UniformSampleCone, z

Time bar (total: 6.5s)

analyze76.0ms (1.2%)

Memory
-3.8MiB live, 113.3MiB 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 (16%)

Memory
71.0MiB live, 1 395.7MiB allocated
Samples
672.0ms8 176×0valid
10.0ms80×1valid
Precisions
Click to see histograms. Total time spent on operations: 437.0ms
const: 139.0ms (31.8% of total)
ival-<=: 122.0ms (27.9% of total)
ival-mult: 48.0ms (11% of total)
ival-sub: 44.0ms (10.1% of total)
ival-add: 41.0ms (9.4% of total)
ival-and: 32.0ms (7.3% of total)
exact: 8.0ms (1.8% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess63.0ms (1%)

Memory
21.3MiB live, 58.4MiB 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)

explain65.0ms (1%)

Memory
-14.9MiB live, 102.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
23.0ms506×0valid
0.0ms6×1valid
Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 4.0ms (38% of total)
ival-mult: 3.0ms (28.5% of total)
ival-add: 2.0ms (19% 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
0.3MiB live, 0.3MiB 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)

simplify266.0ms (4.1%)

Memory
-26.9MiB live, 28.3MiB 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 (0.3%)

Memory
28.1MiB live, 28.1MiB 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-mult: 2.0ms (44.5% of total)
ival-add: 1.0ms (22.2% of total)
ival-sub: 1.0ms (22.2% 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)

series7.0ms (0.1%)

Memory
-36.6MiB live, 5.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (+ (- 1 ux) (* ux maxCos))>
#<alt (- 1 ux)>
#<alt (* ux maxCos)>
Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
Calls

15 calls:

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

rewrite283.0ms (4.4%)

Memory
59.3MiB live, 432.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 750×accelerator-lowering-fma.f32
5 750×accelerator-lowering-fma.f64
4 062×*-lowering-*.f32
4 062×*-lowering-*.f64
2 014×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
13913
234013
3528013
0897912
Stop Event
1×iter limit
1×node limit
Counts
3 → 311
Calls
Call 1
Inputs
(+ (- 1 ux) (* ux maxCos))
(- 1 ux)
(* ux maxCos)
Outputs
(neg.f32 (neg.f32 (fma.f32 ux 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)

simplify264.0ms (4.1%)

Memory
6.5MiB live, 244.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 316×accelerator-lowering-fma.f32
5 316×accelerator-lowering-fma.f64
2 180×div-sub
2 012×*-lowering-*.f32
2 012×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval38.0ms (0.6%)

Memory
-4.8MiB live, 68.9MiB allocated
Compiler

Compiled 8 059 to 762 computations (90.5% saved)

prune92.0ms (1.4%)

Memory
-26.0MiB live, 110.7MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3647371
Fresh000
Picked011
Done000
Total3648372
Accuracy
100.0%
Counts
372 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(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))
▶99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶97.7%
(-.f32 #s(literal 1 binary32) ux)
98.5%
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
98.6%
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶9.3%
(*.f32 ux maxCos)
▶72.9%
#s(literal 1 binary32)
Compiler

Compiled 196 to 119 computations (39.3% saved)

simplify494.0ms (7.6%)

Memory
12.4MiB live, 674.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(neg.f32 ux)
✓cost-diff0
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
✓cost-diff768
(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))
✓cost-diff0
(*.f32 ux maxCos)
✓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
21 244×accelerator-lowering-fma.f32
21 244×accelerator-lowering-fma.f64
2 364×*-lowering-*.f32
2 364×*-lowering-*.f64
2 160×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01654
13853
26653
315053
432953
557053
698853
7182153
8320653
9658953
0821051
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)
ux
maxCos
(+ (* (+ (* ux (neg ux)) 1) (/ 1 (+ 1 ux))) (* ux maxCos))
(+ (* ux (neg ux)) 1)
ux
(neg ux)
1
(/ 1 (+ 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)
(*.f32 ux maxCos)
ux
maxCos
(+ (* (+ (* ux (neg ux)) 1) (/ 1 (+ 1 ux))) (* ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ (* ux (neg ux)) 1)
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
ux
(neg ux)
(neg.f32 ux)
1
#s(literal 1 binary32)
(/ 1 (+ 1 ux))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))
(+ 1 ux)
(+.f32 ux #s(literal 1 binary32))
(* ux maxCos)
(*.f32 ux maxCos)
maxCos

localize46.0ms (0.7%)

Memory
17.4MiB live, 95.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f32 ux maxCos)
✓accuracy100.0%
(neg.f32 ux)
✓accuracy99.5%
(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))
✓accuracy99.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(*.f32 ux maxCos)
✓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
25.0ms252×0valid
3.0ms4×2valid
Compiler

Compiled 61 to 19 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-add: 6.0ms (33.3% of total)
ival-mult: 6.0ms (33.3% of total)
adjust: 2.0ms (11.1% of total)
ival-div: 2.0ms (11.1% of total)
ival-sub: 1.0ms (5.5% of total)
ival-neg: 1.0ms (5.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
8 → 132
Calls
Call 1
Inputs
#<alt (+ (* ux (+ -1 maxCos)) 1)>
#<alt (+ -1 maxCos)>
#<alt (- 1 ux)>
#<alt (* ux maxCos)>
#<alt (+ (* (+ (* ux (neg ux)) 1) (/ 1 (+ 1 ux))) (* ux maxCos))>
#<alt (+ (* ux (neg ux)) 1)>
#<alt (neg ux)>
#<alt (/ 1 (+ 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 (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* 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))>
Calls

33 calls:

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

rewrite520.0ms (8%)

Memory
-40.5MiB live, 688.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
13 714×accelerator-lowering-fma.f32
13 714×accelerator-lowering-fma.f64
5 286×*-lowering-*.f32
5 286×*-lowering-*.f64
3 588×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
110635
292635
0875833
Stop Event
1×iter limit
1×node limit
Counts
8 → 1 017
Calls
Call 1
Inputs
(+ (* ux (+ -1 maxCos)) 1)
(+ -1 maxCos)
(- 1 ux)
(* ux maxCos)
(+ (* (+ (* ux (neg ux)) 1) (/ 1 (+ 1 ux))) (* ux maxCos))
(+ (* ux (neg ux)) 1)
(neg ux)
(/ 1 (+ 1 ux))
Outputs
(neg.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 ux (*.f32 maxCos maxCos))))) (neg.f32 (fma.f32 (*.f32 ux maxCos) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))))
(neg.f32 (/.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
(neg.f32 (/.f32 (fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))))) #s(literal 1 binary32)) (neg.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) (-.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))))))
(neg.f32 (/.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) #s(literal -1 binary32)) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (neg.f32 ux) #s(literal 1 binary32))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 ux (*.f32 maxCos maxCos)))))) (fma.f32 (*.f32 ux maxCos) (+.f32 (fma.f32 ux maxCos #s(literal -1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(neg.f32 (/.f32 (neg.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))) (+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))))) #s(literal 1 binary32))) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) (-.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux))))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) #s(literal -1 binary32))) (fma.f32 ux maxCos (-.f32 #s(literal -1 binary32) ux))))
(+.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 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 #s(literal 0 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 maxCos maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
(+.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) (fma.f32 ux maxCos (-.f32 #s(literal -1 binary32) ux))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal -1 binary32) ux)))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)) (neg.f32 ux))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux))))
(+.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))
(+.f32 (fma.f32 ux maxCos (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (fma.f32 ux maxCos (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #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))
(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 maxCos)))
(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 (*.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) ux (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)) (*.f32 ux maxCos))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(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 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 maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
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(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
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(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
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(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 ux maxCos))
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(fma.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))) (*.f32 ux maxCos))
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(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) maxCos)) ux) #s(literal 1 binary32))
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(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 (*.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
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(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32))))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 ux (*.f32 maxCos maxCos))))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (*.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (neg.f32 ux))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) #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)) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.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)) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
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(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux))) #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
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(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 ux maxCos))
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(fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 ux maxCos))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) #s(literal 1 binary32)) (*.f32 ux maxCos))
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(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
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(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(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 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 maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 (neg.f32 ux) (*.f32 ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 maxCos (*.f32 maxCos maxCos) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos maxCos))) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)))) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux (*.f32 maxCos maxCos))) (+.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal -1 binary32) ux))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal -1 binary32) ux)))))
(fma.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) maxCos)) ux) #s(literal 1 binary32))
(fma.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 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) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 (*.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32))))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 (*.f32 ux ux)) (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 ux (*.f32 maxCos maxCos))))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (*.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (neg.f32 ux))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (/.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) #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)) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.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)) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(fma.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (neg.f32 (*.f32 ux ux))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux))) #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos)))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 ux maxCos))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (*.f32 ux (fma.f32 maxCos (*.f32 maxCos maxCos) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos maxCos))) #s(literal 1 binary32))
(fma.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) (*.f32 ux maxCos))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (*.f32 (fma.f32 maxCos (*.f32 maxCos maxCos) #s(literal -1 binary32)) ux) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos maxCos))) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) ux) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux maxCos)))
(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 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux ux)) (*.f32 ux maxCos)))
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(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos)))
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(-.f32 #s(literal 0 binary32) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))))
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(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
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(/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux (neg.f32 ux)) (*.f32 (fma.f32 ux ux (neg.f32 ux)) (fma.f32 ux ux (neg.f32 ux)))))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux (neg.f32 ux)) (-.f32 (fma.f32 ux ux (neg.f32 ux)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux (neg.f32 ux)) (fma.f32 ux ux (neg.f32 ux))))) (+.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) ux))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) ux))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)))) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))
(*.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 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(*.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 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 (neg.f32 ux) (*.f32 ux (*.f32 ux (*.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32))) (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux ux)))))
(*.f32 (/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))

simplify295.0ms (4.5%)

Memory
14.4MiB live, 499.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 692×accelerator-lowering-fma.f32
8 692×accelerator-lowering-fma.f64
2 658×*-lowering-*.f32
2 658×*-lowering-*.f64
1 810×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099741
1291702
2778698
32254677
45992676
08067638
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
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))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
1
(+ 1 (* -1 ux))
(+ 1 (* 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))
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)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(neg.f32 (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(neg.f32 (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #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 (* -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)))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux)

eval177.0ms (2.7%)

Memory
3.7MiB live, 190.3MiB allocated
Compiler

Compiled 27 981 to 1 593 computations (94.3% saved)

prune120.0ms (1.8%)

Memory
-6.3MiB live, 272.0MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 17341 177
Fresh202
Picked145
Done101
Total1 17781 185
Accuracy
100.0%
Counts
1 185 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.6%
(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) #s(literal 1 binary32))
✓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))
✓97.7%
(-.f32 #s(literal 1 binary32) ux)
▶96.7%
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
▶97.3%
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
✓9.3%
(*.f32 ux maxCos)
✓72.9%
#s(literal 1 binary32)
Compiler

Compiled 83 to 58 computations (30.1% saved)

simplify367.0ms (5.6%)

Memory
-3.1MiB live, 400.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 ux (*.f32 ux ux))
✓cost-diff0
(neg.f32 (*.f32 ux (*.f32 ux ux)))
✓cost-diff32
(fma.f32 ux ux #s(literal 0 binary32))
✓cost-diff992
(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) #s(literal 1 binary32))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(+.f32 ux #s(literal 1 binary32))
✓cost-diff0
(/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))
✓cost-diff0
(fma.f32 ux ux #s(literal -1 binary32))
✓cost-diff704
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
✓cost-diff0
(fma.f32 ux ux #s(literal -1 binary32))
✓cost-diff0
(/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))
✓cost-diff64
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
✓cost-diff1056
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
Rules
10 404×accelerator-lowering-fma.f32
10 404×accelerator-lowering-fma.f64
1 940×*-lowering-*.f32
1 940×*-lowering-*.f64
1 160×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025170
166158
2210158
3925153
4354693
5766393
0817788
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ -1 (+ (* ux ux) -1)) (* (+ (* ux (neg ux)) 1) (- 1 ux)))
(/ -1 (+ (* ux ux) -1))
-1
(+ (* ux ux) -1)
ux
(* (+ (* ux (neg ux)) 1) (- 1 ux))
(+ (* ux (neg ux)) 1)
(neg ux)
1
(- 1 ux)
(* (+ (* ux ux) -1) (/ -1 (+ ux 1)))
(+ (* ux ux) -1)
ux
-1
(/ -1 (+ ux 1))
(+ ux 1)
1
(+ (* ux maxCos) (- 1 ux))
ux
maxCos
(- 1 ux)
1
(+ (* (neg (* ux (* ux ux))) (/ 1 (+ (* ux ux) 0))) 1)
(neg (* ux (* ux ux)))
(* ux (* ux ux))
ux
(* ux ux)
(/ 1 (+ (* ux ux) 0))
1
(+ (* ux ux) 0)
0
Outputs
(* (/ -1 (+ (* ux ux) -1)) (* (+ (* ux (neg ux)) 1) (- 1 ux)))
(-.f32 #s(literal 1 binary32) ux)
(/ -1 (+ (* ux ux) -1))
(/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))
-1
#s(literal -1 binary32)
(+ (* ux ux) -1)
(fma.f32 ux ux #s(literal -1 binary32))
ux
(* (+ (* ux (neg ux)) 1) (- 1 ux))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) ux))
(+ (* ux (neg ux)) 1)
(neg.f32 (fma.f32 ux ux #s(literal -1 binary32)))
(neg ux)
(neg.f32 ux)
1
#s(literal 1 binary32)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(* (+ (* ux ux) -1) (/ -1 (+ ux 1)))
(-.f32 #s(literal 1 binary32) ux)
(+ (* ux ux) -1)
(fma.f32 ux ux #s(literal -1 binary32))
ux
-1
#s(literal -1 binary32)
(/ -1 (+ ux 1))
(/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))
(+ ux 1)
(+.f32 ux #s(literal 1 binary32))
1
#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)
(+ (* (neg (* ux (* ux ux))) (/ 1 (+ (* ux ux) 0))) 1)
(-.f32 #s(literal 1 binary32) ux)
(neg (* ux (* ux ux)))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* ux (* ux ux))
(*.f32 ux (*.f32 ux ux))
ux
(* ux ux)
(*.f32 ux ux)
(/ 1 (+ (* ux ux) 0))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ (* ux ux) 0)
(*.f32 ux ux)
0
#s(literal 0 binary32)

localize132.0ms (2%)

Memory
8.8MiB live, 161.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 (*.f32 ux (*.f32 ux ux)))
✓accuracy99.8%
(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) #s(literal 1 binary32))
✓accuracy99.1%
(*.f32 ux (*.f32 ux ux))
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32)))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(fma.f32 ux ux #s(literal -1 binary32))
✓accuracy100.0%
(+.f32 ux #s(literal 1 binary32))
✓accuracy99.6%
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
✓accuracy99.0%
(/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32)))
✓accuracy100.0%
(neg.f32 ux)
✓accuracy99.8%
(/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))
✓accuracy99.6%
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
✓accuracy99.5%
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
Samples
62.0ms251×0valid
4.0ms5×5exit
Compiler

Compiled 128 to 28 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 15.0ms (43.4% of total)
ival-add: 8.0ms (23.1% of total)
ival-div: 7.0ms (20.2% of total)
ival-neg: 2.0ms (5.8% of total)
ival-sub: 1.0ms (2.9% 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)

series8.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
15 → 192
Calls
Call 1
Inputs
#<alt (* (/ -1 (+ (* ux ux) -1)) (* (+ (* ux (neg ux)) 1) (- 1 ux)))>
#<alt (* (+ (* ux (neg ux)) 1) (- 1 ux))>
#<alt (/ -1 (+ (* ux ux) -1))>
#<alt (+ (* ux ux) -1)>
#<alt (* (+ (* ux ux) -1) (/ -1 (+ ux 1)))>
#<alt (/ -1 (+ ux 1))>
#<alt (+ ux 1)>
#<alt (+ (* ux maxCos) (- 1 ux))>
#<alt (- 1 ux)>
#<alt (+ (* (neg (* ux (* ux ux))) (/ 1 (+ (* ux ux) 0))) 1)>
#<alt (+ (* ux ux) 0)>
#<alt (neg (* ux (* ux ux)))>
#<alt (* ux (* ux ux))>
#<alt (neg ux)>
#<alt (/ 1 (+ (* ux ux) 0))>
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 (* -1 ux))>
#<alt (+ 1 (* ux (- (* -1 ux) 1)))>
#<alt (+ 1 (* ux (- (* ux (- ux 1)) 1)))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (- 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))))>
#<alt (* (pow ux 3) (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (pow ux 3)>
#<alt (* -1 (* (pow ux 3) (- (/ 1 ux) 1)))>
#<alt (* -1 (* (pow ux 3) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1)))>
#<alt (* -1 (* (pow ux 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1) ux)) 1)))>
#<alt 1>
#<alt (+ 1 (pow ux 2))>
#<alt (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))>
#<alt (+ 1 (* (pow ux 2) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))>
#<alt (/ -1 (pow ux 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))>
#<alt (/ -1 (pow ux 2))>
#<alt (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))>
#<alt -1>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (- (pow ux 2) 1)>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt (* (pow ux 2) (- 1 (/ 1 (pow ux 2))))>
#<alt 1>
#<alt (+ 1 (* -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 (- ux 1)>
#<alt (- (* ux (+ 1 (* -1 ux))) 1)>
#<alt (- (* ux (+ 1 (* ux (- ux 1)))) 1)>
#<alt (/ -1 ux)>
#<alt (/ (- (/ 1 ux) 1) ux)>
#<alt (/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)>
#<alt (/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (- 1 (/ 1 ux)) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) 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 (* 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 (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (* -1 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 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
ux
@inf
(* (/ -1 (+ (* ux ux) -1)) (* (+ (* ux (neg ux)) 1) (- 1 ux)))
1.0ms
ux
@0
(* (/ -1 (+ (* ux ux) -1)) (* (+ (* ux (neg ux)) 1) (- 1 ux)))
0.0ms
ux
@-inf
(* (/ -1 (+ (* ux ux) -1)) (* (+ (* ux (neg ux)) 1) (- 1 ux)))
0.0ms
ux
@0
(* (+ (* ux ux) -1) (/ -1 (+ ux 1)))
0.0ms
ux
@-inf
(* ux (* ux ux))

rewrite99.0ms (1.5%)

Memory
10.2MiB live, 178.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
920×accelerator-lowering-fma.f32
920×accelerator-lowering-fma.f64
782×*-lowering-*.f32
782×*-lowering-*.f64
672×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025104
116481
0153078
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
15 → 416
Calls
Call 1
Inputs
(* (/ -1 (+ (* ux ux) -1)) (* (+ (* ux (neg ux)) 1) (- 1 ux)))
(* (+ (* ux (neg ux)) 1) (- 1 ux))
(/ -1 (+ (* ux ux) -1))
(+ (* ux ux) -1)
(* (+ (* ux ux) -1) (/ -1 (+ ux 1)))
(/ -1 (+ ux 1))
(+ ux 1)
(+ (* ux maxCos) (- 1 ux))
(- 1 ux)
(+ (* (neg (* ux (* ux ux))) (/ 1 (+ (* ux ux) 0))) 1)
(+ (* ux ux) 0)
(neg (* ux (* ux ux)))
(* ux (* ux ux))
(neg ux)
(/ 1 (+ (* ux ux) 0))
Outputs
(+.f32 (*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 ux)))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32)))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (neg.f32 ux) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))) (neg.f32 ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (fma.f32 ux ux #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/.f32 (*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux 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 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(/.f32 (/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))))
(*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
(*.f32 (/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (fma.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(*.f32 (/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) (fma.f32 ux ux #s(literal 1 binary32)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 ux)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (neg.f32 ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (neg.f32 ux))))
(+.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(+.f32 (*.f32 (*.f32 ux (neg.f32 ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux (neg.f32 ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 ux (neg.f32 ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux (neg.f32 ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (neg.f32 ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux (neg.f32 ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 ux)))
(/.f32 (*.f32 (fma.f32 (*.f32 ux (neg.f32 ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(/.f32 (*.f32 (fma.f32 (*.f32 ux (neg.f32 ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
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(*.f32 (pow.f32 ux #s(literal -1 binary32)) (pow.f32 ux #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 ux ux) #s(literal -1/2 binary32)) (pow.f32 (*.f32 ux ux) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 ux (*.f32 ux (*.f32 ux ux))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 ux ux))

simplify323.0ms (5%)

Memory
-51.3MiB live, 690.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 470×accelerator-lowering-fma.f32
12 470×accelerator-lowering-fma.f64
3 140×*-lowering-*.f32
3 140×*-lowering-*.f64
2 244×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117915
1332895
2949882
33330858
47880858
08324820
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
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 (* -1 ux))
(+ 1 (* ux (- (* -1 ux) 1)))
(+ 1 (* ux (- (* ux (- ux 1)) 1)))
(pow ux 3)
(* (pow ux 3) (- 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))))
(* (pow ux 3) (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(pow ux 3)
(* -1 (* (pow ux 3) (- (/ 1 ux) 1)))
(* -1 (* (pow ux 3) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1)))
(* -1 (* (pow ux 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1) ux)) 1)))
1
(+ 1 (pow ux 2))
(+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))
(+ 1 (* (pow ux 2) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))
(/ -1 (pow ux 2))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(/ -1 (pow ux 2))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
-1
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(- (pow ux 2) 1)
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
-1
(- ux 1)
(- (* ux (+ 1 (* -1 ux))) 1)
(- (* ux (+ 1 (* ux (- ux 1)))) 1)
(/ -1 ux)
(/ (- (/ 1 ux) 1) ux)
(/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)
(/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)
(/ -1 ux)
(* -1 (/ (- 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) 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 (* 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))))
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- (* -1 ux) 1)))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (- ux 1)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (- 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux (neg.f32 ux)))
(* (pow ux 3) (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))))
(*.f32 ux (fma.f32 ux ux (-.f32 #s(literal -1 binary32) ux)))
(* (pow ux 3) (- (+ 1 (/ 1 (pow ux 3))) (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* -1 (* (pow ux 3) (- (/ 1 ux) 1)))
(*.f32 ux (fma.f32 ux ux (neg.f32 ux)))
(* -1 (* (pow ux 3) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1)))
(*.f32 ux (fma.f32 ux ux (-.f32 #s(literal -1 binary32) ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1) ux)) 1)))
(*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (pow ux 2))
(fma.f32 ux ux #s(literal 1 binary32))
(+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))
(fma.f32 ux (fma.f32 ux (*.f32 ux ux) ux) #s(literal 1 binary32))
(+ 1 (* (pow ux 2) (+ 1 (* (pow ux 2) (+ 1 (pow ux 2))))))
(*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32)))
(/ -1 (pow ux 2))
(/.f32 #s(literal -1 binary32) (*.f32 ux ux))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux ux))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux ux))) (*.f32 ux ux))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))))
(/ -1 (pow ux 2))
(/.f32 #s(literal -1 binary32) (*.f32 ux ux))
(* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2)))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux ux))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 2))) 1) (pow ux 2))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux ux))) (*.f32 ux ux))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow ux 2))) (pow ux 4))) (+ 1 (/ 1 (pow ux 2)))) (pow ux 2))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))))
-1
#s(literal -1 binary32)
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(- (pow ux 2) 1)
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
(* (pow ux 2) (- 1 (/ 1 (pow ux 2))))
(fma.f32 ux ux #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -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)
(- ux 1)
(+.f32 #s(literal -1 binary32) ux)
(- (* ux (+ 1 (* -1 ux))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(- (* ux (+ 1 (* ux (- ux 1)))) 1)
(*.f32 (+.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(/ (- (/ 1 ux) 1) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(/ (- (/ 1 ux) (+ 1 (/ 1 (pow ux 2)))) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)
(/ (- (+ (/ 1 ux) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 2)))) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) ux)
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (- 1 (/ 1 ux)) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))) ux))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) ux)
1
#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 (* 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)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* -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 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))

eval58.0ms (0.9%)

Memory
20.4MiB live, 171.0MiB allocated
Compiler

Compiled 12 950 to 1 226 computations (90.5% saved)

prune94.0ms (1.4%)

Memory
4.9MiB live, 206.4MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New7172719
Fresh000
Picked224
Done044
Total7198727
Accuracy
100.0%
Counts
727 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.6%
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))
✓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))
▶96.6%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
✓97.7%
(-.f32 #s(literal 1 binary32) ux)
✓96.7%
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
✓9.3%
(*.f32 ux maxCos)
✓72.9%
#s(literal 1 binary32)
Compiler

Compiled 77 to 53 computations (31.2% saved)

simplify166.0ms (2.6%)

Memory
19.2MiB live, 174.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 (*.f32 ux (*.f32 ux ux)))
✓cost-diff0
(*.f32 ux ux)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓cost-diff992
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓cost-diff0
(+.f32 ux #s(literal 1 binary32))
✓cost-diff64
(/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
✓cost-diff352
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
Rules
2 872×*-lowering-*.f32
2 872×*-lowering-*.f64
2 072×accelerator-lowering-fma.f32
2 072×accelerator-lowering-fma.f64
1 702×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01262
13860
210051
334451
4295151
5415651
6617851
0826249
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ (+ ux 1) (- 1 (* ux ux))))
1
(/ (+ ux 1) (- 1 (* ux ux)))
(+ ux 1)
ux
(- 1 (* ux ux))
(* ux ux)
(+ (* (/ 1 (* ux ux)) (neg (* ux (* ux ux)))) 1)
(/ 1 (* ux ux))
1
(* ux ux)
ux
(neg (* ux (* ux ux)))
(* ux (* ux ux))
Outputs
(/ 1 (/ (+ ux 1) (- 1 (* ux ux))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
1
#s(literal 1 binary32)
(/ (+ ux 1) (- 1 (* ux ux)))
(/.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(+ ux 1)
(+.f32 #s(literal 1 binary32) ux)
ux
(- 1 (* ux ux))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* ux ux)
(*.f32 ux ux)
(+ (* (/ 1 (* ux ux)) (neg (* ux (* ux ux)))) 1)
(-.f32 #s(literal 1 binary32) ux)
(/ 1 (* ux ux))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
1
#s(literal 1 binary32)
(* ux ux)
(*.f32 ux ux)
ux
(neg (* ux (* ux ux)))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* ux (* ux ux))
(*.f32 ux (*.f32 ux ux))

localize78.0ms (1.2%)

Memory
-32.8MiB live, 57.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f32 (*.f32 ux (*.f32 ux ux)))
✓accuracy99.8%
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))
✓accuracy99.1%
(*.f32 ux (*.f32 ux ux))
✓accuracy99.1%
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓accuracy100.0%
(*.f32 ux ux)
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓accuracy99.7%
(/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
✓accuracy98.9%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
Samples
58.0ms251×0valid
2.0ms5×5exit
Compiler

Compiled 69 to 16 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 39.0ms (75.4% of total)
ival-mult: 7.0ms (13.5% of total)
ival-add: 3.0ms (5.8% of total)
ival-neg: 1.0ms (1.9% of total)
ival-sub: 1.0ms (1.9% 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)

series2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ ux 1) (- 1 (* ux ux))))>
#<alt (/ (+ ux 1) (- 1 (* ux ux)))>
#<alt (+ ux 1)>
#<alt (- 1 (* ux ux))>
#<alt (+ (* (/ 1 (* ux ux)) (neg (* ux (* ux ux)))) 1)>
#<alt (/ 1 (* ux ux))>
#<alt (* ux ux)>
#<alt (neg (* ux (* ux ux)))>
#<alt (* ux (* ux ux))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))>
#<alt 1>
#<alt (+ 1 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 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (+ 1 (* -1 (pow ux 2)))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt (* (pow ux 2) (- (/ 1 (pow ux 2)) 1))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (/ 1 (pow ux 2))>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (pow ux 3))>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
Calls

27 calls:

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

rewrite60.0ms (0.9%)

Memory
30.0MiB live, 103.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
346×*-lowering-*.f32
346×*-lowering-*.f64
340×/-lowering-/.f32
340×/-lowering-/.f64
304×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01255
18938
068738
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
9 → 167
Calls
Call 1
Inputs
(/ 1 (/ (+ ux 1) (- 1 (* ux ux))))
(/ (+ ux 1) (- 1 (* ux ux)))
(+ ux 1)
(- 1 (* ux ux))
(+ (* (/ 1 (* ux ux)) (neg (* ux (* ux ux)))) 1)
(/ 1 (* ux ux))
(* ux ux)
(neg (* ux (* ux ux)))
(* ux (* ux ux))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux ux))))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)) (*.f32 (neg.f32 (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 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 #s(literal 1 binary32) ux))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.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 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux 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 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (fma.f32 ux ux #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal -1 binary32) (/.f32 #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 (/.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) (+.f32 #s(literal 1 binary32) ux)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)))
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(*.f32 ux (*.f32 ux ux))
(*.f32 (*.f32 ux ux) ux)
(*.f32 (pow.f32 ux #s(literal 3/2 binary32)) (pow.f32 ux #s(literal 3/2 binary32)))

simplify273.0ms (4.2%)

Memory
-17.5MiB live, 513.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 082×accelerator-lowering-fma.f32
11 082×accelerator-lowering-fma.f64
2 740×*-lowering-*.f32
2 740×*-lowering-*.f64
2 274×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045459
1120422
2273420
3717420
41639420
54051420
66758420
08068418
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
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 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
1
(+ 1 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 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(/ 1 (pow ux 2))
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(* -1 (pow ux 3))
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
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 ux)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+ 1 (* ux (+ 1 (* ux (+ 1 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 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal -1 binary32) ux) ux)) (*.f32 ux ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux))))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal -1 binary32) ux) ux)) (*.f32 ux ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux))))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))

eval24.0ms (0.4%)

Memory
-26.3MiB live, 49.8MiB allocated
Compiler

Compiled 4 622 to 545 computations (88.2% saved)

prune29.0ms (0.5%)

Memory
39.2MiB live, 78.0MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3190319
Fresh000
Picked022
Done066
Total3198327
Accuracy
100.0%
Counts
327 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.6%
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))
✓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))
✓96.6%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
✓97.7%
(-.f32 #s(literal 1 binary32) ux)
✓96.7%
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
✓9.3%
(*.f32 ux maxCos)
✓72.9%
#s(literal 1 binary32)
Compiler

Compiled 229 to 99 computations (56.8% saved)

regimes23.0ms (0.3%)

Memory
-6.5MiB live, 35.0MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
(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))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(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 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))
(fma.f32 (neg.f32 (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 0 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.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))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Calls

4 calls:

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

Compiled 22 to 16 computations (27.3% saved)

regimes21.0ms (0.3%)

Memory
-23.8MiB live, 14.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
Outputs
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

15.0ms
maxCos
2.0ms
uy
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
ux
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
12.3MiB live, 12.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
Outputs
(-.f32 #s(literal 1 binary32) ux)
Calls

4 calls:

2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
2.0ms
maxCos
2.0ms
ux
Results
AccuracySegmentsBranch
97.7%1ux
97.7%1uy
97.7%1maxCos
97.7%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
10.3MiB live, 10.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
1.0ms
maxCos
1.0ms
ux
Results
AccuracySegmentsBranch
72.9%1ux
72.9%1uy
72.9%1maxCos
72.9%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify27.0ms (0.4%)

Memory
-28.0MiB live, 10.5MiB 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)

soundness745.0ms (11.5%)

Memory
25.5MiB live, 366.4MiB allocated
Rules
13 714×accelerator-lowering-fma.f32
13 714×accelerator-lowering-fma.f64
5 750×accelerator-lowering-fma.f32
5 750×accelerator-lowering-fma.f64
5 316×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
0613
13913
234013
3528013
0897912
01636
110635
292635
0875833
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 56 to 38 computations (32.1% saved)

preprocess93.0ms (1.4%)

Memory
-5.9MiB live, 122.7MiB 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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