Linear.Quaternion:$ccos from linear-1.19.1.3

Time bar (total: 2.9s)

analyze21.0ms (0.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample2.0s (69.4%)

Results
611.0ms966×body1024infinite
462.0ms2703×body256valid
358.0ms2526×body256infinite
321.0ms1033×body1024valid
111.0ms512×body512valid
105.0ms514×body512infinite
1.0msbody2048valid
Bogosity

preprocess119.0ms (4.1%)

Algorithm
egg-herbie
Rules
954×associate-/r*
908×associate-/l*
880×fma-neg
804×associate-*r/
640×associate-*r*
Problems
256×No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023154
155154
2130154
3395154
41559154
56320154
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sin.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (sin.f64 x)))
(/.f64 (sinh.f64 y) (/.f64 (neg.f64 y) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x))
(*.f64 (sinh.f64 x) (/.f64 (sin.f64 y) x))
Symmetry

(abs y)

Compiler

Compiled 29 to 13 computations (55.2% saved)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
100.0%
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize299.0ms (10.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 y (sinh.f64 y))
Compiler

Compiled 20 to 7 computations (65% saved)

series4.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/.f64 y (sinh.f64 y))
2.0ms
y
@inf
(/.f64 y (sinh.f64 y))
1.0ms
y
@0
(/.f64 y (sinh.f64 y))

rewrite122.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
552×unpow-prod-down
388×cbrt-prod
384×log-prod
378×log1p-expm1-u
378×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
17417
298917
Stop Event
node limit
Counts
1 → 64
Calls
Call 1
Inputs
(/.f64 y (sinh.f64 y))
Outputs
(+.f64 0 (/.f64 y (sinh.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (sinh.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
(-.f64 (+.f64 1 (/.f64 y (sinh.f64 y))) 1)
(*.f64 y (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 (/.f64 y (sinh.f64 y)) (log.f64 (E.f64)))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(*.f64 1 (/.f64 y (sinh.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(*.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 (/.f64 1 y) -1))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 y (*.f64 2 (sinh.f64 y))) 2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 y (sinh.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) y) 1/3) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) -1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) -2) -1) (pow.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 y -1/2) -1) (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (pow.f64 y 2))) -1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) y)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 y (sinh.f64 y))))
(pow.f64 (/.f64 (/.f64 (sinh.f64 y) y) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (sinh.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 y (sinh.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (log.f64 (/.f64 y (sinh.f64 y)))))
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 y) 3) (pow.f64 (neg.f64 (sinh.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) -1))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))

simplify82.0ms (2.8%)

Algorithm
egg-herbie
Rules
868×times-frac
862×associate-*r/
816×fma-def
746×unswap-sqr
722×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02213346
15292062
215662012
378662012
Stop Event
node limit
Counts
76 → 96
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -31/15120 (pow.f64 y 6)) (*.f64 7/360 (pow.f64 y 4)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(+.f64 0 (/.f64 y (sinh.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (sinh.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
(-.f64 (+.f64 1 (/.f64 y (sinh.f64 y))) 1)
(*.f64 y (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 (/.f64 y (sinh.f64 y)) (log.f64 (E.f64)))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(*.f64 1 (/.f64 y (sinh.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(*.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 (/.f64 1 y) -1))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 y (*.f64 2 (sinh.f64 y))) 2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 y (sinh.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) y) 1/3) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) -1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) -2) -1) (pow.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 y -1/2) -1) (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (pow.f64 y 2))) -1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) y)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 y (sinh.f64 y))))
(pow.f64 (/.f64 (/.f64 (sinh.f64 y) y) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (sinh.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 y (sinh.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (log.f64 (/.f64 y (sinh.f64 y)))))
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 y) 3) (pow.f64 (neg.f64 (sinh.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) -1))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (pow.f64 y 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (pow.f64 y 2) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 2) 1) (*.f64 7/360 (pow.f64 y 4)))
(fma.f64 -1/6 (pow.f64 y 2) (fma.f64 7/360 (pow.f64 y 4) 1))
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(+.f64 1 (fma.f64 -1/6 (pow.f64 y 2) (fma.f64 -31/15120 (pow.f64 y 6) (*.f64 7/360 (pow.f64 y 4)))))
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(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
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(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(*.f64 (/.f64 1 (sinh.f64 y)) y)
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(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 y (sqrt.f64 (sinh.f64 y))))
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(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
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(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
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(*.f64 (/.f64 y (*.f64 2 (sinh.f64 y))) 2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) 3))
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(*.f64 (pow.f64 1 1/3) (/.f64 y (sinh.f64 y)))
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(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) y) 1/3) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (*.f64 y (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) -1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 1) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(/.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) -2) -1) (pow.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) -1))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (pow.f64 y -1/2) -1) (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) -1))
(*.f64 (/.f64 1 (pow.f64 y -1/2)) (/.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) 1) (pow.f64 y -1/2))
(/.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (pow.f64 y -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) y) -1))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (pow.f64 y 2))) -1) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (pow.f64 y 2)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 1) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (pow.f64 y 2))))
(/.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) (pow.f64 y 2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) -1))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) -1))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) -1))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) -1) (pow.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 y)) -1))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) y)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (*.f64 y (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) 1/2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (E.f64) (log.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (/.f64 (/.f64 (sinh.f64 y) y) 1) -1)
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (sinh.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 y (sinh.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (log.f64 (/.f64 y (sinh.f64 y)))))
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 y) 3) (pow.f64 (neg.f64 (sinh.f64 y)) 3)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) 3))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) 2))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) -1))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))

eval23.0ms (0.8%)

Compiler

Compiled 1406 to 619 computations (56% saved)

prune17.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh000
Picked011
Done000
Total95297
Accuracy
100.0%
Counts
97 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
54.5%
(/.f64 (sin.f64 x) 1)
100.0%
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
54.5%
(/.f64 (sin.f64 x) 1)
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize48.0ms (1.7%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
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StatusAccuracyProgram
100.0%
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
54.5%
(/.f64 (sin.f64 x) 1)
Compiler

Compiled 35 to 21 computations (40% saved)

regimes16.0ms (0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

4.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
(sin.f64 x)
3.0ms
x
3.0ms
y
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(sin.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 45 to 27 computations (40% saved)

regimes10.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) 1)
Outputs
(/.f64 (sin.f64 x) 1)
Calls

3 calls:

3.0ms
x
3.0ms
(sin.f64 x)
3.0ms
y
Results
AccuracySegmentsBranch
54.5%1x
54.5%1y
54.5%1(sin.f64 x)
Compiler

Compiled 16 to 12 computations (25% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp
/-rgt-identity
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
11738
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) 1)
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) 1)
(sin.f64 x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness96.0ms (3.3%)

Rules
954×associate-/r*
908×associate-/l*
880×fma-neg
804×associate-*r/
640×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023154
155154
2130154
3395154
41559154
56320154
Stop Event
node limit
Compiler

Compiled 23 to 10 computations (56.5% saved)

end0.0ms (0%)

preprocess26.0ms (0.9%)

Remove

(abs y)

Compiler

Compiled 58 to 36 computations (37.9% saved)

Profiling

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