Details

Time bar (total: 6.0s)

analyze184.0ms (3.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
37.5%62.4%0.1%7
37.5%62.4%0.1%8
43.7%43.7%12.6%9
43.7%43.7%12.6%10
46.8%34.3%18.8%11
46.8%34.3%18.8%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample3.2s (53.1%)

Results
862.0ms2109×body1024valid
744.0ms5115×body256valid
720.0ms1915×body1024invalid
289.0ms1983×body256invalid
278.0ms1029×body512valid
264.0ms1013×body512invalid
5.0ms3×body2048valid

preprocess64.0ms (1.1%)

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)

simplify51.0ms (0.8%)

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)

prune1.0ms (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)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(/.f64 (sinh.f64 y) y)
1.0ms
y
@inf
(/.f64 (sinh.f64 y) y)
1.0ms
y
@0
(/.f64 (sinh.f64 y) y)
0.0ms
y
@0
(sinh.f64 y)
0.0ms
y
@inf
(sinh.f64 y)

rewrite61.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
505×pow1_binary64
487×add-sqr-sqrt_binary64
472×add-log-exp_binary64
471×log1p-expm1-u_binary64
471×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
1889
212279
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (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 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)))))))

simplify57.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
632×times-frac_binary64
511×unswap-sqr_binary64
482×fma-def_binary64
476×distribute-lft-out_binary64
409×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039336
1101328
2250308
3745308
42718308
55331308
Stop Event
1×node limit
Counts
75 → 69
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
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 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 1/6 (*.f64 y y) (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))
(*.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)
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(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)))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series13.0ms (0.2%)

Counts
2 → 28
Calls

12 calls:

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

rewrite67.0ms (1.1%)

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)))))))

simplify65.0ms (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))
(*.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 (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 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y 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 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 (/.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))))

eval43.0ms (0.7%)

Compiler

Compiled 2389 to 1089 computations (54.4% saved)

prune28.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1804184
Fresh000
Picked101
Done101
Total1824186
Error
0b
Counts
186 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.1b
(cos.f64 x)
▶0.8b
(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
▶0.1b
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
▶27.1b
(*.f64 (sinh.f64 y) (/.f64 1 y))
Compiler

Compiled 32 to 23 computations (28.1% saved)

localize4.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
✓0.0b
(fma.f64 1/6 (*.f64 y y) 1)
Compiler

Compiled 26 to 13 computations (50% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
1.0ms
x
@0
(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
1.0ms
y
@inf
(fma.f64 1/6 (*.f64 y y) 1)
1.0ms
y
@0
(fma.f64 1/6 (*.f64 y y) 1)
0.0ms
x
@-inf
(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))

rewrite69.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
742×pow1_binary64
683×add-log-exp_binary64
682×log1p-expm1-u_binary64
682×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
117221
2188821
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(fma.f64 1/6 (*.f64 y y) 1)
(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1/6 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/6 (*.f64 y y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1) (+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) (-.f64 1 (*.f64 (*.f64 1/6 (*.f64 y y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (*.f64 y y) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))))))))

simplify138.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
865×fma-def_binary64
597×+-commutative_binary64
581×associate-+l+_binary64
574×distribute-rgt-in_binary64
568×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035541
193475
2277451
31066429
44071424
55211424
66407424
76652424
86828424
97058424
107721424
Stop Event
1×node limit
Counts
72 → 54
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (*.f64 -1/720 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2))))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 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 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(+.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 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 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(+.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 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 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 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 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (*.f64 x x)) (*.f64 1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 (*.f64 x x) -1/2))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (fma.f64 1/6 (*.f64 y y) 1))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (*.f64 x x)) (fma.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (pow.f64 x 4)) (*.f64 1/6 (*.f64 y y)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) 1/24) (pow.f64 x 4) (*.f64 1/6 (*.f64 y y)))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) 1)))
(+.f64 (*.f64 -1/720 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2))))))
(fma.f64 -1/720 (*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (pow.f64 x 6)) (+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (*.f64 x x)) (fma.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (pow.f64 x 4)) (*.f64 1/6 (*.f64 y y))))))
(+.f64 (fma.f64 -1/2 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) 1/24) (pow.f64 x 4) (*.f64 1/6 (*.f64 y y)))) (fma.f64 -1/720 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (pow.f64 x 6)) 1))
(+.f64 1 (fma.f64 (pow.f64 x 6) (+.f64 -1/720 (*.f64 (*.f64 y y) -1/4320)) (fma.f64 1/6 (*.f64 y y) (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 y y) 1/144 1/24) (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 -1/2 (*.f64 x x) 1))))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))) (+.f64 1 (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) 1))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 1/6 (*.f64 y (*.f64 y (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 1/6 (*.f64 y (*.f64 y (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
✓0.1b
(*.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))

rewrite54.0ms (0.9%)

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)))))))

simplify50.0ms (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
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)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 20 to 6 computations (70% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite55.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
850×pow1_binary64
789×add-log-exp_binary64
788×log1p-expm1-u_binary64
788×expm1-log1p-u_binary64
771×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
114819
2205119
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (sinh.f64 y) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 (/.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (*.f64 (cos.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sinh.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 (cos.f64 x) 1) (/.f64 (sinh.f64 y) 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 (*.f64 (sinh.f64 y) (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cos.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 (cos.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sinh.f64 y) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sinh.f64 y) (cos.f64 x))))))))

simplify55.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
591×times-frac_binary64
503×associate-/l*_binary64
483×*-commutative_binary64
418×fma-def_binary64
363×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0841168
12381166
26741078
32638997
Stop Event
1×node limit
Counts
104 → 90
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 (cos.f64 x) y)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 3))) (*.f64 (cos.f64 x) y))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 3))) (+.f64 (*.f64 (cos.f64 x) y) (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 5)))))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 3))) (+.f64 (*.f64 (cos.f64 x) y) (+.f64 (*.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 y 5))) (*.f64 1/5040 (*.f64 (cos.f64 x) (pow.f64 y 7))))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (*.f64 -1/1440 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 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)))))
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(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (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 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(fma.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 x (*.f64 x -1/4))))
(+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(fma.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))
(fma.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/48))))
(fma.f64 (*.f64 x x) (fma.f64 (exp.f64 y) -1/4 (/.f64 1/4 (exp.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 1/48 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))) (*.f64 -1/1440 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))))))
(fma.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (*.f64 -1/1440 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6))))))
(fma.f64 -1/4 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/48 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/1440)))))
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 1/48 (pow.f64 x 4)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/1440 (pow.f64 x 6)) 1/2)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (+.f64 1/2 (*.f64 x (*.f64 x -1/4))) (+.f64 (*.f64 1/48 (pow.f64 x 4)) (*.f64 -1/1440 (pow.f64 x 6)))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (*.f64 1/2 (cos.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (cos.f64 x) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (cos.f64 x) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))

eval61.0ms (1%)

Compiler

Compiled 3126 to 1633 computations (47.8% saved)

prune35.0ms (0.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2346240
Fresh000
Picked011
Done213
Total2368244
Error
0b
Counts
244 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
✓1.1b
(cos.f64 x)
▶27.0b
(/.f64 (sinh.f64 y) y)
✓0.1b
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
▶0.8b
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))
▶27.6b
(*.f64 y (/.f64 1 y))
27.5b
1
▶61.2b
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)))
Compiler

Compiled 138 to 96 computations (30.4% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 33 to 17 computations (48.5% saved)

series4.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(*.f64 1/6 (*.f64 y y))
0.0ms
y
@0
(*.f64 1/6 (*.f64 y y))
0.0ms
x
@inf
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
0.0ms
x
@0
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
0.0ms
y
@inf
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))

rewrite64.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
492×prod-diff_binary64
470×log-prod_binary64
358×exp-prod_binary64
313×pow-prod-down_binary64
253×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
121020
2261820
Stop Event
1×node limit
Counts
2 → 95
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 y y))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 y y)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 y y))))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/216 (pow.f64 y 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 y y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/6 (*.f64 y y) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (/.f64 1 (-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (*.f64 1/6 (*.f64 y y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))) 2) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (cos.f64 x)) (-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (fma.f64 1/216 (pow.f64 y 6) 1)) (-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 2)) (cbrt.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))) (sqrt.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)) (cos.f64 x)) (+.f64 1 (expm1.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) (*.f64 1/6 (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) 1 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) (*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))))))) (#(struct:change #<rule 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(cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x))) 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x)))) 2) (cbrt.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (cos.f64 x)))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 1/6)) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 y (sqrt.f64 1/6)) (sqrt.f64 (cos.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) 1/6) (*.f64 y y) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (*.f64 y y)) 1/6 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (cbrt.f64 (*.f64 1/36 (pow.f64 y 4)))) (cbrt.f64 (*.f64 1/6 (*.f64 y y))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (*.f64 y (sqrt.f64 1/6))) (*.f64 y (sqrt.f64 1/6)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (*.f64 1/6 y)) y (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 1/6)) (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))

simplify130.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
865×fma-def_binary64
583×+-commutative_binary64
581×associate-+l+_binary64
574×distribute-rgt-in_binary64
568×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035520
193472
2277448
31060426
44062421
55202421
66398421
76643421
86819421
97049421
107699421
Stop Event
1×node limit
Counts
131 → 112
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (*.f64 -1/720 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2))))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
Outputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 (*.f64 1/6 (*.f64 y y)) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 1/6 y) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (*.f64 x x)) (*.f64 1/6 (*.f64 y y))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 (*.f64 x x) -1/2))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (fma.f64 y (*.f64 1/6 y) 1))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (*.f64 x x)) (fma.f64 1/24 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 4)) (*.f64 1/6 (*.f64 y y)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) 1/24) (pow.f64 x 4) (*.f64 1/6 (*.f64 y y)))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 1/6 y) 1) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (*.f64 1/24 (pow.f64 x 4))))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) 1)))
(+.f64 (*.f64 -1/720 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 4))) (*.f64 1/6 (pow.f64 y 2))))))
(fma.f64 -1/720 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 6)) (+.f64 1 (fma.f64 -1/2 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (*.f64 x x)) (fma.f64 1/24 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 4)) (*.f64 1/6 (*.f64 y y))))))
(+.f64 (fma.f64 -1/2 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 x x)) (fma.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) 1/24) (pow.f64 x 4) (*.f64 1/6 (*.f64 y y)))) (fma.f64 -1/720 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (pow.f64 x 6)) 1))
(+.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 1/6 y) 1) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 6) (+.f64 -1/720 (*.f64 (*.f64 y y) -1/4320)) 1))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 y y) 1/144 1/24) (*.f64 (fma.f64 y (*.f64 1/6 y) 1) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 -1/2 (*.f64 x x) 1))))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (+.f64 1 (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (cos.f64 x))
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 1/6 y) 1) (cos.f64 x))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
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))

rewrite66.0ms (1.1%)

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)))))

simplify8.0ms (0.1%)

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

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)

localize30.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)))
0.2b
(*.f64 1/6 (*.f64 y y))
Compiler

Compiled 23 to 10 computations (56.5% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite78.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
739×pow1_binary64
681×add-log-exp_binary64
681×log1p-expm1-u_binary64
681×expm1-log1p-u_binary64
666×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
116212
2189812
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) 1/6)) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))))))))

simplify153.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
840×unswap-sqr_binary64
637×distribute-rgt-out_binary64
636×associate-+l+_binary64
614×fma-def_binary64
603×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027346
168346
2203332
3827314
42348314
53872314
64986314
75447314
85777314
95999314
106315314
116760314
127208314
137725314
Stop Event
1×node limit
Counts
37 → 23
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 y 2))
(+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/4320 (*.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
Outputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(fma.f64 1/6 (*.f64 y y) (*.f64 -1/12 (*.f64 (*.f64 y y) (*.f64 x x))))
(fma.f64 1/6 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) -1/12)))
(*.f64 (*.f64 y y) (+.f64 (*.f64 -1/12 (*.f64 x x)) 1/6))
(*.f64 (*.f64 y y) (fma.f64 -1/12 (*.f64 x x) 1/6))
(+.f64 (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(fma.f64 1/144 (*.f64 (*.f64 y y) (pow.f64 x 4)) (fma.f64 1/6 (*.f64 y y) (*.f64 -1/12 (*.f64 (*.f64 y y) (*.f64 x x)))))
(fma.f64 1/144 (*.f64 y (*.f64 y (pow.f64 x 4))) (fma.f64 1/6 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) -1/12))))
(fma.f64 1/144 (*.f64 (*.f64 y y) (pow.f64 x 4)) (*.f64 (*.f64 y y) (+.f64 (*.f64 -1/12 (*.f64 x x)) 1/6)))
(*.f64 (*.f64 y y) (+.f64 1/6 (fma.f64 -1/12 (*.f64 x x) (*.f64 1/144 (pow.f64 x 4)))))
(*.f64 (*.f64 y y) (+.f64 1/6 (fma.f64 1/144 (pow.f64 x 4) (*.f64 -1/12 (*.f64 x x)))))
(+.f64 (*.f64 -1/4320 (*.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (*.f64 1/144 (*.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(fma.f64 -1/4320 (*.f64 (*.f64 y y) (pow.f64 x 6)) (fma.f64 1/144 (*.f64 (*.f64 y y) (pow.f64 x 4)) (fma.f64 1/6 (*.f64 y y) (*.f64 -1/12 (*.f64 (*.f64 y y) (*.f64 x x))))))
(fma.f64 -1/4320 (*.f64 y (*.f64 y (pow.f64 x 6))) (fma.f64 1/144 (*.f64 y (*.f64 y (pow.f64 x 4))) (fma.f64 1/6 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) -1/12)))))
(+.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 1/144 (pow.f64 x 4)) 1/6)) (*.f64 (*.f64 y y) (+.f64 (*.f64 -1/12 (*.f64 x x)) (*.f64 -1/4320 (pow.f64 x 6)))))
(*.f64 (*.f64 y y) (+.f64 (fma.f64 -1/12 (*.f64 x x) 1/6) (fma.f64 1/144 (pow.f64 x 4) (*.f64 -1/4320 (pow.f64 x 6)))))
(*.f64 (*.f64 y y) (+.f64 (fma.f64 1/144 (pow.f64 x 4) (*.f64 -1/4320 (pow.f64 x 6))) (fma.f64 -1/12 (*.f64 x x) 1/6)))
(*.f64 y (*.f64 y (+.f64 (fma.f64 1/144 (pow.f64 x 4) (*.f64 -1/4320 (pow.f64 x 6))) (fma.f64 -1/12 (*.f64 x x) 1/6))))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (*.f64 1/6 (cos.f64 x)) (*.f64 y y))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 y (*.f64 (cos.f64 x) (*.f64 1/6 y)))

localize56.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiled 92 to 49 computations (46.7% saved)

series18.0ms (0.3%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
y
@0
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))
4.0ms
y
@0
(*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y)))
1.0ms
x
@inf
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))
1.0ms
x
@0
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))
1.0ms
y
@inf
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))

rewrite92.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
738×log-prod_binary64
391×fma-def_binary64
360×fma-neg_binary64
345×pow2_binary64
239×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
129128
2407528
Stop Event
1×node limit
Counts
3 → 142
Calls
Call 1
Inputs
(*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (*.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (/.f64 1 (neg.f64 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) 1) (/.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) (*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (*.f64 (pow.f64 (cbrt.f64 y) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 1/6)) (*.f64 y (sqrt.f64 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 1/6)) (*.f64 (*.f64 y (sqrt.f64 1/6)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/6) (sqrt.f64 (*.f64 (pow.f64 y 4) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 y) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/36 (/.f64 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) -1)))) 2) (cbrt.f64 (*.f64 1/36 (/.f64 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) -1)))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) 1/36)) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (/.f64 1 (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x))) (neg.f64 (fma.f64 1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) 1) (fma.f64 1/6 (*.f64 y y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2)) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 1/36 (pow.f64 y 4) -1)) (cos.f64 x)) (neg.f64 (fma.f64 1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (neg.f64 (fma.f64 1/36 (pow.f64 y 4) -1))) (neg.f64 (fma.f64 1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3) (pow.f64 (cos.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (cos.f64 x))) 1))))))

simplify114.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
705×fma-neg_binary64
578×times-frac_binary64
533×fma-def_binary64
527×associate-/l*_binary64
465×div-sub_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051805
1132757
2367737
31388701
46134697
Stop Event
1×node limit
Counts
190 → 164
Calls
Call 1
Inputs
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(/.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(-.f64 (+.f64 (*.f64 1/36 (/.f64 (pow.f64 y 4) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 2)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)))) (/.f64 1 (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)))
(-.f64 (+.f64 (*.f64 1/36 (/.f64 (pow.f64 y 4) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 2)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 4)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))))) (/.f64 1 (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)))
(-.f64 (+.f64 (*.f64 1/36 (/.f64 (pow.f64 y 4) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 2)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 6)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 4)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)))))) (/.f64 1 (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
Outputs
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
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 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 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 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
(*.f64 y (*.f64 y 1/6))
(+.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 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
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(fma.f64 y (*.f64 y 1/6) 1)
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (*.f64 y y))
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(/.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
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(fma.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)))
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(-.f64 (fma.f64 1/36 (/.f64 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) -1)) (fma.f64 -1/2 (/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (*.f64 x x)) (fma.f64 1/6 (*.f64 y y) -1)) (fma.f64 -1/720 (/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (pow.f64 x 6)) (fma.f64 1/6 (*.f64 y y) -1)) (*.f64 1/24 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (pow.f64 x 4))))))) (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1)))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (pow.f64 x 4)) (*.f64 -1/720 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (pow.f64 x 6)))))) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)))
(+.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (pow.f64 x 4)) (*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (*.f64 -1/720 (pow.f64 x 6))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (*.f64 -1/2 (*.f64 x x)) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1))) (*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(fma.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))) (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1))))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (cos.f64 x))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (cos.f64 x))
(*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (cos.f64 x))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (cos.f64 x))
(*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (cos.f64 x))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (cos.f64 x))
(*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (cos.f64 x))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (cos.f64 x))
(*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (cos.f64 x))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (cos.f64 x))
(*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (cos.f64 x))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (cos.f64 x))
(*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (cos.f64 x))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (cos.f64 x))
(*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 1/36 (pow.f64 y 4)) 1) (cos.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (cos.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (cos.f64 x))
(*.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 y (*.f64 y 1/6) -1)) (cos.f64 x))
(*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) -1)))
(cos.f64 x)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 y 1/6) 1) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 y 1/6) 1) (cos.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 y 1/6) 1) (cos.f64 x))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 (*.f64 y y) (*.f64 1/6 (cos.f64 x)))
(*.f64 y (*.f64 y (*.f64 1/6 (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 y 1/6) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 y 1/6) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 y 1/6) 1) (cos.f64 x))
(*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)))
(*.f64 (*.f64 1/6 (*.f64 y y)) (cos.f64 x))
(*.f64 (*.f64 y y) (*.f64 1/6 (cos.f64 x)))
(*.f64 y (*.f64 y (*.f64 1/6 (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 y 1/6) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 y 1/6) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(fma.f64 1/6 (*.f64 (*.f64 y y) (cos.f64 x)) (cos.f64 x))
(*.f64 (fma.f64 y (*.f64 y 1/6) 1) (cos.f64 x))

eval345.0ms (5.8%)

Compiler

Compiled 9631 to 5996 computations (37.7% saved)

prune118.0ms (2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New5072509
Fresh101
Picked011
Done066
Total5089517
Error
0b
Counts
517 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.8b
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
✓1.1b
(cos.f64 x)
▶61.4b
(*.f64 1/6 (*.f64 y y))
✓27.0b
(/.f64 (sinh.f64 y) y)
✓0.1b
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
✓0.8b
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))
27.5b
1
✓27.6b
(*.f64 y (/.f64 1 y))
✓61.2b
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)))
Compiler

Compiled 84 to 59 computations (29.8% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/6 (*.f64 y y))
Compiler

Compiled 12 to 6 computations (50% saved)

eval17.0ms (0.3%)

Compiler

Compiled 362 to 255 computations (29.6% saved)

prune17.0ms (0.3%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New35035
Fresh011
Picked011
Done077
Total35944
Error
0b
Counts
44 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.8b
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
✓1.1b
(cos.f64 x)
✓61.4b
(*.f64 1/6 (*.f64 y y))
✓27.0b
(/.f64 (sinh.f64 y) y)
✓0.1b
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
✓0.8b
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))
27.5b
1
✓27.6b
(*.f64 y (/.f64 1 y))
✓61.2b
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)))
Compiler

Compiled 84 to 59 computations (29.8% saved)

regimes87.0ms (1.5%)

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

5 calls:

36.0ms
(/.f64 (sinh.f64 y) y)
13.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
12.0ms
y
12.0ms
(cos.f64 x)
8.0ms
x
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 123 to 63 computations (48.8% saved)

regimes30.0ms (0.5%)

Counts
12 → 1
Calls
Call 1
Inputs
1
1
(*.f64 1/6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) y))
Outputs
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
Calls

5 calls:

8.0ms
y
7.0ms
x
6.0ms
(cos.f64 x)
2.0ms
(/.f64 (sinh.f64 y) y)
2.0ms
(/.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 104 to 56 computations (46.2% saved)

regimes39.0ms (0.7%)

Counts
10 → 1
Calls
Call 1
Inputs
1
1
(*.f64 1/6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
(*.f64 (cos.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))
Outputs
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
Calls

5 calls:

15.0ms
x
11.0ms
y
5.0ms
(cos.f64 x)
2.0ms
(/.f64 (sinh.f64 y) y)
2.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.8b1x
0.8b1y
0.8b1(cos.f64 x)
0.8b1(/.f64 (sinh.f64 y) y)
0.8b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 90 to 52 computations (42.2% saved)

regimes40.0ms (0.7%)

Counts
8 → 1
Calls
Call 1
Inputs
1
1
(*.f64 1/6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 y y)))
Outputs
(cos.f64 x)
Calls

4 calls:

12.0ms
y
11.0ms
(cos.f64 x)
9.0ms
x
4.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
1.1b1x
1.1b1y
1.1b1(cos.f64 x)
1.1b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 50 to 30 computations (40% saved)

regimes9.0ms (0.2%)

Accuracy

Total -34.1b remaining (-123.7%)

Threshold costs -34.1b (-123.7%)

Counts
4 → 1
Calls
Call 1
Inputs
1
1
(*.f64 1/6 (*.f64 y y))
(*.f64 y (/.f64 1 y))
Outputs
1
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
27.5b1x
27.5b1y
Compiler

Compiled 20 to 14 computations (30% saved)

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
12241
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
(cos.f64 x)
1
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) 1))
(cos.f64 x)
1
Compiler

Compiled 37 to 27 computations (27% saved)

soundness0.0ms (0%)

end32.0ms (0.5%)

Compiler

Compiled 29 to 15 computations (48.3% saved)

Profiling

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