UniformSampleCone, z

Time bar (total: 7.2s)

analyze89.0ms (1.2%)

Memory
-0.3MiB live, 118.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
25%0%0.1%99.9%0%0%0%3
25%0%0.1%99.9%0%0%0%4
37.5%0%0.1%99.9%0%0%0%5
56.2%0.1%0%99.9%0%0%0%6
56.2%0.1%0%99.9%0%0%0%7
65.6%0.1%0%99.9%0%0%0%8
76.6%0.1%0%99.9%0%0%0%9
76.6%0.1%0%99.9%0%0%0%10
82%0.1%0%99.9%0%0%0%11
87.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (14.4%)

Memory
80.4MiB live, 1 362.6MiB allocated
Samples
651.0ms8 174×0valid
90.0ms82×1valid
Precisions
Click to see histograms. Total time spent on operations: 529.0ms
const: 211.0ms (39.9% of total)
ival-<=: 111.0ms (21% of total)
ival-sub: 74.0ms (14% of total)
ival-mult: 51.0ms (9.6% of total)
ival-add: 39.0ms (7.4% of total)
ival-and: 29.0ms (5.5% of total)
exact: 8.0ms (1.5% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess64.0ms (0.9%)

Memory
27.0MiB live, 64.1MiB 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)

explain287.0ms (4%)

Memory
-38.6MiB live, 100.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary32)
00-0-(*.f32 ux maxCos)
00-0-maxCos
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(-.f32 #s(literal 1 binary32) ux)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms504×0valid
1.0ms8×1valid
Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.2% of total)
ival-add: 3.0ms (28.6% of total)
ival-sub: 2.0ms (19.1% 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)

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)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize18.0ms (0.3%)

Memory
-10.7MiB live, 26.6MiB 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
12.0ms252×0valid
0.0ms4×1valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (48.2% of total)
ival-add: 1.0ms (16.1% of total)
ival-mult: 1.0ms (16.1% 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)

series3.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))>
#<alt (*.f32 ux maxCos)>
#<alt (-.f32 #s(literal 1 binary32) ux)>
Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
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))

rewrite282.0ms (3.9%)

Memory
20.1MiB live, 396.0MiB 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 ux maxCos)
(-.f32 #s(literal 1 binary32) ux)
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))
(+.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(+.f32 (*.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux) (*.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 #s(literal 1 binary32) (*.f32 ux maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32))
(fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux))))
(fma.f32 ux #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 ux (neg.f32 maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (+.f32 #s(literal 1 binary32) (neg.f32 maxCos)) #s(literal 1 binary32))
(fma.f32 ux (-.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(fma.f32 ux (*.f32 #s(literal 1 binary32) maxCos) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 ux (exp.f32 (log.f32 maxCos)) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 maxCos ux (+.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (*.f32 ux maxCos))) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 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))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(fma.f32 (*.f32 (fma.f32 ux ux (*.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos ux))) (fma.f32 ux (neg.f32 maxCos) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (*.f32 (*.f32 ux maxCos) (fma.f32 ux maxCos ux)))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 maxCos (neg.f32 ux)))
(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))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 ux maxCos))
(fma.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (*.f32 maxCos (neg.f32 ux)))
(fma.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 #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 maxCos (neg.f32 ux)))
(fma.f32 (+.f32 (neg.f32 maxCos) #s(literal 1 binary32)) ux #s(literal 1 binary32))
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(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 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 ux ux)) #s(literal 1 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (fma.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 ux #s(literal 1 binary32)))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (*.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux))))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))) (fma.f32 (*.f32 ux (*.f32 ux ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux ux #s(literal 1 binary32)))
(/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (exp.f32 (log1p.f32 (*.f32 ux (*.f32 ux ux)))) (exp.f32 (log1p.f32 (fma.f32 ux ux ux))))
(/.f32 (exp.f32 (log1p.f32 (neg.f32 (*.f32 ux ux)))) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))))) (exp.f32 (log.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)))) (exp.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) ux)))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(*.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))
(*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) ux))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) 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 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux (*.f32 ux ux)))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(*.f32 (exp.f32 (log1p.f32 (*.f32 ux (*.f32 ux ux)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 ux ux ux)))))
(*.f32 (exp.f32 (log1p.f32 (neg.f32 (*.f32 ux ux)))) (exp.f32 (neg.f32 (log1p.f32 ux))))

simplify264.0ms (3.6%)

Memory
5.3MiB live, 275.7MiB 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)))))
(* 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 (* -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))))
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)
(* 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 (* -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)

eval36.0ms (0.5%)

Memory
33.3MiB live, 69.9MiB allocated
Compiler

Compiled 8 109 to 762 computations (90.6% saved)

prune72.0ms (1%)

Memory
-28.6MiB live, 104.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3647371
Fresh000
Picked101
Done000
Total3657372
Accuracy
100.0%
Counts
372 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
▶99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶98.0%
(-.f32 #s(literal 1 binary32) ux)
99.5%
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (*.f32 ux maxCos))
▶98.4%
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
98.5%
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
▶73.2%
#s(literal 1 binary32)
Compiler

Compiled 274 to 140 computations (48.9% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize90.0ms (1.2%)

Memory
18.5MiB live, 93.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓accuracy98.9%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓accuracy98.8%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
✓accuracy98.7%
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
✓accuracy100.0%
(*.f32 ux maxCos)
✓accuracy100.0%
(neg.f32 ux)
✓accuracy99.8%
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
✓accuracy98.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy100.0%
(+.f32 #s(literal -1 binary32) maxCos)
✓accuracy99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Samples
47.0ms246×0valid
3.0ms10×1valid
Compiler

Compiled 139 to 25 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (37.9% of total)
ival-add: 7.0ms (29.5% of total)
ival-div: 3.0ms (12.6% of total)
ival-sub: 2.0ms (8.4% of total)
adjust: 1.0ms (4.2% of total)
ival-neg: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
11 → 168
Calls
Call 1
Inputs
#<alt (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))>
#<alt (+.f32 #s(literal -1 binary32) maxCos)>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))>
#<alt (fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))>
#<alt (neg.f32 ux)>
#<alt (*.f32 ux maxCos)>
#<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)))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))>
Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt -1>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt maxCos>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt maxCos>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux)))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* 2 ux))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 (* -1 ux))))>
#<alt (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))>
Calls

42 calls:

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

rewrite462.0ms (6.4%)

Memory
9.8MiB live, 711.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 070×lower-fma.f64
7 064×lower-fma.f32
5 058×lower-/.f64
5 054×lower-/.f32
4 244×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01880
03554
116454
2144554
0858552
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 1 368
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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(neg.f32 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 #s(literal 1 binary32) ux))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
Outputs
(+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (neg.f32 ux) (fma.f32 ux maxCos #s(literal 1 binary32)))
(+.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 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)))
(fma.f32 ux 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 (-.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 #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 #s(literal 1 binary32) (-.f32 ux (*.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))) (/.f32 (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 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal 1 binary32) (-.f32 ux (*.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 #s(literal 1 binary32) (-.f32 ux (*.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 (-.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 #s(literal 1 binary32) (-.f32 ux (*.f32 ux (fma.f32 ux ux ux)))) (*.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 #s(literal 1 binary32) (-.f32 ux (*.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 #s(literal 1 binary32) (-.f32 ux (*.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 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (+.f32 ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 ux (*.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 #s(literal 1 binary32) (-.f32 ux (*.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 #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)) (/.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) (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) ux))) (*.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 (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 (+.f32 #s(literal 1 binary32) (-.f32 ux (*.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 #s(literal 1 binary32) (-.f32 ux (*.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 (+.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 #s(literal 1 binary32) (-.f32 ux (*.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))
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(*.f32 (*.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 #s(literal 1 binary32) (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))))) (/.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 (*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
(*.f32 (/.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux ux #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux (fma.f32 ux ux ux)))) (+.f32 ux #s(literal 1 binary32))))

simplify396.0ms (5.5%)

Memory
-26.8MiB live, 517.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 548×lower-fma.f64
14 548×lower-fma.f32
3 258×lower-*.f64
3 258×lower-*.f32
2 678×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132969
1411923
21211896
33965868
47650868
08206811
Stop Event
1×iter limit
1×node limit
Counts
168 → 166
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 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(/ 1 ux)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/ 1 ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
1
(+ 1 (* ux (- 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 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
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)))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
1
(+ 1 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)))))
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 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) ux)) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 ux ux)))) ux)
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 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(+ (* -1 (/ (pow ux 2) (+ 1 ux))) (+ (* maxCos ux) (/ 1 (+ 1 ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(* maxCos (+ ux (+ (* -1 (/ (pow ux 2) (* maxCos (+ 1 ux)))) (/ 1 (* maxCos (+ 1 ux))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* -1 (/ (pow ux 2) (+ 1 ux))) (/ 1 (+ 1 ux))) maxCos)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (*.f32 ux maxCos))
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* -1 ux)
(neg.f32 ux)
(* 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 (* -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))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(*.f32 ux (*.f32 ux (neg.f32 ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(*.f32 (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))
(*.f32 ux (*.f32 ux (neg.f32 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))

eval203.0ms (2.8%)

Memory
11.1MiB live, 352.0MiB allocated
Compiler

Compiled 55 419 to 3 653 computations (93.4% saved)

prune261.0ms (3.6%)

Memory
0.6MiB live, 447.0MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1 55551 560
Fresh202
Picked235
Done000
Total1 55981 567
Accuracy
100.0%
Counts
1 567 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶96.7%
(/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
▶96.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
▶96.9%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓98.0%
(-.f32 #s(literal 1 binary32) ux)
▶98.6%
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
▶96.9%
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
✓73.2%
#s(literal 1 binary32)
Compiler

Compiled 199 to 122 computations (38.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize161.0ms (2.2%)

Memory
-1.6MiB live, 186.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
✓accuracy99.4%
(*.f32 ux (fma.f32 ux ux ux))
✓accuracy98.8%
(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓accuracy98.8%
(/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))
✓accuracy100.0%
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
✓accuracy99.2%
(*.f32 ux (*.f32 ux ux))
✓accuracy98.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
✓accuracy100.0%
(+.f32 ux #s(literal 1 binary32))
✓accuracy100.0%
(neg.f32 ux)
✓accuracy99.8%
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
✓accuracy98.8%
(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) ux)
✓accuracy99.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
✓accuracy98.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓accuracy100.0%
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
✓accuracy99.7%
(-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))
✓accuracy98.9%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
✓accuracy98.8%
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
Samples
101.0ms246×0valid
9.0ms10×5exit
Compiler

Compiled 253 to 39 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 36.0ms (51.3% of total)
ival-add: 12.0ms (17.1% of total)
ival-div: 10.0ms (14.3% of total)
ival-sub: 5.0ms (7.1% of total)
ival-neg: 4.0ms (5.7% of total)
adjust: 3.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
31.1MiB live, 31.1MiB allocated
Counts
19 → 240
Calls
Call 1
Inputs
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux)))>
#<alt (+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))>
#<alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))>
#<alt (-.f32 #s(literal 1 binary32) ux)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))>
#<alt (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))>
#<alt (neg.f32 ux)>
#<alt (+.f32 ux #s(literal 1 binary32))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))>
#<alt (*.f32 ux (*.f32 ux ux))>
#<alt (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))>
#<alt (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))>
#<alt (/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))>
#<alt (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))>
#<alt (*.f32 ux (fma.f32 ux ux ux))>
#<alt (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 (* -1 ux))))>
#<alt (+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))>
#<alt (* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))>
#<alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))>
#<alt (- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))>
#<alt (* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)>
#<alt (/ -1 ux)>
#<alt (* -1 (/ (+ 1 (/ 1 ux)) ux))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt (* -1 ux)>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* 2 ux))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt -1>
#<alt (- (* -1 ux) 1)>
#<alt (- (* ux (- ux 1)) 1)>
#<alt (- (* ux (- (* ux (+ 1 ux)) 1)) 1)>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))>
#<alt (* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))>
#<alt (* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))>
Calls

60 calls:

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

rewrite541.0ms (7.5%)

Memory
-4.7MiB live, 877.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 730×lower-fma.f64
7 722×lower-fma.f32
4 494×lower-/.f64
4 482×lower-/.f32
3 342×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033172
065135
1321132
22767132
09995126
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 1 724
Calls
Call 1
Inputs
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux 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))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(/.f32 #s(literal 1 binary32) (+.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))))
(neg.f32 ux)
(+.f32 ux #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 ux (*.f32 ux ux))
(-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux)))
(fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (*.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 ux (fma.f32 ux ux ux))
(-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
Outputs
(neg.f32 (/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)))) #s(literal -1 binary32)))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(pow.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 (+.f32 ux #s(literal 2 binary32)) (+.f32 ux #s(literal 2 binary32)))) #s(literal 1 binary32))) (fma.f32 ux (*.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux (+.f32 ux #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 ux #s(literal 2 binary32))))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 ux (+.f32 ux #s(literal 2 binary32))) (*.f32 ux (+.f32 ux #s(literal 2 binary32))) #s(literal -1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (neg.f32 (*.f32 ux (fma.f32 ux ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 0 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (neg.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 (/.f32 (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))) (neg.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))))
(-.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 (/.f32 (*.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (neg.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))))
(-.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal 0 binary32)) (neg.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
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(neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(exp.f32 (log1p.f32 (neg.f32 ux)))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 ux)) #s(literal 1 binary32)))
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(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (-.f32 ux (*.f32 ux (fma.f32 ux ux ux)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (neg.f32 (-.f32 ux (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))))) (*.f32 #s(literal -1 binary32) (neg.f32 (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))))))))
(/.f32 (+.f32 (pow.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) #s(literal 0 binary32)) #s(literal 3 binary32)) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))) (fma.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) #s(literal 0 binary32)) (-.f32 (-.f32 #s(literal -1 binary32) ux) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) ux) #s(literal 0 binary32)) (*.f32 ux (fma.f32 ux ux ux))))))
(/.f32 (fma.f32 ux (*.f32 ux ux) (pow.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) #s(literal 3 binary32))) (fma.f32 ux ux (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))) (*.f32 ux (+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))))))
(/.f32 (fma.f32 ux (*.f32 ux ux) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) #s(literal 3 binary32))) (fma.f32 ux ux (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux))) (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 ux (fma.f32 ux ux ux)))))))
(/.f32 (fma.f32 (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))) (*.f32 (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))) (-.f32 ux (*.f32 ux (fma.f32 ux ux ux)))) #s(literal 1 binary32)) (fma.f32 (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))) (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (neg.f32 (-.f32 #s(literal -1 binary32) ux)) #s(literal 3 binary32)) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))) (fma.f32 (neg.f32 (-.f32 #s(literal -1 binary32) ux)) (neg.f32 (-.f32 #s(literal -1 binary32) ux)) (-.f32 (*.f32 (*.f32 ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (neg.f32 (-.f32 #s(literal -1 binary32) ux)) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))))))
(*.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)))
(*.f32 (*.f32 (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))))
(*.f32 (*.f32 (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))))

simplify323.0ms (4.5%)

Memory
-48.4MiB live, 624.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 708×lower-fma.f64
12 708×lower-fma.f32
4 104×lower-*.f64
4 104×lower-*.f32
1 852×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01601597
15021482
215451442
352881442
083651322
Stop Event
1×iter limit
1×node limit
Counts
240 → 238
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))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(* (pow ux 3) (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 ux))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(* maxCos ux)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/ -1 ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
1
(+ 1 (* -1 ux))
(+ 1 (* ux (- ux 1)))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(/ 1 ux)
(/ (- 1 (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/ 1 ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 ux)
(* -1 ux)
(* -1 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 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* -1 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
(pow ux 3)
1
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(+ 1 (* -1 (pow ux 3)))
(* -1 (pow ux 3))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
1
(+ 1 (* -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)))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
-1
(- (* -1 ux) 1)
(- (* ux (- ux 1)) 1)
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) 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)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- (* -1 ux) 1)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (+ 1 (/ 1 ux))))
(neg.f32 (*.f32 ux (fma.f32 ux ux ux)))
(* (pow ux 3) (- (/ 1 (pow ux 2)) (+ 1 (/ 1 ux))))
(fma.f32 (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))))
(neg.f32 (*.f32 ux (fma.f32 ux ux ux)))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (/ 1 ux) 1) ux)))))
(fma.f32 (neg.f32 ux) (fma.f32 ux ux ux) ux)
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- (+ (/ 1 ux) (/ 1 (pow ux 2))) 1) ux)))))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- maxCos 1))
(fma.f32 ux maxCos (neg.f32 ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux maxCos (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(-.f32 (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 ux (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(- (+ (* maxCos ux) (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux)))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux)))))
(fma.f32 ux (-.f32 maxCos (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(*.f32 maxCos (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux maxCos) maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux maxCos) maxCos)) (/.f32 ux (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux maxCos) maxCos)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(*.f32 maxCos (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux maxCos) maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux maxCos) maxCos)) (/.f32 ux (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux maxCos) maxCos)))))
(* maxCos (- (+ ux (+ (/ 1 (* maxCos (+ 1 (* ux (+ 2 ux))))) (/ ux (* maxCos (+ 1 (* ux (+ 2 ux))))))) (/ (* (pow ux 2) (+ 1 ux)) (* maxCos (+ 1 (* ux (+ 2 ux)))))))
(*.f32 maxCos (fma.f32 ux (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux maxCos) maxCos))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux maxCos) maxCos)) (/.f32 ux (fma.f32 (+.f32 ux #s(literal 2 binary32)) (*.f32 ux maxCos) maxCos)))))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 ux (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 ux (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (+ (/ 1 (+ 1 (* ux (+ 2 ux)))) (/ ux (+ 1 (* ux (+ 2 ux))))) (/ (* (pow ux 2) (+ 1 ux)) (+ 1 (* ux (+ 2 ux))))) maxCos)))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 ux (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (fma.f32 ux (/.f32 (fma.f32 ux ux ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))) (*.f32 ux maxCos))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 ux)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+ 1 (* ux (+ 1 (* ux (+ 1 ux)))))
(*.f32 (fma.f32 ux ux #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)
(/ (- (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (+ 1 (/ 1 ux))) ux)
(/.f32 (-.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(/ -1 ux)
(/.f32 #s(literal -1 binary32) ux)
(* -1 (/ (+ 1 (/ 1 ux)) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)
(* -1 (/ (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))) ux))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux)) ux)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 ux)) ux)) 1) ux))) ux))
(/.f32 (-.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux)) ux) ux) #s(literal 1 binary32)) (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (- ux 1)))
(fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))
(+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))
(fma.f32 ux (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(/ (- 1 (/ 1 ux)) ux)
(/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))) ux)
(/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(* -1 (/ (- (/ 1 ux) 1) ux))
(/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))) ux)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -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 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(+ 1 (* -1 (pow ux 3)))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* (pow ux 3) (- (/ 1 (pow ux 3)) 1))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (pow ux 3))
(neg.f32 (*.f32 ux (*.f32 ux ux)))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
(* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))
(fma.f32 ux (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 (* ux (+ 1 ux)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+ 1 (* ux (+ 1 ux)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(fma.f32 ux ux ux)
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* 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))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* ux (- ux 1)) 1)
(fma.f32 ux ux (-.f32 #s(literal -1 binary32) ux))
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) 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)) (/ 1 (pow ux 2))))
(fma.f32 ux (fma.f32 ux ux ux) (neg.f32 ux))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(fma.f32 ux (fma.f32 ux ux ux) (neg.f32 ux))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
(fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))

eval281.0ms (3.9%)

Memory
42.9MiB live, 418.7MiB allocated
Compiler

Compiled 64 913 to 4 591 computations (92.9% saved)

prune390.0ms (5.4%)

Memory
-28.8MiB live, 534.5MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2 30022 302
Fresh000
Picked235
Done033
Total2 30282 310
Accuracy
100.0%
Counts
2 310 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶96.7%
(/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))
▶96.8%
(/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
✓96.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
✓96.9%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓98.0%
(-.f32 #s(literal 1 binary32) ux)
✓96.9%
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
✓73.2%
#s(literal 1 binary32)
Compiler

Compiled 103 to 68 computations (34% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize76.0ms (1%)

Memory
5.9MiB live, 119.6MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) ux)
✓accuracy99.6%
(fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))
✓accuracy98.8%
(*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))
✓accuracy98.7%
(/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))
✓accuracy100.0%
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
✓accuracy99.6%
(-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
✓accuracy99.3%
(*.f32 ux (fma.f32 ux ux ux))
✓accuracy98.7%
(/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
Samples
34.0ms246×0valid
2.0ms10×1valid
Compiler

Compiled 136 to 25 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 10.0ms (39.5% of total)
ival-mult: 6.0ms (23.7% of total)
ival-div: 3.0ms (11.9% of total)
ival-neg: 3.0ms (11.9% of total)
ival-sub: 2.0ms (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
5.6MiB live, 5.6MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))>
#<alt (*.f32 ux (fma.f32 ux ux ux))>
#<alt (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))>
#<alt (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))>
#<alt (/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))>
#<alt (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))>
#<alt (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))>
#<alt (+.f32 #s(literal 1 binary32) ux)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (* (pow ux 2) (+ 1 ux))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt -1>
#<alt (- (* -1 ux) 1)>
#<alt (- (* ux (- ux 1)) 1)>
#<alt (- (* ux (- (* ux (+ 1 ux)) 1)) 1)>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))>
#<alt (* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))>
#<alt (* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))>
#<alt 1>
#<alt (+ 1 (* 2 ux))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (+ 1 (* ux (+ 2 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt -1>
#<alt (- (* -2 ux) 1)>
#<alt (- (* ux (- (* -1 ux) 2)) 1)>
#<alt (- (* ux (- (* -1 ux) 2)) 1)>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))>
#<alt (* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))>
#<alt -1>
#<alt (- (* -1 ux) 1)>
#<alt (- (* ux (- ux 1)) 1)>
#<alt (- (* ux (- (* ux (+ 1 ux)) 1)) 1)>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))>
#<alt (* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))>
#<alt (pow ux 3)>
#<alt (* (pow ux 3) (+ 1 (/ 1 ux)))>
#<alt (* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))>
#<alt (* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
Calls

24 calls:

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

rewrite419.0ms (5.8%)

Memory
1.0MiB live, 961.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 308×lower-/.f64
5 304×lower-/.f32
3 490×lower-fma.f64
3 484×lower-fma.f32
3 430×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01980
03683
118173
2174773
0826873
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 1 351
Calls
Call 1
Inputs
(/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(*.f32 ux (fma.f32 ux ux ux))
(-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux))))
(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
(/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))
(fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))
(+.f32 #s(literal 1 binary32) ux)
Outputs
(neg.f32 (/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(pow.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 (-.f32 #s(literal -1 binary32) ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
(-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 ux (fma.f32 ux ux ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (+.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux))) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux (fma.f32 ux ux ux))) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 ux (*.f32 ux (fma.f32 ux ux ux))) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))))
(-.f32 (/.f32 (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))) (/.f32 ux (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))) (/.f32 (/.f32 (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux))))) (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux))) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))) (/.f32 (/.f32 (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux)))) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux))) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux)))) (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux)))) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))) (/.f32 (/.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux)))) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32)) (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))) (/.f32 (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux))))) (*.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32)) (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) 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 #s(literal 1 binary32))) (*.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)))) (/.f32 (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)))))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32))) (*.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (fma.f32 (+.f32 ux #s(literal 2 binary32)) (neg.f32 ux) #s(literal -1 binary32)) (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux))) (*.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))))
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(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (fma.f32 ux ux (neg.f32 ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux (neg.f32 ux)))))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux (neg.f32 ux))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux))) (*.f32 #s(literal 0 binary32) (*.f32 ux (fma.f32 ux ux ux)))))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux)))))))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 #s(literal 0 binary32) (fma.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux))) (*.f32 #s(literal 0 binary32) (*.f32 ux (fma.f32 ux ux ux)))))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 #s(literal 0 binary32) (*.f32 ux (fma.f32 ux ux ux)))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux))))))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 #s(literal 0 binary32) (*.f32 ux (fma.f32 ux ux ux)))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux (-.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux))))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 (neg.f32 ux) (fma.f32 ux (*.f32 ux ux) (*.f32 (*.f32 ux ux) (*.f32 ux (*.f32 ux (*.f32 ux ux)))))))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (-.f32 ux (*.f32 ux ux)) (*.f32 ux (*.f32 ux (*.f32 ux ux))))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (fma.f32 ux ux (neg.f32 ux))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux (neg.f32 ux)))))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux (neg.f32 ux))))
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 ux (fma.f32 ux ux ux)) (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux))))))) (*.f32 (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux))) (*.f32 (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux)))))) (*.f32 (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux))))
(/.f32 (-.f32 (*.f32 (*.f32 ux (*.f32 (fma.f32 ux ux ux) (*.f32 ux (fma.f32 ux ux ux)))) (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux)))) (*.f32 (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (*.f32 (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux))) (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))))) (neg.f32 (neg.f32 (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))))) (neg.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (*.f32 ux (*.f32 ux (fma.f32 ux ux ux))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux)))))) (neg.f32 (neg.f32 (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32)) (*.f32 (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 ux (*.f32 ux ux)))) (neg.f32 (fma.f32 (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32)) ux)))))
(/.f32 (neg.f32 (-.f32 (*.f32 (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32))) (*.f32 ux ux))) (neg.f32 (+.f32 (fma.f32 ux (fma.f32 ux ux ux) #s(literal -1 binary32)) ux)))
(*.f32 #s(literal -1 binary32) (-.f32 (+.f32 ux #s(literal 1 binary32)) (*.f32 ux (fma.f32 ux ux ux))))
(*.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux)) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))))
(*.f32 (fma.f32 (*.f32 ux (*.f32 ux ux)) (*.f32 (fma.f32 ux ux ux) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (*.f32 ux (*.f32 ux (fma.f32 ux ux ux))) (*.f32 (-.f32 #s(literal -1 binary32) ux) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux))))))
(*.f32 (*.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux ux) (neg.f32 (-.f32 #s(literal -1 binary32) ux)))))
(*.f32 (*.f32 (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (*.f32 (-.f32 #s(literal -1 binary32) ux) ux) (-.f32 #s(literal -1 binary32) ux))))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) ux)
(pow.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux #s(literal -1 binary32)))))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (neg.f32 (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 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (neg.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.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 #s(literal -1 binary32))) (*.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.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 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32)))) (neg.f32 (neg.f32 (+.f32 ux #s(literal -1 binary32)))))
(*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))

simplify249.0ms (3.4%)

Memory
15.2MiB live, 485.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 382×lower-fma.f64
10 382×lower-fma.f32
2 866×lower-*.f64
2 866×lower-*.f32
1 618×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073528
1206502
2562476
32209448
46415448
08251409
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
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))))
(pow ux 2)
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(* (pow ux 2) (+ 1 ux))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (+ 1 (/ 1 ux)))
-1
(- (* -1 ux) 1)
(- (* ux (- ux 1)) 1)
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
1
(+ 1 (* 2 ux))
(+ 1 (* ux (+ 2 ux)))
(+ 1 (* ux (+ 2 ux)))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(pow ux 2)
(* (pow ux 2) (+ 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (* 2 (/ 1 ux)) (/ 1 (pow ux 2)))))
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
(- (* -2 ux) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(- (* ux (- (* -1 ux) 2)) 1)
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* -1 (pow ux 2))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
-1
(- (* -1 ux) 1)
(- (* ux (- ux 1)) 1)
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(pow ux 3)
(* (pow ux 3) (+ 1 (/ 1 ux)))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
1
(+ 1 ux)
(+ 1 ux)
(+ 1 ux)
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
ux
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
(* ux (+ 1 (/ 1 ux)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 2) (+ 1 ux))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* ux (- ux 1)) 1)
(fma.f32 ux ux (-.f32 #s(literal -1 binary32) ux))
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(fma.f32 ux (fma.f32 ux ux ux) (neg.f32 ux))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(fma.f32 ux (fma.f32 ux ux ux) (neg.f32 ux))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #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 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)
(- (* -2 ux) 1)
(fma.f32 ux #s(literal -2 binary32) #s(literal -1 binary32))
(- (* ux (- (* -1 ux) 2)) 1)
(fma.f32 ux (-.f32 #s(literal -2 binary32) ux) #s(literal -1 binary32))
(- (* ux (- (* -1 ux) 2)) 1)
(fma.f32 ux (-.f32 #s(literal -2 binary32) ux) #s(literal -1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(*.f32 ux (-.f32 #s(literal -2 binary32) ux))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -2 binary32) ux) #s(literal -1 binary32))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -2 binary32) ux) #s(literal -1 binary32))
(* -1 (pow ux 2))
(*.f32 ux (neg.f32 ux))
(* -1 (* (pow ux 2) (+ 1 (* 2 (/ 1 ux)))))
(*.f32 ux (-.f32 #s(literal -2 binary32) ux))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -2 binary32) ux) #s(literal -1 binary32))
(* (pow ux 2) (- (* -1 (/ (+ 2 (/ 1 ux)) ux)) 1))
(fma.f32 ux (-.f32 #s(literal -2 binary32) ux) #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(- (* -1 ux) 1)
(-.f32 #s(literal -1 binary32) ux)
(- (* ux (- ux 1)) 1)
(fma.f32 ux ux (-.f32 #s(literal -1 binary32) ux))
(- (* ux (- (* ux (+ 1 ux)) 1)) 1)
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* (pow ux 3) (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 2))))
(fma.f32 ux (fma.f32 ux ux ux) (neg.f32 ux))
(* (pow ux 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2))) (/ 1 ux))))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
(pow ux 3)
(*.f32 ux (*.f32 ux ux))
(* (pow ux 3) (+ 1 (/ 1 ux)))
(*.f32 ux (fma.f32 ux ux ux))
(* -1 (* (pow ux 3) (- (* -1 (/ (- 1 (/ 1 ux)) ux)) 1)))
(fma.f32 ux (fma.f32 ux ux ux) (neg.f32 ux))
(* -1 (* (pow ux 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) ux))) ux)) 1)))
(*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal -1 binary32)))
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
(+ 1 ux)
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
ux
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)
(* ux (+ 1 (/ 1 ux)))
(+.f32 #s(literal 1 binary32) ux)

eval270.0ms (3.7%)

Memory
5.8MiB live, 326.0MiB allocated
Compiler

Compiled 81 389 to 3 831 computations (95.3% saved)

prune256.0ms (3.5%)

Memory
-22.0MiB live, 503.0MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1 44411 445
Fresh000
Picked202
Done066
Total1 44671 453
Accuracy
100.0%
Counts
1 453 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
96.8%
(/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal -2 binary32) ux) #s(literal -1 binary32)))
✓96.9%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
✓96.9%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓98.0%
(-.f32 #s(literal 1 binary32) ux)
✓96.9%
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
✓73.2%
#s(literal 1 binary32)
Compiler

Compiled 333 to 122 computations (63.4% saved)

regimes21.0ms (0.3%)

Memory
35.7MiB live, 35.7MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux ux))) (fma.f32 ux (+.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal -2 binary32) ux) #s(literal -1 binary32)))
(/.f32 (fma.f32 ux (fma.f32 ux ux ux) (-.f32 #s(literal -1 binary32) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux)))
(/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) (neg.f32 (*.f32 ux (fma.f32 ux ux ux)))) (neg.f32 (*.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))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 ux maxCos))
(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (*.f32 ux maxCos))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux (*.f32 ux (*.f32 ux ux)))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (*.f32 ux maxCos))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (*.f32 ux (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))) (*.f32 ux maxCos))
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
Calls

4 calls:

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

Compiled 22 to 16 computations (27.3% saved)

regimes22.0ms (0.3%)

Memory
-23.8MiB live, 14.8MiB 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:

17.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
maxCos
2.0ms
uy
2.0ms
ux
Results
AccuracySegmentsBranch
98.0%1ux
98.0%1uy
98.0%1maxCos
98.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
maxCos
1.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms
uy
1.0ms
ux
Results
AccuracySegmentsBranch
73.2%1ux
73.2%1uy
73.2%1maxCos
73.2%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
9.4MiB live, 9.4MiB 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
0710
11310
21610
31810
41910
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
Outputs
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

soundness591.0ms (8.2%)

Memory
-18.4MiB live, 211.1MiB allocated
Rules
5 750×lower-fma.f64
5 750×lower-fma.f32
5 316×lower-fma.f64
5 316×lower-fma.f32
4 062×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039250
1110250
2306250
3852250
42100250
53316250
64299250
75328250
86757250
97301250
107633250
117955250
08006232
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
Compiler

Compiled 32 to 24 computations (25% saved)

preprocess35.0ms (0.5%)

Memory
0.4MiB live, 77.4MiB allocated
Remove

(abs uy)

Compiler

Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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