Details

Time bar (total: 6.0s)

analyze171.0ms (2.9%)

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
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
37.5%37.5%62.4%0.1%0%0%0%7
37.5%37.5%62.4%0.1%0%0%0%8
50%43.7%43.7%0.1%12.5%0%0%9
50%43.7%43.7%0.1%12.5%0%0%10
57.7%46.8%34.3%0.1%18.7%0%0%11
57.7%46.8%34.3%0.1%18.7%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample3.1s (52.5%)

Results
837.0ms2119×body1024valid
727.0ms2017×body1024infinite
694.0ms5091×body256valid
298.0ms1025×body512infinite
291.0ms1042×body512valid
262.0ms2020×body256infinite
3.0msbody2048valid
Bogosity

preprocess57.0ms (0.9%)

Algorithm
egg-herbie
Rules
1300×associate-*r/
1142×distribute-lft-in
1098×associate-/r*
988×distribute-rgt-in
824×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
13042
26342
313842
431542
574742
6240042
7637742
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
(*.f64 (sinh.f64 x) (/.f64 (cos.f64 y) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify63.0ms (1.1%)

Algorithm
egg-herbie
Rules
1226×fma-neg
1040×associate-*r*
842×associate-/l*
742×distribute-lft-in
686×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11821
23621
37521
416721
538921
6122321
7487121
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.02%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.02%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(sinh.f64 y)
0.02%
(/.f64 (sinh.f64 y) y)
Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(/.f64 (sinh.f64 y) y)
1.0ms
y
@inf
(/.f64 (sinh.f64 y) y)
0.0ms
y
@0
(/.f64 (sinh.f64 y) y)
0.0ms
y
@0
(sinh.f64 y)
0.0ms
y
@inf
(sinh.f64 y)

rewrite55.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1374×add-sqr-sqrt
1358×*-un-lft-identity
1266×add-cube-cbrt
1248×add-cbrt-cube
1238×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
112616
2166216
Stop Event
node limit
Counts
2 → 51
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sinh.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 y)))))))

simplify69.0ms (1.1%)

Algorithm
egg-herbie
Rules
1100×times-frac
948×associate-+r-
892×associate-/r*
872×unswap-sqr
658×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471751
13461435
219081139
376981139
Stop Event
node limit
Counts
75 → 89
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 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (*.f64 2 (sinh.f64 y)) 1/2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y 1/6))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y 1/6)))))
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
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(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (sinh.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) y) 1))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 1 (sinh.f64 y))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(*.f64 (*.f64 2 (sinh.f64 y)) 1/2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log.f64 (exp.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)

eval47.0ms (0.8%)

Compiler

Compiled 1127 to 547 computations (51.5% saved)

prune16.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New84589
Fresh000
Picked011
Done000
Total84690
Error
0%
Counts
90 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.06%
(*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3))
2.34%
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
0.02%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.05%
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
48.92%
(*.f64 (cos.f64 x) (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y))))
2.29%
(*.f64 (cos.f64 x) 1)
Compiler

Compiled 129 to 92 computations (28.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sinh.f64 y)
0.02%
(/.f64 (sinh.f64 y) y)
0.03%
(cbrt.f64 (/.f64 (sinh.f64 y) y))
0.03%
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
Compiler

Compiled 35 to 12 computations (65.7% saved)

series3.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
1.0ms
y
@inf
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
0.0ms
y
@0
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
0.0ms
y
@-inf
(cbrt.f64 (/.f64 (sinh.f64 y) y))
0.0ms
y
@inf
(cbrt.f64 (/.f64 (sinh.f64 y) y))

rewrite101.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1728×add-sqr-sqrt
1694×*-un-lft-identity
1602×add-cube-cbrt
1582×add-cbrt-cube
164×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
119326
2219626
Stop Event
node limit
Counts
2 → 79
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(cbrt.f64 (/.f64 (sinh.f64 y) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (/.f64 (sinh.f64 y) y) 1/6)) (pow.f64 (/.f64 (sinh.f64 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2) 3) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) (pow.f64 (/.f64 (sinh.f64 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (sinh.f64 y))) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))))))

simplify56.0ms (0.9%)

Algorithm
egg-herbie
Rules
1246×times-frac
1194×associate-*r/
1092×associate-/l*
1040×unswap-sqr
1032×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02001529
14541467
216201467
Stop Event
node limit
Counts
87 → 112
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 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
1
(+.f64 1 (*.f64 1/18 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/3240 (pow.f64 y 4)) (*.f64 1/18 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 53/1224720 (pow.f64 y 6)) (+.f64 (*.f64 -1/3240 (pow.f64 y 4)) (*.f64 1/18 (pow.f64 y 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (/.f64 (sinh.f64 y) y) 1/6)) (pow.f64 (/.f64 (sinh.f64 y) y) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2) 3) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) 1))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 y 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 y)) 2)
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (sinh.f64 y) 1) y)
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 -1 (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 y))
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 y)))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))) 1)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 1)
(*.f64 1 (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) (pow.f64 (/.f64 (sinh.f64 y) y) 1/6))
(*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (/.f64 1 y) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (sinh.f64 y))) (neg.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 1)
(pow.f64 (/.f64 (sinh.f64 y) y) 1/3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 (*.f64 1/6 y) y)))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 1/6 y))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 (*.f64 1/6 y) y))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 1/6 y)))))
1
(+.f64 1 (*.f64 1/18 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) 1/18))
(fma.f64 (*.f64 y y) 1/18 1)
(+.f64 1 (+.f64 (*.f64 -1/3240 (pow.f64 y 4)) (*.f64 1/18 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/3240 (pow.f64 y 4) (*.f64 (*.f64 y y) 1/18)))
(+.f64 1 (fma.f64 (*.f64 y y) 1/18 (*.f64 (pow.f64 y 4) -1/3240)))
(+.f64 (fma.f64 (*.f64 y y) 1/18 1) (*.f64 (pow.f64 y 4) -1/3240))
(+.f64 1 (+.f64 (*.f64 53/1224720 (pow.f64 y 6)) (+.f64 (*.f64 -1/3240 (pow.f64 y 4)) (*.f64 1/18 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 53/1224720 (pow.f64 y 6) (fma.f64 -1/3240 (pow.f64 y 4) (*.f64 (*.f64 y y) 1/18))))
(+.f64 (fma.f64 (pow.f64 y 6) 53/1224720 (*.f64 (pow.f64 y 4) -1/3240)) (fma.f64 (*.f64 y y) 1/18 1))
(+.f64 (fma.f64 (*.f64 y y) 1/18 1) (fma.f64 (pow.f64 y 6) 53/1224720 (*.f64 (pow.f64 y 4) -1/3240)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (/.f64 (sinh.f64 y) y) 1/6)) (pow.f64 (/.f64 (sinh.f64 y) y) 1/6))
(/.f64 (sinh.f64 y) y)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) 3))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2) 3) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) 1))
(/.f64 (sinh.f64 y) y)
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 y 2))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 y)) 2)
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) 1) y)
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 -1 (neg.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 y))
(/.f64 (sinh.f64 y) y)
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(fabs.f64 (/.f64 (sinh.f64 y) y))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))) 1)
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 1)
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(*.f64 1 (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) (pow.f64 (/.f64 (sinh.f64 y) y) 1/6))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) 1) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (/.f64 1 y) 1/3))
(*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 1 (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) 1) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) 1) (cbrt.f64 y))
(/.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (cbrt.f64 (sinh.f64 y))) (neg.f64 (cbrt.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) 1) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 1)
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(pow.f64 (/.f64 (sinh.f64 y) y) 1/3)
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 1/6) 2)
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 3)
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(fabs.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) 1))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1/3))
(cbrt.f64 (/.f64 (sinh.f64 y) y))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (/.f64 (sinh.f64 y) y))

localize5.0ms (0.1%)

Compiler

Compiled 10 to 6 computations (40% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.25%
(*.f64 1/6 (*.f64 y y))
Compiler

Compiled 33 to 17 computations (48.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 1/6 (*.f64 y y))
0.0ms
y
@inf
(*.f64 1/6 (*.f64 y y))
0.0ms
y
@-inf
(*.f64 1/6 (*.f64 y y))

rewrite51.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1078×add-sqr-sqrt
1058×*-un-lft-identity
1006×pow1
988×add-cube-cbrt
980×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2140913
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 y y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y))))))))

simplify40.0ms (0.7%)

Algorithm
egg-herbie
Rules
1470×distribute-rgt-in
1446×distribute-lft-in
1164×log-prod
746×associate-*r*
702×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038299
192299
2347299
31900299
Stop Event
node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)
(pow.f64 (*.f64 1/6 (*.f64 y y)) 1)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y)))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y))))
Outputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(pow.f64 (*.f64 1/6 (*.f64 y y)) 1)
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3)
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3)
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y)))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y))))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y))))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y))))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 1/6 y))

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sinh.f64 y)
0.22%
(/.f64 1 (sqrt.f64 y))
0.25%
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
0.42%
(/.f64 (sinh.f64 y) (sqrt.f64 y))
Compiler

Compiled 43 to 16 computations (62.8% saved)

series5.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (sinh.f64 y) (sqrt.f64 y))
1.0ms
y
@-inf
(/.f64 (sinh.f64 y) (sqrt.f64 y))
1.0ms
y
@-inf
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
1.0ms
y
@inf
(/.f64 (sinh.f64 y) (sqrt.f64 y))
0.0ms
y
@0
(/.f64 1 (sqrt.f64 y))

rewrite90.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1472×associate-/r*
1400×associate-/l*
954×*-commutative
766×unswap-sqr
612×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
120733
2271033
Stop Event
node limit
Counts
3 → 245
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(/.f64 1 (sqrt.f64 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 y) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y 2) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (pow.f64 y 1/4) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify126.0ms (2.1%)

Algorithm
egg-herbie
Rules
1072×distribute-lft-in
1042×associate-/l*
756×associate-/l/
626×*-commutative
606×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05857441
115336959
266426959
Stop Event
node limit
Counts
257 → 359
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 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) 1)
(*.f64 (sinh.f64 y) (pow.f64 y -1/2))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 1)
(*.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (sinh.f64 y))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 y -1/2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 y) -1/2) (*.f64 (sinh.f64 y) (pow.f64 (sqrt.f64 y) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 y) -1/2) (/.f64 (sinh.f64 y) (pow.f64 y 1/4)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (sqrt.f64 (sinh.f64 y)) 1))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (pow.f64 y -1/2) (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -1/2)) (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 1 y))))
(*.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -1/2))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 y -1/2) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (*.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (*.f64 (sinh.f64 y) (pow.f64 (sqrt.f64 y) -1/2)) (pow.f64 (sqrt.f64 y) -1/2))
(*.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (pow.f64 y -1/2)))
(*.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -1/2))) (cbrt.f64 (/.f64 1 y)))
(*.f64 (*.f64 (pow.f64 y -1/2) (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (sqrt.f64 y))) -1)
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 y 1/4)) (pow.f64 (sqrt.f64 y) -1/2))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -1/2)))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 -1 (sqrt.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 y 1/4)))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 y 1/4)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 y 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (cbrt.f64 (sinh.f64 y)))
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(*.f64 (*.f64 (pow.f64 (pow.f64 y 1/4) -1) (sqrt.f64 (sinh.f64 y))) (*.f64 (pow.f64 (pow.f64 y 1/4) -1) (sqrt.f64 (sinh.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))))
(pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (sqrt.f64 y))))
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(sqrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))
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(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (/.f64 (pow.f64 y -1/2) y)))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
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(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(/.f64 (sinh.f64 y) y)
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(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 1 (/.f64 (neg.f64 y) (neg.f64 (sinh.f64 y))))
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 (sinh.f64 y) 2)))
(/.f64 1 (*.f64 (/.f64 (pow.f64 y 1/4) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)))))
(/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(/.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 y) (*.f64 (pow.f64 y -1/2) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 (pow.f64 y 1/4) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (pow.f64 (sqrt.f64 y) -1/2)))
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y)))))
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(*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -1/2)))
(*.f64 (/.f64 -1 (sqrt.f64 y)) -1)
(*.f64 (pow.f64 (pow.f64 y 1/4) -1) (pow.f64 (pow.f64 y 1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 y) -1) (pow.f64 (cbrt.f64 (sqrt.f64 y)) -1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) -1) (pow.f64 (cbrt.f64 y) -1))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y -1/2))) (cbrt.f64 (pow.f64 y -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y -1/2))) (cbrt.f64 (pow.f64 y -1/2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (/.f64 1 y)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (/.f64 1 y)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 y -1/2)))) (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 y -1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2))))
(pow.f64 y -1/2)
(pow.f64 (sqrt.f64 y) -1)
(pow.f64 (pow.f64 y -1/2) 1)
(pow.f64 (pow.f64 (sqrt.f64 y) -1/2) 2)
(pow.f64 (cbrt.f64 (pow.f64 y -1/2)) 3)
(pow.f64 (/.f64 (pow.f64 y -1/2) y) 1/3)
(sqrt.f64 (/.f64 1 y))
(log.f64 (exp.f64 (pow.f64 y -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1/2))))
(cbrt.f64 (/.f64 (pow.f64 y -1/2) y))
(expm1.f64 (log1p.f64 (pow.f64 y -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 y)))
(log1p.f64 (expm1.f64 (pow.f64 y -1/2)))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y 1/6))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y 1/6)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) 1)
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (sinh.f64 y) (pow.f64 y -1/2))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 1)
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (pow.f64 y -1/2) (sinh.f64 y))
(*.f64 (sinh.f64 y) (pow.f64 y -1/2))
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 y -1/2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (pow.f64 y -1/2))
(*.f64 (pow.f64 (sqrt.f64 y) -1/2) (*.f64 (sinh.f64 y) (pow.f64 (sqrt.f64 y) -1/2)))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 y) -1/2) (/.f64 (sinh.f64 y) (pow.f64 y 1/4)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (sqrt.f64 (sinh.f64 y)) 1))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (sinh.f64 y) (pow.f64 y -1/2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (pow.f64 y -1/2) (cbrt.f64 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (pow.f64 y -1/2))
(*.f64 (cbrt.f64 (pow.f64 y -1/2)) (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 1 y))))
(*.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (cbrt.f64 (/.f64 1 y))))
(*.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -1/2))))
(*.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (cbrt.f64 (/.f64 1 y))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 (sqrt.f64 y)))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (*.f64 (pow.f64 y -1/2) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (pow.f64 y -1/2))
(*.f64 (*.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sinh.f64 y) (pow.f64 y -1/2))
(*.f64 (*.f64 (sinh.f64 y) (pow.f64 (sqrt.f64 y) -1/2)) (pow.f64 (sqrt.f64 y) -1/2))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (pow.f64 y -1/2)))
(*.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (cbrt.f64 (/.f64 1 y))))
(*.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -1/2))))
(*.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -1/2))) (cbrt.f64 (/.f64 1 y)))
(*.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (cbrt.f64 (/.f64 1 y))))
(*.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 y -1/2))))
(*.f64 (*.f64 (pow.f64 y -1/2) (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (sinh.f64 y) (pow.f64 y -1/2))
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (sqrt.f64 y))) -1)
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y))
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 y 1/4)) (pow.f64 (sqrt.f64 y) -1/2))
(*.f64 (pow.f64 (sqrt.f64 y) -1/2) (/.f64 (sinh.f64 y) (pow.f64 y 1/4)))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -1/2)))
(*.f64 (cbrt.f64 (pow.f64 y -1/2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y))
(*.f64 (/.f64 -1 (sqrt.f64 y)) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 y 1/4)))
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 y 1/4)) (pow.f64 y 1/4))
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 y 1/4)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 y 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 y 1/4)))
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 y 1/4)) (pow.f64 y 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (cbrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (pow.f64 y 1/4) -1)) (*.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (pow.f64 y 1/4) -1)))
(*.f64 (pow.f64 (pow.f64 y 1/4) -2) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (pow.f64 (pow.f64 y 1/4) -2))
(*.f64 (*.f64 (pow.f64 (pow.f64 y 1/4) -1) (sqrt.f64 (sinh.f64 y))) (*.f64 (pow.f64 (pow.f64 y 1/4) -1) (sqrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (pow.f64 y 1/4) -2) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))))
(*.f64 (sinh.f64 y) (pow.f64 (pow.f64 y 1/4) -2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))))
(pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 1)
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) 2)
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))) 3)
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 3) 1/3)
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(pow.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) -1)
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 (sqrt.f64 y))) 1))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(sqrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 2) y))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)))))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 3))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (/.f64 (pow.f64 y -1/2) y)))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(/.f64 (sinh.f64 y) (sqrt.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(/.f64 (sinh.f64 y) y)
(/.f64 (sinh.f64 y) y)
(/.f64 (sinh.f64 y) (/.f64 (neg.f64 y) -1))
(/.f64 (sinh.f64 y) y)
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 (neg.f64 y) (neg.f64 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 (sinh.f64 y) 2)))
(/.f64 (sinh.f64 y) y)
(/.f64 1 (*.f64 (/.f64 (pow.f64 y 1/4) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)))))
(/.f64 1 (/.f64 (*.f64 (pow.f64 y 1/4) (sqrt.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)))) (sqrt.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))
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(/.f64 (sinh.f64 y) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (sqrt.f64 y)))) (*.f64 (sqrt.f64 y) (pow.f64 y 1/4))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 y 1/4))) (sqrt.f64 (pow.f64 y 1/4))) (sqrt.f64 (pow.f64 y 1/4)))
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 y 1/4)) (*.f64 (sqrt.f64 y) (pow.f64 y 1/4)))
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 y 1/2)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) 1) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (sinh.f64 y) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 y)) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (cbrt.f64 (sqrt.f64 y))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y 1/4))) (cbrt.f64 (pow.f64 y 1/4)))
(/.f64 (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) (*.f64 (cbrt.f64 (pow.f64 y 1/4)) (cbrt.f64 (pow.f64 y 1/4))))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 (sqrt.f64 y))) (pow.f64 y -1/2)))
(*.f64 (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))
(neg.f64 (*.f64 (pow.f64 y -1/2) (/.f64 (sinh.f64 y) (neg.f64 (sqrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)) (sinh.f64 y))
(*.f64 (sinh.f64 y) (/.f64 (pow.f64 y -1/2) (sqrt.f64 y)))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(fabs.f64 (/.f64 (sinh.f64 y) y))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (*.f64 (/.f64 (pow.f64 y -1/2) y) (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 3) (/.f64 (pow.f64 y -1/2) y)))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) 3) (pow.f64 y 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y -1/2))) 1)
(pow.f64 y -1/2)
(*.f64 1 (pow.f64 y -1/2))
(pow.f64 y -1/2)
(*.f64 (pow.f64 y -1/2) 1)
(pow.f64 y -1/2)
(*.f64 (pow.f64 (sqrt.f64 y) -1/2) (pow.f64 (sqrt.f64 y) -1/2))
(/.f64 1 (sqrt.f64 y))
(*.f64 (cbrt.f64 (pow.f64 y -1/2)) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (pow.f64 y -1/2)))
(*.f64 (cbrt.f64 (pow.f64 y -1/2)) (cbrt.f64 (/.f64 1 y)))
(*.f64 -1 (/.f64 -1 (sqrt.f64 y)))
(/.f64 1 (sqrt.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -1/2)))
(*.f64 (cbrt.f64 (pow.f64 y -1/2)) (/.f64 1 (cbrt.f64 y)))
(/.f64 (cbrt.f64 (pow.f64 y -1/2)) (cbrt.f64 y))
(*.f64 (/.f64 -1 (sqrt.f64 y)) -1)
(/.f64 1 (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 y 1/4) -1) (pow.f64 (pow.f64 y 1/4) -1))
(pow.f64 (pow.f64 y 1/4) -2)
(*.f64 (pow.f64 (cbrt.f64 y) -1) (pow.f64 (cbrt.f64 (sqrt.f64 y)) -1))
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (sqrt.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) -1) (pow.f64 (cbrt.f64 y) -1))
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y -1/2))) (cbrt.f64 (pow.f64 y -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y -1/2))) (cbrt.f64 (pow.f64 y -1/2))))
(pow.f64 y -1/2)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (/.f64 1 y)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (/.f64 1 y)))))
(*.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 y -1/2)))) (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 y -1/2)))))
(pow.f64 y -1/2)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (/.f64 1 y)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (/.f64 1 y)))))
(*.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sqrt.f64 y) -1/2))))
(pow.f64 y -1/2)
(pow.f64 (sqrt.f64 y) -1)
(/.f64 1 (sqrt.f64 y))
(pow.f64 (pow.f64 y -1/2) 1)
(pow.f64 y -1/2)
(pow.f64 (pow.f64 (sqrt.f64 y) -1/2) 2)
(/.f64 1 (sqrt.f64 y))
(pow.f64 (cbrt.f64 (pow.f64 y -1/2)) 3)
(pow.f64 y -1/2)
(pow.f64 (/.f64 (pow.f64 y -1/2) y) 1/3)
(cbrt.f64 (/.f64 (pow.f64 y -1/2) y))
(sqrt.f64 (/.f64 1 y))
(log.f64 (exp.f64 (pow.f64 y -1/2)))
(pow.f64 y -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1/2))))
(pow.f64 y -1/2)
(cbrt.f64 (/.f64 (pow.f64 y -1/2) y))
(expm1.f64 (log1p.f64 (pow.f64 y -1/2)))
(pow.f64 y -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 y)))
(pow.f64 y -1/2)
(log1p.f64 (expm1.f64 (pow.f64 y -1/2)))
(pow.f64 y -1/2)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
0.45%
(/.f64 (sinh.f64 y) (cbrt.f64 y))
0.81%
(pow.f64 (cbrt.f64 y) 2)
0.98%
(cbrt.f64 y)
Compiler

Compiled 43 to 16 computations (62.8% saved)

series8.0ms (0.1%)

Counts
4 → 12
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
2.0ms
y
@-inf
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
1.0ms
y
@-inf
(/.f64 (sinh.f64 y) (cbrt.f64 y))
1.0ms
y
@inf
(/.f64 (sinh.f64 y) (cbrt.f64 y))
0.0ms
y
@-inf
(pow.f64 (cbrt.f64 y) 2)

rewrite88.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1808×associate-/l*
998×*-commutative
676×unswap-sqr
616×swap-sqr
486×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
121542
2288942
Stop Event
node limit
Counts
4 → 221
Calls
Call 1
Inputs
(cbrt.f64 y)
(pow.f64 (cbrt.f64 y) 2)
(/.f64 (sinh.f64 y) (cbrt.f64 y))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (neg.f64 (neg.f64 (pow.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y)))) (neg.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y 1/6)) (neg.f64 (pow.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y)))) (sqrt.f64 (neg.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y))))) (cbrt.f64 (neg.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 y 1/6))) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (cbrt.f64 y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 y 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))))
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simplify101.0ms (1.7%)

Algorithm
egg-herbie
Rules
1804×distribute-lft-in
1612×times-frac
858×associate-/r*
812×associate-*r*
770×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04555125
111414825
266344825
Stop Event
node limit
Counts
233 → 258
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 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)
(*.f64 (cbrt.f64 y) 1)
(*.f64 (cbrt.f64 y) (pow.f64 1 1/3))
(*.f64 1 (cbrt.f64 y))
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
(*.f64 (pow.f64 y 1/6) (neg.f64 (neg.f64 (pow.f64 y 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(*.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y)))) (neg.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y)))))
(*.f64 -1 (neg.f64 (cbrt.f64 y)))
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(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y)))) (sqrt.f64 (neg.f64 (cbrt.f64 y))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y))))) (cbrt.f64 (neg.f64 (cbrt.f64 y))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y 1/6))) (pow.f64 y 1/6))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (cbrt.f64 y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (cbrt.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 y 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 y 1/6))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))
(pow.f64 y 1/3)
(pow.f64 (cbrt.f64 y) 1)
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)
(pow.f64 (pow.f64 y 1/6) 2)
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(*.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2))) (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 y)) (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) 1) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 y 1/6)) (/.f64 (sinh.f64 y) (pow.f64 y 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 (cbrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (neg.f64 (cbrt.f64 y))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cbrt.f64 y) 1)) (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (/.f64 (sinh.f64 y) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)))))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) -2)))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) 1))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))))
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) y) (*.f64 y y)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y 1/6))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 y (*.f64 y 1/6)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)
(cbrt.f64 y)
(*.f64 (cbrt.f64 y) 1)
(cbrt.f64 y)
(*.f64 (cbrt.f64 y) (pow.f64 1 1/3))
(cbrt.f64 y)
(*.f64 1 (cbrt.f64 y))
(cbrt.f64 y)
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
(cbrt.f64 y)
(*.f64 (pow.f64 y 1/6) (neg.f64 (neg.f64 (pow.f64 y 1/6))))
(cbrt.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 y)))))
(cbrt.f64 y)
(*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(cbrt.f64 y)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(*.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y)))))
(cbrt.f64 y)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y)))) (neg.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y)))))
(cbrt.f64 y)
(*.f64 -1 (neg.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(*.f64 (neg.f64 (pow.f64 y 1/6)) (neg.f64 (pow.f64 y 1/6)))
(cbrt.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (neg.f64 (cbrt.f64 (cbrt.f64 y))))
(cbrt.f64 y)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 y))
(cbrt.f64 y)
(*.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y)))) (sqrt.f64 (neg.f64 (cbrt.f64 y))))
(cbrt.f64 y)
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y))))) (cbrt.f64 (neg.f64 (cbrt.f64 y))))
(cbrt.f64 y)
(*.f64 (neg.f64 (neg.f64 (pow.f64 y 1/6))) (pow.f64 y 1/6))
(cbrt.f64 y)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (cbrt.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (cbrt.f64 y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (cbrt.f64 y)))))
(cbrt.f64 y)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 y 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (pow.f64 y 1/6))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (pow.f64 y 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (pow.f64 y 1/6))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))
(cbrt.f64 y)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (pow.f64 y 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (pow.f64 y 1/6))))
(pow.f64 y 1/3)
(cbrt.f64 y)
(pow.f64 (cbrt.f64 y) 1)
(cbrt.f64 y)
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)
(cbrt.f64 y)
(pow.f64 (pow.f64 y 1/6) 2)
(cbrt.f64 y)
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)
(cbrt.f64 y)
(neg.f64 (neg.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(sqrt.f64 (pow.f64 (cbrt.f64 y) 2))
(cbrt.f64 y)
(fabs.f64 (cbrt.f64 y))
(cbrt.f64 y)
(log.f64 (exp.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))
(cbrt.f64 y)
(expm1.f64 (log1p.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(exp.f64 (log.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(log1p.f64 (expm1.f64 (cbrt.f64 y)))
(cbrt.f64 y)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 y) 2) 1)
(pow.f64 (cbrt.f64 y) 2)
(*.f64 1 (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (sqrt.f64 y) (pow.f64 y 1/6))
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y))
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 y))) (neg.f64 (cbrt.f64 (cbrt.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (neg.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (*.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y)))) (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y))))) (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y)))))
(pow.f64 (cbrt.f64 y) 2)
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(*.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 y)))
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(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 y) 2)))))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) -2))
(*.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 y)))
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 y))))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y)))))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) -2))
(*.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(fabs.f64 (/.f64 (sinh.f64 y) y))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) y) (*.f64 y y)))
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)

eval340.0ms (5.7%)

Compiler

Compiled 16259 to 6630 computations (59.2% saved)

prune328.0ms (5.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New9103913
Fresh000
Picked101
Done235
Total9136919
Error
0%
Counts
919 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
48.93%
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
50.01%
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))
0.01%
(*.f64 (cos.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))))
0.02%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.05%
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
2.29%
(*.f64 (cos.f64 x) 1)
Compiler

Compiled 68 to 48 computations (29.4% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(sinh.f64 y)
0.01%
(/.f64 1 (sinh.f64 y))
0.02%
(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
Compiler

Compiled 35 to 20 computations (42.9% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(/.f64 1 (sinh.f64 y))
0.0ms
y
@inf
(/.f64 1 (sinh.f64 y))
0.0ms
y
@0
(/.f64 1 (sinh.f64 y))
0.0ms
y
@0
(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
0.0ms
y
@inf
(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))

rewrite66.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1892×add-sqr-sqrt
1876×*-un-lft-identity
1746×add-cube-cbrt
1722×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0934
119322
2254922
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))
(/.f64 1 (sinh.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (/.f64 1 y) (pow.f64 (sinh.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) -1) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 (pow.f64 y -1/2) (/.f64 1 (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 (sinh.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))))))

simplify83.0ms (1.4%)

Algorithm
egg-herbie
Rules
1354×associate-*r/
1280×times-frac
1210×unswap-sqr
984×associate-/l*
912×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01731861
14401793
216871375
Stop Event
node limit
Counts
83 → 99
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 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (*.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (sinh.f64 y)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (sinh.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -1 (sinh.f64 y))))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (/.f64 1 y) (pow.f64 (sinh.f64 y) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 (/.f64 1 y) -1) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 (pow.f64 y -1/2) (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 (sinh.f64 y) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(neg.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)
(*.f64 1 (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) 1)
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) 2)
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(pow.f64 (sinh.f64 y) -1)
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 (*.f64 1/6 y) y)))
(+.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 (*.f64 1/6 y) y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
(+.f64 (/.f64 1 y) (*.f64 y -1/6))
(fma.f64 y -1/6 (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 -1/6 y (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (/.f64 1 y) (fma.f64 7/360 (pow.f64 y 3) (*.f64 y -1/6)))
(+.f64 (/.f64 1 y) (fma.f64 y -1/6 (*.f64 7/360 (pow.f64 y 3))))
(+.f64 (*.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))))
(fma.f64 -31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 -1/6 y (*.f64 7/360 (pow.f64 y 3)))))
(+.f64 (fma.f64 7/360 (pow.f64 y 3) (*.f64 y -1/6)) (fma.f64 -31/15120 (pow.f64 y 5) (/.f64 1 y)))
(+.f64 (fma.f64 y -1/6 (*.f64 7/360 (pow.f64 y 3))) (fma.f64 -31/15120 (pow.f64 y 5) (/.f64 1 y)))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(/.f64 (sinh.f64 y) y)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 y) (sinh.f64 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (sinh.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sinh.f64 y) (/.f64 1 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(/.f64 (sinh.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -1 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (/.f64 1 y) (pow.f64 (sinh.f64 y) -1/2)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (/.f64 (/.f64 1 y) 1) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (sinh.f64 y)))
(/.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) y))
(*.f64 (/.f64 (/.f64 1 y) -1) (neg.f64 (sinh.f64 y)))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 1 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 (pow.f64 y -1/2) (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (/.f64 (/.f64 1 y) 1) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (sinh.f64 y)))
(/.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sinh.f64 y) (/.f64 1 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 (sinh.f64 y) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sinh.f64 y) (/.f64 1 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(/.f64 (sinh.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(/.f64 (sinh.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(/.f64 (sinh.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(/.f64 (sinh.f64 y) y)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sinh.f64 y))))
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(fabs.f64 (/.f64 (sinh.f64 y) y))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) 1))
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 1 (/.f64 1 (sinh.f64 y)))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 -1 (/.f64 -1 (sinh.f64 y)))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) 2)
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(pow.f64 (/.f64 1 (sinh.f64 y)) 1)
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(pow.f64 (sinh.f64 y) -1)
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(sqrt.f64 (pow.f64 (sinh.f64 y) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 1 (sinh.f64 y))

localize46.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
0.45%
(/.f64 (sinh.f64 y) (cbrt.f64 y))
0.98%
(cbrt.f64 y)
47.38%
(cbrt.f64 (*.f64 y y))
Compiler

Compiled 45 to 10 computations (77.8% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
0.0ms
y
@-inf
(cbrt.f64 (*.f64 y y))
0.0ms
y
@0
(cbrt.f64 (*.f64 y y))
0.0ms
y
@inf
(cbrt.f64 (*.f64 y y))
0.0ms
y
@inf
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))

rewrite84.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1826×associate-/l*
1016×*-commutative
704×unswap-sqr
624×swap-sqr
484×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
120822
2288122
Stop Event
node limit
Counts
2 → 131
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 y y))
(/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
Outputs
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simplify74.0ms (1.2%)

Algorithm
egg-herbie
Rules
1334×unswap-sqr
666×associate-/r/
620×distribute-rgt-in
608×distribute-lft-in
426×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03113411
18263041
233143025
Stop Event
node limit
Counts
143 → 174
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 1/120 (pow.f64 y 4))))
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(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1))))
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(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 -1 (cbrt.f64 (neg.f64 (*.f64 y y))))
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(pow.f64 y 2/3)
(pow.f64 (*.f64 y y) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1)
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(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))
(exp.f64 (*.f64 (log.f64 y) 2/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
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(*.f64 (sinh.f64 y) (/.f64 1 y))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))) 2))) (cbrt.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) 1) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 y 1/6)) (/.f64 (sinh.f64 y) (pow.f64 y 1/6)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 (cbrt.f64 y))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) 1)) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (/.f64 (sinh.f64 y) y))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y))) (cbrt.f64 (/.f64 (sinh.f64 y) y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)))))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) 1))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (neg.f64 (*.f64 y y))))))
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) y) (*.f64 y y)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 1/2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 -1/2 (*.f64 y (cbrt.f64 -1))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 -1/2 (*.f64 y (cbrt.f64 -1))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 -1/2 (*.f64 y (cbrt.f64 -1))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 -1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 (/.f64 -1/2 (*.f64 y (cbrt.f64 -1))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 y) 2) 1)
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 1 1/3))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 1 (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 y 1/6))
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (pow.f64 (*.f64 y (cbrt.f64 y)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 y))) (neg.f64 (cbrt.f64 (cbrt.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (neg.f64 (cbrt.f64 y)) (neg.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y)))) (neg.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y)))) (neg.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))))
(neg.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y)))) (cbrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y))))) (neg.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y)))) (neg.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))))
(neg.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))
(*.f64 (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 -1 (cbrt.f64 (neg.f64 (*.f64 y y))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y)))) (neg.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))))
(neg.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y))))) (sqrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y)))) (neg.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))))
(neg.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y)))) (cbrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y)))))) (cbrt.f64 (cbrt.f64 (neg.f64 (*.f64 y y)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y)))) (neg.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))))
(neg.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 1 1/3)) (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (*.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y)))) (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y))))) (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 y))) (cbrt.f64 (neg.f64 (cbrt.f64 y)))))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (*.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 y 1/6)) (*.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 y 1/6)))
(*.f64 (pow.f64 y 1/6) (*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (pow.f64 y 1/6) (cbrt.f64 (sqrt.f64 y)))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (pow.f64 y 1/6) (pow.f64 (sqrt.f64 y) 1/3)) (*.f64 (pow.f64 y 1/6) (pow.f64 (sqrt.f64 y) 1/3)))
(*.f64 (pow.f64 y 1/6) (*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (pow.f64 y 1/6) (cbrt.f64 (sqrt.f64 y)))))
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (pow.f64 y 1/6))) (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (pow.f64 y 1/6))))
(*.f64 (pow.f64 y 1/6) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(pow.f64 (cbrt.f64 y) 2)
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 y 2/3)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (*.f64 y y) 1/3)
(cbrt.f64 (*.f64 y y))
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (cbrt.f64 y) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3)
(pow.f64 (cbrt.f64 y) 2)
(neg.f64 (cbrt.f64 (neg.f64 (*.f64 y y))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y)))) (neg.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))))
(neg.f64 (cbrt.f64 (*.f64 y (neg.f64 y))))
(sqrt.f64 (*.f64 y (cbrt.f64 y)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (cbrt.f64 y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))
(pow.f64 (cbrt.f64 y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (cbrt.f64 y) 2)
(exp.f64 (*.f64 (log.f64 y) 2/3))
(pow.f64 (cbrt.f64 y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))
(pow.f64 (cbrt.f64 y) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) y))) 1)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (sinh.f64 y) y)
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (sinh.f64 y) y)
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(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (/.f64 (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) 1))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (neg.f64 (*.f64 y y))))))
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (neg.f64 (/.f64 1 (cbrt.f64 (*.f64 y (neg.f64 y))))))
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) (cbrt.f64 y)) (cbrt.f64 (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (sinh.f64 y)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y (neg.f64 y)))))
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 y))))
(/.f64 (sinh.f64 y) y)
(neg.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (neg.f64 (cbrt.f64 y)))))
(/.f64 (sinh.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(/.f64 (sinh.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) y))))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(/.f64 (sinh.f64 y) y)
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) y) (*.f64 y y)))
(/.f64 (sinh.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(/.f64 (sinh.f64 y) y)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(sinh.f64 y)
0.42%
(/.f64 (sinh.f64 y) (sqrt.f64 y))
Compiler

Compiled 34 to 8 computations (76.5% saved)

eval370.0ms (6.2%)

Compiler

Compiled 9448 to 3685 computations (61% saved)

prune100.0ms (1.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New5310531
Fresh000
Picked011
Done055
Total5316537
Error
0%
Counts
537 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
48.93%
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
50.01%
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))
0.01%
(*.f64 (cos.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))))
0.02%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.05%
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
2.29%
(*.f64 (cos.f64 x) 1)
Compiler

Compiled 68 to 48 computations (29.4% saved)

regimes27.0ms (0.5%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))
(*.f64 (cos.f64 x) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))
Outputs
(*.f64 (cos.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))))
Calls

5 calls:

6.0ms
x
6.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms
y
4.0ms
(cos.f64 x)
3.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.01%1x
0.01%1y
0.01%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.01%1(cos.f64 x)
0.01%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 119 to 58 computations (51.3% saved)

regimes16.0ms (0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

4.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
x
3.0ms
y
3.0ms
(cos.f64 x)
2.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.02%1x
0.02%1y
0.02%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.02%1(cos.f64 x)
0.02%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes10.0ms (0.2%)

Accuracy

Total -0.2b remaining (-11.7%)

Threshold costs -0.2b (-11.7%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) 1)
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
Outputs
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(cos.f64 x)
Results
ErrorSegmentsBranch
2.05%1x
2.05%1y
2.05%1(cos.f64 x)
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×*-commutative
*-rgt-identity
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02088
12888
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(*.f64 (cos.f64 x) 1)
Outputs
(*.f64 (cos.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
Compiler

Compiled 38 to 28 computations (26.3% saved)

soundness0.0ms (0%)

end27.0ms (0.4%)

Compiler

Compiled 32 to 18 computations (43.8% saved)

Profiling

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