Details

Time bar (total: 4.3s)

analyze680.0ms (15.7%)

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)

sample2.7s (61.8%)

Results
1.2s2025×body1024valid
809.0ms4677×body128valid
486.0ms1037×body512valid
156.0ms510×body256valid
7.0msbody2048valid

preprocess21.0ms (0.5%)

Algorithm
egg-herbie
Rules
16×fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02248
13848
25048
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)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (*.f64 z (sin.f64 x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 y (sin.f64 z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
21612
Stop Event
saturated
Counts
1 → 2
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)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

eval1.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))

series12.0ms (0.3%)

Counts
2 → 40
Calls

15 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
1.0ms
z
@0
(*.f64 z (sin.f64 y))
1.0ms
x
@-inf
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
1.0ms
y
@0
(*.f64 z (sin.f64 y))
1.0ms
x
@0
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

rewrite41.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
757×pow1_binary64
689×add-log-exp_binary64
689×log1p-expm1-u_binary64
689×expm1-log1p-u_binary64
81×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
115618
2185318
Stop Event
node limit
Counts
2 → 36
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.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 exp.f64 (log.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 +.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (cos.f64 y)) 1) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))

simplify39.0ms (0.9%)

Algorithm
egg-herbie
Rules
884×fma-def_binary64
624×distribute-lft-out_binary64
438×unswap-sqr_binary64
392×*-commutative_binary64
314×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042470
1115467
2295453
3846451
42540451
53410451
Stop Event
node limit
Counts
76 → 55
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/5040 (pow.f64 y 7) y)))
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))))))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x))
(fma.f64 y z (fma.f64 (*.f64 y y) (*.f64 x -1/2) x))
(fma.f64 y z (fma.f64 y (*.f64 y (*.f64 x -1/2)) x))
(fma.f64 y z (*.f64 x (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 (*.f64 y y) (*.f64 x -1/2) x))
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 y (*.f64 y (*.f64 x -1/2)) x))
(fma.f64 y (*.f64 y (*.f64 x -1/2)) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))

eval13.0ms (0.3%)

Compiler

Compiled 698 to 245 computations (64.9% saved)

prune21.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh000
Picked011
Done000
Total51556
Error
0.1b
Counts
56 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
29.6b
(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
41.5b
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
30.8b
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
29.2b
(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
0.1b
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Compiler

Compiled 157 to 97 computations (38.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
0.3b
(pow.f64 (sin.f64 y) 3)
12.2b
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))
33.2b
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))

series16.0ms (0.4%)

Counts
4 → 88
Calls

24 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))
2.0ms
z
@inf
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))
2.0ms
z
@-inf
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
1.0ms
z
@0
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))
1.0ms
y
@-inf
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))

rewrite56.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
542×log-prod_binary64
201×expm1-udef_binary64
201×log1p-udef_binary64
185×prod-diff_binary64
182×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
125333
2275233
Stop Event
node limit
Counts
4 → 102
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))
(pow.f64 (sin.f64 y) 3)
(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z)) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))))) (#(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 *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (cbrt.f64 (*.f64 (sin.f64 y) z)))))) (#(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 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)))))) (#(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 1 1/3) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) 1/3) (cbrt.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3/2) 1/3))))) (#(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 pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(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 (sin.f64 y)) z))))) (#(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 log1p.f64 (expm1.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 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1/3))))) (#(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 expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3) (pow.f64 (pow.f64 z 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 (pow.f64 (sin.f64 y) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 3/2) (pow.f64 (sin.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 3) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 3) (pow.f64 (sqrt.f64 (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (cos.f64 y)) 1) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (fma.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 y)) z) (exp.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z))) (exp.f64 (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))))

simplify81.0ms (1.9%)

Algorithm
egg-herbie
Rules
518×fma-def_binary64
411×distribute-rgt-in_binary64
350×associate-*l*_binary64
291×associate-*r*_binary64
280×distribute-lft-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0741071
12081045
26751013
324991013
437081010
543851010
648871010
Stop Event
node limit
Counts
190 → 140
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3)))))
(+.f64 (*.f64 -41/3024 (*.f64 (pow.f64 y 9) (pow.f64 z 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3))))))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 y 5)) (*.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 y 5)) (+.f64 (*.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)))
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)))
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)))
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)))
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 y 3) (pow.f64 z 3))
(pow.f64 (*.f64 y z) 3)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(fma.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3)) (*.f64 (pow.f64 y 3) (pow.f64 z 3)))
(*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3)))))
(fma.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3)) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3)))))
(+.f64 (*.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 7) 13/120)) (*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))))
(*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 7) 13/120 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))))
(+.f64 (*.f64 -41/3024 (*.f64 (pow.f64 y 9) (pow.f64 z 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3))) (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3))))))
(fma.f64 -41/3024 (*.f64 (pow.f64 z 3) (pow.f64 y 9)) (fma.f64 -1/2 (*.f64 (pow.f64 y 5) (pow.f64 z 3)) (fma.f64 (pow.f64 y 3) (pow.f64 z 3) (*.f64 13/120 (*.f64 (pow.f64 y 7) (pow.f64 z 3))))))
(+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 (pow.f64 y 7) 13/120) (pow.f64 y 3))) (*.f64 (pow.f64 z 3) (fma.f64 (pow.f64 y 5) -1/2 (*.f64 -41/3024 (pow.f64 y 9)))))
(*.f64 (pow.f64 z 3) (+.f64 (*.f64 -41/3024 (pow.f64 y 9)) (fma.f64 (pow.f64 y 7) 13/120 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)))))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))
(pow.f64 y 3)
(+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))
(+.f64 (pow.f64 y 3) (*.f64 (pow.f64 y 5) -1/2))
(fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))
(+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 y 5)) (*.f64 13/120 (pow.f64 y 7))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (*.f64 (pow.f64 y 7) 13/120)))
(+.f64 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)) (*.f64 (pow.f64 y 7) 13/120))
(fma.f64 (pow.f64 y 7) 13/120 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3)))
(+.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (pow.f64 y 5)) (+.f64 (*.f64 -41/3024 (pow.f64 y 9)) (*.f64 13/120 (pow.f64 y 7)))))
(+.f64 (pow.f64 y 3) (fma.f64 -1/2 (pow.f64 y 5) (fma.f64 -41/3024 (pow.f64 y 9) (*.f64 (pow.f64 y 7) 13/120))))
(+.f64 (pow.f64 y 3) (fma.f64 (pow.f64 y 5) -1/2 (fma.f64 (pow.f64 y 7) 13/120 (*.f64 -41/3024 (pow.f64 y 9)))))
(+.f64 (*.f64 -41/3024 (pow.f64 y 9)) (fma.f64 (pow.f64 y 7) 13/120 (fma.f64 (pow.f64 y 5) -1/2 (pow.f64 y 3))))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 y z (fma.f64 (*.f64 -1/2 (*.f64 y y)) x x))
(fma.f64 y z (*.f64 x (fma.f64 (*.f64 y -1/2) y 1)))
(fma.f64 y z (fma.f64 x (*.f64 y (*.f64 y -1/2)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 (*.f64 -1/2 (*.f64 y y)) x x)))
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 x (fma.f64 (*.f64 y -1/2) y 1)))
(fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 x (*.f64 y (*.f64 y -1/2)) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)))
(neg.f64 (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 z (*.f64 (sin.f64 y) (neg.f64 (cbrt.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (*.f64 (sin.f64 y) (cbrt.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 z (sin.f64 y)))) (*.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 (*.f64 z (sin.f64 y)) (cbrt.f64 -1)) (*.f64 (cos.f64 y) x))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (*.f64 z (cbrt.f64 -1))))
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 z (*.f64 (sin.f64 y) (cbrt.f64 -1))))

eval38.0ms (0.9%)

Compiler

Compiled 2177 to 991 computations (54.5% saved)

prune83.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1364140
Fresh123
Picked011
Done011
Total1378145
Error
0.0b
Counts
145 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
35.9b
(fma.f64 x (cos.f64 y) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z)))
30.8b
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
0.6b
(fma.f64 x (cos.f64 y) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
29.2b
(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
29.6b
(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
41.5b
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
0.6b
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
0.1b
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Compiler

Compiled 243 to 147 computations (39.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series17.0ms (0.4%)

Counts
4 → 60
Calls

18 calls:

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

rewrite52.0ms (1.2%)

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
0927
118127
2201527
Stop Event
node limit
Counts
4 → 72
Calls
Call 1
Inputs
(cbrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))
(*.f64 (cbrt.f64 (sin.f64 y)) z)
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 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 expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))))))
((#(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 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 expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))))
((#(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 (sin.f64 y)) z))))) (#(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 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 3) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sin.f64 y) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)))))))

simplify72.0ms (1.7%)

Algorithm
egg-herbie
Rules
1310×fma-def_binary64
614×unswap-sqr_binary64
319×associate-*l*_binary64
306×*-commutative_binary64
255×sqr-pow_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
036460
198457
2244446
3672444
41977444
52370444
62798444
73703444
83909444
94213442
Stop Event
node limit
Counts
132 → 85
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 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 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 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) y))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 -1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.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 (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 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 y)) 1/3) z)
(*.f64 z (cbrt.f64 (sin.f64 y)))

eval46.0ms (1.1%)

Compiler

Compiled 1895 to 736 computations (61.2% saved)

prune45.0ms (1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh055
Picked011
Done022
Total1098117
Error
0.0b
Counts
117 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
35.9b
(fma.f64 x (cos.f64 y) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z)))
30.8b
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
0.6b
(fma.f64 x (cos.f64 y) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
29.2b
(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
29.6b
(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
41.5b
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
0.6b
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
0.1b
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Compiler

Compiled 225 to 136 computations (39.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series21.0ms (0.5%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
5.0ms
z
@0
(cbrt.f64 z)
2.0ms
y
@inf
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
2.0ms
z
@0
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
2.0ms
y
@inf
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
1.0ms
z
@-inf
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))

rewrite49.0ms (1.1%)

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
0926
118126
2201126
Stop Event
node limit
Counts
4 → 71
Calls
Call 1
Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
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 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 expm1.f64 (log1p.f64 (cbrt.f64 z)))))))
((#(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 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 expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))))
((#(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 (sin.f64 y)) z))))) (#(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 z (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y))))))) (#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z (cbrt.f64 z)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))))

simplify72.0ms (1.6%)

Algorithm
egg-herbie
Rules
654×distribute-lft-out_binary64
556×unswap-sqr_binary64
360×*-commutative_binary64
269×fma-def_binary64
216×sqr-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047410
1136407
2402366
31405352
42396352
53245352
63382352
73549352
83676352
93827352
Stop Event
node limit
Counts
107 → 89
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)
(*.f64 y (cbrt.f64 (*.f64 z z)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (*.f64 y (cbrt.f64 (*.f64 z z))))
(*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 (*.f64 z z))) (*.f64 y (cbrt.f64 (*.f64 z z)))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (cbrt.f64 (*.f64 z z)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 (*.f64 z z))) (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (cbrt.f64 (*.f64 z z))) (*.f64 y (cbrt.f64 (*.f64 z z))))))
(+.f64 (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))) (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 (cbrt.f64 (*.f64 z z)) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 (cbrt.f64 (*.f64 z z)) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))

eval35.0ms (0.8%)

Compiler

Compiled 1954 to 885 computations (54.7% saved)

prune43.0ms (1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1102112
Fresh044
Picked011
Done123
Total1119120
Error
0.0b
Counts
120 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
35.9b
(fma.f64 x (cos.f64 y) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z)))
30.8b
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
29.6b
(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
0.8b
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 z)))
41.5b
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
0.9b
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)) (cbrt.f64 z)))
0.6b
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
29.2b
(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
0.1b
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Compiler

Compiled 162 to 100 computations (38.3% saved)

regimes36.0ms (0.8%)

Accuracy

Total -60.6b remaining (-55407.8%)

Threshold costs -60.6b (-55407.8%)

Counts
12 → 1
Calls
Call 1
Inputs
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 z)))
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 3) 2)) (cbrt.f64 z)))
(fma.f64 x (cos.f64 y) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z)))
(fma.f64 x (cos.f64 y) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) 3))
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
(/.f64 (-.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(fma.f64 x (cos.f64 y) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Results
TimeErrorSegmentsBranch
8.0ms0.1b1x
7.0ms0.1b1y
7.0ms0.1b1z
9.0ms0.1b1(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 197 to 80 computations (59.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
1912
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

end15.0ms (0.3%)

Stop Event
fuel
Compiler

Compiled 22 to 14 computations (36.4% saved)

Profiling

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