UniformSampleCone, z

Time bar (total: 8.1s)

analyze75.0ms (0.9%)

Memory
1.7MiB live, 116.7MiB 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)

sample1.2s (15%)

Memory
81.1MiB live, 1 371.6MiB allocated
Samples
895.0ms8 181×0valid
8.0ms75×1valid
Precisions
Click to see histograms. Total time spent on operations: 706.0ms
ival-<=: 380.0ms (53.8% of total)
const: 127.0ms (18% of total)
ival-sub: 67.0ms (9.5% of total)
ival-mult: 51.0ms (7.2% of total)
ival-add: 42.0ms (5.9% of total)
ival-and: 29.0ms (4.1% of total)
exact: 7.0ms (1% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess64.0ms (0.8%)

Memory
24.8MiB live, 62.0MiB allocated
Algorithm
1×egg-herbie
Rules
384×lower-fma.f64
384×lower-fma.f32
348×sub-neg
248×cancel-sign-sub-inv
204×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

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

(abs uy)

explain63.0ms (0.8%)

Memory
-17.0MiB live, 99.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
28.0ms510×0valid
0.0ms2×1valid
Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (50.7% of total)
ival-add: 3.0ms (25.3% of total)
ival-sub: 3.0ms (25.3% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

simplify22.0ms (0.3%)

Memory
-8.3MiB live, 28.9MiB 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×lower-fma.f64
384×lower-fma.f32
160×lower-*.f64
158×lower-*.f32
120×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize17.0ms (0.2%)

Memory
26.8MiB live, 26.8MiB 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
10.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (23.1% of total)
ival-sub: 1.0ms (23.1% of total)
ival-mult: 1.0ms (23.1% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-30.9MiB live, 6.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
Calls

15 calls:

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

rewrite275.0ms (3.4%)

Memory
43.5MiB live, 386.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
4 062×lower-*.f64
4 060×lower-*.f32
2 014×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

simplify242.0ms (3%)

Memory
34.4MiB live, 253.5MiB allocated
Algorithm
1×egg-herbie
Rules
5 316×lower-fma.f64
5 316×lower-fma.f32
2 180×div-sub
2 012×lower-*.f64
2 012×lower-*.f32
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)

eval47.0ms (0.6%)

Memory
-14.1MiB live, 69.1MiB allocated
Compiler

Compiled 8 109 to 762 computations (90.6% saved)

prune72.0ms (0.9%)

Memory
10.2MiB live, 122.2MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3665371
Fresh000
Picked011
Done000
Total3666372
Accuracy
100.0%
Counts
372 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶97.1%
(-.f32 #s(literal 1 binary32) ux)
▶98.8%
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
▶98.3%
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓99.9%
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶69.1%
#s(literal 1 binary32)
Compiler

Compiled 132 to 83 computations (37.1% saved)

simplify522.0ms (6.4%)

Memory
-10.7MiB live, 582.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓cost-diff64
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
✓cost-diff96
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓cost-diff992
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
✓cost-diff0
(neg.f32 ux)
✓cost-diff0
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
✓cost-diff64
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
✓cost-diff608
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(+.f32 #s(literal -1 binary32) maxCos)
✓cost-diff0
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Rules
24 140×lower-fma.f64
24 136×lower-fma.f32
2 804×lower-+.f64
2 798×lower-+.f32
2 622×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019136
03690
17590
216688
353488
4167788
5648888
0813485
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
ux
(+.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
maxCos
#s(literal 1 binary32)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(/.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))
ux
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)
maxCos
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(/.f32 (-.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 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(+.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
(*.f32 ux maxCos)
maxCos
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
(+.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
maxCos
#s(literal 1 binary32)
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 ux maxCos (-.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) ux)
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
ux
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) ux)
(+.f32 ux #s(literal 1 binary32))
(*.f32 ux maxCos)
maxCos
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) ux)
(+.f32 ux #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(*.f32 ux (fma.f32 ux ux ux))
(*.f32 ux ux)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(*.f32 ux maxCos)
maxCos

localize72.0ms (0.9%)

Memory
-10.3MiB live, 153.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓accuracy99.1%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓accuracy98.8%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
✓accuracy98.6%
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
✓accuracy100.0%
(*.f32 ux maxCos)
✓accuracy100.0%
(neg.f32 ux)
✓accuracy99.9%
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
✓accuracy98.8%
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy100.0%
(+.f32 #s(literal -1 binary32) maxCos)
✓accuracy100.0%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Samples
33.0ms247×0valid
10.0ms9×1valid
Compiler

Compiled 142 to 24 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-add: 15.0ms (46.8% of total)
ival-mult: 9.0ms (28.1% of total)
ival-div: 3.0ms (9.4% of total)
ival-sub: 2.0ms (6.2% of total)
ival-neg: 2.0ms (6.2% 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)

series20.0ms (0.2%)

Memory
1.7MiB live, 40.1MiB allocated
Counts
13 → 204
Calls
Call 1
Inputs
#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal -1 binary32) maxCos) (patch (+.f32 #s(literal -1 binary32) maxCos) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (patch (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) (patch (+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())
#s(alt (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (patch (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) #<representation binary32>) () ())
#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())
#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) (patch (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux))) (taylor 0 maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux))))) (taylor inf maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux))))) (taylor inf maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux))))) (taylor inf maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (+.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)) (patch (+.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)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 ux)) (taylor 0 ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 ux)) (taylor 0 ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 ux)) (taylor 0 ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (pow ux 3) (taylor inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (pow ux 3) (taylor -inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 2 ux)) (taylor 0 ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 2 ux))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 2 ux))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (patch (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
Calls

51 calls:

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

rewrite440.0ms (5.4%)

Memory
4.5MiB live, 630.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 710×lower-fma.f64
5 706×lower-fma.f32
4 952×lower-/.f64
4 948×lower-/.f32
4 736×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019111
03663
117263
2162763
0892361
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 433
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 #s(literal -1 binary32) maxCos)
(-.f32 #s(literal 1 binary32) ux)
(/.f32 (fma.f32 ux (neg.f32 ux) #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) ux)) (*.f32 ux maxCos))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
(/.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 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux 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 #s(literal 1 binary32) ux) (*.f32 ux ux))
(*.f32 ux maxCos)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
Outputs
(+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(pow.f32 (/.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)))) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux)))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal -1 binary32)) (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (*.f32 ux (fma.f32 ux maxCos (neg.f32 ux))) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 ux maxCos) (-.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux)))) (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 maxCos (*.f32 ux maxCos)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (*.f32 (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal -1 binary32) 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) (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(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) ux) #s(literal 1 binary32) (*.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 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux 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 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) #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 (neg.f32 ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.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 (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.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 (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.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 ux maxCos))
(fma.f32 (/.f32 (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (fma.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) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux (neg.f32 ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))) (*.f32 ux maxCos))
(fma.f32 (pow.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.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 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 (*.f32 ux (neg.f32 ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 (*.f32 ux (neg.f32 ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 (*.f32 ux (neg.f32 ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (*.f32 ux ux) (+.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
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(/.f32 (neg.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)) (-.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux ux))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (neg.f32 (-.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux ux))))
(/.f32 (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 ux)) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(*.f32 (/.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 ux #s(literal 1 binary32)))))
(*.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (fma.f32 ux (neg.f32 ux) #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) ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (/.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 ux (neg.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)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #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 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (pow.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (exp.f32 (log1p.f32 ux)) (exp.f32 (log1p.f32 ux)))
(*.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 (fma.f32 ux (neg.f32 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) (neg.f32 ux)))))
(*.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (fma.f32 ux (neg.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)) #s(literal 1 binary32)) (/.f32 (+.f32 ux #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 #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)) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (/.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 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)))) (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (fma.f32 ux (neg.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)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 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 (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 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)))) (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))))

simplify387.0ms (4.8%)

Memory
12.7MiB live, 677.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 296×lower-fma.f64
14 296×lower-fma.f32
3 530×lower-*.f64
3 530×lower-*.f32
2 578×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361338
14251283
212971225
342871166
479891166
080881088
Stop Event
1×iter limit
1×node limit
Counts
204 → 202
Calls
Call 1
Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
-1
(- maxCos 1)
(- maxCos 1)
(- maxCos 1)
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(+ (* -1 (/ (pow 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 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(* maxCos ux)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* 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 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
-1
#s(literal -1 binary32)
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
(- maxCos 1)
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
(* maxCos (- 1 (/ 1 maxCos)))
(+.f32 maxCos #s(literal -1 binary32))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(+.f32 maxCos #s(literal -1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 ux maxCos (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 ux maxCos (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(* 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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 ux maxCos (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
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 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 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(neg.f32 (fma.f32 ux (*.f32 ux ux) (neg.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2)))) (/ (pow ux 2) (+ 1 ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 maxCos (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) ux) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 maxCos (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) ux) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (pow (+ 1 ux) 2))) (/ ux (* maxCos (pow (+ 1 ux) 2))))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))
(fma.f32 maxCos (fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos maxCos))) ux) (/.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (pow (+ 1 ux) 2)) (/ ux (pow (+ 1 ux) 2))) (/ (pow ux 2) (+ 1 ux))) maxCos)))))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux (-.f32 maxCos (/.f32 ux (+.f32 #s(literal 1 binary32) ux)))))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* 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 (* 2 ux))
(fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (+.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (+.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))

eval239.0ms (2.9%)

Memory
-9.5MiB live, 292.6MiB allocated
Compiler

Compiled 56 409 to 3 209 computations (94.3% saved)

prune279.0ms (3.4%)

Memory
22.5MiB live, 390.6MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1 65831 661
Fresh000
Picked235
Done101
Total1 66161 667
Accuracy
100.0%
Counts
1 667 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(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))
▶96.1%
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
▶95.7%
(/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
✓97.1%
(-.f32 #s(literal 1 binary32) ux)
✓69.1%
#s(literal 1 binary32)
Compiler

Compiled 61 to 41 computations (32.8% saved)

simplify557.0ms (6.8%)

Memory
13.4MiB live, 880.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 #s(literal 1 binary32) ux)
✓cost-diff0
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓cost-diff0
(+.f32 ux #s(literal 1 binary32))
✓cost-diff0
(neg.f32 ux)
✓cost-diff0
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
✓cost-diff608
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))
✓cost-diff64
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓cost-diff96
(+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))))
✓cost-diff992
(/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
Rules
27 548×lower-fma.f64
27 542×lower-fma.f32
3 822×lower-*.f64
3 818×lower-*.f32
1 998×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01591
030115
165115
214799
338887
4102984
5312369
0824267
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))))
ux
(-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))
#s(literal 1 binary32)
(*.f32 ux (fma.f32 ux ux ux))
(fma.f32 ux ux ux)
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(+.f32 ux #s(literal 1 binary32))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
ux
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
(/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) ux)
(+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
ux
(-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))
(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux (fma.f32 ux ux ux))
(fma.f32 ux ux ux)
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 ux #s(literal 1 binary32))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
ux
(neg.f32 ux)
#s(literal 1 binary32)
(+.f32 ux #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
ux
maxCos
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

localize54.0ms (0.7%)

Memory
-23.3MiB live, 131.3MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy99.9%
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
✓accuracy100.0%
(+.f32 ux #s(literal 1 binary32))
✓accuracy100.0%
(neg.f32 ux)
✓accuracy98.8%
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓accuracy99.8%
(-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))
✓accuracy99.5%
(*.f32 ux (fma.f32 ux ux ux))
✓accuracy98.8%
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓accuracy98.6%
(/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
Samples
31.0ms247×0valid
2.0ms9×1valid
Compiler

Compiled 101 to 21 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (42% of total)
ival-add: 5.0ms (23.3% of total)
ival-div: 3.0ms (14% of total)
ival-sub: 2.0ms (9.3% of total)
ival-neg: 1.0ms (4.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
11 → 144
Calls
Call 1
Inputs
#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (patch (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (neg.f32 ux) (patch (neg.f32 ux) #<representation binary32>) () ())
#s(alt (+.f32 ux #s(literal 1 binary32)) (patch (+.f32 ux #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 ux) (taylor 0 ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 1 (* -1 ux)))) (taylor 0 ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1))))) (taylor 0 ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor inf ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux)))) (taylor inf ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux)))) (taylor inf ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux)))) (taylor inf ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor -inf ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux))))) (taylor -inf ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux))))) (taylor -inf ux) (#s(alt (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (patch (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 2 ux)) (taylor 0 ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 2 ux))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 2 ux))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (pow ux 2))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow ux 2) (- (* -1 ux) 1))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow ux 2) (- (* -1 ux) 1))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 ux)) (taylor 0 ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 ux)) (taylor 0 ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 ux)) (taylor 0 ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (pow ux 3) (taylor inf ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor inf ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor inf ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor inf ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (pow ux 3) (taylor -inf ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ 1 (/ 1 ux))) (taylor -inf ux) (#s(alt (*.f32 ux (fma.f32 ux ux ux)) (patch (*.f32 ux (fma.f32 ux ux ux)) #<representation binary32>) () ())) ())
Calls

36 calls:

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

rewrite492.0ms (6%)

Memory
-46.8MiB live, 723.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 440×lower-fma.f64
6 434×lower-fma.f32
4 818×lower-/.f64
4 814×lower-/.f32
3 616×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01577
03093
115393
2132354
0843453
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 1 205
Calls
Call 1
Inputs
(/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(neg.f32 ux)
(+.f32 ux #s(literal 1 binary32))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux (fma.f32 ux ux ux))
Outputs
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))))
(neg.f32 (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(neg.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)))
(neg.f32 (*.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 (neg.f32 ux) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (-.f32 (*.f32 ux (fma.f32 ux ux ux)) ux) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(-.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 ux #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 ux #s(literal 1 binary32)))) (/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (+.f32 ux #s(literal 1 binary32)))))
(-.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
(-.f32 (/.f32 (/.f32 (*.f32 ux ux) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (/.f32 (*.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32))) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(-.f32 (/.f32 (-.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux (*.f32 ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))))
(-.f32 (/.f32 (*.f32 ux ux) (*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux))))) (/.f32 (*.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux))))))
(-.f32 (/.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 ux #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 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 ux)) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 ux ux) (*.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 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (-.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) ux) (*.f32 ux ux))) (fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux (*.f32 ux ux)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (-.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) ux) (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux (*.f32 ux ux))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (-.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) ux) (*.f32 ux ux)) (*.f32 (fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux))) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (+.f32 ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 ux ux #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
(/.f32 (fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32))) (*.f32 ux (*.f32 ux ux))) (*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) (-.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) #s(literal 1 binary32)) ux) (*.f32 ux ux))))
(/.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux (*.f32 ux 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 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (+.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 ux (fma.f32 ux ux ux)))))
(/.f32 (fma.f32 (*.f32 ux ux) (*.f32 ux ux) #s(literal -1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))
(/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (+.f32 ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 ux #s(literal 1 binary32))))
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(*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux ux #s(literal -1 binary32))) (/.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32)))))
(+.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux ux)))
(+.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux ux))
(fma.f32 ux ux (*.f32 ux (*.f32 ux ux)))
(fma.f32 ux (*.f32 ux ux) (*.f32 ux ux))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) (*.f32 ux (*.f32 ux ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)) (*.f32 ux ux))
(fma.f32 (neg.f32 ux) (neg.f32 ux) (*.f32 ux (*.f32 ux ux)))
(fma.f32 (*.f32 ux ux) ux (*.f32 ux ux))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(fma.f32 (*.f32 ux (*.f32 ux ux)) #s(literal 1 binary32) (*.f32 ux ux))
(fma.f32 (pow.f32 ux #s(literal 3/2 binary32)) (pow.f32 ux #s(literal 3/2 binary32)) (*.f32 ux ux))
(fma.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)) (*.f32 ux (*.f32 ux ux)))
(-.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (-.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux ux))) (/.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (-.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (-.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux ux))))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux ux)) (-.f32 (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (-.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 ux (fma.f32 ux (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux (neg.f32 ux)) (*.f32 ux (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux (neg.f32 ux))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (-.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (fma.f32 ux (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))) ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux (neg.f32 ux)) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux (neg.f32 ux))) ux)))
(/.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))) (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (-.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux ux))))))
(/.f32 (-.f32 (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (-.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux ux)))
(/.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))) (fma.f32 ux (-.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))
(/.f32 (*.f32 ux (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux (neg.f32 ux)))) (fma.f32 ux ux (neg.f32 ux)))
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))) ux) (fma.f32 ux (-.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))
(/.f32 (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux (neg.f32 ux))) ux) (fma.f32 ux ux (neg.f32 ux)))
(/.f32 (neg.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))) (neg.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (-.f32 (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux ux)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))) (neg.f32 (-.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux ux))))
(/.f32 (neg.f32 (*.f32 ux (fma.f32 ux (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))))) (neg.f32 (fma.f32 ux (-.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))))
(/.f32 (neg.f32 (*.f32 ux (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux (neg.f32 ux))))) (neg.f32 (fma.f32 ux ux (neg.f32 ux))))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))) ux)) (neg.f32 (fma.f32 ux (-.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 ux ux)))))
(/.f32 (neg.f32 (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux (neg.f32 ux))) ux)) (neg.f32 (fma.f32 ux ux (neg.f32 ux))))
(/.f32 (fma.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))))) (fma.f32 ux (*.f32 ux (*.f32 ux ux)) (-.f32 (*.f32 (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux ux))) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux ux))))))
(*.f32 ux (fma.f32 ux ux ux))
(*.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))
(*.f32 (fma.f32 ux ux ux) ux)
(*.f32 (*.f32 ux (fma.f32 ux ux ux)) #s(literal 1 binary32))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) ux)

simplify348.0ms (4.3%)

Memory
-15.9MiB live, 661.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 338×lower-fma.f64
16 338×lower-fma.f32
3 808×lower-*.f64
3 808×lower-*.f32
2 054×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100703
1308681
2940652
33604646
47503646
08199603
Stop Event
1×iter limit
1×node limit
Counts
144 → 142
Calls
Call 1
Inputs
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
1
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* (pow ux 2) (- (* -1 ux) 1)))
(+ 1 (* (pow ux 2) (- (* -1 ux) 1)))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (+ 1 (/ 1 ux))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
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 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))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (neg.f32 ux) (fma.f32 ux ux ux))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) ux)
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (neg.f32 ux) (fma.f32 ux ux ux))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* 2 ux))
(fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (+.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (+.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 2)))
(fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))
(+ 1 (* (pow ux 2) (- (* -1 ux) 1)))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) #s(literal 1 binary32))
(+ 1 (* (pow ux 2) (- (* -1 ux) 1)))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (neg.f32 ux) (fma.f32 ux ux ux))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (+ 1 (/ 1 ux))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) (+ 1 (/ 1 ux))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (neg.f32 ux) (fma.f32 ux ux ux))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux)))))
(fma.f32 (neg.f32 ux) (fma.f32 ux 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)
(+ 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 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)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))

eval176.0ms (2.2%)

Memory
20.9MiB live, 324.2MiB allocated
Compiler

Compiled 51 809 to 3 594 computations (93.1% saved)

prune249.0ms (3.1%)

Memory
14.7MiB live, 375.9MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 49011 491
Fresh000
Picked123
Done033
Total1 49161 497
Accuracy
100.0%
Counts
1 497 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(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))
▶95.6%
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
✓96.1%
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓97.1%
(-.f32 #s(literal 1 binary32) ux)
✓69.1%
#s(literal 1 binary32)
Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify495.0ms (6.1%)

Memory
8.7MiB live, 606.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
✓cost-diff32
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
✓cost-diff64
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓cost-diff448
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
Rules
17 682×lower-fma.f64
17 678×lower-fma.f32
2 594×lower--.f64
2 592×lower--.f32
2 400×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0948
01748
14048
26848
315048
435648
571148
6173240
7409540
8706040
0811037
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
ux
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
#s(literal 1 binary32)
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(+.f32 ux #s(literal 1 binary32))
Outputs
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
ux
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(-.f32 #s(literal -1 binary32) ux)
#s(literal -1 binary32)
#s(literal 1 binary32)
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 ux #s(literal 1 binary32))

localize33.0ms (0.4%)

Memory
-5.9MiB live, 70.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
✓accuracy99.8%
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
✓accuracy98.8%
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓accuracy98.6%
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
Samples
20.0ms247×0valid
1.0ms9×1valid
Compiler

Compiled 55 to 15 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (47.4% of total)
ival-add: 3.0ms (23.7% of total)
ival-div: 2.0ms (15.8% of total)
ival-sub: 1.0ms (7.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())
Outputs
#s(alt 1 (taylor 0 ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (patch (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* 2 ux)) (taylor 0 ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 2 ux))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 2 ux))) (taylor 0 ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2))))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (patch (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 ux) (taylor 0 ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 1 (* -1 ux)))) (taylor 0 ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1))))) (taylor 0 ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor inf ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor -inf ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux))))) (taylor -inf ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux))))) (taylor -inf ux) (#s(alt (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- (* -1 ux) 1))) (taylor 0 ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- (* -1 ux) 1))) (taylor 0 ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor inf ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ 1 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)) (taylor -inf ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)) (taylor -inf ux) (#s(alt (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (patch (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
Calls

12 calls:

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

rewrite317.0ms (3.9%)

Memory
-3.6MiB live, 707.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 124×lower-fma.f64
8 120×lower-fma.f32
4 514×lower-*.f64
4 512×lower-*.f32
3 872×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
01735
19135
274535
0873735
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 657
Calls
Call 1
Inputs
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
Outputs
(neg.f32 (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux)))
(+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (*.f32 (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux) (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux)) (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (*.f32 ux (neg.f32 (fma.f32 ux ux ux)))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))) ux))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (*.f32 ux ux)) (*.f32 (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (*.f32 ux ux)))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) ux) (*.f32 (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) #s(literal -1 binary32)) (*.f32 (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))) ux))
(+.f32 (*.f32 (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux) (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)))) (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux))))
(+.f32 (*.f32 (*.f32 ux (neg.f32 (fma.f32 ux ux ux))) (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)))))
(+.f32 (*.f32 (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)))) (*.f32 ux (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) ux)))))
(+.f32 (*.f32 (*.f32 ux ux) (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))) (*.f32 (*.f32 ux ux) (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))))
(+.f32 (*.f32 ux (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))))
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(/.f32 (*.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))
(/.f32 (*.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (neg.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) #s(literal 1 binary32)) (neg.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal -1 binary32)))
(/.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (*.f32 (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)))))
(*.f32 (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) (/.f32 (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))))
(*.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(*.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux 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 (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(*.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))))) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))))
(*.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32)) (*.f32 (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 ux ux ux)))) (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 (neg.f32 (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal -1 binary32))) (fma.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)))) (fma.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 (*.f32 ux ux) (-.f32 #s(literal -1 binary32) ux) ux) #s(literal 1 binary32)))

simplify304.0ms (3.7%)

Memory
-5.7MiB live, 475.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 632×lower-fma.f64
8 632×lower-fma.f32
2 282×lower-*.f64
2 282×lower-*.f32
1 326×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065300
1202281
2640244
32146238
45545238
08412222
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
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 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- (* -1 ux) 1)))
(+ 1 (* ux (- (* -1 ux) 1)))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))
(* (pow ux 2) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1))
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 (* 2 ux))
(fma.f32 ux #s(literal 2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (+ 2 ux)))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (+.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(*.f32 ux (+.f32 ux #s(literal 2 binary32)))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(*.f32 (neg.f32 ux) (*.f32 ux ux))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(*.f32 (neg.f32 ux) (*.f32 ux ux))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(fma.f32 ux (*.f32 ux (-.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -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 (- (* -1 ux) 1)))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(neg.f32 (*.f32 ux ux))
(* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))
(*.f32 ux (-.f32 #s(literal -1 binary32) ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(* -1 (pow ux 2))
(neg.f32 (*.f32 ux ux))
(* -1 (* (pow ux 2) (+ 1 (/ 1 ux))))
(*.f32 ux (-.f32 #s(literal -1 binary32) ux))
(* (pow ux 2) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))
(* (pow ux 2) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32))

eval73.0ms (0.9%)

Memory
22.4MiB live, 175.2MiB allocated
Compiler

Compiled 24 607 to 1 874 computations (92.4% saved)

prune195.0ms (2.4%)

Memory
-9.1MiB live, 268.5MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New7041705
Fresh000
Picked101
Done055
Total7056711
Accuracy
100.0%
Counts
711 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(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))
95.8%
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
✓96.1%
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓97.1%
(-.f32 #s(literal 1 binary32) ux)
✓69.1%
#s(literal 1 binary32)
Compiler

Compiled 181 to 80 computations (55.8% saved)

regimes16.0ms (0.2%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
(+.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (+.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Calls

4 calls:

4.0ms
uy
4.0ms
maxCos
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
ux
Results
AccuracySegmentsBranch
100.0%1ux
100.0%1uy
100.0%1maxCos
100.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory
-17.3MiB live, 22.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
Outputs
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
Calls

4 calls:

3.0ms
maxCos
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
uy
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)

regimes6.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) ux)
Outputs
(-.f32 #s(literal 1 binary32) ux)
Calls

4 calls:

2.0ms
uy
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
maxCos
2.0ms
ux
Results
AccuracySegmentsBranch
97.1%1ux
97.1%1uy
97.1%1maxCos
97.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory
-23.2MiB live, 15.2MiB 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:

2.0ms
maxCos
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
69.1%1ux
69.1%1uy
69.1%1maxCos
69.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB 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)

soundness712.0ms (8.7%)

Memory
7.9MiB live, 412.4MiB allocated
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
5 710×lower-fma.f64
5 706×lower-fma.f32
5 316×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
019111
03663
117263
2162763
0892361
0613
0913
14213
234313
3526813
0896812
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 50 to 35 computations (30% saved)

preprocess24.0ms (0.3%)

Memory
-21.8MiB live, 55.0MiB allocated
Remove

(abs uy)

Compiler

Compiled 76 to 46 computations (39.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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