxCos 2) (+ (sqrt (/ (pow ux 3) (pow maxCos 5))) (+ (* -1 (sqrt (/ (pow ux 3) maxCos))) (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))))))
(*.f32 (-.f32 (fma.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (sqrt (/ (pow ux 3) (pow maxCos 5))) (+ (* -1 (sqrt (/ (pow ux 3) maxCos))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 5)))) (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32)))) #s(literal -1/2 binary32) (-.f32 (fma.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (sqrt (/ (pow ux 3) (pow maxCos 5))) (+ (* -1 (sqrt (/ (pow ux 3) maxCos))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 5)))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 7)))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* 1/2 (* (sqrt (/ (pow ux 5) (pow maxCos 7))) (+ (* 1/4 (/ maxCos ux)) (/ 1 ux))))))))))
(*.f32 (fma.f32 (+.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 7 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32))))) #s(literal -1/2 binary32) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 5 binary32)) (pow.f32 maxCos #s(literal 7 binary32)))) (fma.f32 (/.f32 maxCos ux) #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)))) #s(literal 1/2 binary32) (-.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (+ (* -1 (/ ux maxCos)) (/ ux maxCos))) ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)))
(+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux))))
(+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (+ (* 1/2 (sqrt (/ 1 (* (pow maxCos 5) ux)))) (* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 maxCos #s(literal 5 binary32)) ux))) #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)))))
(+ (* -1 (/ (+ (* -1/2 (sqrt (/ maxCos ux))) (* 1/2 (* (sqrt (/ ux maxCos)) (+ (* -1/4 (/ maxCos (* ux (pow (sqrt -1) 2)))) (/ 1 ux))))) (pow maxCos 3))) (+ (* -1/2 (sqrt (/ 1 (* (pow maxCos 3) ux)))) (* (sqrt (/ 1 (* maxCos ux))) (pow (sqrt -1) 2))))
(-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)))) (/.f32 (fma.f32 (*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 ux maxCos)) (*.f32 (sqrt.f32 (/.f32 maxCos ux)) #s(literal -1/2 binary32))) (pow.f32 maxCos #s(literal 3 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* (sqrt (* (pow maxCos 3) (pow ux 3))) (pow (sqrt -1) 2)))
(sqrt.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))))
(* (pow maxCos 2) (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32)))) #s(literal -1 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (/ (pow ux 3) (pow maxCos 5)))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32)))) #s(literal -3/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (* (sqrt (/ (pow ux 3) maxCos)) (pow (sqrt -1) 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sqrt (* maxCos (pow ux 3)))) (* 1/2 (* (sqrt (* maxCos (pow ux 5))) (+ (* -1/4 (/ maxCos (* ux (pow (sqrt -1) 2)))) (/ 1 ux))))) maxCos)) (* 1/2 (sqrt (* maxCos (pow ux 3))))) (pow maxCos 3))) (+ (* 1/2 (sqrt (/ (pow ux 3) (pow maxCos 3)))) (* (sqrt (/ (pow ux 3) (pow maxCos 5))) (pow (sqrt -1) 2))))))
(*.f32 (*.f32 (-.f32 (fma.f32 (sqrt.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32))) #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 5 binary32)))) #s(literal -1 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)))) (/.f32 (fma.f32 (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 5 binary32)) maxCos)) (fma.f32 (/.f32 maxCos ux) #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) ux))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) #s(literal 1/2 binary32))) maxCos)) (pow.f32 maxCos #s(literal 3 binary32)))) maxCos) maxCos)

rewrite192.0ms (3.8%)

Memory
-4.8MiB live, 223.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026150
043140
122179
2179979
0929675
Stop Event
iter limit
node limit
iter limit
Counts
12 → 799
Calls
Call 1
Inputs
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux))))
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))
(fma.f32 maxCos ux ux)
(/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))
Outputs
(*.f32 #s(literal -1 binary32) ux)
(*.f32 (neg.f32 ux) #s(literal 1 binary32))
(*.f32 ux #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (neg.f32 ux))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal 0 binary32) ux)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (+.f32 #s(literal 0 binary32) ux))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 0 binary32) ux)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))) (neg.f32 ux))
(-.f32 #s(literal 0 binary32) ux)
(+.f32 #s(literal 0 binary32) (neg.f32 ux))
(neg.f32 ux)
(*.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 ux ux ux) (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (fma.f32 ux ux ux) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))))
(*.f32 (/.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (/.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux ux ux) ux) (/.f32 (fma.f32 ux ux ux) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 ux ux ux) ux) (/.f32 (fma.f32 ux ux ux) (-.f32 ux #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 ux ux ux) ux) (/.f32 (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 ux ux ux) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32))) (/.f32 (fma.f32 ux ux ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(*.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))))
(*.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
(*.f32 ux (-.f32 ux #s(literal -1 binary32)))
(*.f32 ux (+.f32 ux #s(literal -1 binary32)))
(*.f32 ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))))) (neg.f32 (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (neg.f32 (neg.f32 (fma.f32 ux ux ux))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (*.f32 ux ux))) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (*.f32 (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))
(/.f32 (neg.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32))) (neg.f32 (fma.f32 ux ux ux)))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 (*.f32 ux ux) (pow.f32 ux #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 (*.f32 ux ux) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))
(/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (fma.f32 ux ux ux))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 ux ux ux) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))) (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux ux) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))) (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)))))
(-.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux)) (/.f32 (*.f32 ux ux) (fma.f32 ux ux ux)))
(-.f32 (fma.f32 ux ux #s(literal 0 binary32)) ux)
(-.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))))
(-.f32 (*.f32 ux ux) (neg.f32 ux))
(-.f32 (*.f32 ux ux) ux)
(fma.f32 (pow.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32) (*.f32 ux ux))
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux ux))
(fma.f32 #s(literal -1 binary32) (*.f32 ux (neg.f32 ux)) (neg.f32 ux))
(fma.f32 #s(literal -1 binary32) (*.f32 ux (neg.f32 ux)) ux)
(fma.f32 #s(literal -1 binary32) (neg.f32 ux) (*.f32 ux ux))
(fma.f32 #s(literal -1 binary32) ux (*.f32 ux ux))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) (neg.f32 ux))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) ux)
(fma.f32 (neg.f32 ux) #s(literal -1 binary32) (*.f32 ux ux))
(fma.f32 (neg.f32 ux) (neg.f32 ux) (neg.f32 ux))
(fma.f32 (neg.f32 ux) (neg.f32 ux) ux)
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (*.f32 ux ux))
(fma.f32 ux #s(literal -1 binary32) (*.f32 ux ux))
(fma.f32 ux ux (neg.f32 ux))
(fma.f32 ux ux ux)
(fma.f32 ux #s(literal 1 binary32) (*.f32 ux ux))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) (neg.f32 ux))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) ux)
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (*.f32 ux ux))
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(fma.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(fma.f32 (/.f32 (*.f32 ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #s(literal 1 binary32) (*.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32))))
(fma.f32 (/.f32 (*.f32 ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #s(literal 1 binary32) (neg.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(fma.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32)) (/.f32 (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32))))
(fma.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32)) (/.f32 (*.f32 ux ux) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(fma.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32)) (*.f32 ux ux) (*.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32)) (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(fma.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32)) (*.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32))))
(fma.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32)) (neg.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(fma.f32 ux (/.f32 ux (sqrt.f32 (fma.f32 maxCos ux ux))) (*.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32))))
(fma.f32 ux (/.f32 ux (sqrt.f32 (fma.f32 maxCos ux ux))) (neg.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 maxCos ux ux)) (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 maxCos ux ux)) (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal -1 binary32))
(+.f32 (*.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32)) (*.f32 ux ux)) (*.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32)) (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(+.f32 (/.f32 (*.f32 ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (*.f32 (neg.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux ux) #s(literal -1/2 binary32))))
(+.f32 (/.f32 (*.f32 ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (neg.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (fma.f32 maxCos ux ux)) (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (fma.f32 maxCos ux ux)))))
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (sqrt.f32 (fma.f32 maxCos ux ux))))

eval95.0ms (1.9%)

Memory
37.7MiB live, 227.7MiB allocated
Compiler

Compiled 30 678 to 3 697 computations (87.9% saved)

prune41.0ms (0.8%)

Memory
-33.0MiB live, 91.1MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New9371938
Fresh000
Picked202
Done044
Total9395944
Accuracy
100.0%
Counts
944 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
97.0%
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
98.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
68.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 79 to 58 computations (26.6% saved)

simplify124.0ms (2.4%)

Memory
27.3MiB live, 143.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
cost-diff64
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32)))
cost-diff96
(fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))
cost-diff480
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023106
032101
17599
219495
365785
4247775
5492175
6704175
0809068
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))
#s(literal 1 binary32)
(*.f32 maxCos maxCos)
maxCos
(fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) ux)
ux
(neg.f32 ux)
Outputs
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (fma.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32))) (fma.f32 maxCos maxCos #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(fma.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32))) (fma.f32 maxCos maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))
(-.f32 (/.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) maxCos)) (/.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32)))
(/.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) maxCos))
(-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))
#s(literal 1 binary32)
(*.f32 maxCos maxCos)
maxCos
(fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))
(-.f32 maxCos #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) ux)
ux
(neg.f32 ux)

localize96.0ms (1.9%)

Memory
-8.3MiB live, 149.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32)))
accuracy0.1454479209616897
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))
accuracy0.3203125
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
accuracy2.561490955214517
(fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))
Samples
80.0ms250×0valid
2.0ms1valid
Compiler

Compiled 200 to 50 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 42.0ms (57.5% of total)
ival-sub: 13.0ms (17.8% of total)
ival-div: 10.0ms (13.7% of total)
ival-pow2: 3.0ms (4.1% of total)
ival-sqrt: 2.0ms (2.7% of total)
ival-add: 2.0ms (2.7% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-10.2MiB live, 26.5MiB allocated
Counts
5 → 37
Calls
Call 1
Inputs
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))
Outputs
1
(+ 1 (* -1 (* ux (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos))))))
(+ 1 (* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos)))))
(/ -1 ux)
(/ (- (* ux (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))) 1) ux)
(* -1 (* ux (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))))
(* ux (+ (* -1 (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))) (/ 1 ux)))
(* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos))))
(* ux (- (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))))
(- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))
(- (/ 1 (+ 1 maxCos)) (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))))
(* -1 (* ux (- (/ 1 (+ 1 maxCos)) (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))))))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (/ 1 (- (* -1 maxCos) 1)))))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (+ (/ 1 ux) (/ 1 (- (* -1 maxCos) 1))))))
(* -1 (* ux (- 1 (/ 1 ux))))
(+ (* -1 (* ux (- 1 (/ 1 ux)))) (* maxCos ux))
(+ 1 maxCos)
(+ 1 (* -1 maxCos))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos (+ ux (* maxCos (+ ux (* -1 ux)))))) ux)
(- 1 (/ 1 ux))
(- (+ 1 (* -1 maxCos)) (/ 1 ux))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ (* ux (- 1 (/ 1 ux))) maxCos))))
maxCos
(* maxCos (+ 1 (/ 1 maxCos)))
(* -1 maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (+ (* -1 (/ (+ ux (* -1 ux)) (pow maxCos 2))) (/ 1 maxCos))) (/ ux maxCos)))
(* maxCos (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux)))))
(* -1 (* maxCos (+ (* -1 ux) (/ (* ux (- 1 (/ 1 ux))) maxCos))))
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (+ (* -1 (/ ux maxCos)) (/ ux maxCos))) ux) maxCos)))))
(* -1 (* maxCos (+ 1 (* -1 (/ (- 1 (/ 1 ux)) maxCos)))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
maxCos
@-inf
((* (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)) (neg ux)) (+ (* maxCos 1) 1) (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)))
2.0ms
maxCos
@inf
((* (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)) (neg ux)) (+ (* maxCos 1) 1) (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)))
1.0ms
ux
@0
((* (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)) (neg ux)) (+ (* maxCos 1) 1) (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)))
1.0ms
ux
@inf
((* (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)) (neg ux)) (+ (* maxCos 1) 1) (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)))
1.0ms
ux
@-inf
((* (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)) (neg ux)) (+ (* maxCos 1) 1) (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)))

simplify165.0ms (3.3%)

Memory
38.3MiB live, 188.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105388
1326367
2966318
32996314
46965314
08037287
Stop Event
iter limit
node limit
Counts
37 → 36
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* ux (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos))))))
(+ 1 (* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos)))))
(/ -1 ux)
(/ (- (* ux (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))) 1) ux)
(* -1 (* ux (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))))
(* ux (+ (* -1 (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))) (/ 1 ux)))
(* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos))))
(* ux (- (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))))
(- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))
(- (/ 1 (+ 1 maxCos)) (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))))
(* -1 (* ux (- (/ 1 (+ 1 maxCos)) (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))))))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (/ 1 (- (* -1 maxCos) 1)))))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (+ (/ 1 ux) (/ 1 (- (* -1 maxCos) 1))))))
(* -1 (* ux (- 1 (/ 1 ux))))
(+ (* -1 (* ux (- 1 (/ 1 ux)))) (* maxCos ux))
(+ 1 maxCos)
(+ 1 (* -1 maxCos))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos (+ ux (* maxCos (+ ux (* -1 ux)))))) ux)
(- 1 (/ 1 ux))
(- (+ 1 (* -1 maxCos)) (/ 1 ux))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ (* ux (- 1 (/ 1 ux))) maxCos))))
maxCos
(* maxCos (+ 1 (/ 1 maxCos)))
(* -1 maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (+ (* -1 (/ (+ ux (* -1 ux)) (pow maxCos 2))) (/ 1 maxCos))) (/ ux maxCos)))
(* maxCos (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux)))))
(* -1 (* maxCos (+ (* -1 ux) (/ (* ux (- 1 (/ 1 ux))) maxCos))))
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (+ (* -1 (/ ux maxCos)) (/ ux maxCos))) ux) maxCos)))))
(* -1 (* maxCos (+ 1 (* -1 (/ (- 1 (/ 1 ux)) maxCos)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 (* ux (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos))))))
(fma.f32 (fma.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) maxCos (/.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32)))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos)))))
(fma.f32 (fma.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) maxCos (/.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32)))) ux #s(literal 1 binary32))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ (- (* ux (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))) 1) ux)
(-.f32 (/.f32 #s(literal -1 binary32) ux) (fma.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) maxCos (/.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32)))))
(* -1 (* ux (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))))
(fma.f32 (*.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) ux) maxCos (/.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(* ux (+ (* -1 (- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))) (/ 1 ux)))
(fma.f32 (fma.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) maxCos (/.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32)))) ux #s(literal 1 binary32))
(* ux (- (/ (pow maxCos 2) (+ 1 maxCos)) (/ 1 (+ 1 maxCos))))
(fma.f32 (*.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) ux) maxCos (/.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(* ux (- (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))) (/ 1 (+ 1 maxCos))))
(fma.f32 (fma.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) maxCos (/.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32)))) ux #s(literal 1 binary32))
(- (/ 1 (+ 1 maxCos)) (/ (pow maxCos 2) (+ 1 maxCos)))
(fma.f32 (/.f32 maxCos (-.f32 #s(literal -1 binary32) maxCos)) maxCos (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal -1 binary32))))
(- (/ 1 (+ 1 maxCos)) (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))))
(-.f32 (/.f32 #s(literal -1 binary32) ux) (fma.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) maxCos (/.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32)))))
(* -1 (* ux (- (/ 1 (+ 1 maxCos)) (+ (/ 1 ux) (/ (pow maxCos 2) (+ 1 maxCos))))))
(fma.f32 (fma.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) maxCos (/.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32)))) ux #s(literal 1 binary32))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (/ 1 (- (* -1 maxCos) 1)))))
(fma.f32 (*.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) ux) maxCos (/.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(* -1 (* ux (- (/ (pow maxCos 2) (- (* -1 maxCos) 1)) (+ (/ 1 ux) (/ 1 (- (* -1 maxCos) 1))))))
(fma.f32 (fma.f32 (/.f32 maxCos (-.f32 maxCos #s(literal -1 binary32))) maxCos (/.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal -1 binary32)))) ux #s(literal 1 binary32))
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(+ (* -1 (* ux (- 1 (/ 1 ux)))) (* maxCos ux))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+ 1 maxCos)
(-.f32 maxCos #s(literal -1 binary32))
(+ 1 (* -1 maxCos))
(-.f32 #s(literal 1 binary32) maxCos)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos (+ ux (* maxCos (+ ux (* -1 ux)))))) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- 1 (/ 1 ux))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* -1 maxCos)) (/ 1 ux))
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (* -1 (/ (* ux (- 1 (/ 1 ux))) maxCos))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
maxCos
(* maxCos (+ 1 (/ 1 maxCos)))
(-.f32 maxCos #s(literal -1 binary32))
(* -1 maxCos)
(neg.f32 maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(-.f32 #s(literal 1 binary32) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (+ (* -1 (/ (+ ux (* -1 ux)) (pow maxCos 2))) (/ 1 maxCos))) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux)))))
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (/ (* ux (- 1 (/ 1 ux))) maxCos))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(-.f32 #s(literal 1 binary32) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ 1 (+ (* -1 (/ ux maxCos)) (/ ux maxCos))) ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ 1 (* -1 (/ (- 1 (/ 1 ux)) maxCos)))))
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) maxCos)

rewrite184.0ms (3.6%)

Memory
-12.8MiB live, 198.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02390
03285
118851
2168651
0813050
Stop Event
iter limit
node limit
iter limit
Counts
5 → 300
Calls
Call 1
Inputs
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32)))
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))
Outputs
(*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32)) ux)
(*.f32 (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) ux)
(*.f32 #s(literal -1 binary32) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux))
(*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) (neg.f32 ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal -3 binary32))) (neg.f32 ux)) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 (-.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) maxCos) #s(literal 1 binary32)) (neg.f32 ux)) (fma.f32 ux maxCos ux))
(/.f32 (*.f32 (neg.f32 ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (*.f32 (neg.f32 ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal -3 binary32)))) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) maxCos) #s(literal 1 binary32))) (fma.f32 ux maxCos ux))
(-.f32 #s(literal 0 binary32) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux))
(fma.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (neg.f32 ux) (/.f32 #s(literal -1 binary32) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 ux) (*.f32 (/.f32 #s(literal -1 binary32) ux) (neg.f32 ux)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 ux)) (*.f32 (/.f32 #s(literal -1 binary32) ux) (neg.f32 ux)))
(+.f32 (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (neg.f32 ux) (/.f32 #s(literal -1 binary32) ux)))
(neg.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux))
(*.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))
(*.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (-.f32 #s(literal 1 binary32) maxCos))))
(*.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos maxCos (-.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (neg.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32))) (neg.f32 (-.f32 maxCos #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 maxCos maxCos (-.f32 #s(literal 1 binary32) maxCos))))
(/.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 maxCos maxCos) maxCos)))
(/.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos maxCos (-.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 #s(literal 1 binary32) maxCos))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 maxCos maxCos #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos maxCos (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))))
(fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) maxCos #s(literal 1 binary32))
(pow.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 maxCos maxCos #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 maxCos maxCos (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 maxCos #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) maxCos)
(*.f32 (pow.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos maxCos #s(literal -1 binary32))) (-.f32 maxCos #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 maxCos maxCos (-.f32 #s(literal 1 binary32) maxCos)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 maxCos) maxCos))) (*.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)))))) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 maxCos maxCos)) (+.f32 maxCos #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) (*.f32 (neg.f32 maxCos) maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)))))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)))
(/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) (*.f32 maxCos maxCos))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (*.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (neg.f32 maxCos) maxCos))) (*.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 maxCos maxCos))) (*.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 maxCos #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))) (*.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (neg.f32 maxCos) maxCos))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)))))) (+.f32 maxCos #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))))
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 (neg.f32 maxCos) maxCos)) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 maxCos maxCos #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32)))) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)) (pow.f32 (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32))))))
(/.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal -3 binary32)) (*.f32 (pow.f32 maxCos #s(literal 6 binary32)) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal -3 binary32)))) (+.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 (pow.f32 (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos maxCos)))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32)) (+.f32 maxCos #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (+.f32 maxCos #s(literal 1 binary32)))
(/.f32 (-.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (fma.f32 maxCos maxCos #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))))
(/.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 maxCos #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) maxCos)
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(/.f32 (fma.f32 (-.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 maxCos maxCos))) (neg.f32 ux) (*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 ux)))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (neg.f32 (neg.f32 ux)) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) #s(literal -1 binary32))) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (neg.f32 (neg.f32 ux))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) ux (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) #s(literal -1 binary32))) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) ux))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32))) (neg.f32 ux) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (neg.f32 ux)))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) (neg.f32 (neg.f32 ux)) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32))) #s(literal -1 binary32))) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32))) (neg.f32 (neg.f32 ux))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) ux (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32))) #s(literal -1 binary32))) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32))) ux))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32))) (neg.f32 ux) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32))) (neg.f32 ux)))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (neg.f32 (neg.f32 ux)) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) (neg.f32 (neg.f32 ux))))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) ux))
(/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (neg.f32 ux) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) (neg.f32 ux)))
(/.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 ux)) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) (neg.f32 (neg.f32 ux))))
(/.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal -1 binary32))) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) ux))
(/.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 ux) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos))) (neg.f32 ux)))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 (neg.f32 ux)) #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 ux))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) ux))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 ux) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (neg.f32 (neg.f32 ux)) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (neg.f32 (neg.f32 ux))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (neg.f32 ux) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (neg.f32 ux)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 ux)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32)) (neg.f32 (neg.f32 ux))))
(/.f32 (fma.f32 #s(literal 1 binary32) ux (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32)) ux))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 ux) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32)) (neg.f32 ux)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 ux)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (neg.f32 ux))))
(/.f32 (fma.f32 #s(literal 1 binary32) ux (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) ux))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 ux)))
(/.f32 (/.f32 (-.f32 (-.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) maxCos) #s(literal 1 binary32)) (+.f32 maxCos #s(literal 1 binary32))) ux)
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32)))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal -3 binary32)))) (neg.f32 (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (-.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) maxCos) #s(literal 1 binary32))) (neg.f32 (fma.f32 ux maxCos ux)))
(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (neg.f32 ux)) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) (neg.f32 ux)))
(/.f32 (-.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32)) ux))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (neg.f32 ux)) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (neg.f32 ux)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 ux)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 ux)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) ux) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) ux))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal -3 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (-.f32 (pow.f32 ux #s(literal -2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal -3 binary32))) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (-.f32 (-.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) maxCos) #s(literal 1 binary32)) (fma.f32 ux maxCos ux))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal -3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos ux) (-.f32 (-.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) maxCos) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (pow.f32 ux #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(-.f32 (/.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (fma.f32 ux maxCos ux)) (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (fma.f32 ux maxCos ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (fma.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (-.f32 (*.f32 maxCos (/.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) ux)))
(-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))
(fma.f32 (pow.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 (pow.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos maxCos (pow.f32 maxCos #s(literal 4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos maxCos #s(literal -1 binary32))) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 maxCos maxCos (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 1 binary32) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux))
(pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 ux #s(literal -2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 ux #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal -3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux maxCos ux) (-.f32 (-.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) maxCos) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos))
(+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux))

eval82.0ms (1.6%)

Memory
-7.0MiB live, 81.8MiB allocated
Compiler

Compiled 17 970 to 1 657 computations (90.8% saved)

prune9.0ms (0.2%)

Memory
-12.1MiB live, 25.5MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3171318
Fresh000
Picked101
Done044
Total3185323
Accuracy
100.0%
Counts
323 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
96.9%
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (*.f32 #s(approx (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)))
98.0%
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
68.7%
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Compiler

Compiled 290 to 134 computations (53.8% saved)

regimes15.0ms (0.3%)

Memory
3.4MiB live, 41.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (*.f32 #s(approx (- (/ (- 1 (* maxCos maxCos)) (+ (* maxCos 1) 1)) (/ 1 ux)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))) (neg.f32 ux)))
#s(approx (- 1 (* (/ 1 (sqrt (+ (* maxCos ux) ux))) (/ (- (* ux ux) (pow (* maxCos ux) 2)) (sqrt (+ (* maxCos ux) ux))))) (*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 maxCos #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux))))))
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Calls

4 calls:

5.0ms
uy
3.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms
ux
3.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes6.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
1.0ms
ux
1.0ms
maxCos
Results
AccuracySegmentsBranch
98.0%1ux
98.0%1uy
98.0%1maxCos
98.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes11.0ms (0.2%)

Memory
-29.6MiB live, 12.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

8.0ms
ux
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
maxCos
1.0ms
uy
Results
AccuracySegmentsBranch
68.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
68.7%1ux
68.7%1maxCos
68.7%1uy
Compiler

Compiled 10 to 16 computations (-60% saved)

simplify23.0ms (0.5%)

Memory
16.6MiB live, 53.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
11827
22227
32427
42527
Stop Event
saturated
Calls
Call 1
Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

soundness543.0ms (10.7%)

Memory
-5.7MiB live, 113.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03970
111070
230670
385170
4210170
5331170
6429270
7532370
8675470
9729470
10762670
11794270
0845264
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 31 to 22 computations (29% saved)

preprocess18.0ms (0.4%)

Memory
7.3MiB live, 42.5MiB allocated
Remove

(abs uy)

Compiler

Compiled 96 to 68 computations (29.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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