UniformSampleCone, z

Time bar (total: 7.7s)

analyze73.0ms (1%)

Memory
30.3MiB live, 107.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
25%0%0.1%99.9%0%0%0%3
25%0%0.1%99.9%0%0%0%4
37.5%0%0.1%99.9%0%0%0%5
56.2%0.1%0%99.9%0%0%0%6
56.2%0.1%0%99.9%0%0%0%7
65.6%0.1%0%99.9%0%0%0%8
76.6%0.1%0%99.9%0%0%0%9
76.6%0.1%0%99.9%0%0%0%10
82%0.1%0%99.9%0%0%0%11
87.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (13.1%)

Memory
64.7MiB live, 1 355.3MiB allocated
Samples
668.0ms8 188×0valid
9.0ms68×1valid
Precisions
Click to see histograms. Total time spent on operations: 465.0ms
const: 156.0ms (33.6% of total)
ival-<=: 118.0ms (25.4% of total)
ival-sub: 57.0ms (12.3% of total)
ival-mult: 48.0ms (10.3% of total)
ival-add: 45.0ms (9.7% of total)
ival-and: 29.0ms (6.2% of total)
exact: 8.0ms (1.7% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess69.0ms (0.9%)

Memory
8.9MiB live, 82.9MiB allocated
Algorithm
2×egg-herbie
Rules
384×accelerator-lowering-fma.f32
384×accelerator-lowering-fma.f64
358×sub-neg
248×cancel-sign-sub-inv
204×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02579
17870
221570
358670
4130170
5168870
6181970
7183970
067
1147
2327
3617
41407
52847
64207
74587
84637
04636
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (- 1 ux) (* ux maxCos))
Outputs
(+ (- 1 ux) (* ux maxCos))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
Call 2
Inputs
(+ (- 1 ux) (* ux maxCos))
(+ (- 1 (neg ux)) (* (neg ux) maxCos))
(+ (- 1 ux) (* ux maxCos))
(+ (- 1 ux) (* ux (neg maxCos)))
(neg (+ (- 1 (neg ux)) (* (neg ux) maxCos)))
(neg (+ (- 1 ux) (* ux maxCos)))
(neg (+ (- 1 ux) (* ux (neg maxCos))))
(+ (- 1 uy) (* uy maxCos))
(+ (- 1 maxCos) (* maxCos ux))
(+ (- 1 ux) (* ux uy))
Outputs
(+ (- 1 ux) (* ux maxCos))
(+ 1 (- (* ux maxCos) ux))
(+ (- 1 (neg ux)) (* (neg ux) maxCos))
(- 1 (- (* ux maxCos) ux))
(+ (- 1 ux) (* ux maxCos))
(+ 1 (- (* ux maxCos) ux))
(+ (- 1 ux) (* ux (neg maxCos)))
(- 1 (+ ux (* ux maxCos)))
(neg (+ (- 1 (neg ux)) (* (neg ux) maxCos)))
(+ -1 (- (* ux maxCos) ux))
(neg (+ (- 1 ux) (* ux maxCos)))
(+ ux (- -1 (* ux maxCos)))
(neg (+ (- 1 ux) (* ux (neg maxCos))))
(+ ux (+ (* ux maxCos) -1))
(+ (- 1 uy) (* uy maxCos))
(+ 1 (* uy (+ maxCos -1)))
(+ (- 1 maxCos) (* maxCos ux))
(- 1 (- maxCos (* ux maxCos)))
(+ (- 1 ux) (* ux uy))
(- 1 (- ux (* ux uy)))
Symmetry

(abs uy)

explain65.0ms (0.8%)

Memory
-15.7MiB live, 100.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
26.0ms508×0valid
0.0ms4×1valid
Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (32.5% of total)
ival-sub: 3.0ms (32.5% of total)
ival-add: 2.0ms (21.7% 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)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

simplify253.0ms (3.3%)

Memory
-26.0MiB live, 29.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff-32
(*.f32 ux maxCos)
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff96
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Rules
384×accelerator-lowering-fma.f32
384×accelerator-lowering-fma.f64
160×*-lowering-*.f32
160×*-lowering-*.f64
120×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
11416
23216
36116
414016
528416
642016
745816
846316
046315
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (- 1 ux) (* ux maxCos))
(- 1 ux)
1
ux
(* ux maxCos)
maxCos
Outputs
(+ (- 1 ux) (* ux maxCos))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(* ux maxCos)
(fma.f32 ux maxCos #s(literal 0 binary32))
maxCos

localize17.0ms (0.2%)

Memory
27.3MiB live, 27.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy100.0%
(*.f32 ux maxCos)
✓accuracy99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Samples
10.0ms254×0valid
0.0ms2×1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (22.3% of total)
ival-mult: 1.0ms (22.3% of total)
ival-sub: 1.0ms (22.3% 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)

series8.0ms (0.1%)

Memory
-36.2MiB live, 5.4MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (+ (- 1 ux) (* ux maxCos))>
#<alt (- 1 ux)>
#<alt (* ux maxCos)>
Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
Calls

15 calls:

TimeVariablePointExpression
4.0ms
ux
@-inf
(* ux maxCos)
0.0ms
ux
@inf
(+ (- 1 ux) (* ux maxCos))
0.0ms
maxCos
@-inf
(+ (- 1 ux) (* ux maxCos))
0.0ms
ux
@-inf
(+ (- 1 ux) (* ux maxCos))
0.0ms
ux
@0
(+ (- 1 ux) (* ux maxCos))

rewrite320.0ms (4.2%)

Memory
43.2MiB live, 487.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 750×accelerator-lowering-fma.f32
5 750×accelerator-lowering-fma.f64
4 062×*-lowering-*.f32
4 062×*-lowering-*.f64
2 014×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
13913
234013
3528013
0897912
Stop Event
1×iter limit
1×node limit
Counts
3 → 311
Calls
Call 1
Inputs
(+ (- 1 ux) (* ux maxCos))
(- 1 ux)
(* ux maxCos)
Outputs
(neg.f32 (neg.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(+.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux maxCos ux)))
(+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(+.f32 (*.f32 ux maxCos) (+.f32 #s(literal 1 binary32) ux))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos))))
(+.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(+.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)))))
(+.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)) (+.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(+.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux) (*.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32))
(fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos))))
(fma.f32 ux #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 ux (neg.f32 maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (+.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 1 binary32))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (*.f32 #s(literal 1 binary32) maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (exp.f32 (log.f32 maxCos)) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)))))
(fma.f32 maxCos ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos))))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 (neg.f32 ux) maxCos (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
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(*.f32 (*.f32 maxCos #s(literal 1 binary32)) ux)
(*.f32 (exp.f32 (log.f32 maxCos)) ux)

simplify300.0ms (3.9%)

Memory
30.6MiB live, 304.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 316×accelerator-lowering-fma.f32
5 316×accelerator-lowering-fma.f64
2 180×div-sub
2 012×*-lowering-*.f32
2 012×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))

eval81.0ms (1.1%)

Memory
-31.7MiB live, 71.9MiB allocated
Compiler

Compiled 8 179 to 766 computations (90.6% saved)

prune97.0ms (1.3%)

Memory
0.7MiB live, 78.2MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3665371
Fresh000
Picked011
Done000
Total3666372
Accuracy
100.0%
Counts
372 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
▶98.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32)))
▶97.8%
(-.f32 #s(literal 1 binary32) ux)
▶98.5%
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶70.9%
#s(literal 1 binary32)
Compiler

Compiled 172 to 87 computations (49.4% saved)

simplify440.0ms (5.8%)

Memory
10.5MiB live, 713.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
✓cost-diff0
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32)))
✓cost-diff32
(*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))
✓cost-diff32
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))))
✓cost-diff64
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓cost-diff64
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓cost-diff96
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓cost-diff512
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(+.f32 maxCos #s(literal -1 binary32))
✓cost-diff0
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
Rules
18 450×accelerator-lowering-fma.f32
18 450×accelerator-lowering-fma.f64
3 974×*-lowering-*.f32
3 974×*-lowering-*.f64
2 336×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025184
191184
2287162
31256162
45121162
08126153
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* ux (+ maxCos -1)) 1)
ux
(+ maxCos -1)
maxCos
-1
1
1
(- 1 ux)
1
ux
(+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux))) (* ux maxCos))
(/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux)))
(- (+ 1 ux) (* (+ 1 ux) (* ux ux)))
(+ 1 ux)
1
ux
(* (+ 1 ux) (* ux ux))
(* ux ux)
(* (+ 1 ux) (+ 1 ux))
(* ux maxCos)
maxCos
(/ (- 1 (* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos))))) (+ (* (* ux (- 1 maxCos)) (+ (* ux (- 1 maxCos)) 1)) 1))
(- 1 (* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos)))))
1
(* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos))))
(* ux (- 1 maxCos))
ux
(- 1 maxCos)
maxCos
(* (* ux (- 1 maxCos)) (* ux (- 1 maxCos)))
(+ (* (* ux (- 1 maxCos)) (+ (* ux (- 1 maxCos)) 1)) 1)
(+ (* ux (- 1 maxCos)) 1)
Outputs
(+ (* ux (+ maxCos -1)) 1)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
ux
(+ maxCos -1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
-1
#s(literal -1 binary32)
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux))) (* ux maxCos))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux)))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(- (+ 1 ux) (* (+ 1 ux) (* ux ux)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(+ 1 ux)
(+.f32 ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
ux
(* (+ 1 ux) (* ux ux))
(*.f32 ux (fma.f32 ux ux ux))
(* ux ux)
(*.f32 ux ux)
(* (+ 1 ux) (+ 1 ux))
(fma.f32 ux (+.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(* ux maxCos)
(fma.f32 ux maxCos #s(literal 0 binary32))
maxCos
(/ (- 1 (* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos))))) (+ (* (* ux (- 1 maxCos)) (+ (* ux (- 1 maxCos)) 1)) 1))
(/.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))) #s(literal 1 binary32)) (fma.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) #s(literal 1 binary32)))
(- 1 (* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos)))))
(fma.f32 (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos))))
(*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
ux
(- 1 maxCos)
(-.f32 #s(literal 1 binary32) maxCos)
maxCos
(* (* ux (- 1 maxCos)) (* ux (- 1 maxCos)))
(*.f32 ux (fma.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 0 binary32)))
(+ (* (* ux (- 1 maxCos)) (+ (* ux (- 1 maxCos)) 1)) 1)
(fma.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))) #s(literal 1 binary32))
(+ (* ux (- 1 maxCos)) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))

localize76.0ms (1%)

Memory
2.2MiB live, 158.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))))
✓accuracy99.6%
(*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
✓accuracy99.2%
(*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))
✓accuracy98.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32)))
✓accuracy99.6%
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓accuracy98.8%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓accuracy98.7%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
✓accuracy98.7%
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy100.0%
(+.f32 maxCos #s(literal -1 binary32))
✓accuracy99.9%
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
Samples
38.0ms244×0valid
3.0ms7×1valid
1.0ms4×2valid
0.0ms1×3valid
Compiler

Compiled 210 to 28 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 13.0ms (45.1% of total)
ival-add: 7.0ms (24.3% of total)
ival-sub: 5.0ms (17.3% of total)
ival-div: 3.0ms (10.4% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
16.4MiB live, 54.5MiB allocated
Counts
13 → 240
Calls
Call 1
Inputs
#<alt (+ (* ux (+ maxCos -1)) 1)>
#<alt (+ maxCos -1)>
#<alt (- 1 ux)>
#<alt (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux)))>
#<alt (+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux))) (* ux maxCos))>
#<alt (- (+ 1 ux) (* (+ 1 ux) (* ux ux)))>
#<alt (* (+ 1 ux) (* ux ux))>
#<alt (- 1 (* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos)))))>
#<alt (* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos))))>
#<alt (/ (- 1 (* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos))))) (+ (* (* ux (- 1 maxCos)) (+ (* ux (- 1 maxCos)) 1)) 1))>
#<alt (* ux (- 1 maxCos))>
#<alt (* (+ 1 ux) (+ 1 ux))>
#<alt (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos)))>
Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt -1>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt maxCos>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt maxCos>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 (* -1 ux))))>
#<alt (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3))))>
#<alt (+ 1 (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3))))>
#<alt (+ 1 (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3))))>
#<alt (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3)))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) (pow (- 1 maxCos) 3)))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) (pow (- 1 maxCos) 3)))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) (pow (- 1 maxCos) 3)))>
#<alt (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3)))>
#<alt (* (pow ux 3) (+ (* -1 (pow (- 1 maxCos) 3)) (/ 1 (pow ux 3))))>
#<alt (* (pow ux 3) (+ (* -1 (pow (- 1 maxCos) 3)) (/ 1 (pow ux 3))))>
#<alt (* (pow ux 3) (+ (* -1 (pow (- 1 maxCos) 3)) (/ 1 (pow ux 3))))>
#<alt (- 1 (pow ux 3))>
#<alt (- (+ 1 (* 3 (* maxCos (pow ux 3)))) (pow ux 3))>
#<alt (- (+ 1 (* maxCos (- (* -3 (* maxCos (pow ux 3))) (* -3 (pow ux 3))))) (pow ux 3))>
#<alt (- (+ 1 (* maxCos (- (* maxCos (- (* maxCos (pow ux 3)) (* 3 (pow ux 3)))) (* -3 (pow ux 3))))) (pow ux 3))>
#<alt (* (pow maxCos 3) (pow ux 3))>
#<alt (* (pow maxCos 3) (- (* -3 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3))))>
#<alt (* (pow maxCos 3) (- (* 3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (* 3 (/ (pow ux 3) maxCos)))))>
#<alt (* (pow maxCos 3) (- (/ 1 (pow maxCos 3)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (+ (* 3 (/ (pow ux 3) maxCos)) (/ (pow ux 3) (pow maxCos 3)))))))>
#<alt (* (pow maxCos 3) (pow ux 3))>
#<alt (* -1 (* (pow maxCos 3) (- (* 3 (/ (pow ux 3) maxCos)) (pow ux 3))))>
#<alt (* -1 (* (pow maxCos 3) (- (* -1 (/ (- (* 3 (/ (pow ux 3) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))>
#<alt (* -1 (* (pow maxCos 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (pow ux 3)) maxCos)) (* 3 (pow ux 3))) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (* (pow ux 3) (pow (- 1 maxCos) 3))>
#<alt (pow ux 3)>
#<alt (+ (* -3 (* maxCos (pow ux 3))) (pow ux 3))>
#<alt (+ (* maxCos (+ (* -3 (pow ux 3)) (* 3 (* maxCos (pow ux 3))))) (pow ux 3))>
#<alt (+ (* maxCos (+ (* -3 (pow ux 3)) (* maxCos (+ (* -1 (* maxCos (pow ux 3))) (* 3 (pow ux 3)))))) (pow ux 3))>
#<alt (* -1 (* (pow maxCos 3) (pow ux 3)))>
#<alt (* (pow maxCos 3) (+ (* -1 (pow ux 3)) (* 3 (/ (pow ux 3) maxCos))))>
#<alt (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (* 3 (/ (pow ux 3) maxCos)))))>
#<alt (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (+ (* 3 (/ (pow ux 3) maxCos)) (/ (pow ux 3) (pow maxCos 3))))))>
#<alt (* -1 (* (pow maxCos 3) (pow ux 3)))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (pow ux 3))))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (/ (pow ux 3) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))>
#<alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow ux 3) maxCos)) (* 3 (pow ux 3))) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- (+ maxCos (* -1 (* ux (+ (* (- 1 maxCos) (- maxCos 1)) (pow (- 1 maxCos) 2))))) 1)))>
#<alt (+ 1 (* ux (- (+ maxCos (* ux (- (* ux (- (* -1 (pow (- 1 maxCos) 3)) (+ (* -1 (* (+ (* (- 1 maxCos) (- maxCos 1)) (pow (- 1 maxCos) 2)) (- 1 maxCos))) (* (pow (- 1 maxCos) 2) (- maxCos 1))))) (+ (* (- 1 maxCos) (- maxCos 1)) (pow (- 1 maxCos) 2))))) 1)))>
#<alt (* -1 (* ux (- 1 maxCos)))>
#<alt (* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))>
#<alt (* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))>
#<alt (* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))>
#<alt (* -1 (* ux (- 1 maxCos)))>
#<alt (* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))>
#<alt (* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))>
#<alt (* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))>
#<alt (/ (- 1 (pow ux 3)) (+ 1 (* ux (+ 1 ux))))>
#<alt (- (+ (* maxCos (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))>
#<alt (- (+ (* maxCos (- (+ (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (* maxCos (- (* -3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))>
#<alt (- (+ (* maxCos (- (+ (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (* maxCos (- (+ (* -3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (* maxCos (- (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (+ 1 (* ux (+ 1 ux)))))))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (* -3 (/ ux maxCos))) (+ (* -1 (/ ux maxCos)) (* -1 (/ (+ 1 ux) maxCos)))))>
#<alt (* maxCos (- (+ ux (+ (* -3 (/ ux maxCos)) (* 3 (/ ux (pow maxCos 2))))) (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (/ 1 (* (pow maxCos 2) ux)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux (pow maxCos 2)) (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) (* (pow maxCos 2) ux)))))))))>
#<alt (* maxCos (- (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 3 (/ ux (pow maxCos 2))) (/ 1 (* (pow maxCos 3) (pow ux 2)))))) (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (/ 1 (* (pow maxCos 2) ux)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux (pow maxCos 2)) (+ (/ ux (pow maxCos 3)) (+ (/ (* (+ 1 (* ux (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) (* (pow maxCos 3) (pow ux 2))) (+ (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) (* (pow maxCos 2) ux)) (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 ux) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) ux)))))) (* (pow maxCos 3) ux))))))))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (* -3 ux) (* -1 (+ 1 (* 2 ux)))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -3 ux) (* -1 (/ (- (* -3 ux) (+ (* -1 (/ (+ 1 (* ux (+ 1 ux))) ux)) (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) ux))) maxCos))) (* -1 (+ 1 (* 2 ux)))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -3 ux) (* -1 (/ (- (+ (* -3 ux) (* -1 (/ (- (/ 1 (pow ux 2)) (+ ux (+ (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (+ (* -1 (/ (+ 1 (* ux (+ 1 ux))) ux)) (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) ux)))) ux) (/ (* (+ 1 (* ux (+ 1 ux))) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) (pow ux 2))))) maxCos))) (+ (* -1 (/ (+ 1 (* ux (+ 1 ux))) ux)) (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) ux))) maxCos))) (* -1 (+ 1 (* 2 ux)))) maxCos)))))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 maxCos))>
#<alt ux>
#<alt (+ ux (* -1 (* maxCos ux)))>
#<alt (+ ux (* -1 (* maxCos ux)))>
#<alt (+ ux (* -1 (* maxCos ux)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* maxCos (+ (* -1 ux) (/ ux maxCos)))>
#<alt (* maxCos (+ (* -1 ux) (/ ux maxCos)))>
#<alt (* maxCos (+ (* -1 ux) (/ ux maxCos)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))>
#<alt 1>
#<alt (+ 1 (* 2 ux))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (* (pow ux 2) (pow (- 1 maxCos) 2))>
#<alt (pow ux 2)>
#<alt (+ (* -2 (* maxCos (pow ux 2))) (pow ux 2))>
#<alt (+ (* maxCos (+ (* -2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))>
#<alt (+ (* maxCos (+ (* -2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow ux 2) maxCos)) (* 2 (pow ux 2))) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow ux 2) maxCos)) (* 2 (pow ux 2))) maxCos)) (pow ux 2)))>
Calls

60 calls:

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

rewrite460.0ms (6%)

Memory
13.2MiB live, 649.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 642×/-lowering-/.f32
4 642×/-lowering-/.f64
4 628×*-lowering-*.f32
4 628×*-lowering-*.f64
3 628×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02599
120381
2205881
0868477
Stop Event
1×iter limit
1×node limit
Counts
13 → 917
Calls
Call 1
Inputs
(+ (* ux (+ maxCos -1)) 1)
(+ maxCos -1)
(- 1 ux)
(/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux)))
(+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux))) (* ux maxCos))
(- (+ 1 ux) (* (+ 1 ux) (* ux ux)))
(* (+ 1 ux) (* ux ux))
(- 1 (* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos)))))
(* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos))))
(/ (- 1 (* (* ux (- 1 maxCos)) (* (* ux (- 1 maxCos)) (* ux (- 1 maxCos))))) (+ (* (* ux (- 1 maxCos)) (+ (* ux (- 1 maxCos)) 1)) 1))
(* ux (- 1 maxCos))
(* (+ 1 ux) (+ 1 ux))
(* (* ux (- 1 maxCos)) (* ux (- 1 maxCos)))
Outputs
(+.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)) (neg.f32 ux))
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(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal 2 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (exp.f32 (log1p.f32 ux)) (exp.f32 (log1p.f32 ux)))
(exp.f32 (*.f32 (log.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 2 binary32)))
(+.f32 (*.f32 (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32)) (*.f32 (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (neg.f32 maxCos)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (*.f32 (neg.f32 maxCos) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))))
(pow.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (log.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 (neg.f32 maxCos) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))))
(fma.f32 (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (neg.f32 maxCos)))
(/.f32 (*.f32 (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos)))) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 maxCos maxCos))))) (neg.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (+.f32 maxCos #s(literal 1 binary32))))
(*.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))
(*.f32 ux (*.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))))
(*.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))))
(*.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))
(*.f32 (*.f32 ux ux) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))
(*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) #s(literal 1 binary32))
(*.f32 (*.f32 ux (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) ux)
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(*.f32 (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 2 binary32)) (*.f32 ux ux))
(*.f32 (exp.f32 (log.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (exp.f32 (log.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))))

simplify402.0ms (5.3%)

Memory
-36.0MiB live, 729.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 178×accelerator-lowering-fma.f32
8 178×accelerator-lowering-fma.f64
4 934×*-lowering-*.f32
4 934×*-lowering-*.f64
3 272×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04223235
113823063
248632979
083982801
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
-1
(- maxCos 1)
(- maxCos 1)
(- maxCos 1)
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
1
(+ 1 (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3))))
(+ 1 (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3))))
(+ 1 (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3))))
(* -1 (* (pow ux 3) (pow (- 1 maxCos) 3)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (pow (- 1 maxCos) 3)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (pow (- 1 maxCos) 3)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (pow (- 1 maxCos) 3)))
(* -1 (* (pow ux 3) (pow (- 1 maxCos) 3)))
(* (pow ux 3) (+ (* -1 (pow (- 1 maxCos) 3)) (/ 1 (pow ux 3))))
(* (pow ux 3) (+ (* -1 (pow (- 1 maxCos) 3)) (/ 1 (pow ux 3))))
(* (pow ux 3) (+ (* -1 (pow (- 1 maxCos) 3)) (/ 1 (pow ux 3))))
(- 1 (pow ux 3))
(- (+ 1 (* 3 (* maxCos (pow ux 3)))) (pow ux 3))
(- (+ 1 (* maxCos (- (* -3 (* maxCos (pow ux 3))) (* -3 (pow ux 3))))) (pow ux 3))
(- (+ 1 (* maxCos (- (* maxCos (- (* maxCos (pow ux 3)) (* 3 (pow ux 3)))) (* -3 (pow ux 3))))) (pow ux 3))
(* (pow maxCos 3) (pow ux 3))
(* (pow maxCos 3) (- (* -3 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3))))
(* (pow maxCos 3) (- (* 3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (* 3 (/ (pow ux 3) maxCos)))))
(* (pow maxCos 3) (- (/ 1 (pow maxCos 3)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (+ (* 3 (/ (pow ux 3) maxCos)) (/ (pow ux 3) (pow maxCos 3)))))))
(* (pow maxCos 3) (pow ux 3))
(* -1 (* (pow maxCos 3) (- (* 3 (/ (pow ux 3) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (- (* -1 (/ (- (* 3 (/ (pow ux 3) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (pow ux 3)) maxCos)) (* 3 (pow ux 3))) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(pow ux 3)
(+ (* -3 (* maxCos (pow ux 3))) (pow ux 3))
(+ (* maxCos (+ (* -3 (pow ux 3)) (* 3 (* maxCos (pow ux 3))))) (pow ux 3))
(+ (* maxCos (+ (* -3 (pow ux 3)) (* maxCos (+ (* -1 (* maxCos (pow ux 3))) (* 3 (pow ux 3)))))) (pow ux 3))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* (pow maxCos 3) (+ (* -1 (pow ux 3)) (* 3 (/ (pow ux 3) maxCos))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (* 3 (/ (pow ux 3) maxCos)))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (+ (* 3 (/ (pow ux 3) maxCos)) (/ (pow ux 3) (pow maxCos 3))))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* -1 (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (/ (pow ux 3) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow ux 3) maxCos)) (* 3 (pow ux 3))) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (+ (* (- 1 maxCos) (- maxCos 1)) (pow (- 1 maxCos) 2))))) 1)))
(+ 1 (* ux (- (+ maxCos (* ux (- (* ux (- (* -1 (pow (- 1 maxCos) 3)) (+ (* -1 (* (+ (* (- 1 maxCos) (- maxCos 1)) (pow (- 1 maxCos) 2)) (- 1 maxCos))) (* (pow (- 1 maxCos) 2) (- maxCos 1))))) (+ (* (- 1 maxCos) (- maxCos 1)) (pow (- 1 maxCos) 2))))) 1)))
(* -1 (* ux (- 1 maxCos)))
(* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))
(* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))
(* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))
(* -1 (* ux (- 1 maxCos)))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(/ (- 1 (pow ux 3)) (+ 1 (* ux (+ 1 ux))))
(- (+ (* maxCos (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))
(- (+ (* maxCos (- (+ (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (* maxCos (- (* -3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))
(- (+ (* maxCos (- (+ (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (* maxCos (- (+ (* -3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (* maxCos (- (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (+ 1 (* ux (+ 1 ux)))))))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))
(* maxCos ux)
(* maxCos (- (+ ux (* -3 (/ ux maxCos))) (+ (* -1 (/ ux maxCos)) (* -1 (/ (+ 1 ux) maxCos)))))
(* maxCos (- (+ ux (+ (* -3 (/ ux maxCos)) (* 3 (/ ux (pow maxCos 2))))) (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (/ 1 (* (pow maxCos 2) ux)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux (pow maxCos 2)) (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) (* (pow maxCos 2) ux)))))))))
(* maxCos (- (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 3 (/ ux (pow maxCos 2))) (/ 1 (* (pow maxCos 3) (pow ux 2)))))) (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (/ 1 (* (pow maxCos 2) ux)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux (pow maxCos 2)) (+ (/ ux (pow maxCos 3)) (+ (/ (* (+ 1 (* ux (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) (* (pow maxCos 3) (pow ux 2))) (+ (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) (* (pow maxCos 2) ux)) (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 ux) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) ux)))))) (* (pow maxCos 3) ux))))))))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (* -3 ux) (* -1 (+ 1 (* 2 ux)))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -3 ux) (* -1 (/ (- (* -3 ux) (+ (* -1 (/ (+ 1 (* ux (+ 1 ux))) ux)) (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) ux))) maxCos))) (* -1 (+ 1 (* 2 ux)))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -3 ux) (* -1 (/ (- (+ (* -3 ux) (* -1 (/ (- (/ 1 (pow ux 2)) (+ ux (+ (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (+ (* -1 (/ (+ 1 (* ux (+ 1 ux))) ux)) (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) ux)))) ux) (/ (* (+ 1 (* ux (+ 1 ux))) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) (pow ux 2))))) maxCos))) (+ (* -1 (/ (+ 1 (* ux (+ 1 ux))) ux)) (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) ux))) maxCos))) (* -1 (+ 1 (* 2 ux)))) maxCos)))))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
1
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(pow ux 2)
(+ (* -2 (* maxCos (pow ux 2))) (pow ux 2))
(+ (* maxCos (+ (* -2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(+ (* maxCos (+ (* -2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow ux 2) maxCos)) (* 2 (pow ux 2))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow ux 2) maxCos)) (* 2 (pow ux 2))) maxCos)) (pow ux 2)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(*.f32 maxCos (+.f32 ux (+.f32 (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) (/.f32 (*.f32 ux ux) (fma.f32 ux maxCos maxCos))))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(*.f32 maxCos (+.f32 ux (+.f32 (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) (/.f32 (*.f32 ux ux) (fma.f32 ux maxCos maxCos))))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(*.f32 maxCos (+.f32 ux (+.f32 (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) (/.f32 (*.f32 ux ux) (fma.f32 ux maxCos maxCos))))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))) maxCos)))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(*.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux) #s(literal -1 binary32)))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(*.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux) #s(literal -1 binary32))))
(* -1 (pow ux 3))
(*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) (*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal -1 binary32))) ux)) (*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))
(+ 1 (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))
(+ 1 (* -1 (* (pow ux 3) (pow (- 1 maxCos) 3))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (pow (- 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (pow (- 1 maxCos) 3)))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (pow (- 1 maxCos) 3)))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (pow (- 1 maxCos) 3)))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (pow (- 1 maxCos) 3)))
(*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* (pow ux 3) (+ (* -1 (pow (- 1 maxCos) 3)) (/ 1 (pow ux 3))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))
(* (pow ux 3) (+ (* -1 (pow (- 1 maxCos) 3)) (/ 1 (pow ux 3))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))
(* (pow ux 3) (+ (* -1 (pow (- 1 maxCos) 3)) (/ 1 (pow ux 3))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))
(- 1 (pow ux 3))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(- (+ 1 (* 3 (* maxCos (pow ux 3)))) (pow ux 3))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (fma.f32 (*.f32 (*.f32 maxCos #s(literal 3 binary32)) ux) (*.f32 ux ux) #s(literal 1 binary32)))
(- (+ 1 (* maxCos (- (* -3 (* maxCos (pow ux 3))) (* -3 (pow ux 3))))) (pow ux 3))
(fma.f32 maxCos (*.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 maxCos #s(literal -3 binary32) #s(literal 3 binary32))) (fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32)))
(- (+ 1 (* maxCos (- (* maxCos (- (* maxCos (pow ux 3)) (* 3 (pow ux 3)))) (* -3 (pow ux 3))))) (pow ux 3))
(fma.f32 maxCos (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 maxCos #s(literal -3 binary32)) maxCos) (*.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32)))) (fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32)))
(* (pow maxCos 3) (pow ux 3))
(*.f32 ux (*.f32 ux (*.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos)))))
(* (pow maxCos 3) (- (* -3 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3))))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) maxCos) (*.f32 ux (*.f32 ux ux))))
(* (pow maxCos 3) (- (* 3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (* 3 (/ (pow ux 3) maxCos)))))
(*.f32 maxCos (*.f32 (*.f32 maxCos maxCos) (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 #s(literal 3 binary32) (fma.f32 ux (/.f32 (*.f32 ux ux) maxCos) (*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))) maxCos))))
(* (pow maxCos 3) (- (/ 1 (pow maxCos 3)) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (+ (* 3 (/ (pow ux 3) maxCos)) (/ (pow ux 3) (pow maxCos 3)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 #s(literal 3 binary32) (fma.f32 ux (/.f32 (*.f32 ux ux) maxCos) (*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))) maxCos)) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)))))))
(* (pow maxCos 3) (pow ux 3))
(*.f32 ux (*.f32 ux (*.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos)))))
(* -1 (* (pow maxCos 3) (- (* 3 (/ (pow ux 3) maxCos)) (pow ux 3))))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) maxCos) (*.f32 ux (*.f32 ux ux))))
(* -1 (* (pow maxCos 3) (- (* -1 (/ (- (* 3 (/ (pow ux 3) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))
(*.f32 maxCos (*.f32 (*.f32 maxCos maxCos) (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 #s(literal 3 binary32) (fma.f32 ux (/.f32 (*.f32 ux ux) maxCos) (*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))) maxCos))))
(* -1 (* (pow maxCos 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (pow ux 3)) maxCos)) (* 3 (pow ux 3))) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (+.f32 (/.f32 (fma.f32 ux (*.f32 (*.f32 ux ux) #s(literal -3 binary32)) (/.f32 (fma.f32 ux (*.f32 (*.f32 ux ux) #s(literal -3 binary32)) (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) maxCos)) (neg.f32 maxCos))) maxCos) (*.f32 ux (*.f32 ux ux))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 3) (pow (- 1 maxCos) 3))
(*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(+ (* -3 (* maxCos (pow ux 3))) (pow ux 3))
(*.f32 (fma.f32 maxCos #s(literal -3 binary32) #s(literal 1 binary32)) (*.f32 ux (*.f32 ux ux)))
(+ (* maxCos (+ (* -3 (pow ux 3)) (* 3 (* maxCos (pow ux 3))))) (pow ux 3))
(fma.f32 maxCos (*.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 maxCos #s(literal 3 binary32) #s(literal -3 binary32))) (*.f32 ux (*.f32 ux ux)))
(+ (* maxCos (+ (* -3 (pow ux 3)) (* maxCos (+ (* -1 (* maxCos (pow ux 3))) (* 3 (pow ux 3)))))) (pow ux 3))
(fma.f32 (fma.f32 maxCos #s(literal -3 binary32) #s(literal 1 binary32)) (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 maxCos maxCos) (*.f32 (*.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 3 binary32) maxCos))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(*.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos)))))
(* (pow maxCos 3) (+ (* -1 (pow ux 3)) (* 3 (/ (pow ux 3) maxCos))))
(*.f32 (neg.f32 maxCos) (*.f32 (*.f32 maxCos maxCos) (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) maxCos) (*.f32 ux (*.f32 ux ux)))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (* 3 (/ (pow ux 3) maxCos)))))
(*.f32 maxCos (neg.f32 (*.f32 (*.f32 maxCos maxCos) (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 #s(literal 3 binary32) (fma.f32 ux (/.f32 (*.f32 ux ux) maxCos) (*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))) maxCos)))))
(* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) (pow maxCos 2))) (+ (* -1 (pow ux 3)) (+ (* 3 (/ (pow ux 3) maxCos)) (/ (pow ux 3) (pow maxCos 3))))))
(*.f32 (*.f32 maxCos (*.f32 maxCos maxCos)) (fma.f32 #s(literal -1 binary32) (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 #s(literal 3 binary32) (fma.f32 ux (/.f32 (*.f32 ux ux) maxCos) (*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))) maxCos)) (/.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(*.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos)))))
(* -1 (* (pow maxCos 3) (+ (* -3 (/ (pow ux 3) maxCos)) (pow ux 3))))
(*.f32 (neg.f32 maxCos) (*.f32 (*.f32 maxCos maxCos) (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) maxCos) (*.f32 ux (*.f32 ux ux)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -3 (/ (pow ux 3) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))
(*.f32 maxCos (neg.f32 (*.f32 (*.f32 maxCos maxCos) (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 #s(literal 3 binary32) (fma.f32 ux (/.f32 (*.f32 ux ux) maxCos) (*.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))) maxCos)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow ux 3) maxCos)) (* 3 (pow ux 3))) maxCos)) (* 3 (pow ux 3))) maxCos)) (pow ux 3))))
(*.f32 (fma.f32 ux (*.f32 ux ux) (neg.f32 (/.f32 (fma.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32)) (/.f32 (fma.f32 ux (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 ux ux) maxCos)) (*.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32)))) (neg.f32 maxCos))) maxCos))) (neg.f32 (*.f32 maxCos (*.f32 maxCos maxCos))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (+ (* (- 1 maxCos) (- maxCos 1)) (pow (- 1 maxCos) 2))))) 1)))
(fma.f32 ux (fma.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (- (* ux (- (* -1 (pow (- 1 maxCos) 3)) (+ (* -1 (* (+ (* (- 1 maxCos) (- maxCos 1)) (pow (- 1 maxCos) 2)) (- 1 maxCos))) (* (pow (- 1 maxCos) 2) (- maxCos 1))))) (+ (* (- 1 maxCos) (- maxCos 1)) (pow (- 1 maxCos) 2))))) 1)))
(fma.f32 ux (fma.f32 ux (fma.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1 binary32))
(* -1 (* ux (- 1 maxCos)))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- 1 maxCos)))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- 1 (+ maxCos (/ 1 ux)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(/ (- 1 (pow ux 3)) (+ 1 (* ux (+ 1 ux))))
(/.f32 (fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(- (+ (* maxCos (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))
(fma.f32 maxCos (fma.f32 ux (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (/.f32 (fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(- (+ (* maxCos (- (+ (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (* maxCos (- (* -3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))
(fma.f32 maxCos (fma.f32 ux (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (fma.f32 maxCos (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (fma.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (fma.f32 ux (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))) (/.f32 (*.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (/.f32 (fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(- (+ (* maxCos (- (+ (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (* maxCos (- (+ (* -3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (* maxCos (- (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (+ 1 (* ux (+ 1 ux)))))))) (+ (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 (/ (pow ux 3) (+ 1 (* ux (+ 1 ux))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2))))) (+ 1 (* ux (+ 1 ux)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))))) (/ (* ux (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- 1 (pow ux 3)))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))
(fma.f32 maxCos (fma.f32 maxCos (fma.f32 maxCos (fma.f32 ux (/.f32 (*.f32 ux ux) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (neg.f32 (fma.f32 ux (*.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (fma.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (fma.f32 ux (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 ux ux) (/.f32 (fma.f32 ux (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (/.f32 #s(literal -3 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (fma.f32 (neg.f32 ux) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (fma.f32 ux (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))))) (fma.f32 ux (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (*.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (/.f32 (*.f32 ux (*.f32 (*.f32 ux ux) #s(literal 3 binary32))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (/.f32 (fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (* -3 (/ ux maxCos))) (+ (* -1 (/ ux maxCos)) (* -1 (/ (+ 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (+.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 1 binary32)) ux) maxCos)))
(* maxCos (- (+ ux (+ (* -3 (/ ux maxCos)) (* 3 (/ ux (pow maxCos 2))))) (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (/ 1 (* (pow maxCos 2) ux)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux (pow maxCos 2)) (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) (* (pow maxCos 2) ux)))))))))
(*.f32 maxCos (-.f32 (fma.f32 ux (/.f32 #s(literal 3 binary32) (*.f32 maxCos maxCos)) (fma.f32 ux (/.f32 #s(literal -3 binary32) maxCos) ux)) (+.f32 (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) maxCos) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (+.f32 (fma.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (/.f32 (+.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 1 binary32)) ux) (*.f32 ux (*.f32 maxCos maxCos))) (/.f32 ux (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 maxCos maxCos))))))))
(* maxCos (- (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 3 (/ ux (pow maxCos 2))) (/ 1 (* (pow maxCos 3) (pow ux 2)))))) (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (+ 1 ux) maxCos)) (+ (/ 1 (* (pow maxCos 2) ux)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux (pow maxCos 2)) (+ (/ ux (pow maxCos 3)) (+ (/ (* (+ 1 (* ux (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) (* (pow maxCos 3) (pow ux 2))) (+ (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) (* (pow maxCos 2) ux)) (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* 3 ux) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -1 ux) (* -1 (+ 1 ux))) (- (* -3 ux) (+ (* -1 ux) (* -1 (+ 1 ux))))) ux)))))) (* (pow maxCos 3) ux))))))))))))
(*.f32 maxCos (-.f32 (-.f32 (+.f32 (fma.f32 ux (/.f32 #s(literal 3 binary32) (*.f32 maxCos maxCos)) (fma.f32 ux (/.f32 #s(literal -3 binary32) maxCos) ux)) (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos)))))) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) maxCos)) (+.f32 (+.f32 (/.f32 ux (*.f32 maxCos maxCos)) (fma.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 (+.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 1 binary32)) ux) (*.f32 ux (*.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos))))) (fma.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) ux) (+.f32 (/.f32 (+.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 1 binary32)) ux) (*.f32 ux (*.f32 maxCos maxCos))) (/.f32 (-.f32 (fma.f32 ux #s(literal 3 binary32) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 (+.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 1 binary32)) ux) (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (*.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos))))) (/.f32 ux (*.f32 maxCos (*.f32 maxCos maxCos)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 maxCos maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (* -3 ux) (* -1 (+ 1 (* 2 ux)))) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -3 ux) (* -1 (/ (- (* -3 ux) (+ (* -1 (/ (+ 1 (* ux (+ 1 ux))) ux)) (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) ux))) maxCos))) (* -1 (+ 1 (* 2 ux)))) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (+.f32 (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) ux) (/.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))) (neg.f32 maxCos)) (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (* -3 ux) (* -1 (/ (- (+ (* -3 ux) (* -1 (/ (- (/ 1 (pow ux 2)) (+ ux (+ (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (+ (* -1 (/ (+ 1 (* ux (+ 1 ux))) ux)) (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) ux)))) ux) (/ (* (+ 1 (* ux (+ 1 ux))) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) (pow ux 2))))) maxCos))) (+ (* -1 (/ (+ 1 (* ux (+ 1 ux))) ux)) (/ (* (+ 1 (* 2 ux)) (- (* -3 ux) (* -1 (+ 1 (* 2 ux))))) ux))) maxCos))) (* -1 (+ 1 (* 2 ux)))) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) ux) (/.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))) ux) (fma.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 ux ux)) ux))) (neg.f32 maxCos)) (fma.f32 ux #s(literal -3 binary32) (fma.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) ux) (/.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))) (neg.f32 maxCos)) (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))) maxCos)))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* ux (- 1 maxCos))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(+ ux (* -1 (* maxCos ux)))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(+ ux (* -1 (* maxCos ux)))
(*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* maxCos ux))
(-.f32 #s(literal 0 binary32) (*.f32 ux maxCos))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 maxCos (-.f32 (/.f32 ux maxCos) ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 maxCos (-.f32 (/.f32 ux maxCos) ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 maxCos (-.f32 (/.f32 ux maxCos) ux))
(* -1 (* maxCos ux))
(-.f32 #s(literal 0 binary32) (*.f32 ux maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 maxCos (-.f32 (/.f32 ux maxCos) ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 maxCos (-.f32 (/.f32 ux maxCos) ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 maxCos (-.f32 (/.f32 ux maxCos) ux))
1
#s(literal 1 binary32)
(+ 1 (* 2 ux))
(fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal 1 binary32))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 ux (*.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(pow ux 2)
(*.f32 ux ux)
(+ (* -2 (* maxCos (pow ux 2))) (pow ux 2))
(*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 1 binary32)) (*.f32 ux ux))
(+ (* maxCos (+ (* -2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(fma.f32 maxCos (*.f32 (*.f32 ux ux) (+.f32 maxCos #s(literal -2 binary32))) (*.f32 ux ux))
(+ (* maxCos (+ (* -2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(fma.f32 maxCos (*.f32 (*.f32 ux ux) (+.f32 maxCos #s(literal -2 binary32))) (*.f32 ux ux))
(* (pow maxCos 2) (pow ux 2))
(*.f32 ux (*.f32 ux (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -2 binary32) maxCos) (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (*.f32 maxCos maxCos) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -2 binary32) maxCos) (fma.f32 ux ux (*.f32 ux (/.f32 ux (*.f32 maxCos maxCos))))))
(* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (*.f32 maxCos maxCos) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -2 binary32) maxCos) (fma.f32 ux ux (*.f32 ux (/.f32 ux (*.f32 maxCos maxCos))))))
(* (pow maxCos 2) (pow ux 2))
(*.f32 ux (*.f32 ux (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (fma.f32 (*.f32 ux ux) (/.f32 #s(literal -2 binary32) maxCos) (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow ux 2) maxCos)) (* 2 (pow ux 2))) maxCos)) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (/.f32 (fma.f32 ux (/.f32 ux (neg.f32 maxCos)) (*.f32 ux (*.f32 ux #s(literal 2 binary32)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow ux 2) maxCos)) (* 2 (pow ux 2))) maxCos)) (pow ux 2)))
(*.f32 (*.f32 maxCos maxCos) (-.f32 (*.f32 ux ux) (/.f32 (fma.f32 ux (/.f32 ux (neg.f32 maxCos)) (*.f32 ux (*.f32 ux #s(literal 2 binary32)))) maxCos)))

eval213.0ms (2.8%)

Memory
33.8MiB live, 228.2MiB allocated
Compiler

Compiled 51 451 to 3 554 computations (93.1% saved)

prune198.0ms (2.6%)

Memory
17.2MiB live, 366.1MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1 30341 307
Fresh000
Picked235
Done101
Total1 30671 313
Accuracy
100.0%
Counts
1 313 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
▶99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
▶99.9%
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
▶96.7%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
✓97.8%
(-.f32 #s(literal 1 binary32) ux)
▶97.3%
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos)))
✓70.9%
#s(literal 1 binary32)
Compiler

Compiled 72 to 50 computations (30.6% saved)

simplify261.0ms (3.4%)

Memory
-7.4MiB live, 514.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(/.f32 ux maxCos)
✓cost-diff0
(-.f32 ux (/.f32 ux maxCos))
✓cost-diff352
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
✓cost-diff0
(+.f32 ux #s(literal 1 binary32))
✓cost-diff0
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
✓cost-diff32
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
✓cost-diff64
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
✓cost-diff0
(/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos)
✓cost-diff0
(+.f32 ux (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos))
✓cost-diff288
(fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))
✓cost-diff416
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos)))
Rules
8 180×accelerator-lowering-fma.f32
8 180×accelerator-lowering-fma.f64
3 586×*-lowering-*.f32
3 586×*-lowering-*.f64
1 730×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026147
168119
2124105
329199
462199
5204899
6514999
0822493
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* maxCos (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)))
maxCos
(+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos))
ux
(/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)
(+ (* ux -3) (+ (* ux 2) 1))
-3
(+ (* ux 2) 1)
2
1
(/ (- 1 (* ux (* ux ux))) (+ (* ux (+ ux 1)) 1))
(- 1 (* ux (* ux ux)))
1
(* ux (* ux ux))
ux
(* ux ux)
(+ (* ux (+ ux 1)) 1)
(+ ux 1)
(+ (* maxCos (- ux (/ ux maxCos))) 1)
maxCos
(- ux (/ ux maxCos))
ux
(/ ux maxCos)
1
(+ (* ux maxCos) (- 1 ux))
ux
maxCos
(- 1 ux)
1
Outputs
(* maxCos (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
maxCos
(+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
ux
(/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(+ (* ux -3) (+ (* ux 2) 1))
(-.f32 #s(literal 1 binary32) ux)
-3
#s(literal -3 binary32)
(+ (* ux 2) 1)
(fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))
2
#s(literal 2 binary32)
1
#s(literal 1 binary32)
(/ (- 1 (* ux (* ux ux))) (+ (* ux (+ ux 1)) 1))
(/.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
(- 1 (* ux (* ux ux)))
(fma.f32 ux (fma.f32 ux (neg.f32 ux) #s(literal 0 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* ux (* ux ux))
(fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal 0 binary32))
ux
(* ux ux)
(fma.f32 ux ux #s(literal 0 binary32))
(+ (* ux (+ ux 1)) 1)
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(+ ux 1)
(+.f32 ux #s(literal 1 binary32))
(+ (* maxCos (- ux (/ ux maxCos))) 1)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
maxCos
(- ux (/ ux maxCos))
(-.f32 ux (/.f32 ux maxCos))
ux
(/ ux maxCos)
(/.f32 ux maxCos)
1
#s(literal 1 binary32)
(+ (* ux maxCos) (- 1 ux))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
ux
maxCos
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)

localize148.0ms (1.9%)

Memory
8.7MiB live, 126.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(/.f32 ux maxCos)
✓accuracy99.9%
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
✓accuracy99.8%
(-.f32 ux (/.f32 ux maxCos))
✓accuracy100.0%
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
✓accuracy99.2%
(*.f32 ux (*.f32 ux ux))
✓accuracy98.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
✓accuracy100.0%
(+.f32 ux (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos))
✓accuracy99.5%
(/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos)
✓accuracy98.3%
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos)))
✓accuracy98.1%
(fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))
Samples
66.0ms245×0valid
4.0ms7×3valid
2.0ms4×4valid
Compiler

Compiled 122 to 29 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 38.0ms (66.6% of total)
ival-add: 8.0ms (14% of total)
ival-div: 6.0ms (10.5% of total)
ival-sub: 4.0ms (7% of total)
adjust: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-8.0MiB live, 30.0MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#<alt (* maxCos (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)))>
#<alt (+ (* ux -3) (+ (* ux 2) 1))>
#<alt (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos))>
#<alt (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)>
#<alt (/ (- 1 (* ux (* ux ux))) (+ (* ux (+ ux 1)) 1))>
#<alt (- 1 (* ux (* ux ux)))>
#<alt (+ (* ux (+ ux 1)) 1)>
#<alt (+ ux 1)>
#<alt (+ (* maxCos (- ux (/ ux maxCos))) 1)>
#<alt (- ux (/ ux maxCos))>
#<alt (/ ux maxCos)>
#<alt (+ (* ux maxCos) (- 1 ux))>
#<alt (- 1 ux)>
#<alt (* ux (* ux ux))>
Outputs
#<alt (+ 1 (+ (* -3 ux) (* 2 ux)))>
#<alt (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux))))>
#<alt (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux))))>
#<alt (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos)))))>
#<alt (* maxCos (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos)))))>
#<alt (* maxCos (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (* maxCos (* ux (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))))>
#<alt (* ux (+ (* maxCos (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))) (/ 1 ux)))>
#<alt (* ux (+ (* maxCos (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))) (/ 1 ux)))>
#<alt (* ux (+ (* maxCos (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))) (/ 1 ux)))>
#<alt (* -1 (* maxCos (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos)))))))>
#<alt (* -1 (* ux (- (* maxCos (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* maxCos (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* maxCos (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))) (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (/ 1 maxCos)>
#<alt (+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))>
#<alt (+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))>
#<alt (+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))>
#<alt (* ux (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos))))>
#<alt (* ux (- (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))) (* 3 (/ 1 maxCos))))>
#<alt (* ux (- (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))) (* 3 (/ 1 maxCos))))>
#<alt (* ux (- (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))) (* 3 (/ 1 maxCos))))>
#<alt (* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))))>
#<alt (* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))))))>
#<alt (* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))))))>
#<alt (* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))))))>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux)))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux)))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux)))) maxCos)>
#<alt ux>
#<alt (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt ux>
#<alt (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (/ 1 maxCos)>
#<alt (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))>
#<alt (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))>
#<alt (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))>
#<alt (* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))>
#<alt (* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))>
#<alt (* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (* maxCos (* ux (- 1 (/ 1 maxCos))))>
#<alt (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))>
#<alt (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))>
#<alt (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))>
#<alt (* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))>
#<alt (* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) 1)))>
#<alt (* -1 (/ ux maxCos))>
#<alt (/ (- (* maxCos ux) ux) maxCos)>
#<alt (/ (- (* maxCos ux) ux) maxCos)>
#<alt (/ (- (* maxCos ux) ux) maxCos)>
#<alt ux>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt ux>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt (/ ux maxCos)>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
maxCos
@0
(* maxCos (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)))
1.0ms
ux
@0
(* maxCos (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)))
1.0ms
ux
@inf
(* maxCos (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)))
1.0ms
maxCos
@inf
(* maxCos (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)))
1.0ms
maxCos
@-inf
(* maxCos (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)))

rewrite465.0ms (6.1%)

Memory
-32.6MiB live, 785.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 528×accelerator-lowering-fma.f32
5 528×accelerator-lowering-fma.f64
4 660×/-lowering-/.f32
4 660×/-lowering-/.f64
4 174×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02696
118480
2181980
0851172
Stop Event
1×iter limit
1×node limit
Counts
14 → 587
Calls
Call 1
Inputs
(* maxCos (+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)))
(+ (* ux -3) (+ (* ux 2) 1))
(+ ux (/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos))
(/ (+ (* ux -3) (+ (* ux 2) 1)) maxCos)
(/ (- 1 (* ux (* ux ux))) (+ (* ux (+ ux 1)) 1))
(- 1 (* ux (* ux ux)))
(+ (* ux (+ ux 1)) 1)
(+ ux 1)
(+ (* maxCos (- ux (/ ux maxCos))) 1)
(- ux (/ ux maxCos))
(/ ux maxCos)
(+ (* ux maxCos) (- 1 ux))
(- 1 ux)
(* ux (* ux ux))
Outputs
(+.f32 (*.f32 maxCos ux) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(+.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 maxCos ux))
(fma.f32 maxCos ux (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 maxCos (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) (*.f32 maxCos ux))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32) (*.f32 maxCos ux))
(fma.f32 (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) maxCos (*.f32 maxCos ux))
(fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 maxCos (/.f32 #s(literal 1 binary32) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 maxCos ux))
(fma.f32 (*.f32 maxCos (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos ux))
(fma.f32 (/.f32 maxCos maxCos) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 maxCos ux))
(fma.f32 (/.f32 maxCos (/.f32 maxCos (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -27 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (-.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 ux #s(literal -3 binary32))) (*.f32 (*.f32 ux ux) #s(literal 9 binary32)))) (*.f32 maxCos ux))
(fma.f32 (/.f32 maxCos (/.f32 maxCos (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))) (*.f32 maxCos ux))
(fma.f32 (/.f32 maxCos #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))) maxCos) (*.f32 maxCos ux))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 maxCos (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -27 binary32))))) (/.f32 maxCos (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (-.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 ux #s(literal -3 binary32))) (*.f32 (*.f32 ux ux) #s(literal 9 binary32)))) (*.f32 maxCos ux))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 maxCos (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))))) (/.f32 maxCos (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))) (*.f32 maxCos ux))
(fma.f32 (/.f32 (neg.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 maxCos maxCos) (*.f32 maxCos ux))
(-.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 maxCos maxCos)) (-.f32 (*.f32 maxCos ux) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 maxCos ux) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32))) (fma.f32 maxCos (*.f32 ux (*.f32 maxCos ux)) (-.f32 (*.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 maxCos ux) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (*.f32 maxCos maxCos)) (*.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (-.f32 (*.f32 maxCos ux) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 maxCos (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 maxCos (*.f32 maxCos maxCos))))) (fma.f32 (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) (-.f32 (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) ux) (*.f32 ux ux)))
(/.f32 (*.f32 maxCos (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))) (*.f32 maxCos maxCos)))) (-.f32 ux (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos)))
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 maxCos (*.f32 maxCos maxCos)))) maxCos) (fma.f32 (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) (-.f32 (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) ux) (*.f32 ux ux)))
(/.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))) (*.f32 maxCos maxCos))) maxCos) (-.f32 ux (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos)))
(/.f32 (neg.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)) (*.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32)))) (neg.f32 (fma.f32 maxCos (*.f32 ux (*.f32 maxCos ux)) (-.f32 (*.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 maxCos ux) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 ux ux) (*.f32 maxCos maxCos)) (*.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))))) (neg.f32 (-.f32 (*.f32 maxCos ux) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 maxCos (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 maxCos (*.f32 maxCos maxCos)))))) (neg.f32 (fma.f32 (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) (-.f32 (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) ux) (*.f32 ux ux))))
(/.f32 (neg.f32 (*.f32 maxCos (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))) (*.f32 maxCos maxCos))))) (neg.f32 (-.f32 ux (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) (/.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)))) (*.f32 maxCos (*.f32 maxCos maxCos)))) maxCos)) (neg.f32 (fma.f32 (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) (-.f32 (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos) ux) (*.f32 ux ux))))
(/.f32 (neg.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))) (*.f32 maxCos maxCos))) maxCos)) (neg.f32 (-.f32 ux (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)))) #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 maxCos (*.f32 maxCos maxCos)))) (fma.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 ux ux) (*.f32 maxCos maxCos)) (*.f32 (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 maxCos ux)))))
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos)))
(*.f32 (+.f32 ux (/.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) maxCos)) maxCos)
(+.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))
(+.f32 (*.f32 ux #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -3 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -1 binary32)))
(+.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 ux #s(literal -3 binary32)))
(+.f32 (*.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (fma.f32 ux #s(literal -3 binary32) #s(literal 1 binary32)) (*.f32 ux #s(literal 2 binary32)))
(pow.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (-.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 ux #s(literal -3 binary32))) (*.f32 (*.f32 ux ux) #s(literal 9 binary32))) (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -27 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))
(fma.f32 ux #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -3 binary32))))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -3 binary32) ux (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))
(fma.f32 #s(literal 2 binary32) ux (+.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -3 binary32))))
(fma.f32 (*.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -3 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 ux #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 ux #s(literal -3 binary32))))
(fma.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) #s(literal 8 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux #s(literal 2 binary32))))) (*.f32 ux #s(literal -3 binary32)))
(fma.f32 (fma.f32 (*.f32 ux ux) #s(literal 4 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal -1 binary32))) (*.f32 ux #s(literal -3 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 ux ux) #s(literal 9 binary32)) (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))) (/.f32 (*.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (-.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 ux #s(literal -3 binary32)))) (/.f32 (*.f32 (*.f32 ux ux) #s(literal 9 binary32)) (-.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 ux #s(literal -3 binary32)))))
(-.f32 (/.f32 (*.f32 (*.f32 ux #s(literal -1 binary32)) (*.f32 ux #s(literal -1 binary32))) (-.f32 (*.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (-.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 ux #s(literal -3 binary32))) (*.f32 (*.f32 ux ux) #s(literal 9 binary32))) (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -27 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32)) (-.f32 (*.f32 ux #s(literal -3 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))))))
(/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -27 binary32))) (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (-.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 ux #s(literal -3 binary32))) (*.f32 (*.f32 ux ux) #s(literal 9 binary32))))
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(*.f32 (pow.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal -1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (fma.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal -1 binary32)))))
(exp.f32 (fma.f32 #s(literal 3 binary32) (log.f32 ux) #s(literal 0 binary32)))
(pow.f32 ux #s(literal 3 binary32))
(pow.f32 (*.f32 ux ux) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 ux #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 ux)) #s(literal 3 binary32))
(*.f32 ux (*.f32 ux ux))
(*.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(*.f32 (*.f32 ux ux) ux)
(*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32))
(*.f32 (pow.f32 ux #s(literal 3/2 binary32)) (pow.f32 ux #s(literal 3/2 binary32)))

simplify447.0ms (5.8%)

Memory
-2.0MiB live, 808.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 082×accelerator-lowering-fma.f32
16 082×accelerator-lowering-fma.f64
4 184×*-lowering-*.f32
4 184×*-lowering-*.f64
2 154×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01411436
14231289
211421161
347651161
080981099
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(+ 1 (+ (* -3 ux) (* 2 ux)))
(+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux))))
(+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux))))
(+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux))))
(* maxCos ux)
(* maxCos (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos)))))
(* maxCos (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos)))))
(* maxCos (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)))))
1
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* maxCos (* ux (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))))
(* ux (+ (* maxCos (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))) (/ 1 ux)))
(* ux (+ (* maxCos (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))) (/ 1 ux)))
(* ux (+ (* maxCos (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))) (/ 1 ux)))
(* -1 (* maxCos (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos)))))))
(* -1 (* ux (- (* maxCos (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))) (/ 1 ux))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(/ 1 maxCos)
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(* ux (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos))))
(* ux (- (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))) (* 3 (/ 1 maxCos))))
(* ux (- (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))) (* 3 (/ 1 maxCos))))
(* ux (- (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))) (* 3 (/ 1 maxCos))))
(* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))))
(* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))))))
(* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))))))
(* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))))))
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux)))) maxCos)
(/ (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux)))) maxCos)
(/ (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux)))) maxCos)
ux
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
ux
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(/ 1 maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(* -1 (/ ux maxCos))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(* -1 (/ ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(* -1 (pow ux 3))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
1
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(* -1 (/ ux maxCos))
(/ (- (* maxCos ux) ux) maxCos)
(/ (- (* maxCos ux) ux) maxCos)
(/ (- (* maxCos ux) ux) maxCos)
ux
(+ ux (* -1 (/ ux maxCos)))
(+ ux (* -1 (/ ux maxCos)))
(+ ux (* -1 (/ ux maxCos)))
ux
(+ ux (* -1 (/ ux maxCos)))
(+ ux (* -1 (/ ux maxCos)))
(+ ux (* -1 (/ ux maxCos)))
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
(/ ux maxCos)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
Outputs
(+ 1 (+ (* -3 ux) (* 2 ux)))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (* ux (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (+ (* maxCos (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))) (/ 1 ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (+ (* maxCos (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))) (/ 1 ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (+ (* maxCos (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos)))) (/ 1 ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos)))))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (* maxCos (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (* maxCos (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (* maxCos (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+ (* ux (- 1 (/ 1 maxCos))) (/ 1 maxCos))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* ux (- (+ 1 (* 2 (/ 1 maxCos))) (* 3 (/ 1 maxCos))))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))) (* 3 (/ 1 maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* ux (- (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))) (* 3 (/ 1 maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* ux (- (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))) (* 3 (/ 1 maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (* 2 (/ 1 maxCos))))))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(* -1 (* ux (- (* 3 (/ 1 maxCos)) (+ 1 (+ (* 2 (/ 1 maxCos)) (/ 1 (* maxCos ux)))))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux)))) maxCos)
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/ (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux)))) maxCos)
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/ (+ 1 (+ (* -3 ux) (+ (* 2 ux) (* maxCos ux)))) maxCos)
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
ux
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
ux
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(+ ux (+ (* -3 (/ ux maxCos)) (+ (* 2 (/ ux maxCos)) (/ 1 maxCos))))
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(+ (* -1 (/ ux maxCos)) (/ 1 maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (/ ux maxCos))
(/.f32 ux (neg.f32 maxCos))
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* ux (- (/ 1 (* maxCos ux)) (/ 1 maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (/ ux maxCos))
(/.f32 ux (neg.f32 maxCos))
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(* -1 (* ux (- (/ 1 maxCos) (/ 1 (* maxCos ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(/ (+ 1 (+ (* -3 ux) (* 2 ux))) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 ux)))
(fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 ux)))
(fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(/.f32 ux (neg.f32 maxCos))
(/ (- (* maxCos ux) ux) maxCos)
(-.f32 ux (/.f32 ux maxCos))
(/ (- (* maxCos ux) ux) maxCos)
(-.f32 ux (/.f32 ux maxCos))
(/ (- (* maxCos ux) ux) maxCos)
(-.f32 ux (/.f32 ux maxCos))
ux
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
ux
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
(/ ux maxCos)
(/.f32 ux maxCos)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))

eval73.0ms (1%)

Memory
-3.4MiB live, 193.5MiB allocated
Compiler

Compiled 19 471 to 1 739 computations (91.1% saved)

prune113.0ms (1.5%)

Memory
-6.5MiB live, 192.0MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New8372839
Fresh000
Picked224
Done033
Total8397846
Accuracy
100.0%
Counts
846 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
✓99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
▶99.2%
(fma.f32 maxCos (fma.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 1 binary32))
▶97.7%
(fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))
✓97.8%
(-.f32 #s(literal 1 binary32) ux)
✓97.3%
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos)))
✓70.9%
#s(literal 1 binary32)
Compiler

Compiled 67 to 48 computations (28.4% saved)

simplify245.0ms (3.2%)

Memory
11.7MiB live, 369.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) maxCos)
✓cost-diff0
(neg.f32 ux)
✓cost-diff160
(fma.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos) ux)
✓cost-diff352
(fma.f32 maxCos (fma.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 1 binary32))
✓cost-diff-32
(/.f32 ux (neg.f32 maxCos))
✓cost-diff0
(neg.f32 maxCos)
✓cost-diff544
(fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))
Rules
5 100×accelerator-lowering-fma.f32
5 100×accelerator-lowering-fma.f64
4 400×*-lowering-*.f32
4 400×*-lowering-*.f64
1 096×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01345
13941
210332
323332
448032
5184832
6380232
7552632
8657832
9693132
10709532
0801031
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* maxCos (/ ux (neg maxCos))) 1)
maxCos
(/ ux (neg maxCos))
ux
(neg maxCos)
1
(+ (* maxCos (+ (* (neg ux) (/ 1 maxCos)) ux)) 1)
maxCos
(+ (* (neg ux) (/ 1 maxCos)) ux)
(neg ux)
ux
(/ 1 maxCos)
1
Outputs
(+ (* maxCos (/ ux (neg maxCos))) 1)
(-.f32 #s(literal 1 binary32) ux)
maxCos
(/ ux (neg maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
ux
(neg maxCos)
(neg.f32 maxCos)
1
#s(literal 1 binary32)
(+ (* maxCos (+ (* (neg ux) (/ 1 maxCos)) ux)) 1)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
maxCos
(+ (* (neg ux) (/ 1 maxCos)) ux)
(-.f32 ux (/.f32 ux maxCos))
(neg ux)
(neg.f32 ux)
ux
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
1
#s(literal 1 binary32)

localize43.0ms (0.6%)

Memory
12.7MiB live, 92.6MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) maxCos)
✓accuracy100.0%
(neg.f32 ux)
✓accuracy100.0%
(fma.f32 maxCos (fma.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 1 binary32))
✓accuracy98.4%
(fma.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos) ux)
✓accuracy100.0%
(/.f32 ux (neg.f32 maxCos))
✓accuracy100.0%
(neg.f32 maxCos)
✓accuracy100.0%
(fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))
Samples
24.0ms245×0valid
7.0ms11×5exit
Compiler

Compiled 43 to 16 computations (62.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 7.0ms (32.7% of total)
ival-add: 6.0ms (28% of total)
ival-mult: 5.0ms (23.4% of total)
ival-neg: 3.0ms (14% of total)
adjust: 1.0ms (4.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
7 → 132
Calls
Call 1
Inputs
#<alt (+ (* maxCos (/ ux (neg maxCos))) 1)>
#<alt (neg maxCos)>
#<alt (/ ux (neg maxCos))>
#<alt (+ (* maxCos (+ (* (neg ux) (/ 1 maxCos)) ux)) 1)>
#<alt (+ (* (neg ux) (/ 1 maxCos)) ux)>
#<alt (neg ux)>
#<alt (/ 1 maxCos)>
Outputs
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 maxCos)>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (* -1 (/ ux maxCos))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))>
#<alt (* maxCos (* ux (- 1 (/ 1 maxCos))))>
#<alt (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))>
#<alt (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))>
#<alt (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))>
#<alt (* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))>
#<alt (* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* ux (- 1 (/ 1 maxCos)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* ux (- (/ 1 maxCos) 1)))>
#<alt (* -1 (/ ux maxCos))>
#<alt (/ (+ (* -1 ux) (* maxCos ux)) maxCos)>
#<alt (/ (+ (* -1 ux) (* maxCos ux)) maxCos)>
#<alt (/ (+ (* -1 ux) (* maxCos ux)) maxCos)>
#<alt ux>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt ux>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (+ ux (* -1 (/ ux maxCos)))>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
#<alt (/ 1 maxCos)>
Calls

33 calls:

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

rewrite374.0ms (4.9%)

Memory
-20.1MiB live, 414.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 004×accelerator-lowering-fma.f32
8 004×accelerator-lowering-fma.f64
3 034×*-lowering-*.f32
3 034×*-lowering-*.f64
2 186×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
18733
270424
0829623
Stop Event
1×iter limit
1×node limit
Counts
7 → 528
Calls
Call 1
Inputs
(+ (* maxCos (/ ux (neg maxCos))) 1)
(neg maxCos)
(/ ux (neg maxCos))
(+ (* maxCos (+ (* (neg ux) (/ 1 maxCos)) ux)) 1)
(+ (* (neg ux) (/ 1 maxCos)) ux)
(neg ux)
(/ 1 maxCos)
Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(neg.f32 (/.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)))
(neg.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal -1 binary32))))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 maxCos (/.f32 ux maxCos) #s(literal 1 binary32))
(fma.f32 maxCos (/.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) maxCos) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (neg.f32 maxCos) (/.f32 ux maxCos) #s(literal 1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos ux) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(fma.f32 (/.f32 ux maxCos) maxCos #s(literal 1 binary32))
(fma.f32 (/.f32 ux maxCos) (neg.f32 maxCos) #s(literal 1 binary32))
(fma.f32 (/.f32 ux maxCos) (/.f32 (*.f32 maxCos ux) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (fma.f32 maxCos maxCos #s(literal 0 binary32))) (/.f32 (fma.f32 maxCos maxCos #s(literal 0 binary32)) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (*.f32 maxCos ux) #s(literal 1 binary32))
(fma.f32 (*.f32 maxCos ux) (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 (*.f32 maxCos ux) (/.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 (*.f32 maxCos ux) (/.f32 (/.f32 ux maxCos) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) #s(literal 1 binary32))
(fma.f32 (fma.f32 maxCos maxCos #s(literal 0 binary32)) (/.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (fma.f32 maxCos maxCos #s(literal 0 binary32))) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 maxCos ux)) #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) maxCos) (/.f32 maxCos (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (*.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 maxCos ux) (pow.f32 maxCos #s(literal -1/2 binary32))) (pow.f32 maxCos #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 maxCos ux) (neg.f32 (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32))))) (fma.f32 maxCos maxCos #s(literal 0 binary32)) #s(literal 1 binary32))
(fma.f32 (/.f32 (*.f32 maxCos ux) (-.f32 #s(literal 0 binary32) (fma.f32 maxCos maxCos #s(literal 0 binary32)))) maxCos #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 0 binary32) (+.f32 ux #s(literal -1 binary32)))
(-.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (neg.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 (fma.f32 ux ux #s(literal 0 binary32)) (*.f32 ux (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))))) #s(literal 1 binary32)) (*.f32 (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (fma.f32 ux ux #s(literal 0 binary32)) (*.f32 ux (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32)))) #s(literal -1 binary32)) (*.f32 (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32))))
(/.f32 (fma.f32 (fma.f32 ux ux #s(literal 0 binary32)) (*.f32 ux (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32)))) #s(literal -1 binary32)) (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 1 binary32)))))
(/.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32)) (+.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux))
(/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (fma.f32 (fma.f32 ux ux #s(literal 0 binary32)) (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32)) (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal -1 binary32))) (*.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (*.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))))
(/.f32 (-.f32 (*.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(/.f32 (*.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (*.f32 (fma.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 (fma.f32 ux ux #s(literal 0 binary32)) (*.f32 ux (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (fma.f32 ux ux #s(literal 0 binary32)) (*.f32 ux (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) #s(literal -1 binary32)))
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(fma.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32))) (*.f32 maxCos ux))
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(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(-.f32 #s(literal 0 binary32) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32)))
(-.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux))
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(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) ux)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))))
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(/.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux ux) (*.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux)) (*.f32 (*.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux)) (*.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 maxCos ux ux) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 maxCos ux ux) (*.f32 (*.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux)) (*.f32 (fma.f32 maxCos ux ux) (*.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux)))) (fma.f32 (fma.f32 maxCos ux ux) (*.f32 (fma.f32 maxCos ux ux) (fma.f32 maxCos ux ux)) #s(literal 1 binary32)))))
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(fma.f32 (/.f32 ux maxCos) maxCos (/.f32 ux maxCos))
(fma.f32 (/.f32 ux maxCos) (neg.f32 maxCos) (/.f32 ux maxCos))
(fma.f32 (/.f32 ux maxCos) #s(literal 1 binary32) ux)
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(fma.f32 #s(literal -1 binary32) (/.f32 ux maxCos) ux)
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(fma.f32 (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) maxCos) maxCos) (+.f32 ux (/.f32 ux maxCos))) (neg.f32 (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (+.f32 ux (/.f32 ux maxCos)))))
(fma.f32 (/.f32 #s(literal -1 binary32) maxCos) ux ux)
(fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (*.f32 maxCos ux) (/.f32 ux maxCos))
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(*.f32 (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 (+.f32 ux (/.f32 ux maxCos)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32))))))
(*.f32 (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32))) (/.f32 (+.f32 ux (/.f32 ux maxCos)) (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32)))))
(*.f32 (fma.f32 ux (/.f32 ux (fma.f32 maxCos maxCos #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 ux maxCos))))
(*.f32 (fma.f32 ux (/.f32 ux (fma.f32 maxCos maxCos #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 ux maxCos))) #s(literal 1 binary32)))
(*.f32 (+.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
(*.f32 (+.f32 ux (/.f32 ux maxCos)) (*.f32 (+.f32 ux (/.f32 ux maxCos)) (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 ux maxCos)))))
(*.f32 (+.f32 ux (/.f32 ux maxCos)) (/.f32 (+.f32 ux (/.f32 ux maxCos)) (+.f32 ux (/.f32 ux maxCos))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32)))) (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 ux maxCos))) (fma.f32 ux (/.f32 ux (fma.f32 maxCos maxCos #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 0 binary32))))
(*.f32 (/.f32 (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32)))))) (/.f32 (+.f32 ux (/.f32 ux maxCos)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32))))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (+.f32 (/.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (/.f32 (fma.f32 ux (/.f32 ux (fma.f32 maxCos maxCos #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32)))))) (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32))))
(*.f32 (/.f32 (fma.f32 ux (/.f32 ux (fma.f32 maxCos maxCos #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux (/.f32 ux (fma.f32 maxCos maxCos #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 0 binary32)))) (+.f32 ux (/.f32 ux maxCos)))
(*.f32 (/.f32 (fma.f32 ux (/.f32 ux (fma.f32 maxCos maxCos #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 0 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux (/.f32 ux maxCos))))
(*.f32 (/.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32))))) (fma.f32 (/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32)))) (/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32)))) (*.f32 (*.f32 ux (+.f32 ux (/.f32 ux maxCos))) (*.f32 (fma.f32 ux ux #s(literal 0 binary32)) (fma.f32 ux (/.f32 ux (fma.f32 maxCos maxCos #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 0 binary32))))))) (fma.f32 (*.f32 ux (+.f32 ux (/.f32 ux maxCos))) (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 (/.f32 ux maxCos) (/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32)))))))
(*.f32 (/.f32 (fma.f32 ux (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32))))) (*.f32 (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32))))) (fma.f32 (/.f32 ux maxCos) (+.f32 ux (/.f32 ux maxCos)) (fma.f32 ux ux #s(literal 0 binary32))))
ux
(neg.f32 ux)
(+.f32 ux #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) ux)
(pow.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(fma.f32 maxCos (/.f32 ux maxCos) #s(literal 0 binary32))
(fma.f32 (neg.f32 maxCos) (/.f32 ux maxCos) #s(literal 0 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos ux) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) ux)) #s(literal 0 binary32))
(fma.f32 (/.f32 ux maxCos) maxCos #s(literal 0 binary32))
(fma.f32 (/.f32 ux maxCos) (neg.f32 maxCos) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) ux #s(literal 0 binary32))
(fma.f32 (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) ux) #s(literal 0 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (*.f32 maxCos ux) #s(literal 0 binary32))
(fma.f32 (*.f32 maxCos ux) (/.f32 #s(literal 1 binary32) maxCos) #s(literal 0 binary32))
(fma.f32 (*.f32 maxCos ux) (/.f32 #s(literal -1 binary32) maxCos) #s(literal 0 binary32))
(fma.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 maxCos ux)) #s(literal 0 binary32))
(fma.f32 (*.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) maxCos)) ux #s(literal 0 binary32))
(fma.f32 (*.f32 (*.f32 maxCos ux) (pow.f32 maxCos #s(literal -1/2 binary32))) (pow.f32 maxCos #s(literal -1/2 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (*.f32 maxCos ux) (neg.f32 (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32))))) (fma.f32 maxCos maxCos #s(literal 0 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (*.f32 maxCos ux) (-.f32 #s(literal 0 binary32) (fma.f32 maxCos maxCos #s(literal 0 binary32)))) maxCos #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) ux)
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 ux ux #s(literal 0 binary32))) ux)
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 maxCos ux)) ux)
(/.f32 maxCos (/.f32 maxCos ux))
(/.f32 (neg.f32 maxCos) (/.f32 maxCos ux))
(/.f32 ux #s(literal 1 binary32))
(/.f32 ux #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal 0 binary32)) (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 ux (fma.f32 ux ux #s(literal 0 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 maxCos ux) (/.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (/.f32 ux maxCos) (/.f32 #s(literal 1 binary32) maxCos))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(/.f32 (fma.f32 ux ux #s(literal 0 binary32)) ux)
(/.f32 (*.f32 maxCos ux) maxCos)
(/.f32 (*.f32 maxCos ux) (neg.f32 maxCos))
(/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux ux #s(literal 0 binary32)))
(/.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (+.f32 #s(literal 0 binary32) (-.f32 (fma.f32 ux ux #s(literal 0 binary32)) #s(literal 0 binary32))))
(*.f32 maxCos (/.f32 ux maxCos))
(*.f32 (neg.f32 maxCos) (/.f32 ux maxCos))
(*.f32 ux #s(literal 1 binary32))
(*.f32 ux #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) ux)
(*.f32 (/.f32 #s(literal 1 binary32) maxCos) (*.f32 maxCos ux))
(*.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 ux maxCos) maxCos)
(*.f32 (/.f32 ux maxCos) (neg.f32 maxCos))
(*.f32 #s(literal -1 binary32) ux)
(*.f32 (fma.f32 ux ux #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 #s(literal -1 binary32) maxCos) (*.f32 maxCos ux))
(*.f32 (*.f32 maxCos ux) (/.f32 #s(literal 1 binary32) maxCos))
(*.f32 (*.f32 maxCos ux) (/.f32 #s(literal -1 binary32) maxCos))
(*.f32 (*.f32 ux (fma.f32 ux ux #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))))
(*.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 maxCos ux)))
(*.f32 (*.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) maxCos)) ux)
(*.f32 (*.f32 (*.f32 maxCos ux) (pow.f32 maxCos #s(literal -1/2 binary32))) (pow.f32 maxCos #s(literal -1/2 binary32)))
(*.f32 (/.f32 (*.f32 maxCos ux) (neg.f32 (*.f32 maxCos (fma.f32 maxCos maxCos #s(literal 0 binary32))))) (fma.f32 maxCos maxCos #s(literal 0 binary32)))
(*.f32 (/.f32 (*.f32 maxCos ux) (-.f32 #s(literal 0 binary32) (fma.f32 maxCos maxCos #s(literal 0 binary32)))) maxCos)
(neg.f32 (/.f32 #s(literal -1 binary32) maxCos))
(exp.f32 (*.f32 #s(literal -1 binary32) (log.f32 maxCos)))
(pow.f32 maxCos #s(literal -1 binary32))
(pow.f32 (fma.f32 maxCos maxCos #s(literal 0 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 maxCos)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) maxCos))
(/.f32 #s(literal 1 binary32) maxCos)
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 maxCos))
(/.f32 (/.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos))
(*.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(*.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 (fma.f32 maxCos maxCos #s(literal 0 binary32)))) (fma.f32 maxCos maxCos #s(literal 0 binary32)))
(*.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (pow.f32 maxCos #s(literal -1/2 binary32)))
(*.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (pow.f32 maxCos #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal -1/2 binary32))) (pow.f32 maxCos #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 maxCos maxCos #s(literal 0 binary32)))) maxCos)

simplify312.0ms (4.1%)

Memory
19.5MiB live, 451.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 978×accelerator-lowering-fma.f32
6 978×accelerator-lowering-fma.f64
2 196×*-lowering-*.f32
2 196×*-lowering-*.f64
1 620×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045577
1128555
2364505
3862505
42891505
55692505
67487505
08097487
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 maxCos)
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(* -1 (/ ux maxCos))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
1
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* ux (- 1 (/ 1 maxCos)))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(* -1 (/ ux maxCos))
(/ (+ (* -1 ux) (* maxCos ux)) maxCos)
(/ (+ (* -1 ux) (* maxCos ux)) maxCos)
(/ (+ (* -1 ux) (* maxCos ux)) maxCos)
ux
(+ ux (* -1 (/ ux maxCos)))
(+ ux (* -1 (/ ux maxCos)))
(+ ux (* -1 (/ ux maxCos)))
ux
(+ ux (* -1 (/ ux maxCos)))
(+ ux (* -1 (/ ux maxCos)))
(+ ux (* -1 (/ ux maxCos)))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
(/ 1 maxCos)
Outputs
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 0 binary32))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 0 binary32))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* ux (- 1 (/ 1 maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (* ux (- (/ 1 maxCos) 1)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 (/ ux maxCos))
(-.f32 #s(literal 0 binary32) (/.f32 ux maxCos))
(/ (+ (* -1 ux) (* maxCos ux)) maxCos)
(-.f32 ux (/.f32 ux maxCos))
(/ (+ (* -1 ux) (* maxCos ux)) maxCos)
(-.f32 ux (/.f32 ux maxCos))
(/ (+ (* -1 ux) (* maxCos ux)) maxCos)
(-.f32 ux (/.f32 ux maxCos))
ux
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
ux
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(+ ux (* -1 (/ ux maxCos)))
(-.f32 ux (/.f32 ux maxCos))
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
(/ 1 maxCos)
(/.f32 #s(literal 1 binary32) maxCos)

eval95.0ms (1.2%)

Memory
-26.7MiB live, 103.2MiB allocated
Compiler

Compiled 11 294 to 1 262 computations (88.8% saved)

prune78.0ms (1%)

Memory
13.9MiB live, 208.7MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6582660
Fresh000
Picked112
Done145
Total6607667
Accuracy
100.0%
Counts
667 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (*.f32 maxCos ux) #s(literal 1 binary32))
✓99.9%
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
✓99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓97.7%
(fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))
97.8%
(fma.f32 maxCos (/.f32 #s(literal -1 binary32) (/.f32 maxCos ux)) #s(literal 1 binary32))
✓97.8%
(-.f32 #s(literal 1 binary32) ux)
✓70.9%
#s(literal 1 binary32)
Compiler

Compiled 210 to 99 computations (52.9% saved)

regimes20.0ms (0.3%)

Memory
10.2MiB live, 46.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))
(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (*.f32 maxCos ux) #s(literal 1 binary32))
(fma.f32 maxCos (fma.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 1 binary32))
(fma.f32 maxCos (/.f32 #s(literal -1 binary32) (/.f32 maxCos ux)) #s(literal 1 binary32))
(*.f32 maxCos (+.f32 ux (/.f32 (fma.f32 ux #s(literal -3 binary32) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))) maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) (fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32)))
Outputs
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
Calls

4 calls:

6.0ms
uy
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
ux
4.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
-18.7MiB live, 23.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
Outputs
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
Calls

3 calls:

4.0ms
ux
2.0ms
uy
2.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
Outputs
(-.f32 #s(literal 1 binary32) ux)
Calls

3 calls:

2.0ms
maxCos
2.0ms
uy
2.0ms
ux
Results
AccuracySegmentsBranch
97.8%1ux
97.8%1uy
97.8%1maxCos
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
uy
1.0ms
maxCos
1.0ms
ux
Results
AccuracySegmentsBranch
70.9%1ux
70.9%1uy
70.9%1maxCos
Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.1%)

Memory
-19.2MiB live, 20.0MiB allocated
Algorithm
1×egg-herbie
Rules
6×+-commutative_binary32
4×sub-neg_binary32
2×*-commutative_binary32
2×neg-sub0_binary32
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11416
21716
31916
42016
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

soundness810.0ms (10.6%)

Memory
-15.5MiB live, 308.8MiB allocated
Rules
5 316×accelerator-lowering-fma.f32
5 316×accelerator-lowering-fma.f64
4 642×/-lowering-/.f32
4 642×/-lowering-/.f64
4 628×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
02599
120381
2205881
0868477
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 44 to 30 computations (31.8% saved)

preprocess21.0ms (0.3%)

Memory
31.3MiB live, 70.0MiB allocated
Remove

(abs uy)

Compiler

Compiled 76 to 46 computations (39.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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