UniformSampleCone, z

Time bar (total: 8.1s)

analyze85.0ms (1%)

Memory
7.4MiB live, 118.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
25%0%0.1%99.9%0%0%0%3
25%0%0.1%99.9%0%0%0%4
37.5%0%0.1%99.9%0%0%0%5
56.2%0.1%0%99.9%0%0%0%6
56.2%0.1%0%99.9%0%0%0%7
65.6%0.1%0%99.9%0%0%0%8
76.6%0.1%0%99.9%0%0%0%9
76.6%0.1%0%99.9%0%0%0%10
82%0.1%0%99.9%0%0%0%11
87.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (12.5%)

Memory
66.4MiB live, 1 356.0MiB allocated
Samples
648.0ms8 186×0valid
7.0ms70×1valid
Precisions
Click to see histograms. Total time spent on operations: 451.0ms
const: 149.0ms (33.1% of total)
ival-<=: 120.0ms (26.6% of total)
ival-mult: 53.0ms (11.8% of total)
ival-sub: 47.0ms (10.4% of total)
ival-add: 41.0ms (9.1% of total)
ival-and: 30.0ms (6.7% of total)
exact: 7.0ms (1.6% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess64.0ms (0.8%)

Memory
11.5MiB live, 48.4MiB 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 maxCos (-.f32 #s(literal 1 binary32) ux))
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)

explain63.0ms (0.8%)

Memory
-15.2MiB live, 100.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
22.0ms506×0valid
0.0ms6×1valid
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 (34.2% of total)
ival-add: 2.0ms (22.8% of total)
ival-sub: 2.0ms (22.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

simplify21.0ms (0.3%)

Memory
-8.7MiB live, 28.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 ux maxCos)
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Rules
384×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 maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(* ux maxCos)
(*.f32 ux maxCos)
maxCos

localize17.0ms (0.2%)

Memory
27.2MiB live, 27.2MiB 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
10.0ms253×0valid
0.0ms3×1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (23% of total)
ival-mult: 1.0ms (23% of total)
ival-sub: 1.0ms (23% 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)

series3.0ms (0%)

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

rewrite282.0ms (3.5%)

Memory
19.5MiB live, 400.1MiB 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 maxCos (+.f32 #s(literal 1 binary32) ux))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 maxCos) ux))
(+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))
(+.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux maxCos ux)))
(+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux (neg.f32 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 ux (neg.f32 maxCos))))
(+.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(+.f32 (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(+.f32 (*.f32 ux (neg.f32 maxCos)) (+.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(+.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux) (*.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (*.f32 ux (neg.f32 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 ux (neg.f32 maxCos))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32))
(fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (neg.f32 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 ux (neg.f32 maxCos)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 maxCos ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 ux (neg.f32 maxCos)))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #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) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32)) (*.f32 ux (neg.f32 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 ux (neg.f32 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 ux (neg.f32 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 ux (neg.f32 maxCos)))
(fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 ux (neg.f32 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 ux (neg.f32 maxCos)))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux (neg.f32 maxCos)))
(fma.f32 (*.f32 (fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos ux) (*.f32 ux ux)) (fma.f32 ux (neg.f32 maxCos) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos ux) (*.f32 ux ux))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux (neg.f32 maxCos)))
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(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (fma.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (*.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux ux #s(literal 1 binary32)))
(/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (exp.f32 (log1p.f32 (*.f32 ux (neg.f32 ux)))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (exp.f32 (log1p.f32 (*.f32 ux (*.f32 ux ux)))) (exp.f32 (log1p.f32 (fma.f32 ux ux ux))))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))))) (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)))) (exp.f32 (log.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 ux) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (+.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (+.f32 (neg.f32 ux) #s(literal -1 binary32)))
(*.f32 (exp.f32 (log1p.f32 (*.f32 ux (neg.f32 ux)))) (exp.f32 (neg.f32 (log1p.f32 ux))))
(*.f32 (exp.f32 (log1p.f32 (*.f32 ux (*.f32 ux ux)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))))
(exp.f32 (log.f32 (*.f32 ux maxCos)))
(exp.f32 (*.f32 (log.f32 (*.f32 ux maxCos)) #s(literal 1 binary32)))
(pow.f32 (*.f32 ux maxCos) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 ux maxCos))
(*.f32 ux maxCos)
(*.f32 ux (*.f32 #s(literal 1 binary32) maxCos))
(*.f32 ux (exp.f32 (log.f32 maxCos)))
(*.f32 maxCos ux)
(*.f32 (*.f32 ux maxCos) #s(literal 1 binary32))
(*.f32 (*.f32 maxCos #s(literal 1 binary32)) ux)
(*.f32 (exp.f32 (log.f32 maxCos)) ux)

simplify496.0ms (6.1%)

Memory
-27.8MiB live, 289.9MiB 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)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)

eval37.0ms (0.4%)

Memory
23.3MiB live, 69.5MiB allocated
Compiler

Compiled 8 059 to 762 computations (90.5% saved)

prune64.0ms (0.8%)

Memory
-3.4MiB live, 108.3MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3656371
Fresh000
Picked011
Done000
Total3657372
Accuracy
100.0%
Counts
372 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶98.6%
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
▶99.0%
(-.f32 #s(literal 1 binary32) ux)
99.4%
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (*.f32 ux maxCos))
▶98.2%
(+.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))
▶72.4%
#s(literal 1 binary32)
Compiler

Compiled 238 to 119 computations (50% saved)

simplify572.0ms (7%)

Memory
4.1MiB live, 717.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓cost-diff64
(+.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-diff96
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓cost-diff384
(/.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓cost-diff448
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(+.f32 #s(literal -1 binary32) maxCos)
✓cost-diff0
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Rules
24 684×accelerator-lowering-fma.f32
24 684×accelerator-lowering-fma.f64
2 870×+-lowering-+.f64
2 870×+-lowering-+.f32
2 650×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020140
162140
2163120
3550120
41761120
56586120
08106113
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* ux (+ -1 maxCos)) 1)
ux
(+ -1 maxCos)
-1
maxCos
1
1
(- 1 ux)
1
ux
(- (+ (* ux maxCos) (/ 1 (+ 1 ux))) (/ (* ux ux) (+ 1 ux)))
(+ (* ux maxCos) (/ 1 (+ 1 ux)))
ux
maxCos
(/ 1 (+ 1 ux))
1
(+ 1 ux)
(/ (* ux ux) (+ 1 ux))
(* ux 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
Outputs
(+ (* ux (+ -1 maxCos)) 1)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
(+ -1 maxCos)
(+.f32 #s(literal -1 binary32) maxCos)
-1
#s(literal -1 binary32)
maxCos
1
#s(literal 1 binary32)
1
#s(literal 1 binary32)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(- (+ (* ux maxCos) (/ 1 (+ 1 ux))) (/ (* ux ux) (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(+ (* ux maxCos) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
ux
maxCos
(/ 1 (+ 1 ux))
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 ux #s(literal 1 binary32))
(/ (* ux ux) (+ 1 ux))
(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
(* ux ux)
(*.f32 ux ux)
(+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux))) (* ux maxCos))
(fma.f32 ux maxCos (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
(- (+ 1 ux) (* (+ 1 ux) (* ux ux)))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #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 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* ux maxCos)
(*.f32 ux maxCos)
maxCos

localize62.0ms (0.8%)

Memory
16.5MiB live, 134.2MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓accuracy98.9%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓accuracy98.6%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
✓accuracy98.5%
(/.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)))
✓accuracy99.9%
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓accuracy99.6%
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
✓accuracy98.8%
(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
✓accuracy98.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy100.0%
(+.f32 #s(literal -1 binary32) maxCos)
✓accuracy99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Samples
32.0ms251×0valid
1.0ms3×2valid
0.0ms2×1valid
Compiler

Compiled 145 to 23 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (32.9% of total)
ival-add: 6.0ms (28.2% of total)
ival-div: 5.0ms (23.5% of total)
ival-sub: 3.0ms (14.1% 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)

series15.0ms (0.2%)

Memory
-9.7MiB live, 29.1MiB allocated
Counts
13 → 204
Calls
Call 1
Inputs
#<alt (+ (* ux (+ -1 maxCos)) 1)>
#<alt (+ -1 maxCos)>
#<alt (- 1 ux)>
#<alt (- (+ (* ux maxCos) (/ 1 (+ 1 ux))) (/ (* ux ux) (+ 1 ux)))>
#<alt (+ (* ux maxCos) (/ 1 (+ 1 ux)))>
#<alt (/ 1 (+ 1 ux))>
#<alt (+ 1 ux)>
#<alt (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux)))>
#<alt (- (+ 1 ux) (* (+ 1 ux) (* ux ux)))>
#<alt (+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux))) (* ux maxCos))>
#<alt (* (+ 1 ux) (* ux ux))>
#<alt (/ (* ux ux) (+ 1 ux))>
#<alt (* (+ 1 ux) (+ 1 ux))>
Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt -1>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt maxCos>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt maxCos>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- (+ maxCos ux) 1)))>
#<alt (+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* -1 ux)))) 1)))>
#<alt (* maxCos ux)>
#<alt (* ux (+ maxCos (/ 1 (pow ux 2))))>
#<alt (* ux (- (+ maxCos (/ 1 (pow ux 2))) (/ 1 (pow ux 3))))>
#<alt (* ux (- (+ maxCos (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4)))) (/ 1 (pow ux 3))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* ux (- (* -1 maxCos) (/ 1 (pow ux 2)))))>
#<alt (* -1 (* ux (- (+ (* -1 maxCos) (/ 1 (pow ux 3))) (/ 1 (pow ux 2)))))>
#<alt (* -1 (* ux (- (+ (* -1 maxCos) (* -1 (/ (- (/ 1 ux) 1) (pow ux 3)))) (/ 1 (pow ux 2)))))>
#<alt (/ 1 (+ 1 ux))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 (* -1 ux))))>
#<alt (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))>
#<alt (* -1 (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 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 (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 (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* -1 ux)))>
#<alt (* (pow ux 2) (+ 1 (* ux (- ux 1))))>
#<alt (* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))>
#<alt ux>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))>
#<alt (* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))>
#<alt ux>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))>
#<alt (* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))>
#<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)))))>
Calls

51 calls:

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

rewrite435.0ms (5.3%)

Memory
-10.7MiB live, 590.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 076×*-lowering-*.f32
5 076×*-lowering-*.f64
4 022×/-lowering-/.f32
4 022×/-lowering-/.f64
2 346×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02077
116677
2184977
0815369
Stop Event
1×iter limit
1×node limit
Counts
13 → 1 210
Calls
Call 1
Inputs
(+ (* ux (+ -1 maxCos)) 1)
(+ -1 maxCos)
(- 1 ux)
(- (+ (* ux maxCos) (/ 1 (+ 1 ux))) (/ (* ux ux) (+ 1 ux)))
(+ (* ux maxCos) (/ 1 (+ 1 ux)))
(/ 1 (+ 1 ux))
(+ 1 ux)
(/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux)))
(- (+ 1 ux) (* (+ 1 ux) (* ux ux)))
(+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (* (+ 1 ux) (+ 1 ux))) (* ux maxCos))
(* (+ 1 ux) (* ux ux))
(/ (* ux ux) (+ 1 ux))
(* (+ 1 ux) (+ 1 ux))
Outputs
(+.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(pow.f32 (/.f32 (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))))) (*.f32 (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))) (-.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32)) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux maxCos (neg.f32 ux)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (neg.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal 1 binary32))
(fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.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 ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux ux) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux (neg.f32 ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 maxCos (*.f32 ux maxCos)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))) #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 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (-.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux 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 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (-.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))) (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))) (/.f32 (/.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #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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(pow.f32 (/.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))) (-.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32)) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux maxCos (neg.f32 ux)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (neg.f32 (/.f32 ux (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal -1 binary32) maxCos) ux #s(literal 1 binary32))
(fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.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 ux)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux ux) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux (neg.f32 ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 maxCos (*.f32 ux maxCos)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))) #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 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 ux) (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (-.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (neg.f32 (+.f32 ux #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux 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 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (-.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos)))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))) (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))) (/.f32 (/.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux (/.f32 ux (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32))))
(-.f32 (fma.f32 ux maxCos (/.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
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(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
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(fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
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(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
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(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (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 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)) (-.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux ux))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (neg.f32 (-.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux ux))))
(/.f32 (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux 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 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(/.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 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (+.f32 ux #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 ux))) #s(literal 2 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.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)))

simplify338.0ms (4.2%)

Memory
-9.0MiB live, 630.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 236×accelerator-lowering-fma.f32
12 236×accelerator-lowering-fma.f64
3 368×*-lowering-*.f32
3 368×*-lowering-*.f64
2 168×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01961594
16081539
218311454
357041438
082791329
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- (+ maxCos ux) 1)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* -1 ux)))) 1)))
(* maxCos ux)
(* ux (+ maxCos (/ 1 (pow ux 2))))
(* ux (- (+ maxCos (/ 1 (pow ux 2))) (/ 1 (pow ux 3))))
(* ux (- (+ maxCos (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4)))) (/ 1 (pow ux 3))))
(* maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 (pow ux 2)))))
(* -1 (* ux (- (+ (* -1 maxCos) (/ 1 (pow ux 3))) (/ 1 (pow ux 2)))))
(* -1 (* ux (- (+ (* -1 maxCos) (* -1 (/ (- (/ 1 ux) 1) (pow ux 3)))) (/ 1 (pow ux 2)))))
(/ 1 (+ 1 ux))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(* maxCos ux)
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(/ 1 ux)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/ 1 ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(* -1 (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)))))
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)))))
(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)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* -1 ux)))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
ux
(* ux (- 1 (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
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)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
-1
#s(literal -1 binary32)
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (+ maxCos ux) 1)))
(fma.f32 ux (+.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* -1 ux)))) 1)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) maxCos) (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* ux (+ maxCos (/ 1 (pow ux 2))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 (pow ux 2))) (/ 1 (pow ux 3))))
(fma.f32 ux maxCos (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux))
(* ux (- (+ maxCos (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4)))) (/ 1 (pow ux 3))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* ux (- (* -1 maxCos) (/ 1 (pow ux 2)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ (* -1 maxCos) (/ 1 (pow ux 3))) (/ 1 (pow ux 2)))))
(fma.f32 ux maxCos (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux))
(* -1 (* ux (- (+ (* -1 maxCos) (* -1 (/ (- (/ 1 ux) 1) (pow ux 3)))) (/ 1 (pow ux 2)))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux ux))))
(/ 1 (+ 1 ux))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos ux) (/ 1 (+ 1 ux)))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(+.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux ux))))
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (+.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(+.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux ux))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (+.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (fma.f32 ux ux ux)))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (fma.f32 ux ux ux)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux)))
(+.f32 (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) 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 (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 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 ux (*.f32 (+.f32 #s(literal 1 binary32) 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 (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 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 ux (*.f32 (+.f32 #s(literal 1 binary32) 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 (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 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 ux (*.f32 (+.f32 #s(literal 1 binary32) 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)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 ux (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) 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))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* -1 ux)))
(*.f32 ux (fma.f32 ux (neg.f32 ux) ux))
(* (pow ux 2) (+ 1 (* ux (- ux 1))))
(*.f32 ux (fma.f32 ux (fma.f32 ux ux (neg.f32 ux)) ux))
(* (pow ux 2) (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1))))
(*.f32 (*.f32 ux ux) (fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32)))
ux
(* ux (- 1 (/ 1 ux)))
(+.f32 ux #s(literal -1 binary32))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
(+.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(* ux (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))))
(+.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)))
ux
(* -1 (* ux (- (/ 1 ux) 1)))
(+.f32 ux #s(literal -1 binary32))
(* -1 (* ux (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)))
(+.f32 ux (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(* -1 (* ux (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)))
(+.f32 ux (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) 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 #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(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 #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))

eval225.0ms (2.8%)

Memory
62.3MiB live, 319.7MiB allocated
Compiler

Compiled 60 939 to 3 470 computations (94.3% saved)

prune284.0ms (3.5%)

Memory
-38.8MiB live, 409.0MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1 73541 739
Fresh101
Picked235
Done101
Total1 73971 746
Accuracy
100.0%
Counts
1 746 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
▶97.5%
(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
✓99.0%
(-.f32 #s(literal 1 binary32) ux)
▶98.4%
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
✓72.4%
#s(literal 1 binary32)
Compiler

Compiled 89 to 56 computations (37.1% saved)

simplify506.0ms (6.2%)

Memory
21.5MiB live, 850.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(-.f32 #s(literal -1 binary32) ux)
✓cost-diff0
(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
✓cost-diff448
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(fma.f32 ux ux ux)
✓cost-diff64
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓cost-diff96
(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
✓cost-diff448
(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
✓cost-diff64
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓cost-diff64
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
✓cost-diff96
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓cost-diff448
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
Rules
24 028×accelerator-lowering-fma.f32
24 028×accelerator-lowering-fma.f64
3 282×*-lowering-*.f32
3 282×*-lowering-*.f64
1 984×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029183
186183
2198171
3572139
41837139
54821139
08266127
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (+ (* ux (+ ux 2)) 1)) (* ux maxCos))
(/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (+ (* ux (+ ux 2)) 1))
(- (+ 1 ux) (* (+ 1 ux) (* ux ux)))
(+ 1 ux)
1
ux
(* (+ 1 ux) (* ux ux))
(* ux ux)
(+ (* ux (+ ux 2)) 1)
(+ ux 2)
2
(* ux maxCos)
maxCos
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (* (+ ux 1) (+ ux 1)))
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
(+ (* ux ux) ux)
ux
(neg ux)
(+ ux 1)
1
(* (+ ux 1) (+ ux 1))
(+ (* ux maxCos) (- 1 ux))
ux
maxCos
(- 1 ux)
1
(+ (* ux (/ ux (- -1 ux))) (/ 1 (+ 1 ux)))
ux
(/ ux (- -1 ux))
(- -1 ux)
-1
(/ 1 (+ 1 ux))
1
(+ 1 ux)
Outputs
(+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (+ (* ux (+ ux 2)) 1)) (* ux maxCos))
(fma.f32 ux maxCos (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (+ (* ux (+ ux 2)) 1))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(- (+ 1 ux) (* (+ 1 ux) (* ux ux)))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(* (+ 1 ux) (* ux ux))
(*.f32 ux (fma.f32 ux ux ux))
(* ux ux)
(*.f32 ux ux)
(+ (* ux (+ ux 2)) 1)
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+ ux 2)
(+.f32 ux #s(literal 2 binary32))
2
#s(literal 2 binary32)
(* ux maxCos)
(*.f32 ux maxCos)
maxCos
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (* (+ ux 1) (+ ux 1)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(+ (* ux ux) ux)
(fma.f32 ux ux ux)
ux
(neg ux)
(neg.f32 ux)
(+ ux 1)
(+.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(* (+ ux 1) (+ ux 1))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+ (* ux maxCos) (- 1 ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ (* ux (/ ux (- -1 ux))) (/ 1 (+ 1 ux)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
ux
(/ ux (- -1 ux))
(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
(- -1 ux)
(-.f32 #s(literal -1 binary32) ux)
-1
#s(literal -1 binary32)
(/ 1 (+ 1 ux))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)

localize95.0ms (1.2%)

Memory
-33.0MiB live, 209.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) ux)
✓accuracy99.6%
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓accuracy99.0%
(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
✓accuracy98.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy100.0%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(neg.f32 ux)
✓accuracy99.6%
(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
✓accuracy98.7%
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓accuracy98.5%
(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
✓accuracy99.9%
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
✓accuracy99.6%
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓accuracy98.9%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓accuracy98.5%
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
Samples
44.0ms251×0valid
4.0ms5×5exit
Compiler

Compiled 171 to 32 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-add: 13.0ms (36.6% of total)
ival-mult: 10.0ms (28.1% of total)
ival-div: 7.0ms (19.7% of total)
ival-sub: 3.0ms (8.4% of total)
adjust: 1.0ms (2.8% of total)
ival-neg: 1.0ms (2.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-0.8MiB live, 36.8MiB allocated
Counts
17 → 228
Calls
Call 1
Inputs
#<alt (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (+ (* ux (+ ux 2)) 1))>
#<alt (- (+ 1 ux) (* (+ 1 ux) (* ux ux)))>
#<alt (+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (+ (* ux (+ ux 2)) 1)) (* ux maxCos))>
#<alt (* (+ 1 ux) (* ux ux))>
#<alt (/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (* (+ ux 1) (+ ux 1)))>
#<alt (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))>
#<alt (* (+ ux 1) (+ ux 1))>
#<alt (+ (* ux ux) ux)>
#<alt (+ (* ux maxCos) (- 1 ux))>
#<alt (- 1 ux)>
#<alt (+ (* ux (/ ux (- -1 ux))) (/ 1 (+ 1 ux)))>
#<alt (/ ux (- -1 ux))>
#<alt (- -1 ux)>
#<alt (/ 1 (+ 1 ux))>
#<alt (+ (* ux (+ ux 2)) 1)>
#<alt (neg ux)>
#<alt (+ 1 ux)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<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 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))>
#<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 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 (* -1 ux))))>
#<alt (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))>
#<alt (* -1 (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 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 ux>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 ux)>
#<alt (* ux (- ux 1))>
#<alt (* ux (- (* ux (+ 1 (* -1 ux))) 1))>
#<alt (* ux (- (* ux (+ 1 (* ux (- ux 1)))) 1))>
#<alt -1>
#<alt (- (/ 1 ux) 1)>
#<alt (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2))))>
#<alt (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2))))>
#<alt -1>
#<alt (- (/ 1 ux) 1)>
#<alt (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)>
#<alt -1>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (- (* -1 ux) 1)>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt (* -1 (* ux (+ 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt 1>
#<alt (+ 1 (* 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 (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
Calls

57 calls:

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

rewrite502.0ms (6.2%)

Memory
-2.4MiB live, 750.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 696×/-lowering-/.f32
5 696×/-lowering-/.f64
5 056×accelerator-lowering-fma.f32
5 056×accelerator-lowering-fma.f64
3 880×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029146
1244146
22448146
08501131
Stop Event
1×iter limit
1×node limit
Counts
17 → 1 157
Calls
Call 1
Inputs
(/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (+ (* ux (+ ux 2)) 1))
(- (+ 1 ux) (* (+ 1 ux) (* ux ux)))
(+ (/ (- (+ 1 ux) (* (+ 1 ux) (* ux ux))) (+ (* ux (+ ux 2)) 1)) (* ux maxCos))
(* (+ 1 ux) (* ux ux))
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (* (+ ux 1) (+ ux 1)))
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
(* (+ ux 1) (+ ux 1))
(+ (* ux ux) ux)
(+ (* ux maxCos) (- 1 ux))
(- 1 ux)
(+ (* ux (/ ux (- -1 ux))) (/ 1 (+ 1 ux)))
(/ ux (- -1 ux))
(- -1 ux)
(/ 1 (+ 1 ux))
(+ (* ux (+ ux 2)) 1)
(neg ux)
(+ 1 ux)
Outputs
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux)) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux)))) #s(literal -1 binary32)))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(pow.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) #s(literal -1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux)) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 ux (fma.f32 ux ux ux)))) (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 ux (fma.f32 ux ux ux))) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
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(*.f32 (pow.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (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))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux #s(literal -1 binary32)))) (-.f32 #s(literal -1 binary32) ux))

simplify295.0ms (3.6%)

Memory
21.7MiB live, 582.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 892×accelerator-lowering-fma.f32
9 892×accelerator-lowering-fma.f64
4 536×*-lowering-*.f32
4 536×*-lowering-*.f64
1 826×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01341534
14331486
213141431
357091431
084011298
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(* -1 (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)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(* maxCos ux)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(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 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(* -1 (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)))))
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)))))
ux
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 ux)
(* ux (- ux 1))
(* ux (- (* ux (+ 1 (* -1 ux))) 1))
(* ux (- (* ux (+ 1 (* ux (- ux 1)))) 1))
-1
(- (/ 1 ux) 1)
(- (/ 1 ux) (+ 1 (/ 1 (pow ux 2))))
(- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2))))
-1
(- (/ 1 ux) 1)
(- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)
(- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)
-1
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(/ 1 ux)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/ 1 ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
1
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#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 ux (neg.f32 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))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(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 ux (neg.f32 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)))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(-.f32 (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 ux (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(*.f32 maxCos (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux ux) (fma.f32 (*.f32 ux maxCos) (+.f32 ux #s(literal 2 binary32)) maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux maxCos) (+.f32 ux #s(literal 2 binary32)) maxCos)) (/.f32 ux (fma.f32 (*.f32 ux maxCos) (+.f32 ux #s(literal 2 binary32)) maxCos)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(*.f32 maxCos (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux ux) (fma.f32 (*.f32 ux maxCos) (+.f32 ux #s(literal 2 binary32)) maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux maxCos) (+.f32 ux #s(literal 2 binary32)) maxCos)) (/.f32 ux (fma.f32 (*.f32 ux maxCos) (+.f32 ux #s(literal 2 binary32)) maxCos)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(*.f32 maxCos (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux ux) (fma.f32 (*.f32 ux maxCos) (+.f32 ux #s(literal 2 binary32)) maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux maxCos) (+.f32 ux #s(literal 2 binary32)) maxCos)) (/.f32 ux (fma.f32 (*.f32 ux maxCos) (+.f32 ux #s(literal 2 binary32)) maxCos)))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(fma.f32 ux (-.f32 maxCos (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(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 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 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))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(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 ux (neg.f32 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)))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 2 ux))
(fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (+ 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 #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(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 #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
ux
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- ux 1))
(fma.f32 ux ux (neg.f32 ux))
(* ux (- (* ux (+ 1 (* -1 ux))) 1))
(*.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(* ux (- (* ux (+ 1 (* ux (- ux 1)))) 1))
(*.f32 ux (fma.f32 ux (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32)))
-1
#s(literal -1 binary32)
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(- (/ 1 ux) (+ 1 (/ 1 (pow ux 2))))
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)))
(- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2))))
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux))
-1
#s(literal -1 binary32)
(- (/ 1 ux) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux))
(- (* -1 (/ (- (/ 1 ux) 1) ux)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(-.f32 #s(literal -1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux 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 #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(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 #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
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)

eval217.0ms (2.7%)

Memory
-1.7MiB live, 333.3MiB allocated
Compiler

Compiled 51 062 to 4 152 computations (91.9% saved)

prune273.0ms (3.4%)

Memory
15.8MiB live, 462.3MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 60211 603
Fresh000
Picked224
Done033
Total1 60461 610
Accuracy
100.0%
Counts
1 610 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.7%
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
▶97.5%
(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
✓99.0%
(-.f32 #s(literal 1 binary32) ux)
✓72.4%
#s(literal 1 binary32)
Compiler

Compiled 63 to 44 computations (30.2% saved)

simplify441.0ms (5.4%)

Memory
-13.7MiB live, 515.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 ux)
✓cost-diff0
(fma.f32 ux ux ux)
✓cost-diff0
(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
✓cost-diff96
(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
Rules
12 608×accelerator-lowering-fma.f32
12 608×accelerator-lowering-fma.f64
2 248×*-lowering-*.f32
2 248×*-lowering-*.f64
2 028×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01355
13453
27553
321249
441849
581949
6156049
7316949
8494949
9619849
10637649
11663949
12679349
13689149
14767449
0805244
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
(+ (* ux ux) ux)
ux
(neg ux)
(+ ux 1)
1
(+ (* ux (+ ux 2)) 1)
(+ ux 2)
2
Outputs
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -2 binary32) ux) #s(literal -1 binary32))))
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(+ (* ux ux) ux)
(fma.f32 ux ux ux)
ux
(neg ux)
(neg.f32 ux)
(+ ux 1)
(+.f32 ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ (* ux (+ ux 2)) 1)
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+ ux 2)
(+.f32 ux #s(literal 2 binary32))
2
#s(literal 2 binary32)

localize37.0ms (0.5%)

Memory
-14.7MiB live, 63.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 ux)
✓accuracy99.9%
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
✓accuracy99.6%
(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
✓accuracy98.5%
(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
Samples
23.0ms251×0valid
1.0ms5×1valid
Compiler

Compiled 50 to 17 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 5.0ms (32.2% of total)
ival-mult: 5.0ms (32.2% of total)
ival-div: 4.0ms (25.7% of total)
ival-neg: 1.0ms (6.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))>
#<alt (/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))>
#<alt (+ (* ux ux) ux)>
#<alt (neg ux)>
#<alt (+ (* ux (+ ux 2)) 1)>
Outputs
#<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 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt ux>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (* ux (+ 1 ux))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt 1>
#<alt (+ 1 (* 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)))))>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
ux
@0
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
0.0ms
ux
@inf
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
0.0ms
ux
@0
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
0.0ms
ux
@-inf
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
0.0ms
ux
@-inf
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))

rewrite460.0ms (5.6%)

Memory
33.9MiB live, 975.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
14 052×accelerator-lowering-fma.f32
14 052×accelerator-lowering-fma.f64
4 680×*-lowering-*.f32
4 680×*-lowering-*.f64
3 484×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
19744
286641
0841737
Stop Event
1×iter limit
1×node limit
Counts
5 → 481
Calls
Call 1
Inputs
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
(+ (* ux ux) ux)
(neg ux)
(+ (* ux (+ ux 2)) 1)
Outputs
(neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))
(+.f32 ux (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)))
(+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))))
(+.f32 (neg.f32 (*.f32 ux (fma.f32 ux ux ux))) (+.f32 ux #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux))
(+.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(+.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux) #s(literal 1 binary32))
(+.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (/.f32 (*.f32 (fma.f32 ux ux ux) (*.f32 ux (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 ux (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32))))) (neg.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (fma.f32 ux (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32)))))))
(+.f32 (neg.f32 (*.f32 ux ux)) (fma.f32 ux (neg.f32 (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) ux)
(+.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) ux)
(+.f32 (neg.f32 (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 ux))) #s(literal 1 binary32))
(+.f32 (+.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux ux))) (neg.f32 (*.f32 ux (*.f32 ux ux))))
(+.f32 (+.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (*.f32 ux ux)))) (neg.f32 (*.f32 ux ux)))
(pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) #s(literal -1 binary32))
(fma.f32 ux (neg.f32 ux) (fma.f32 ux (neg.f32 (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 ux #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)))
(fma.f32 ux #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 ux (neg.f32 (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 ux (neg.f32 (fma.f32 ux ux ux)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 ux (+.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux ux ux))) #s(literal 1 binary32))
(fma.f32 ux (fma.f32 ux (+.f32 (neg.f32 ux) #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (neg.f32 ux) (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (fma.f32 ux (neg.f32 (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (neg.f32 ux) ux (fma.f32 ux (neg.f32 (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (neg.f32 (*.f32 ux (fma.f32 ux ux ux))) #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) ux (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux ux)) (fma.f32 ux (neg.f32 (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (*.f32 ux (*.f32 ux ux)) #s(literal -1 binary32) (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux))))) (neg.f32 ux)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 ux ux ux) (*.f32 ux (*.f32 ux (fma.f32 ux ux ux)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (fma.f32 ux (fma.f32 ux ux ux) (+.f32 ux #s(literal 1 binary32)))))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux (neg.f32 ux)))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) #s(literal 1 binary32)) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)) (neg.f32 (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (*.f32 ux ux) (fma.f32 ux (neg.f32 (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (*.f32 ux (fma.f32 ux ux ux)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (*.f32 ux (-.f32 (*.f32 ux (*.f32 ux ux)) ux)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (neg.f32 ux))) (neg.f32 ux)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (*.f32 ux (fma.f32 ux ux ux)) #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (fma.f32 (*.f32 ux ux) (neg.f32 ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 ux) #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 ux ux ux) (*.f32 ux (*.f32 ux (fma.f32 ux ux ux))))) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux))) (*.f32 ux (-.f32 ux (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (*.f32 ux ux)) ux (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (neg.f32 (*.f32 ux ux)) #s(literal 1 binary32) (fma.f32 ux (neg.f32 (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (neg.f32 (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (+.f32 (neg.f32 ux) #s(literal -1 binary32)) (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 ux (fma.f32 ux ux ux) ux) (-.f32 (*.f32 ux (fma.f32 ux ux ux)) ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 ux (fma.f32 ux ux ux) ux))) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 (pow.f32 ux #s(literal 3/2 binary32)) (neg.f32 (pow.f32 ux #s(literal 3/2 binary32))) (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (neg.f32 (fma.f32 ux ux ux)) ux (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (neg.f32 (*.f32 ux (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)))) (/.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux))))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (*.f32 (neg.f32 ux) (*.f32 ux (-.f32 (*.f32 ux (*.f32 ux ux)) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (neg.f32 ux))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (neg.f32 (*.f32 (*.f32 (*.f32 ux ux) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) ux)) ux)) (/.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (-.f32 ux (*.f32 ux ux))))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 ux (-.f32 (*.f32 ux (*.f32 ux ux)) ux)) (neg.f32 ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (neg.f32 ux))) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 (pow.f32 (neg.f32 ux) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 ux) #s(literal 3/2 binary32)) (fma.f32 ux (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 (pow.f32 ux #s(literal 1/2 binary32)) (pow.f32 ux #s(literal 1/2 binary32)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)))
(fma.f32 (pow.f32 ux #s(literal 1/2 binary32)) (pow.f32 ux #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))))
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(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) (*.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32)))) (fma.f32 ux (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 ux (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))) #s(literal -1 binary32)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))) #s(literal -1 binary32)))) (neg.f32 (fma.f32 (neg.f32 ux) (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (pow.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.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 ux) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 3 binary32)) (*.f32 (*.f32 ux (*.f32 ux ux)) #s(literal 8 binary32))) (fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 (*.f32 (*.f32 ux ux) #s(literal 4 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 ux #s(literal 2 binary32))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))))))
(/.f32 (-.f32 (*.f32 ux (*.f32 ux (*.f32 ux ux))) (*.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 ux) (fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) #s(literal 4 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 ux #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))))
(*.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))))))
(*.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))))))
(*.f32 #s(literal -1 binary32) (fma.f32 (neg.f32 ux) (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))
(*.f32 (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32))))
(*.f32 (neg.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux (*.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))))

simplify255.0ms (3.1%)

Memory
16.9MiB live, 494.0MiB allocated
Algorithm
1×egg-herbie
Rules
7 724×accelerator-lowering-fma.f32
7 724×accelerator-lowering-fma.f64
2 572×*-lowering-*.f32
2 572×*-lowering-*.f64
1 684×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059295
1186279
2573256
32030250
45581250
08177231
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
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)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
ux
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
1
(+ 1 (* 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)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(-.f32 ux (fma.f32 ux 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 ux (neg.f32 ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (fma.f32 ux ux ux)))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) ux)
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(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 ux (neg.f32 ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (fma.f32 ux ux ux)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #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)
ux
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(* ux (+ 1 ux))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* -1 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
#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 #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(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 #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))

eval60.0ms (0.7%)

Memory
6.3MiB live, 194.7MiB allocated
Compiler

Compiled 19 148 to 1 582 computations (91.7% saved)

prune93.0ms (1.1%)

Memory
-36.6MiB live, 222.8MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New5392541
Fresh000
Picked101
Done055
Total5407547
Accuracy
100.0%
Counts
547 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.7%
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
97.6%
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
97.6%
(/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 (neg.f32 ux) (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))
✓99.0%
(-.f32 #s(literal 1 binary32) ux)
✓72.4%
#s(literal 1 binary32)
Compiler

Compiled 294 to 112 computations (61.9% saved)

regimes47.0ms (0.6%)

Memory
-2.6MiB live, 36.6MiB 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 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 (neg.f32 ux) (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)))
(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(+.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 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (*.f32 ux maxCos))
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Calls

4 calls:

33.0ms
uy
4.0ms
ux
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB 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

4 calls:

2.0ms
uy
2.0ms
ux
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
maxCos
Results
AccuracySegmentsBranch
99.9%1ux
99.9%1uy
99.9%1maxCos
99.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory
-19.6MiB live, 19.3MiB 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

4 calls:

2.0ms
maxCos
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
2.0ms
ux
Results
AccuracySegmentsBranch
99.0%1ux
99.0%1uy
99.0%1maxCos
99.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes5.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
maxCos
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
72.4%1ux
72.4%1uy
72.4%1maxCos
72.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify8.0ms (0.1%)

Memory
-21.1MiB live, 18.1MiB 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 #s(literal -1 binary32) maxCos) #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 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

soundness713.0ms (8.8%)

Memory
13.1MiB live, 385.0MiB allocated
Rules
5 750×accelerator-lowering-fma.f32
5 750×accelerator-lowering-fma.f64
5 316×accelerator-lowering-fma.f32
5 316×accelerator-lowering-fma.f64
5 076×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
02077
116677
2184977
0815369
0613
13913
234013
3528013
0897912
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 50 to 35 computations (30% saved)

preprocess22.0ms (0.3%)

Memory
-7.4MiB live, 69.9MiB 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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