Details

Time bar (total: 7.0s)

analyze176.0ms (2.5%)

Algorithm
1×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)

sample3.2s (45.6%)

Results
829.0ms2020×body1024valid
763.0ms2052×body1024infinite
753.0ms5192×body256valid
283.0ms1955×body256infinite
269.0ms1068×body512infinite
268.0ms1037×body512valid
10.0ms7×body2048valid
1.0ms1×body2048infinite
Bogosity

preprocess65.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
740×fma-neg_binary64
620×fma-def_binary64
554×div-sub_binary64
485×associate-*l/_binary64
400×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12822
26322
314422
432922
583922
6256622
7674422
022
Stop Event
1×saturated
1×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 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify45.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
804×fma-neg_binary64
491×times-frac_binary64
419×associate-/l*_binary64
357×div-sub_binary64
352×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23511
37711
417111
542811
6129511
7509211
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))

eval1.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
▶0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 y)
✓0.0b
(/.f64 (sinh.f64 y) y)
✓0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series16.0ms (0.2%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms
y
@-inf
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
y
@0
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
x
@inf
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
x
@0
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

rewrite64.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
822×pow1_binary64
761×add-log-exp_binary64
760×log1p-expm1-u_binary64
760×expm1-log1p-u_binary64
743×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
114820
2199820
Stop Event
1×node limit
Counts
3 → 74
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) 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 (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 (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 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sinh.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 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) 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 (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 *.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 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 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 pow.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(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 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)))) (#(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 (/.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 cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 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 log1p.f64 (expm1.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 -.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 (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 (sqrt.f64 (sinh.f64 y)) (sqrt.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 (pow.f64 (sinh.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2)))) (#(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 log1p.f64 (expm1.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 y)))))))

simplify66.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
503×unswap-sqr_binary64
498×times-frac_binary64
400×*-commutative_binary64
392×associate-/l*_binary64
294×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075954
1208944
2571894
32064840
45992840
Stop Event
1×node limit
Counts
122 → 107
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6))))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 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))
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))))
Outputs
(*.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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
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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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) 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))
(+.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
✓0.1b
(/.f64 (cos.f64 x) y)
✓0.3b
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts
2 → 28
Calls

12 calls:

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

rewrite57.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
829×pow1_binary64
768×add-log-exp_binary64
767×log1p-expm1-u_binary64
767×expm1-log1p-u_binary64
750×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114817
2200817
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 y (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (cos.f64 x)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 (cos.f64 x))) (*.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 x)) (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (neg.f64 (cos.f64 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (cos.f64 x) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (cos.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 2) (cbrt.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) (sqrt.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cos.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 x) y)))))))

simplify78.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
917×fma-def_binary64
617×times-frac_binary64
497×associate-/l*_binary64
393×unswap-sqr_binary64
361×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070698
1185694
2492670
31771610
46747610
Stop Event
1×node limit
Counts
89 → 85
Calls
Call 1
Inputs
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6))))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.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 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (*.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
Outputs
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x))
(fma.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (fma.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 (cos.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4))) (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
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(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (*.f64 x (*.f64 x -1/4))))
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(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/48) (/.f64 y (pow.f64 x 4)))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (fma.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)))
(fma.f64 (/.f64 (fma.f64 (exp.f64 y) 1/48 (/.f64 -1/48 (exp.f64 y))) y) (pow.f64 x 4) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (*.f64 x (*.f64 x -1/4)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) x)) (fma.f64 -1/1440 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/48) (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (fma.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (fma.f64 -1/1440 (*.f64 (/.f64 (pow.f64 x 6) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))))
(+.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (*.f64 x (*.f64 x -1/4)))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 1/48 (pow.f64 x 4)) (*.f64 -1/1440 (pow.f64 x 6)))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(/.f64 1 y)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (/.f64 1 y))
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(fma.f64 (/.f64 -1/2 y) (*.f64 x x) (/.f64 1 y))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (*.f64 1/24 (/.f64 (pow.f64 x 4) y))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) y)))
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 (/.f64 1/24 y) (pow.f64 x 4) (fma.f64 (/.f64 -1/2 y) (*.f64 x x) (/.f64 1 y)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (*.f64 -1/720 (/.f64 (pow.f64 x 6) y))))
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 y x)) (/.f64 1 y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (/.f64 -1/720 (/.f64 y (pow.f64 x 6)))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) x) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))))
(fma.f64 -1/2 (*.f64 x (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))))

eval106.0ms (1.5%)

Compiler

Compiled 2954 to 1347 computations (54.4% saved)

prune37.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2184222
Fresh000
Picked101
Done101
Total2204224
Error
0b
Counts
224 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.6b
(*.f64 (sinh.f64 y) (/.f64 1 y))
▶0.7b
(cos.f64 x)
▶1.5b
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 (cos.f64 x) y))
▶0.1b
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
Compiler

Compiled 33 to 24 computations (27.3% saved)

localize4.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
✓0.2b
(*.f64 (sinh.f64 y) (/.f64 1 y))
Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
584×pow1_binary64
543×add-log-exp_binary64
541×log1p-expm1-u_binary64
541×expm1-log1p-u_binary64
531×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11246
215326
Stop Event
1×node limit
Counts
1 → 27
Calls
Call 1
Inputs
(*.f64 (sinh.f64 y) (/.f64 1 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) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (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 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.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 (neg.f64 (sinh.f64 y)) (neg.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 (*.f64 (*.f64 2 (sinh.f64 y)) -1) (*.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))))) (#(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) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (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 -1 (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(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 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(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 log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))))

simplify42.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
586×times-frac_binary64
444×associate-/r*_binary64
363×associate-/l*_binary64
320×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026180
163178
2144166
3420166
41425166
53912166
Stop Event
1×node limit
Counts
39 → 36
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))
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))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/120 1/6) 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 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 y (*.f64 y (fma.f64 (pow.f64 y 4) 1/5040 1/6)) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/5040 (pow.f64 y 6) 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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)

localize40.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (cos.f64 x) y)
✓0.3b
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 (cos.f64 x) y))
✓0.6b
(cbrt.f64 (sinh.f64 y))
✓0.7b
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
Compiler

Compiled 31 to 12 computations (61.3% saved)

series19.0ms (0.3%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 (cos.f64 x) y))
3.0ms
y
@inf
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
3.0ms
y
@-inf
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
2.0ms
y
@0
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
1.0ms
y
@inf
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 (cos.f64 x) y))

rewrite121.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
473×log-prod_binary64
384×prod-exp_binary64
354×exp-prod_binary64
311×pow-prod-down_binary64
247×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
121619
2250219
Stop Event
1×node limit
Counts
3 → 130
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(cbrt.f64 (sinh.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 (cos.f64 x) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (*.f64 (sinh.f64 (exp.f64 (log1p.f64 y))) (cosh.f64 1)) (*.f64 (cosh.f64 (exp.f64 (log1p.f64 y))) (sinh.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(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 1 (sinh.f64 y))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) (#(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 (pow.f64 (sinh.f64 y) 1/6) (pow.f64 (sinh.f64 y) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) 5/6) (pow.f64 (sinh.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (cbrt.f64 (sinh.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))))) (#(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 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 log.f64 (+.f64 1 (expm1.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 sinh.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.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 (*.f64 3 (log.f64 (sinh.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (sinh.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sinh.f64 y)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1/3) (*.f64 2/3 (log.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 1) (*.f64 2/3 (log.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (sinh.f64 y))) (*.f64 (log.f64 (sinh.f64 y)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2/3 (log.f64 (sinh.f64 y))) (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 3/2) (log.f64 (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 3/2) (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sinh.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sinh.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) 1/6) (pow.f64 (sinh.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (sinh.f64 y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sinh.f64 y))))) (sqrt.f64 (log.f64 (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sinh.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sinh.f64 y)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) 1) 1))))))
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simplify74.0ms (1%)

Algorithm
1×egg-herbie
Rules
815×fma-def_binary64
527×associate-/l*_binary64
390×associate-/r*_binary64
332×*-commutative_binary64
321×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062858
1169856
2489826
31879766
46608766
Stop Event
1×node limit
Counts
170 → 151
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6))))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.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 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
Outputs
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x))
(fma.f64 1/6 (*.f64 y (*.f64 y (cos.f64 x))) (cos.f64 x))
(*.f64 (+.f64 (*.f64 y (*.f64 y 1/6)) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/6) 1))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 y (*.f64 y (cos.f64 x))) (cos.f64 x)))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 y (*.f64 y 1/6)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/6) (*.f64 1/120 (pow.f64 y 4))) (cos.f64 x))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 y (*.f64 y (cos.f64 x))) (fma.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 y (*.f64 y 1/6)))))
(fma.f64 (cos.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4))) (*.f64 (cos.f64 x) (fma.f64 y (*.f64 y 1/6) 1)))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y 1/2)))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (*.f64 x (*.f64 x -1/4))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (fma.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)))
(fma.f64 (/.f64 (fma.f64 (exp.f64 y) 1/48 (/.f64 -1/48 (exp.f64 y))) y) (pow.f64 x 4) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (*.f64 x (*.f64 x -1/4)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4)))))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (fma.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (fma.f64 -1/1440 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))))
(+.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4)))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 -1/1440 (pow.f64 x 6)))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))) y)
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) (cos.f64 x))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
✓0.1b
(/.f64 y (cos.f64 x))
✓0.2b
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series11.0ms (0.2%)

Counts
2 → 28
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/.f64 y (cos.f64 x))
1.0ms
x
@-inf
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
1.0ms
x
@0
(/.f64 y (cos.f64 x))
1.0ms
x
@-inf
(/.f64 y (cos.f64 x))
1.0ms
y
@-inf
(/.f64 y (cos.f64 x))

rewrite97.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
921×pow1_binary64
857×add-log-exp_binary64
856×log1p-expm1-u_binary64
856×expm1-log1p-u_binary64
837×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115417
2224117
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(/.f64 y (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 (/.f64 y (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 y (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 y (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 y (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) 1) (/.f64 (cos.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 y (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 2) (cbrt.f64 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) (sqrt.f64 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 y (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 y (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (cos.f64 x))))))))

simplify54.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
498×times-frac_binary64
449×distribute-rgt-in_binary64
438×cancel-sign-sub-inv_binary64
436×distribute-lft-in_binary64
405×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075702
1216694
2665664
32846606
Stop Event
1×node limit
Counts
100 → 96
Calls
Call 1
Inputs
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6))))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.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 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
y
(+.f64 (*.f64 1/2 (*.f64 y (pow.f64 x 2))) y)
(+.f64 (*.f64 1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 y) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y))) (*.f64 1/48 y))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y)))
Outputs
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x))
(fma.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1)))
(+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6))))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (+.f64 (fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (cos.f64 x)) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 (cos.f64 x) (*.f64 y y)) (fma.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 6)) (cos.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)) (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4))))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (fma.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 1/48 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(fma.f64 -1/4 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (*.f64 x x))) (fma.f64 -1/1440 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 6))) (fma.f64 1/48 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 4))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (fma.f64 -1/1440 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4))))))
(fma.f64 -1/4 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 x x)) (fma.f64 1/48 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 4)) (fma.f64 -1/1440 (*.f64 (/.f64 (pow.f64 x 6) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))))
(+.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 1/2 (*.f64 -1/4 (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 1/48 (pow.f64 x 4)) (*.f64 -1/1440 (pow.f64 x 6)))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (cos.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (cos.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (cos.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
y
(+.f64 (*.f64 1/2 (*.f64 y (pow.f64 x 2))) y)
(fma.f64 1/2 (*.f64 y (*.f64 x x)) y)
(fma.f64 1/2 (*.f64 (*.f64 y x) x) y)
(fma.f64 y (*.f64 x (*.f64 x 1/2)) y)
(+.f64 (*.f64 1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y))
(fma.f64 1/2 (*.f64 y (*.f64 x x)) (fma.f64 -1 (*.f64 (pow.f64 x 4) (*.f64 y -5/24)) y))
(fma.f64 1/2 (*.f64 (*.f64 y x) x) (fma.f64 (*.f64 (neg.f64 y) -5/24) (pow.f64 x 4) y))
(fma.f64 y (*.f64 x (*.f64 x 1/2)) (fma.f64 (pow.f64 x 4) (*.f64 y 5/24) y))
(+.f64 y (*.f64 y (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) 5/24))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 y) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y))) (*.f64 1/48 y))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y)))
(fma.f64 -1 (*.f64 (pow.f64 x 6) (fma.f64 -1/720 y (fma.f64 1/2 (*.f64 y -5/24) (*.f64 y 1/48)))) (fma.f64 1/2 (*.f64 y (*.f64 x x)) (fma.f64 -1 (*.f64 (pow.f64 x 4) (*.f64 y -5/24)) y)))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 y x) x) (fma.f64 (*.f64 (neg.f64 y) -5/24) (pow.f64 x 4) y)) (*.f64 (pow.f64 x 6) (fma.f64 y -1/720 (fma.f64 y 1/48 (*.f64 y -5/48)))))
(-.f64 (fma.f64 y (*.f64 x (*.f64 x 1/2)) (fma.f64 (pow.f64 x 4) (*.f64 y 5/24) y)) (*.f64 (pow.f64 x 6) (fma.f64 y 1/48 (*.f64 y -19/180))))
(+.f64 y (fma.f64 y (fma.f64 x (*.f64 x 1/2) (*.f64 (pow.f64 x 4) 5/24)) (*.f64 (*.f64 y -61/720) (neg.f64 (pow.f64 x 6)))))

eval165.0ms (2.4%)

Compiler

Compiled 5137 to 2257 computations (56.1% saved)

prune130.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3765381
Fresh000
Picked011
Done213
Total3787385
Error
0b
Counts
385 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
30.0b
1
▶29.6b
(*.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) (/.f64 1 y))
▶30.3b
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 1 y))
✓0.7b
(cos.f64 x)
✓0.1b
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
▶30.1b
(*.f64 y (/.f64 1 y))
▶29.6b
(/.f64 (sinh.f64 y) y)
Compiler

Compiled 54 to 42 computations (22.2% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 y (/.f64 1 y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite237.0ms (3.4%)

Algorithm
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
328×pow1_binary64
318×add-sqr-sqrt_binary64
310×*-un-lft-identity_binary64
304×add-log-exp_binary64
304×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
11031
29151
051
Stop Event
1×iter limit
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 y (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
1412
Stop Event
1×saturated
Counts
13 → 1
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
1
1
1
1
1
1
1
1
1
1
1
1

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
✓0.0b
(/.f64 2 (*.f64 2 (sinh.f64 y)))
✓0.2b
(*.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) (/.f64 1 y))
✓0.2b
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
Compiler

Compiled 40 to 28 computations (30% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 2 (*.f64 2 (sinh.f64 y)))
1.0ms
y
@-inf
(/.f64 2 (*.f64 2 (sinh.f64 y)))
1.0ms
y
@0
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
1.0ms
y
@0
(/.f64 2 (*.f64 2 (sinh.f64 y)))
1.0ms
y
@inf
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))

rewrite154.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
968×pow1_binary64
902×add-log-exp_binary64
901×log1p-expm1-u_binary64
901×expm1-log1p-u_binary64
107×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
122315
2297515
Stop Event
1×node limit
Counts
3 → 99
Calls
Call 1
Inputs
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(*.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) (/.f64 1 y))
(/.f64 2 (*.f64 2 (sinh.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 1 (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 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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)) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 2)) (*.f64 (cbrt.f64 (sinh.f64 y)) 1))))) (#(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 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 (/.f64 1/2 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 (*.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2)))) (#(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 log.f64 (+.f64 1 (expm1.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 sinh.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (sinh.f64 y)))))))
((#(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 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 -1 (sinh.f64 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 y) (/.f64 -1 (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 1 (/.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (cbrt.f64 y))))))) (#(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 y -1/2) (/.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 -1 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 y) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 y (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y (*.f64 2 (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 (neg.f64 (/.f64 1 y)) (/.f64 -1 (sinh.f64 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 (/.f64 1 y) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) 1) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) 2) (/.f64 1/2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 y)) (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) -1) (/.f64 -1 (sinh.f64 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 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sinh.f64 y)) -1)))) (#(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 cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (/.f64 1 (sinh.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (sinh.f64 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 log1p.f64 (expm1.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 -.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 2 (/.f64 1/2 (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 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (sinh.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) -1)))) (#(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 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (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 log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))))))

simplify81.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
774×distribute-lft-out_binary64
652×fma-def_binary64
602×times-frac_binary64
511×unswap-sqr_binary64
455×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051495
1125485
2317461
3956461
43246461
55682461
Stop Event
1×node limit
Counts
135 → 126
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 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))))
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 1/120 (pow.f64 y 5) (fma.f64 1/5040 (pow.f64 y 7) (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) (fma.f64 1/5040 (pow.f64 y 7) 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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.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))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) 1/6) 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)))
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) 1/6) (fma.f64 1/5040 (pow.f64 y 6) 1))
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) 1/6) 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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) 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 (pow.f64 y 3) 7/360)))
(+.f64 (fma.f64 y -1/6 (/.f64 1 y)) (*.f64 (pow.f64 y 3) 7/360))
(fma.f64 y -1/6 (fma.f64 (pow.f64 y 3) 7/360 (/.f64 1 y)))
(fma.f64 y (fma.f64 (*.f64 y y) 7/360 -1/6) (/.f64 1 y))
(+.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 (pow.f64 y 3) 7/360))))
(+.f64 (fma.f64 y -1/6 (*.f64 (pow.f64 y 3) 7/360)) (fma.f64 (pow.f64 y 5) -31/15120 (/.f64 1 y)))
(fma.f64 (pow.f64 y 5) -31/15120 (fma.f64 y -1/6 (fma.f64 (pow.f64 y 3) 7/360 (/.f64 1 y))))
(fma.f64 (pow.f64 y 3) 7/360 (fma.f64 y -1/6 (fma.f64 (pow.f64 y 5) -31/15120 (/.f64 1 y))))
(fma.f64 y (fma.f64 y (*.f64 y 7/360) -1/6) (fma.f64 (pow.f64 y 5) -31/15120 (/.f64 1 y)))
(fma.f64 y -1/6 (fma.f64 (pow.f64 y 3) 7/360 (fma.f64 (pow.f64 y 5) -31/15120 (/.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 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.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 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.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 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.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 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))

localize64.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
✓0.2b
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 1 y))
0.6b
(cbrt.f64 (sinh.f64 y))
0.7b
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
Compiler

Compiled 27 to 15 computations (44.4% saved)

series4.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 1 y))
1.0ms
y
@inf
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 1 y))
1.0ms
y
@0
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 1 y))

rewrite68.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
753×pow1_binary64
709×add-log-exp_binary64
707×log1p-expm1-u_binary64
707×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
11926
220336
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 1 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) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (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 (sqrt.f64 (sinh.f64 y)) (/.f64 y (sqrt.f64 (sinh.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 (neg.f64 (sinh.f64 y)) (neg.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 (*.f64 (*.f64 2 (sinh.f64 y)) -1) (*.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 y) 2))))) (#(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) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (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 -1 (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(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 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(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 cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (sinh.f64 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 log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))))

simplify55.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
586×times-frac_binary64
444×associate-/r*_binary64
363×associate-/l*_binary64
320×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026180
163178
2144166
3420166
41425166
53912166
Stop Event
1×node limit
Counts
43 → 40
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))
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))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/120 1/6) 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 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 y (*.f64 y (fma.f64 (pow.f64 y 4) 1/5040 1/6)) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/5040 (pow.f64 y 6) 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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 9 to 4 computations (55.6% saved)

eval114.0ms (1.6%)

Compiler

Compiled 4411 to 2712 computations (38.5% saved)

prune106.0ms (1.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3754379
Fresh011
Picked011
Done235
Total3779386
Error
0b
Counts
386 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.9b
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
✓30.1b
(*.f64 y (/.f64 1 y))
▶30.3b
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y)
✓29.6b
(/.f64 (sinh.f64 y) y)
✓0.7b
(cos.f64 x)
▶29.6b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) y)
✓0.1b
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
30.0b
1
▶30.0b
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 y))
Compiler

Compiled 76 to 59 computations (22.4% saved)

localize60.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
✓0.2b
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
✓0.2b
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
✓0.3b
(*.f64 -1/6 y)
Compiler

Compiled 40 to 30 computations (25% saved)

series8.0ms (0.1%)

Counts
4 → 27
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
1.0ms
y
@inf
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
1.0ms
y
@inf
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
1.0ms
y
@-inf
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
1.0ms
y
@0
(*.f64 -1/6 y)

rewrite105.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
841×prod-diff_binary64
469×log-prod_binary64
315×pow-prod-down_binary64
243×pow2_binary64
238×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0943
120037
2278337
Stop Event
1×node limit
Counts
4 → 173
Calls
Call 1
Inputs
(*.f64 -1/6 y)
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
(+.f64 (/.f64 1 y) (*.f64 -1/6 y))
Outputs
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y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 y (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -1/6 y) (-.f64 (*.f64 -1/6 y) (/.f64 1 y)) (pow.f64 y -2)) (fma.f64 -1/216 (pow.f64 y 3) (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y)) (-.f64 (pow.f64 y -2) (*.f64 1/36 (*.f64 y y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 y (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 y))) (exp.f64 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) y) (+.f64 1 (expm1.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 y))) (+.f64 1 (expm1.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 y))) (pow.f64 (exp.f64 -1/6) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 y)) (+.f64 1 (expm1.f64 (*.f64 -1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 y))) (+.f64 1 (expm1.f64 (*.f64 -1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 y (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 y (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 y (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/6 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 y) 1 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1 (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1/6) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/6 y)) (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 2) (cbrt.f64 (*.f64 -1/6 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1/6) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 y)) (sqrt.f64 (*.f64 -1/6 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 y)) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 1 (cbrt.f64 y)) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (sqrt.f64 y)) (sqrt.f64 y) (/.f64 1 y))))))

simplify60.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
690×distribute-neg-frac_binary64
589×associate-/r*_binary64
484×associate-*l*_binary64
379×associate-*r*_binary64
379×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076444
1210414
2597408
32006408
46920408
Stop Event
1×node limit
Counts
200 → 205
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 1/36 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 1/36 (pow.f64 y 5)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/216 (pow.f64 y 7)))))
(/.f64 -6 y)
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(/.f64 -6 y)
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/216 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 -6 (pow.f64 y 2))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (*.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(/.f64 -6 (pow.f64 y 2))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (*.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(/.f64 1 y)
(*.f64 -1/6 y)
(*.f64 -1/6 y)
Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 1/36 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/36 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/36 (pow.f64 y 5) y))
(+.f64 (*.f64 1/36 (pow.f64 y 5)) (+.f64 y (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/216 (pow.f64 y 7)))))
(fma.f64 1/36 (pow.f64 y 5) (+.f64 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/216 (pow.f64 y 7)))))
(+.f64 (fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)) (*.f64 1/216 (pow.f64 y 7)))
(fma.f64 1/36 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/216 (pow.f64 y 7) y)))
(/.f64 -6 y)
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))))
(-.f64 (/.f64 -6 y) (/.f64 36 (pow.f64 y 3)))
(+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3)))
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))) (/.f64 216 (pow.f64 y 5))))
(+.f64 (-.f64 (/.f64 -6 y) (/.f64 36 (pow.f64 y 3))) (/.f64 -216 (pow.f64 y 5)))
(+.f64 (/.f64 -6 y) (-.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 216 (pow.f64 y 5))))
(+.f64 (/.f64 -36 (pow.f64 y 3)) (+.f64 (/.f64 -216 (pow.f64 y 5)) (/.f64 -6 y)))
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(neg.f64 (+.f64 (/.f64 216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7))))))
(-.f64 (/.f64 -216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7)))))
(+.f64 (+.f64 (/.f64 -6 y) (-.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 216 (pow.f64 y 5)))) (/.f64 -1296 (pow.f64 y 7)))
(+.f64 (+.f64 (/.f64 -36 (pow.f64 y 3)) (+.f64 (/.f64 -216 (pow.f64 y 5)) (/.f64 -6 y))) (/.f64 -1296 (pow.f64 y 7)))
(/.f64 -6 y)
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))))
(-.f64 (/.f64 -6 y) (/.f64 36 (pow.f64 y 3)))
(+.f64 (/.f64 -6 y) (/.f64 -36 (pow.f64 y 3)))
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (*.f64 36 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6 y) (/.f64 36 (pow.f64 y 3))) (/.f64 216 (pow.f64 y 5))))
(+.f64 (-.f64 (/.f64 -6 y) (/.f64 36 (pow.f64 y 3))) (/.f64 -216 (pow.f64 y 5)))
(+.f64 (/.f64 -6 y) (-.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 216 (pow.f64 y 5))))
(+.f64 (/.f64 -36 (pow.f64 y 3)) (+.f64 (/.f64 -216 (pow.f64 y 5)) (/.f64 -6 y)))
(neg.f64 (+.f64 (*.f64 216 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 6 (/.f64 1 y)) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 3))) (*.f64 1296 (/.f64 1 (pow.f64 y 7)))))))
(neg.f64 (+.f64 (/.f64 216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7))))))
(-.f64 (/.f64 -216 (pow.f64 y 5)) (+.f64 (/.f64 6 y) (+.f64 (/.f64 36 (pow.f64 y 3)) (/.f64 1296 (pow.f64 y 7)))))
(+.f64 (+.f64 (/.f64 -6 y) (-.f64 (/.f64 -36 (pow.f64 y 3)) (/.f64 216 (pow.f64 y 5)))) (/.f64 -1296 (pow.f64 y 7)))
(+.f64 (+.f64 (/.f64 -36 (pow.f64 y 3)) (+.f64 (/.f64 -216 (pow.f64 y 5)) (/.f64 -6 y))) (/.f64 -1296 (pow.f64 y 7)))
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 1/36 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/36 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 1/36 (pow.f64 y 4)))
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (*.f64 1/216 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/216 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/36 (pow.f64 y 4)))))
(fma.f64 1/216 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/36 (pow.f64 y 4) 1)))
(/.f64 -6 (pow.f64 y 2))
(/.f64 -6 (*.f64 y y))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (*.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 6 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 -216 (pow.f64 y 6)))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6))) (/.f64 1296 (pow.f64 y 8)))))
(-.f64 (/.f64 -6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 1296 (pow.f64 y 8)))))
(+.f64 (+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 6 (*.f64 y y)))) (/.f64 -1296 (pow.f64 y 8)))
(+.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8))))
(/.f64 -6 (pow.f64 y 2))
(/.f64 -6 (*.f64 y y))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (*.f64 36 (/.f64 1 (pow.f64 y 4)))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6)))))
(-.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 216 (pow.f64 y 6)))
(+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 6 (*.f64 y y))))
(+.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (/.f64 -216 (pow.f64 y 6)))
(neg.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 y 8))) (+.f64 (*.f64 36 (/.f64 1 (pow.f64 y 4))) (*.f64 216 (/.f64 1 (pow.f64 y 6)))))))
(neg.f64 (+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 216 (pow.f64 y 6))) (/.f64 1296 (pow.f64 y 8)))))
(-.f64 (/.f64 -6 (*.f64 y y)) (+.f64 (/.f64 36 (pow.f64 y 4)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 1296 (pow.f64 y 8)))))
(+.f64 (+.f64 (/.f64 -36 (pow.f64 y 4)) (-.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 6 (*.f64 y y)))) (/.f64 -1296 (pow.f64 y 8)))
(+.f64 (+.f64 (/.f64 -6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4))) (+.f64 (/.f64 -216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8))))
(/.f64 1 y)
(*.f64 -1/6 y)
(*.f64 y -1/6)
(*.f64 -1/6 y)
(*.f64 y -1/6)

localize25.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 y))
✓0.2b
(/.f64 1 (/.f64 1 y))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite48.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
352×pow1_binary64
340×add-sqr-sqrt_binary64
332×*-un-lft-identity_binary64
327×add-log-exp_binary64
327×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
11342
210492
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2)) (log.f64 (cbrt.f64 (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y 5/2)) (sqrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y 5/2) 1/3) (sqrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0224
1524
Stop Event
1×saturated
Counts
70 → 47
Calls
Call 1
Inputs
y
y
y
y
y
y
y
y
y
y
y
y
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
y
y
y
y
y
y
y
y
y
y
y
y
1
1
1
1
1
1
1
1
1
1
1
1

localize41.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.0b
(/.f64 2 (*.f64 2 (sinh.f64 y)))
✓0.0b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) y)
0.2b
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
Compiler

Compiled 35 to 24 computations (31.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) y)
0.0ms
y
@inf
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) y)
0.0ms
y
@-inf
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) y)

rewrite56.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
883×pow1_binary64
824×add-log-exp_binary64
823×log1p-expm1-u_binary64
823×expm1-log1p-u_binary64
806×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0912
12016
226926
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) 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 1 (/.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 (sinh.f64 y) y) 1)))) (#(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 (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 (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 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 2 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 1 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 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) 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 (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 *.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 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 2 (sinh.f64 y)) (cbrt.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 (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 1/2 (sqrt.f64 y)) (/.f64 (*.f64 2 (sinh.f64 y)) (sqrt.f64 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 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(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 cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 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 log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))))

simplify42.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
586×times-frac_binary64
444×associate-/r*_binary64
363×associate-/l*_binary64
320×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026180
163178
2144166
3420166
41425166
53912166
Stop Event
1×node limit
Counts
47 → 44
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))
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))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/120 1/6) 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 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 y (*.f64 y (fma.f64 (pow.f64 y 4) 1/5040 1/6)) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/5040 (pow.f64 y 6) 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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
✓0.0b
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y)
0.6b
(cbrt.f64 (sinh.f64 y))
0.7b
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
Compiler

Compiled 21 to 10 computations (52.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite114.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
676×pow1_binary64
640×add-log-exp_binary64
639×log1p-expm1-u_binary64
639×expm1-log1p-u_binary64
624×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076
11566
217346
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) 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 (cbrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.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 (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 (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 (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 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) 1) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 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 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.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 (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 *.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 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 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 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 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 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)))) (#(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 cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 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 log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))))))

simplify44.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
743×fma-def_binary64
586×times-frac_binary64
444×associate-/r*_binary64
363×associate-/l*_binary64
320×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026180
163178
2144166
3420166
41425166
53912166
Stop Event
1×node limit
Counts
47 → 44
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))
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))))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/120 1/6) 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 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 y (*.f64 y (fma.f64 (pow.f64 y 4) 1/5040 1/6)) (fma.f64 1/120 (pow.f64 y 4) 1))
(fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/5040 (pow.f64 y 6) 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 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (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) (exp.f64 (neg.f64 y))) y))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y)

eval267.0ms (3.8%)

Compiler

Compiled 7139 to 4741 computations (33.6% saved)

prune159.0ms (2.3%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New5505555
Fresh011
Picked011
Done257
Total55212564
Error
0b
Counts
564 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
30.1b
(/.f64 (/.f64 1 (/.f64 1 y)) y)
30.0b
1
29.9b
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) y)
63.4b
(/.f64 -6 (*.f64 y y))
✓30.3b
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y)
✓29.6b
(/.f64 (sinh.f64 y) y)
✓0.7b
(cos.f64 x)
✓29.6b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) y)
✓30.1b
(*.f64 y (/.f64 1 y))
60.1b
(*.f64 (neg.f64 y) (/.f64 1 y))
61.0b
(*.f64 (-.f64 (+.f64 1 y) 1) (/.f64 1 y))
Compiler

Compiled 98 to 75 computations (23.5% saved)

regimes55.0ms (0.8%)

Counts
20 → 1
Calls
Call 1
Inputs
1
(/.f64 -6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
(*.f64 (neg.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 (/.f64 1 y)) y)
(*.f64 (-.f64 (+.f64 1 y) 1) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 y))
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) y)
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) y)
(*.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) (/.f64 1 y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 1 y))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 (cos.f64 x) y))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

15.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms
x
10.0ms
(cos.f64 x)
9.0ms
y
3.0ms
(/.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 174 to 106 computations (39.1% saved)

regimes67.0ms (1%)

Counts
16 → 1
Calls
Call 1
Inputs
1
(/.f64 -6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
(*.f64 (neg.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 (/.f64 1 y)) y)
(*.f64 (-.f64 (+.f64 1 y) 1) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 y))
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) y)
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) y)
(*.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) (/.f64 1 y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
Outputs
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
Calls

5 calls:

12.0ms
y
10.0ms
x
8.0ms
(cos.f64 x)
3.0ms
(/.f64 (sinh.f64 y) y)
3.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1(cos.f64 x)
0.1b1(/.f64 (sinh.f64 y) y)
0.1b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 138 to 91 computations (34.1% saved)

regimes34.0ms (0.5%)

Counts
14 → 1
Calls
Call 1
Inputs
1
(/.f64 -6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
(*.f64 (neg.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 (/.f64 1 y)) y)
(*.f64 (-.f64 (+.f64 1 y) 1) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 y))
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) y)
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) y)
(*.f64 (/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) (/.f64 1 y))
Outputs
(cos.f64 x)
Calls

4 calls:

10.0ms
y
9.0ms
x
7.0ms
(cos.f64 x)
4.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.7b1x
0.7b1y
0.7b1(cos.f64 x)
0.7b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 118 to 83 computations (29.7% saved)

regimes16.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
1
(/.f64 -6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
(*.f64 (neg.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 (/.f64 1 y)) y)
(*.f64 (-.f64 (+.f64 1 y) 1) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 y))
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) y)
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
Outputs
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
Calls

2 calls:

8.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
29.9b1x
29.9b1y
Compiler

Compiled 74 to 54 computations (27% saved)

regimes14.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
1
(/.f64 -6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
(*.f64 (neg.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 (/.f64 1 y)) y)
(*.f64 (-.f64 (+.f64 1 y) 1) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 y))
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) y)
Outputs
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) y)
Calls

2 calls:

6.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
29.9b1x
29.9b1y
Compiler

Compiled 61 to 44 computations (27.9% saved)

regimes14.0ms (0.2%)

Accuracy

Total -33.6b remaining (-112.2%)

Threshold costs -33.6b (-112.2%)

Counts
7 → 1
Calls
Call 1
Inputs
1
(/.f64 -6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
(*.f64 (neg.f64 y) (/.f64 1 y))
(/.f64 (/.f64 1 (/.f64 1 y)) y)
(*.f64 (-.f64 (+.f64 1 y) 1) (/.f64 1 y))
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 y))
Outputs
1
Calls

2 calls:

6.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
30.0b1x
30.0b1y
Compiler

Compiled 50 to 36 computations (28% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761
12361
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(cos.f64 x)
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) y)
1
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x)))
(cos.f64 x)
(*.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (/.f64 1 y))
(*.f64 (/.f64 1 y) (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))))
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) y)
(/.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) y)
1
Compiler

Compiled 53 to 40 computations (24.5% saved)

soundness0.0ms (0%)

end46.0ms (0.7%)

Compiler

Compiled 43 to 27 computations (37.2% saved)

Profiling

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