Details

Time bar (total: 4.6s)

analyze625.0ms (13.5%)

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
0%99.9%0.1%6
25%74.9%0.1%7
37.4%62.4%0.1%8
37.4%62.4%0.1%9
56.2%43.7%0.1%10
65.5%34.3%0.1%11
65.5%34.3%0.1%12
76.5%23.4%0.1%13
81.9%17.9%0.1%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.8s (59.8%)

Results
1.4s2021×body1024valid
732.0ms4677×body128valid
424.0ms1048×body512valid
146.0ms505×body256valid
8.0msbody2048valid
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess40.0ms (0.9%)

Algorithm
egg-herbie
Rules
516×fma-def_binary64
380×fma-neg_binary64
130×cancel-sign-sub-inv_binary64
69×sub-neg_binary64
64×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02256
15356
210456
316756
426356
543556
674356
7113456
8166356
9190456
10193056
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Rules
171×fma-def_binary64
87×fma-neg_binary64
37×cancel-sign-sub-inv_binary64
23×distribute-rgt-neg-in_binary64
20×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11714
23214
34914
47614
512414
620514
730614
840814
952414
1058214
1158814
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.1b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))

series8.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 z (sin.f64 y))
1.0ms
x
@-inf
(*.f64 x (cos.f64 y))
1.0ms
y
@0
(*.f64 z (sin.f64 y))
1.0ms
x
@0
(*.f64 x (cos.f64 y))
1.0ms
y
@0
(*.f64 x (cos.f64 y))

rewrite41.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
740×pow1_binary64
673×add-log-exp_binary64
673×log1p-expm1-u_binary64
673×expm1-log1p-u_binary64
80×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
115512
2183612
Stop Event
node limit
Counts
2 → 28
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 y))))))))

simplify38.0ms (0.8%)

Algorithm
egg-herbie
Rules
672×distribute-rgt-neg-in_binary64
521×fma-neg_binary64
328×*-commutative_binary64
285×sub-neg_binary64
268×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049392
1139383
2429365
31695363
44040363
Stop Event
node limit
Counts
76 → 44
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(-.f64 (*.f64 y z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(-.f64 x (*.f64 1/2 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) x) (*.f64 1/2 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) x) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 y 6) x)) (*.f64 1/2 (*.f64 (pow.f64 y 2) x))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
Outputs
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(-.f64 (*.f64 y z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(-.f64 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (-.f64 y (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(-.f64 (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 y z)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 z (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 z (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (+.f64 (*.f64 (pow.f64 y 3) -1/6) (fma.f64 1/120 (pow.f64 y 5) y)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(-.f64 (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 y z)) (fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7)))))
(*.f64 z (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/5040 (pow.f64 y 7)))))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(-.f64 x (*.f64 1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 x (*.f64 -1/2 (*.f64 x (*.f64 y y))))
(-.f64 x (*.f64 (*.f64 y y) (*.f64 x 1/2)))
(fma.f64 (*.f64 (*.f64 -1/2 y) y) x x)
(fma.f64 (*.f64 y (*.f64 y x)) -1/2 x)
(fma.f64 (*.f64 y (*.f64 y -1/2)) x x)
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) x) (*.f64 1/2 (*.f64 (pow.f64 y 2) x)))
(+.f64 (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) x) (*.f64 -1/2 (*.f64 x (*.f64 y y))))
(+.f64 (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) x) (*.f64 (*.f64 y (*.f64 y x)) -1/2))
(*.f64 x (+.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (*.f64 (*.f64 -1/2 y) y)))
(*.f64 x (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 x (*.f64 x (fma.f64 1/24 (pow.f64 y 4) (*.f64 y (*.f64 y -1/2)))))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) x) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 y 6) x)) (*.f64 1/2 (*.f64 (pow.f64 y 2) x))))
(-.f64 (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) x) (fma.f64 1/720 (*.f64 x (pow.f64 y 6)) (*.f64 1/2 (*.f64 x (*.f64 y y)))))
(-.f64 (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) x) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 y y)) (*.f64 1/720 (pow.f64 y 6)))))
(+.f64 x (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 y 4)) (fma.f64 1/2 (*.f64 y y) (*.f64 1/720 (pow.f64 y 6))))))
(*.f64 x (-.f64 (fma.f64 1/24 (pow.f64 y 4) 1) (fma.f64 1/2 (*.f64 y y) (*.f64 1/720 (pow.f64 y 6)))))
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)

prune32.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New39544
Fresh000
Picked101
Done000
Total40545
Error
0.1b
Counts
45 → 5
Alt Table
StatusErrorProgram
0.5b
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
32.9b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
0.9b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
21.2b
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
26.9b
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
Compiler

Compiled 780 to 387 computations (50.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))
0.7b
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
9.3b
(cbrt.f64 (*.f64 z (sin.f64 y)))

series19.0ms (0.4%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
3.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
2.0ms
z
@-inf
(cbrt.f64 (*.f64 z (sin.f64 y)))
2.0ms
y
@inf
(cbrt.f64 (*.f64 z (sin.f64 y)))
2.0ms
y
@-inf
(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite36.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
638×pow1_binary64
596×add-log-exp_binary64
596×log1p-expm1-u_binary64
596×expm1-log1p-u_binary64
71×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116614
2166914
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))))

simplify72.0ms (1.6%)

Algorithm
egg-herbie
Rules
730×sqr-pow_binary64
370×cube-prod_binary64
362×unswap-sqr_binary64
313×pow-sqr_binary64
283×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07112
114112
219112
328112
450112
5139112
6519112
71180112
81270112
91406112
101567112
111798112
122123112
132547112
143050112
153650112
164375112
174698112
184984112
Stop Event
node limit
Counts
72 → 58
Calls
Call 1
Inputs
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
Outputs
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(pow.f64 (*.f64 (sin.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)

prune101.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New984102
Fresh044
Picked101
Done000
Total998107
Error
0.0b
Counts
107 → 8
Alt Table
StatusErrorProgram
0.5b
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)) 3))
0.6b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
26.9b
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.5b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
0.5b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
32.9b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
0.9b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
21.2b
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
Compiler

Compiled 1980 to 872 computations (56% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
0.3b
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
0.5b
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
0.6b
(cbrt.f64 (sin.f64 y))

series19.0ms (0.4%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(cbrt.f64 (sin.f64 y))
2.0ms
z
@0
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
2.0ms
y
@-inf
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
2.0ms
y
@inf
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
2.0ms
y
@inf
(cbrt.f64 (sin.f64 y))

rewrite49.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
766×pow1_binary64
705×log1p-expm1-u_binary64
705×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
83×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118130
2201130
Stop Event
node limit
Counts
4 → 71
Calls
Call 1
Inputs
(cbrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sin.f64 y) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 4) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 1))))))

simplify38.0ms (0.8%)

Algorithm
egg-herbie
Rules
525×distribute-rgt-neg-in_binary64
476×fma-def_binary64
463×distribute-lft-neg-in_binary64
424×cancel-sign-sub-inv_binary64
346×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032526
194518
2266508
3928504
43474504
Stop Event
node limit
Counts
131 → 83
Calls
Call 1
Inputs
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(-.f64 (*.f64 y z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
Outputs
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(-.f64 (*.f64 y z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (-.f64 y (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))
(*.f64 z (fma.f64 (pow.f64 y 3) -1/6 y))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 y z)) (*.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 z (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 z (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/120 (pow.f64 y 5) (fma.f64 (pow.f64 y 3) -1/6 y)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(-.f64 (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 y z)) (fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 1/5040 (pow.f64 y 7)))))
(*.f64 z (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/5040 (pow.f64 y 7)))))
(*.f64 z (+.f64 (fma.f64 (pow.f64 y 3) -1/6 y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 (pow.f64 y 7) -1/5040))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (fma.f64 (pow.f64 y 3) -1/6 y)) (*.f64 (pow.f64 y 7) -1/5040)))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z)

prune113.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh257
Picked011
Done000
Total1078115
Error
0.0b
Counts
115 → 8
Alt Table
StatusErrorProgram
0.6b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 3) (cbrt.f64 (sin.f64 y))))
2.9b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y))))
0.5b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
32.9b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
0.9b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
21.2b
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
0.6b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
0.5b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
Compiler

Compiled 2264 to 971 computations (57.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
0.3b
(*.f64 (cbrt.f64 z) (sin.f64 y))
0.5b
(pow.f64 (cbrt.f64 z) 2)
0.6b
(cbrt.f64 z)

series17.0ms (0.4%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
5.0ms
z
@-inf
(*.f64 (cbrt.f64 z) (sin.f64 y))
3.0ms
z
@-inf
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
1.0ms
y
@inf
(*.f64 (cbrt.f64 z) (sin.f64 y))
1.0ms
z
@-inf
(pow.f64 (cbrt.f64 z) 2)
1.0ms
y
@0
(*.f64 (cbrt.f64 z) (sin.f64 y))

rewrite44.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
769×pow1_binary64
708×log1p-expm1-u_binary64
708×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
83×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
118123
2201323
Stop Event
node limit
Counts
4 → 72
Calls
Call 1
Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))))

simplify37.0ms (0.8%)

Algorithm
egg-herbie
Rules
685×fma-neg_binary64
386×*-commutative_binary64
291×distribute-lft-neg-in_binary64
285×distribute-rgt-neg-in_binary64
266×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041368
1124344
2437320
31938320
44603320
Stop Event
node limit
Counts
108 → 91
Calls
Call 1
Inputs
(*.f64 y (pow.f64 z 1/3))
(-.f64 (*.f64 y (pow.f64 z 1/3)) (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 1/3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (pow.f64 z 1/3))) (*.f64 y (pow.f64 z 1/3))) (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 1/3))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (pow.f64 z 1/3))) (*.f64 y (pow.f64 z 1/3))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (pow.f64 z 1/3))) (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 1/3)))))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 y z)
(-.f64 (*.f64 y z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
(*.f64 (sin.f64 y) z)
Outputs
(*.f64 y (pow.f64 z 1/3))
(*.f64 y (cbrt.f64 z))
(-.f64 (*.f64 y (pow.f64 z 1/3)) (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 1/3))))
(-.f64 (*.f64 y (cbrt.f64 z)) (*.f64 1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3))))
(*.f64 (cbrt.f64 z) (-.f64 y (*.f64 1/6 (pow.f64 y 3))))
(*.f64 (cbrt.f64 z) (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (pow.f64 z 1/3))) (*.f64 y (pow.f64 z 1/3))) (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 1/3))))
(+.f64 (fma.f64 1/120 (*.f64 (cbrt.f64 z) (pow.f64 y 5)) (*.f64 y (cbrt.f64 z))) (*.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3))))
(fma.f64 1/120 (*.f64 (cbrt.f64 z) (pow.f64 y 5)) (*.f64 (cbrt.f64 z) (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 (cbrt.f64 z) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 (cbrt.f64 z) (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 (pow.f64 y 3) -1/6)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (pow.f64 z 1/3))) (*.f64 y (pow.f64 z 1/3))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (pow.f64 z 1/3))) (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 1/3)))))
(-.f64 (fma.f64 1/120 (*.f64 (cbrt.f64 z) (pow.f64 y 5)) (*.f64 y (cbrt.f64 z))) (fma.f64 1/5040 (*.f64 (cbrt.f64 z) (pow.f64 y 7)) (*.f64 1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3)))))
(-.f64 (*.f64 (cbrt.f64 z) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) (*.f64 (cbrt.f64 z) (+.f64 (*.f64 1/5040 (pow.f64 y 7)) (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 (cbrt.f64 z) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 1/5040 (pow.f64 y 7) (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (pow.f64 z 1/3))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 y z)
(-.f64 (*.f64 y z) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 y z) (*.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (-.f64 y (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (+.f64 y (*.f64 (pow.f64 y 3) -1/6)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 y z)) (*.f64 -1/6 (*.f64 z (pow.f64 y 3))))
(fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 z (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 z (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 (pow.f64 y 3) -1/6)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 y z)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(-.f64 (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 y z)) (fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) (*.f64 z (+.f64 (*.f64 1/5040 (pow.f64 y 7)) (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 z (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 1/5040 (pow.f64 y 7) (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 z (sin.f64 y))

prune105.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh066
Picked011
Done011
Total1148122
Error
0.0b
Counts
122 → 8
Alt Table
StatusErrorProgram
0.6b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 3) (cbrt.f64 (sin.f64 y))))
2.9b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y))))
0.5b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y))))
32.9b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) 2) (*.f64 z (sin.f64 y)))
0.9b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y)))
21.2b
(-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))
0.6b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
0.5b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
Compiler

Compiled 2218 to 933 computations (57.9% saved)

regimes238.0ms (5.1%)

Accuracy

Total 0.1b remaining (42.3%)

Threshold costs 0.1b (42.3%)

Counts
91 → 1
Compiler

Compiled 1362 to 510 computations (62.6% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11814
23014
33614
44114
54314
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 1))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) 1))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

end131.0ms (2.8%)

Stop Event
fuel
Compiler

Compiled 180 to 119 computations (33.9% saved)

Profiling

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