Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

Time bar (total: 2.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample670.0ms (32.4%)

Results
506.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-div: 86.0ms (50% of total)
ival-sub: 73.0ms (42.4% of total)
const: 11.0ms (6.4% of total)
backward-pass: 3.0ms (1.7% of total)
Bogosity

preprocess44.0ms (2.1%)

Algorithm
2×egg-herbie
Rules
300×fnmsub-define
298×fmsub-define
290×fnmadd-define
244×fmm-def
196×fnmadd-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01434
13332
28030
318124
449324
589424
6110024
7111224
055
175
2175
3265
4405
5764
61464
72464
83444
95194
106544
117134
127214
07214
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- x (/ y 4))
Outputs
(- x (/ y 4))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Call 2
Inputs
(- x (/ y 4))
(- (neg x) (/ y 4))
(- x (/ (neg y) 4))
(neg (- (neg x) (/ y 4)))
(neg (- x (/ (neg y) 4)))
(- y (/ x 4))
Outputs
(- x (/ y 4))
(fma y -1/4 x)
(- (neg x) (/ y 4))
(fnmsub y 1/4 x)
(- x (/ (neg y) 4))
(fma y 1/4 x)
(neg (- (neg x) (/ y 4)))
(fma y 1/4 x)
(neg (- x (/ (neg y) 4)))
(fnmsub y 1/4 x)
(- y (/ x 4))
(fma x -1/4 y)

explain115.0ms (5.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-y
00-0-(-.f64 x (/.f64 y #s(literal 4 binary64)))
Results
94.0ms512×0valid
Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (44.7% of total)
ival-sub: 4.0ms (44.7% of total)
const: 1.0ms (11.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify56.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y #s(literal 4 binary64))
✓cost-diff0
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Rules
196×fnmadd-define
150×sum3-define
136×fnmsub-define
136×fmsub-define
128×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0511
1711
21711
32611
44011
57610
614610
724610
834410
951910
1065410
1171310
1272110
072110
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- x (/ y 4))
x
(/ y 4)
y
4
Outputs
(- x (/ y 4))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/ y 4)
(/.f64 y #s(literal 4 binary64))
y
4
#s(literal 4 binary64)

localize135.0ms (6.6%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y #s(literal 4 binary64))
✓accuracy100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Results
130.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43% of total)
ival-sub: 2.0ms (43% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (- x (/ y 4))>
#<alt (/ y 4)>
Outputs
#<alt (* -1/4 y)>
#<alt (- x (* 1/4 y))>
#<alt (- x (* 1/4 y))>
#<alt (- x (* 1/4 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt (* x (+ 1 (* -1/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt (+ x (* -1/4 y))>
#<alt (* -1/4 y)>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* y (- (/ x y) 1/4))>
#<alt (* -1/4 y)>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/4 (* -1 (/ x y)))))>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
#<alt (* 1/4 y)>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/ y 4)
0.0ms
y
@inf
(- x (/ y 4))
0.0ms
x
@inf
(- x (/ y 4))
0.0ms
y
@0
(- x (/ y 4))
0.0ms
y
@inf
(/ y 4)

rewrite308.0ms (14.9%)

Algorithm
1×batch-egg-rewrite
Rules
3186×*-lowering-*.f32
3186×*-lowering-*.f64
1548×/-lowering-/.f32
1548×/-lowering-/.f64
1266×unpow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058
1308
22547
343017
084127
Stop Event
1×iter limit
1×node limit
Counts
2 → 113
Calls
Call 1
Inputs
(- x (/ y 4))
(/ y 4)
Outputs
(+.f64 x (/.f64 y #s(literal -4 binary64)))
(+.f64 (/.f64 y #s(literal -4 binary64)) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 4 binary64))))) #s(literal -1 binary64)))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal 4 binary64)) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 y #s(literal 4 binary64)))
(fma.f64 x #s(literal 1 binary64) (/.f64 y #s(literal -4 binary64)))
(fma.f64 x (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/4 binary64) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 y #s(literal -4 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 4 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (*.f64 x x)))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal -4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y)))) (-.f64 x (/.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) y))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y))) (+.f64 (/.f64 y #s(literal -4 binary64)) (neg.f64 x))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 16 binary64) y))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (-.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal -4 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y))) (+.f64 x (/.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 4 binary64))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 16 binary64) y))) (+.f64 (/.f64 y #s(literal -4 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 262144 binary64))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/4096 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/4096 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 16 binary64) y)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 256 binary64))) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 16 binary64) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (/.f64 y (/.f64 #s(literal 16 binary64) y)))) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 262144 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/4096 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/4096 binary64) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 16 binary64) y))))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 256 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 16 binary64) y))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y))) #s(literal 1 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 16 binary64) y)))) (neg.f64 (+.f64 (/.f64 y #s(literal -4 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -4 binary64)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))) (*.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (*.f64 (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 262144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/4096 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/4096 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 16 binary64) y))))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 16 binary64) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (*.f64 (-.f64 x (/.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (/.f64 (-.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 4 binary64))))
(*.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x (/.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 16 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -4 binary64)) (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) y))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y))) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -16 binary64) y)))) (-.f64 x (/.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (*.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64)))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64)))) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (*.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 x (/.f64 y #s(literal 4 binary64))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal -4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 262144 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (/.f64 y #s(literal 4 binary64)) (+.f64 x (/.f64 y #s(literal 4 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/4096 binary64) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 1/4096 binary64) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 y (/.f64 #s(literal 16 binary64) y)) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 16 binary64) y)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 256 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 16 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -4 binary64)))
(neg.f64 (/.f64 y #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y))
(pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify120.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
2256×fnmadd-define
1614×fma-define
1120×*-lowering-*.f32
1120×*-lowering-*.f64
1112×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025138
170120
2187120
3552120
41613120
54131120
08139120
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -1/4 y)
(- x (* 1/4 y))
(- x (* 1/4 y))
(- x (* 1/4 y))
x
(* x (+ 1 (* -1/4 (/ y x))))
(* x (+ 1 (* -1/4 (/ y x))))
(* x (+ 1 (* -1/4 (/ y x))))
x
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
x
(+ x (* -1/4 y))
(+ x (* -1/4 y))
(+ x (* -1/4 y))
(* -1/4 y)
(* y (- (/ x y) 1/4))
(* y (- (/ x y) 1/4))
(* y (- (/ x y) 1/4))
(* -1/4 y)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
(* 1/4 y)
Outputs
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(- x (* 1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(- x (* 1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(- x (* 1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
x
(* x (+ 1 (* -1/4 (/ y x))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* x (+ 1 (* -1/4 (/ y x))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* x (+ 1 (* -1/4 (/ y x))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
x
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1 (* x (- (* 1/4 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
x
(+ x (* -1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(+ x (* -1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(+ x (* -1/4 y))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* y (- (/ x y) 1/4))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* y (- (/ x y) 1/4))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* y (- (/ x y) 1/4))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* -1 (* y (+ 1/4 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) y) x)
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))

eval15.0ms (0.7%)

Compiler

Compiled 3431 to 339 computations (90.1% saved)

prune24.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1472149
Fresh000
Picked011
Done000
Total1473150
Accuracy
100.0%
Counts
150 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
▶48.0%
(*.f64 #s(literal -1/4 binary64) y)
▶53.6%
x
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) y)
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
056
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
x
(* -1/4 y)
-1/4
y
Outputs
x
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
-1/4
#s(literal -1/4 binary64)
y

localize17.0ms (0.8%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) y)
Results
10.0ms256×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (80.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series0.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (* -1/4 y)>
Outputs
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
#<alt (* -1/4 y)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* -1/4 y)
0.0ms
y
@inf
(* -1/4 y)
0.0ms
y
@-inf
(* -1/4 y)

rewrite10.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
143
043
Stop Event
1×iter limit
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(* -1/4 y)
Outputs
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y #s(literal -1/4 binary64))

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1436
0436
Stop Event
1×iter limit
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
(* -1/4 y)
Outputs
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)
(* -1/4 y)
(*.f64 #s(literal -1/4 binary64) y)

eval1.0ms (0.1%)

Compiler

Compiled 44 to 5 computations (88.6% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh000
Picked022
Done011
Total14317
Accuracy
100.0%
Counts
17 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
✓48.0%
(*.f64 #s(literal -1/4 binary64) y)
✓53.6%
x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.6%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/4 binary64) y)
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Calls

4 calls:

5.0ms
(/.f64 y #s(literal 4 binary64))
3.0ms
(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 x (/.f64 y #s(literal 4 binary64)))
100.0%1(/.f64 y #s(literal 4 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/4 binary64) y)
Outputs
x
(*.f64 #s(literal -1/4 binary64) y)
x
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
78.8%3x
78.0%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

4.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
53.6%1y
53.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (1.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
8958407.71317688
4387589543.968237
14.0ms
-2.595035637807251e-73
-5.063212630901755e-98
Results
14.0ms304×0valid
Compiler

Compiled 202 to 161 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (44.7% of total)
ival-sub: 2.0ms (44.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
8×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01319
11919
22819
33419
43919
54119
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(if (<=.f64 x #s(literal -4058157609103859/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) x (if (<=.f64 x #s(literal 46000000 binary64)) (*.f64 #s(literal -1/4 binary64) y) x))
x
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(if (<=.f64 x #s(literal -4058157609103859/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) x (if (<=.f64 x #s(literal 46000000 binary64)) (*.f64 #s(literal -1/4 binary64) y) x))
(if (<=.f64 x #s(literal -4058157609103859/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) x (if (<=.f64 x #s(literal 46000000 binary64)) (*.f64 y #s(literal -1/4 binary64)) x))
x

soundness454.0ms (22%)

Rules
2256×fnmadd-define
1614×fma-define
1120×*-lowering-*.f32
1120×*-lowering-*.f64
1112×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025138
170120
2187120
3552120
41613120
54131120
08139120
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 32 to 21 computations (34.4% saved)

preprocess26.0ms (1.3%)

Compiler

Compiled 56 to 36 computations (35.7% saved)

end0.0ms (0%)

Profiling

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