Details

Time bar (total: 9.6s)

analyze202.0ms (2.1%)

Algorithm
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
6.2%93.7%0.1%6
37.5%62.4%0.1%7
37.5%62.4%0.1%8
43.7%45.3%11%9
43.7%44.5%11.8%10
46.8%35.5%17.7%11
46.8%34.9%18.2%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample4.6s (47.6%)

Results
1.2s5182×body256valid
1.2s2049×body1024invalid
1.1s1994×body1024valid
430.0ms2118×body256invalid
329.0ms1075×body512valid
285.0ms1023×body512invalid
9.0msbody2048valid

preprocess63.0ms (0.7%)

Algorithm
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
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify47.0ms (0.5%)

Algorithm
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
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (sinh.f64 y) (/.f64 (sin.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 (sin.f64 x) y))
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series41.0ms (0.4%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
28.0ms
y
@-inf
(sinh.f64 y)
3.0ms
y
@-inf
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
y
@inf
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
y
@0
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
x
@0
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

rewrite70.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify69.0ms (0.7%)

Algorithm
egg-herbie
Rules
433×*-commutative_binary64
396×associate-/l*_binary64
391×times-frac_binary64
373×unswap-sqr_binary64
298×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078970
1217949
2615899
32289848
46240848
Stop Event
node limit
Counts
122 → 109
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.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))))
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
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (/.f64 y x))
(/.f64 x (/.f64 y (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
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1
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(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))))
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y)))))
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (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)

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts
2 → 28
Calls

12 calls:

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

rewrite72.0ms (0.7%)

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

simplify62.0ms (0.6%)

Algorithm
egg-herbie
Rules
475×associate-/l*_binary64
459×times-frac_binary64
394×*-commutative_binary64
308×associate-/r*_binary64
235×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073714
1196705
2547690
31986637
45935637
Stop Event
node limit
Counts
89 → 85
Calls
Call 1
Inputs
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
Outputs
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 (*.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x))
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (*.f64 (*.f64 1/6 (*.f64 y y)) (sin.f64 x))))
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (fma.f64 1/6 (*.f64 y y) 1)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)) (*.f64 (*.f64 1/6 (*.f64 y y)) (sin.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (pow.f64 y 6)) (*.f64 1/6 (*.f64 y y)))) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 1/6 (*.f64 y y) (*.f64 1/5040 (pow.f64 y 6))) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 x (/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
(fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3))))
(fma.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 x 1/2) (*.f64 -1/12 (pow.f64 x 3))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))))))
(fma.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y (pow.f64 x 5)) 1/240))))
(fma.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (/.f64 (pow.f64 x 7) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5)))))))
(fma.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 -1/10080 (pow.f64 x 7))))))
(+.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 x 1/2) (*.f64 -1/12 (pow.f64 x 3)))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 -1/10080 (pow.f64 x 7)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (/.f64 x y)))
(fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/5040 (/.f64 (pow.f64 x 7) y) (/.f64 x y))))

eval91.0ms (1%)

Compiler

Compiled 3009 to 1366 computations (54.6% saved)

prune32.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2204224
Fresh000
Picked011
Done011
Total2206226
Error
0b
Counts
226 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
34.1b
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)))
40.6b
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
31.2b
(*.f64 (sinh.f64 y) (/.f64 x y))
1.3b
(sin.f64 x)
Compiler

Compiled 54 to 38 computations (29.6% saved)

localize4.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 x) y)
0.2b
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)))
0.4b
(pow.f64 (/.f64 (sin.f64 x) y) 3)
32.6b
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))
Compiler

Compiled 36 to 15 computations (58.3% saved)

series22.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
10.0ms
y
@-inf
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)))
2.0ms
y
@-inf
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))
2.0ms
x
@0
(pow.f64 (/.f64 (sin.f64 x) y) 3)
1.0ms
x
@inf
(pow.f64 (/.f64 (sin.f64 x) y) 3)
1.0ms
x
@-inf
(pow.f64 (/.f64 (sin.f64 x) y) 3)

rewrite82.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
468×log-prod_binary64
382×prod-exp_binary64
345×exp-prod_binary64
302×pow-prod-down_binary64
245×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
121726
2252626
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)))
Outputs
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(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) y)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (log.f64 (/.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) y)) 1) (log.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) y))) 1/3) (log.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 x) y)) (*.f64 (log.f64 (sinh.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) y)) 1) (*.f64 (log.f64 (sinh.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) y))) 1/3) (*.f64 (log.f64 (sinh.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (log.f64 (/.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sinh.f64 y)) (*.f64 (log.f64 (/.f64 (sin.f64 x) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (*.f64 (log.f64 (/.f64 (sin.f64 x) y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sinh.f64 y)) (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) y))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) y))) 1/3)))))))

simplify88.0ms (0.9%)

Algorithm
egg-herbie
Rules
685×associate-*l/_binary64
469×associate-*r/_binary64
462×associate-/r/_binary64
324×associate-/l/_binary64
324×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01041246
12781235
28781218
335531093
478581093
Stop Event
node limit
Counts
241 → 206
Calls
Call 1
Inputs
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3))) (*.f64 -41/3024 (/.f64 (pow.f64 x 9) (pow.f64 y 3))))))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
Outputs
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (*.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (/.f64 x y)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/5040 (/.f64 (pow.f64 x 7) y) (/.f64 x y))))
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 -1))) y)
(*.f64 (neg.f64 (/.f64 (cbrt.f64 -1) y)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (cbrt.f64 -1)) y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 -1))) y)
(*.f64 (neg.f64 (/.f64 (cbrt.f64 -1) y)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (cbrt.f64 -1)) y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 -1))) y)
(*.f64 (neg.f64 (/.f64 (cbrt.f64 -1) y)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (cbrt.f64 -1)) y))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (sin.f64 x)) y))
(neg.f64 (/.f64 (cbrt.f64 -1) (/.f64 y (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (cbrt.f64 -1))) y)
(*.f64 (neg.f64 (/.f64 (cbrt.f64 -1) y)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (cbrt.f64 -1)) y))
(/.f64 (pow.f64 x 3) (pow.f64 y 3))
(pow.f64 (/.f64 x y) 3)
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 y 3)))
(fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (pow.f64 (/.f64 x y) 3))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (/.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 y 3))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (/.f64 (*.f64 (pow.f64 x 5) -1/2) (pow.f64 y 3))))
(fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (pow.f64 (/.f64 x y) 3)))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 (*.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3))) (*.f64 -41/3024 (/.f64 (pow.f64 x 9) (pow.f64 y 3))))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (*.f64 -41/3024 (/.f64 (pow.f64 x 9) (pow.f64 y 3))))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (fma.f64 -41/3024 (/.f64 (pow.f64 x 9) (pow.f64 y 3)) (/.f64 (*.f64 (pow.f64 x 5) -1/2) (pow.f64 y 3)))))
(+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (pow.f64 x 5) (pow.f64 y 3)) (fma.f64 13/120 (/.f64 (pow.f64 x 7) (pow.f64 y 3)) (*.f64 -41/3024 (/.f64 (pow.f64 x 9) (pow.f64 y 3))))))
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(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
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(pow.f64 (/.f64 (sin.f64 x) y) 3)
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(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
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(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))
(pow.f64 (/.f64 (sin.f64 x) y) 3)
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y))))
(*.f64 (+.f64 (*.f64 (*.f64 1/6 y) y) 1) (sin.f64 x))
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(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))))
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (*.f64 (+.f64 (*.f64 (*.f64 1/6 y) y) 1) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 y (*.f64 y 1/6)) (fma.f64 1/120 (pow.f64 y 4) 1)))
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(fma.f64 (sin.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (*.f64 y (*.f64 y 1/6))) (*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 1/5040 (pow.f64 y 6) (*.f64 y (*.f64 y 1/6))) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(*.f64 (/.f64 (sin.f64 x) y) (*.f64 (*.f64 -1/2 (cbrt.f64 -1)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
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(*.f64 (/.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 y (cbrt.f64 -1))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 (*.f64 -1/2 (cbrt.f64 -1)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(*.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 y (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(*.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 y (cbrt.f64 -1))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 (*.f64 -1/2 (cbrt.f64 -1)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y))
(*.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 y (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(*.f64 -1/2 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (cbrt.f64 -1) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) -1/2) (/.f64 y (cbrt.f64 -1))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 (*.f64 -1/2 (cbrt.f64 -1)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2))
(*.f64 (/.f64 1/2 y) (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3))))
(fma.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/12)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))))))
(fma.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y (pow.f64 x 5)) 1/240))))
(fma.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 (pow.f64 x 3) -1/12) (*.f64 (pow.f64 x 5) 1/240))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 7)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5)))))))
(fma.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/2 (*.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/240 (*.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y (pow.f64 x 7)) -1/10080)))))
(+.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/12))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (*.f64 (pow.f64 x 7) -1/10080))))
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(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
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(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) y) (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
14.6b
(*.f64 (sinh.f64 y) (/.f64 x y))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series6.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
734×pow1_binary64
682×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
069
11299
217849
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(*.f64 (sinh.f64 y) (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) x) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 x)) (*.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (sinh.f64 y))) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.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) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (sinh.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.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 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))))

simplify71.0ms (0.7%)

Algorithm
egg-herbie
Rules
510×distribute-lft-in_binary64
490×distribute-rgt-out_binary64
482×distribute-rgt-in_binary64
455×fma-def_binary64
405×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032444
183444
2216438
3699415
42690415
55809415
Stop Event
node limit
Counts
54 → 39
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
Outputs
x
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 1/6 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(fma.f64 y (*.f64 x (*.f64 1/6 y)) x)
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x)
(*.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 x (fma.f64 1/6 (*.f64 y y) 1)))
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))) x)
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y))
0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
0.2b
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
13.8b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
Compiler

Compiled 39 to 10 computations (74.4% saved)

series157.0ms (1.6%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
138.0ms
x
@0
(sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y))
3.0ms
y
@-inf
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
3.0ms
x
@0
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
2.0ms
y
@inf
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)

rewrite131.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
481×log-prod_binary64
366×exp-prod_binary64
365×prod-exp_binary64
298×pow-prod-down_binary64
243×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
121343
2249443
Stop Event
node limit
Counts
4 → 241
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y))
Outputs
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(sin.f64 x) (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1) 1))))))

simplify182.0ms (1.9%)

Algorithm
egg-herbie
Rules
696×fma-def_binary64
660×distribute-rgt-in_binary64
518×times-frac_binary64
404×associate-*r*_binary64
398×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231841
13661811
211071656
346211555
Stop Event
node limit
Counts
313 → 222
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) y)
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/144 (sin.f64 x)) (*.f64 1/120 (sin.f64 x))) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 (+.f64 (*.f64 1/144 (sin.f64 x)) (*.f64 1/120 (sin.f64 x))) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 y (sin.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)))
(sqrt.f64 (sin.f64 x))
(+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 1/5040 (sin.f64 x)) (*.f64 1/12 (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x)))))
Outputs
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x))
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y) x)
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
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(fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (fma.f64 (sin.f64 x) 1/120 (*.f64 (sin.f64 x) -1/144)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/12 1)))
(fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (*.f64 (sin.f64 x) 1/720) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/12 1)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 (sin.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 y 6) (-.f64 (*.f64 1/5040 (sin.f64 x)) (*.f64 1/12 (-.f64 (*.f64 1/120 (sin.f64 x)) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x)))))
(fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (fma.f64 1/12 (*.f64 (*.f64 y y) (sqrt.f64 (sin.f64 x))) (fma.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (+.f64 (*.f64 (sin.f64 x) 1/5040) (*.f64 -1/12 (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2)))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x)))))
(+.f64 (fma.f64 (*.f64 (*.f64 1/2 (pow.f64 y 4)) (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 (*.f64 (*.f64 y y) 1/12) 1) (sqrt.f64 (sin.f64 x)))) (*.f64 1/2 (*.f64 (pow.f64 y 6) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (fma.f64 (sin.f64 x) 1/5040 (*.f64 -1/12 (-.f64 (*.f64 (sin.f64 x) 1/120) (pow.f64 (*.f64 1/12 (sqrt.f64 (sin.f64 x))) 2))))))))
(fma.f64 1/2 (*.f64 (pow.f64 y 4) (*.f64 (fma.f64 (sin.f64 x) 1/120 (*.f64 (sin.f64 x) -1/144)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (fma.f64 (pow.f64 y 6) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (fma.f64 -1/12 (fma.f64 (sin.f64 x) 1/120 (*.f64 (sin.f64 x) -1/144)) (*.f64 (sin.f64 x) 1/5040)))) (*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/12 1))))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/12 1)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 y 4) (*.f64 (sin.f64 x) 1/720)) (*.f64 (pow.f64 y 6) (fma.f64 -1/12 (*.f64 (sin.f64 x) 1/720) (*.f64 (sin.f64 x) 1/5040))))))

eval439.0ms (4.6%)

Compiler

Compiled 8268 to 3791 computations (54.1% saved)

prune375.0ms (3.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New5314535
Fresh000
Picked011
Done055
Total53110541
Error
0b
Counts
541 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
32.1b
(*.f64 y (/.f64 x y))
31.2b
(*.f64 (sinh.f64 y) (/.f64 x y))
31.4b
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x)
31.6b
x
0.2b
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
31.2b
(/.f64 (sinh.f64 y) (/.f64 y x))
34.1b
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)))
40.6b
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
1.3b
(sin.f64 x)
Compiler

Compiled 82 to 55 computations (32.9% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
14.6b
(*.f64 y (/.f64 x y))
Compiler

Compiled 12 to 4 computations (66.7% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite85.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
593×pow1_binary64
549×add-log-exp_binary64
549×log1p-expm1-u_binary64
549×expm1-log1p-u_binary64
536×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
214577
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 y (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x y))))))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
saturated
Counts
44 → 21
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
14.3b
(/.f64 (sinh.f64 y) (/.f64 y x))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series15.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
12.0ms
y
@0
(/.f64 (sinh.f64 y) (/.f64 y x))
1.0ms
y
@-inf
(/.f64 (sinh.f64 y) (/.f64 y x))
1.0ms
x
@-inf
(/.f64 (sinh.f64 y) (/.f64 y x))
1.0ms
y
@inf
(/.f64 (sinh.f64 y) (/.f64 y x))
1.0ms
x
@inf
(/.f64 (sinh.f64 y) (/.f64 y x))

rewrite150.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
826×pow1_binary64
771×add-log-exp_binary64
770×log1p-expm1-u_binary64
770×expm1-log1p-u_binary64
753×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11359
220179
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (sinh.f64 y) (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sinh.f64 y) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sinh.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sinh.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) y) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) y) (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 x y))))))))

simplify75.0ms (0.8%)

Algorithm
egg-herbie
Rules
510×distribute-lft-in_binary64
490×distribute-rgt-out_binary64
482×distribute-rgt-in_binary64
455×fma-def_binary64
405×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032444
183444
2216438
3699415
42690415
55809415
Stop Event
node limit
Counts
65 → 50
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
Outputs
x
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 1/6 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(fma.f64 y (*.f64 x (*.f64 1/6 y)) x)
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x)
(*.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 x (fma.f64 1/6 (*.f64 y y) 1)))
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))) x)
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))

localize36.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 y (*.f64 x 1/6))
0.3b
(*.f64 x 1/6)
Compiler

Compiled 21 to 12 computations (42.9% saved)

series5.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite50.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
557×pow1_binary64
514×add-log-exp_binary64
514×log1p-expm1-u_binary64
514×expm1-log1p-u_binary64
503×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
112111
2139911
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 x 1/6)
(*.f64 y (*.f64 x 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 1/6 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/6 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/6 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/6 y))))))))

simplify33.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07216
112216
217216
Stop Event
saturated
Counts
58 → 25
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 y x))
Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))
(*.f64 1/6 (*.f64 y x))
(*.f64 1/6 (*.f64 x y))

eval64.0ms (0.7%)

Compiler

Compiled 1307 to 591 computations (54.8% saved)

prune143.0ms (1.5%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New1206126
Fresh011
Picked101
Done268
Total12313136
Error
0b
Counts
136 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
31.6b
x
30.8b
(*.f64 (/.f64 (sinh.f64 y) y) x)
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
32.1b
(/.f64 y (/.f64 y x))
32.1b
(*.f64 y (/.f64 x y))
0.2b
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
45.2b
(/.f64 (*.f64 y x) y)
45.3b
(/.f64 1 (/.f64 y (*.f64 y x)))
61.1b
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
34.1b
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)))
31.9b
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 y x))
31.2b
(*.f64 (sinh.f64 y) (/.f64 x y))
1.3b
(sin.f64 x)
Compiler

Compiled 158 to 105 computations (33.5% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 16 to 5 computations (68.8% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite98.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
728×pow1_binary64
676×add-log-exp_binary64
675×log1p-expm1-u_binary64
675×expm1-log1p-u_binary64
660×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11299
217779
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 (sinh.f64 y) y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sinh.f64 y) y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sinh.f64 y) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sinh.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sinh.f64 y) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)))))))

simplify82.0ms (0.9%)

Algorithm
egg-herbie
Rules
510×distribute-lft-in_binary64
490×distribute-rgt-out_binary64
482×distribute-rgt-in_binary64
455×fma-def_binary64
405×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032444
183444
2216438
3699415
42690415
55809415
Stop Event
node limit
Counts
47 → 32
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
Outputs
x
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 1/6 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(fma.f64 y (*.f64 x (*.f64 1/6 y)) x)
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x)
(*.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))) x)
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 x (fma.f64 1/6 (*.f64 y y) 1)))
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))) x)
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (*.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
14.2b
(/.f64 y (/.f64 y x))
Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite62.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
560×pow1_binary64
524×add-log-exp_binary64
524×log1p-expm1-u_binary64
524×expm1-log1p-u_binary64
511×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11111
217061
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 y (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 y (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
saturated
Counts
59 → 36
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize46.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
13.6b
(/.f64 (*.f64 y x) y)
Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite70.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
621×pow1_binary64
577×add-log-exp_binary64
577×log1p-expm1-u_binary64
577×expm1-log1p-u_binary64
564×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
215137
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) (sqrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y y) x)))))))

simplify131.0ms (1.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
saturated
Counts
64 → 41
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (/.f64 y (*.f64 y x)))
13.8b
(/.f64 y (*.f64 y x))
Compiler

Compiled 20 to 7 computations (65% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite76.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
667×pow1_binary64
620×add-log-exp_binary64
620×log1p-expm1-u_binary64
620×expm1-log1p-u_binary64
605×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
11475
220375
Stop Event
node limit
Counts
2 → 79
Calls
Call 1
Inputs
(/.f64 y (*.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 y (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))

simplify46.0ms (0.5%)

Algorithm
egg-herbie
Rules
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04120
16120
Stop Event
saturated
Counts
127 → 81
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.1b
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
14.6b
(*.f64 y (/.f64 x y))
Compiler

Compiled 29 to 11 computations (62.1% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite125.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
973×pow1_binary64
909×add-log-exp_binary64
909×log1p-expm1-u_binary64
909×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11827
226857
Stop Event
node limit
Counts
1 → 62
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 y (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 y (/.f64 x y) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (/.f64 x y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 y (/.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 2) (cbrt.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) (sqrt.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) (+.f64 (*.f64 y (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 y (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) (+.f64 (*.f64 y (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y (/.f64 x y) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 y (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 y (/.f64 x y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 y (/.f64 x y) -1) (fma.f64 y (/.f64 x y) -1)) (fma.f64 y (/.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 y (/.f64 x y) -1) (fma.f64 y (/.f64 x y) -1))) (-.f64 1 (fma.f64 y (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (/.f64 x y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 x y) 1)) 2) (cbrt.f64 (fma.f64 y (/.f64 x y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (/.f64 x y) 1)) (sqrt.f64 (fma.f64 y (/.f64 x y) 1)) -1)))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
Stop Event
saturated
Counts
86 → 63
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

eval172.0ms (1.8%)

Compiler

Compiled 3515 to 1624 computations (53.8% saved)

prune150.0ms (1.6%)

Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New33212344
Fresh202
Picked101
Done01010
Total33522357
Error
0b
Counts
357 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(*.f64 (/.f64 (sinh.f64 y) y) x)
32.6b
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
0.2b
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
45.3b
(*.f64 (/.f64 1 y) (*.f64 y x))
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
32.1b
(/.f64 y (/.f64 y x))
32.1b
(*.f64 y (/.f64 x y))
31.6b
x
32.2b
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
45.3b
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
32.2b
(*.f64 (*.f64 (/.f64 1 y) x) y)
31.2b
(*.f64 (sinh.f64 y) (/.f64 x y))
46.2b
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y))
31.7b
(*.f64 (*.f64 (/.f64 1 y) y) x)
1.3b
(sin.f64 x)
60.7b
(-.f64 (+.f64 1 x) 1)
32.2b
(*.f64 y (/.f64 1 (/.f64 y x)))
31.7b
(/.f64 1 (/.f64 1 x))
48.0b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)) 2)
45.2b
(/.f64 (*.f64 y x) y)
45.3b
(/.f64 1 (/.f64 y (*.f64 y x)))
34.1b
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)))
Compiler

Compiled 188 to 132 computations (29.8% saved)

regimes244.0ms (2.5%)

Counts
28 → 1
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x y))
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 y (/.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
(sin.f64 x)
(*.f64 (/.f64 (sinh.f64 y) y) x)
(/.f64 (sinh.f64 y) (/.f64 y x))
(*.f64 (sinh.f64 y) (/.f64 x y))
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) y) x)) 2)
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) (/.f64 y x))
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) y) 3)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Calls

5 calls:

49.0ms
y
28.0ms
(sin.f64 x)
28.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms
x
5.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.0b1(sin.f64 x)
0.0b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 214 to 107 computations (50% saved)

regimes211.0ms (2.2%)

Counts
23 → 1
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x y))
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 y (/.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
(sin.f64 x)
(*.f64 (/.f64 (sinh.f64 y) y) x)
(/.f64 (sinh.f64 y) (/.f64 y x))
(*.f64 (sinh.f64 y) (/.f64 x y))
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
Outputs
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
Calls

5 calls:

126.0ms
y
44.0ms
(sin.f64 x)
28.0ms
x
3.0ms
(/.f64 (sinh.f64 y) y)
3.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
0.2b1(sin.f64 x)
0.2b1(/.f64 (sinh.f64 y) y)
0.2b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 166 to 88 computations (47% saved)

regimes120.0ms (1.3%)

Counts
22 → 1
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x y))
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 y (/.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
(sin.f64 x)
(*.f64 (/.f64 (sinh.f64 y) y) x)
(/.f64 (sinh.f64 y) (/.f64 y x))
(*.f64 (sinh.f64 y) (/.f64 x y))
(fma.f64 y (*.f64 y (*.f64 x 1/6)) x)
Outputs
(sin.f64 x)
Calls

4 calls:

54.0ms
y
24.0ms
(sin.f64 x)
23.0ms
x
9.0ms
(/.f64 (sinh.f64 y) y)
Results
ErrorSegmentsBranch
1.3b1x
1.3b1y
1.3b1(sin.f64 x)
1.3b1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 153 to 82 computations (46.4% saved)

regimes86.0ms (0.9%)

Accuracy

Total -29.9b remaining (-94.4%)

Threshold costs -29.9b (-94.4%)

Counts
17 → 1
Calls
Call 1
Inputs
x
x
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 y (/.f64 x y))
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 y (/.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
Outputs
x
Calls

2 calls:

20.0ms
y
19.0ms
x
Results
ErrorSegmentsBranch
31.6b1x
31.6b1y
Compiler

Compiled 115 to 65 computations (43.5% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11126
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(sin.f64 x)
x
Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(sin.f64 x)
x
Compiler

Compiled 25 to 17 computations (32% saved)

soundness0.0ms (0%)

end48.0ms (0.5%)

Compiler

Compiled 19 to 8 computations (57.9% saved)

Profiling

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