Details

Time bar (total: 3.5s)

analyze278.0ms (7.9%)

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)

sample2.7s (76.2%)

Results
693.0ms2106×body1024valid
666.0ms2068×body1024infinite
615.0ms5158×body256valid
251.0ms1998×body256infinite
244.0ms989×body512valid
210.0ms1005×body512infinite
3.0msbody2048valid
Bogosity

preprocess58.0ms (1.6%)

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)

simplify55.0ms (1.5%)

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
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (sinh.f64 y) y)
0.0b
(sinh.f64 y)
Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite54.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1372×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
(sinh.f64 y)
(/.f64 (sinh.f64 y) y)
Outputs
((#(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)))))))
((#(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)))))))

simplify68.0ms (1.9%)

Algorithm
egg-herbie
Rules
1102×times-frac
950×associate-+r-
910×associate-/r*
872×unswap-sqr
626×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471751
13461435
219101139
377031139
Stop Event
node limit
Counts
75 → 88
Calls
Call 1
Inputs
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))))
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 (+.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)))
(-.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)))
Outputs
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 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) 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))))
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)
(fma.f64 y (*.f64 y 1/6) 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)))
(fma.f64 y (*.f64 y 1/6) (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)))))
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (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 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 (+.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)
(-.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))
(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.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)

eval18.0ms (0.5%)

Compiler

Compiled 1103 to 535 computations (51.5% saved)

prune14.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New86288
Fresh000
Picked011
Done000
Total86389
Error
0b
Counts
89 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.7b
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
0.9b
(*.f64 (cos.f64 x) 1)
Compiler

Compiled 27 to 20 computations (25.9% saved)

localize5.0ms (0.1%)

Compiler

Compiled 10 to 6 computations (40% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.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))

rewrite49.0ms (1.4%)

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))))))))

simplify38.0ms (1.1%)

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))

eval3.0ms (0.1%)

Compiler

Compiled 168 to 107 computations (36.3% saved)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New13114
Fresh000
Picked101
Done022
Total14317
Error
0b
Counts
17 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.7b
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (*.f64 1/6 y))))
0.9b
(*.f64 (cos.f64 x) 1)
Compiler

Compiled 27 to 20 computations (25.9% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 y (*.f64 1/6 y))
0.4b
(*.f64 1/6 y)
Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite50.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1104×add-sqr-sqrt
1086×*-un-lft-identity
1030×pow1
1012×add-cube-cbrt
998×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
112020
2137220
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 1/6 y)
(*.f64 y (*.f64 1/6 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 y)))))))
((#(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 (sqrt.f64 (*.f64 1/6 (*.f64 y y))) 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 (pow.f64 (*.f64 1/6 (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) 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))))))))

simplify45.0ms (1.3%)

Algorithm
egg-herbie
Rules
1460×log-prod
1412×associate-*r*
1266×associate-*l*
1058×associate-+l+
976×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056508
1138442
2536376
34034376
Stop Event
node limit
Counts
34 → 27
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 y)) 1)
(pow.f64 (*.f64 1/6 y) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 1/6) y))
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 y)))
(exp.f64 (log.f64 (*.f64 1/6 y)))
(log1p.f64 (expm1.f64 (*.f64 1/6 y)))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)
(pow.f64 (*.f64 1/6 (*.f64 y y)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 y y))) 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 (pow.f64 (*.f64 1/6 (*.f64 y y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) 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 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(-.f64 (+.f64 1 (*.f64 1/6 y)) 1)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (*.f64 1/6 y) 1)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(sqrt.f64 (*.f64 1/36 (*.f64 y y)))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(log.f64 (pow.f64 (exp.f64 1/6) y))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(expm1.f64 (log1p.f64 (*.f64 1/6 y)))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(exp.f64 (log.f64 (*.f64 1/6 y)))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(log1p.f64 (expm1.f64 (*.f64 1/6 y)))
(+.f64 1 (-.f64 (*.f64 1/6 y) 1))
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)
(*.f64 1/6 (*.f64 y y))
(pow.f64 (*.f64 1/6 (*.f64 y y)) 1)
(*.f64 1/6 (*.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 y y))) 2)
(*.f64 1/6 (*.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3)
(*.f64 1/6 (*.f64 y y))
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3)
(*.f64 1/6 (*.f64 y y))
(sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 2))
(*.f64 1/6 (*.f64 y y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) y) y))
(*.f64 1/6 (*.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3))
(*.f64 1/6 (*.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y))))
(*.f64 1/6 (*.f64 y y))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y))))
(*.f64 1/6 (*.f64 y y))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y))))
(*.f64 1/6 (*.f64 y y))

eval6.0ms (0.2%)

Compiler

Compiled 338 to 220 computations (34.9% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done022
Total27330
Error
0b
Counts
30 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.7b
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 y (*.f64 1/6 y))))
0.9b
(*.f64 (cos.f64 x) 1)
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes17.0ms (0.5%)

Counts
4 → 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 1 (*.f64 y (*.f64 1/6 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
y
4.0ms
x
3.0ms
(cos.f64 x)
3.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0b1(cos.f64 x)
0.0b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes11.0ms (0.3%)

Accuracy

Total -0.3b remaining (-45%)

Threshold costs -0.3b (-45%)

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 1 (*.f64 y (*.f64 1/6 y))))
Outputs
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
Calls

3 calls:

4.0ms
x
3.0ms
y
3.0ms
(cos.f64 x)
Results
ErrorSegmentsBranch
0.7b1x
0.7b1y
0.7b1(cos.f64 x)
Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01655
12355
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.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 (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 25 to 18 computations (28% saved)

soundness0.0ms (0%)

end20.0ms (0.6%)

Compiler

Compiled 21 to 12 computations (42.9% saved)

Profiling

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