Details

Time bar (total: 5.4s)

analyze708.0ms (13.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
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)

sample2.4s (44%)

Results
1.1s5951×body128valid
828.0ms1303×body1024valid
292.0ms652×body512valid
111.0ms344×body256valid
7.0ms6×body2048valid

preprocess55.0ms (1%)

Algorithm
2×egg-herbie
Rules
792×fma-neg_binary64
611×fma-def_binary64
200×cancel-sign-sub-inv_binary64
156×distribute-rgt-in_binary64
142×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02256
15756
212856
323756
442856
569756
6122056
7208656
8273356
9311656
10314856
033
Stop Event
1×saturated
1×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 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x))))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 z (-.f64 (cos.f64 y) (*.f64 x (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 z (*.f64 x (sin.f64 y))))
(fma.f64 (sin.f64 y) (neg.f64 x) (+.f64 (cos.f64 y) z))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 x) z))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(+.f64 x (-.f64 (cos.f64 z) (*.f64 y (sin.f64 z))))
(+.f64 (cos.f64 z) (-.f64 x (*.f64 y (sin.f64 z))))
(-.f64 (cos.f64 z) (fma.f64 y (sin.f64 z) (neg.f64 x)))
(+.f64 (cos.f64 z) (fma.f64 (sin.f64 z) (neg.f64 y) x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify17.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
228×fma-def_binary64
171×fma-neg_binary64
68×cancel-sign-sub-inv_binary64
44×distribute-rgt-in_binary64
42×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11814
23814
36714
411814
518314
632414
753114
868114
984614
1095014
1196014
Stop Event
1×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)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))

eval1.0ms (0%)

Compiler

Compiled 21 to 10 computations (52.4% saved)

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓0.1b
(*.f64 z (sin.f64 y))

series9.0ms (0.2%)

Counts
2 → 40
Calls

15 calls:

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

rewrite68.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
460×fma-def_binary64
217×fma-neg_binary64
194×expm1-udef_binary64
194×log1p-udef_binary64
159×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
120220
2300620
Stop Event
1×node limit
Counts
2 → 142
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(-.f64 (+.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 (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 pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(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 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 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 +.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 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log.f64 (/.f64 (exp.f64 (+.f64 x (cos.f64 y))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (cos.f64 y)) (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 (exp.f64 (cos.f64 y)) (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (exp.f64 (*.f64 (sin.f64 y) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x (cos.f64 y))) (/.f64 1 (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 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simplify39.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
654×cancel-sign-sub-inv_binary64
392×associate-*l*_binary64
391×fma-neg_binary64
283×associate-*r*_binary64
261×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053536
1154530
2404519
31216512
42959509
Stop Event
1×node limit
Counts
182 → 165
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 (cos.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)))
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)))
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 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) 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 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.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 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 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.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 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(-.f64 (+.f64 x 1) (*.f64 y z))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 (fma.f64 -1/2 (*.f64 y y) x) (-.f64 1 (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 y (*.f64 y -1/2) x) (*.f64 y z)))
(-.f64 (fma.f64 -1/2 (*.f64 y y) x) (fma.f64 y z -1))
(-.f64 x (fma.f64 y (+.f64 z (*.f64 y 1/2)) -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (-.f64 1 (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 y (*.f64 y -1/2) (fma.f64 z (*.f64 (pow.f64 y 3) 1/6) x)) (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))
(-.f64 (fma.f64 -1/2 (*.f64 y y) x) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) -1))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))

eval37.0ms (0.7%)

Compiler

Compiled 2988 to 738 computations (75.3% saved)

prune414.0ms (7.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1596165
Fresh000
Picked101
Done000
Total1606166
Error
0.0b
Counts
166 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶2.1b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
15.4b
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
20.6b
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
35.0b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
22.9b
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
23.0b
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
Compiler

Compiled 322 to 172 computations (46.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
✓0.3b
(pow.f64 (sin.f64 y) 2)
✓0.6b
(cbrt.f64 (sin.f64 y))
✓17.2b
(cbrt.f64 (pow.f64 (sin.f64 y) 2))

series28.0ms (0.5%)

Counts
4 → 40
Calls

15 calls:

TimeVariablePointExpression
11.0ms
y
@-inf
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
4.0ms
z
@0
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
2.0ms
y
@inf
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
2.0ms
y
@inf
(cbrt.f64 (sin.f64 y))
2.0ms
y
@-inf
(cbrt.f64 (sin.f64 y))

rewrite49.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
746×pow1_binary64
687×log1p-expm1-u_binary64
687×expm1-log1p-u_binary64
96×add-sqr-sqrt_binary64
91×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
120130
2229430
Stop Event
1×node limit
Counts
4 → 88
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 2)
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
Outputs
((#(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 (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 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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(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 pow.f64 (sin.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.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 exp.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) 1))))) (#(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 -.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 (cbrt.f64 (pow.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 (pow.f64 (sin.f64 y) 2) 1/6)))) (#(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 (sin.f64 y)) 1)))) (#(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 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 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 -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (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 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))) (#(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 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 3) 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 neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z z) (cbrt.f64 (pow.f64 (sin.f64 y) 4))))))) (#(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 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 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 cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 3)))))) (#(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))))) (#(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)))))))

simplify45.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
507×distribute-rgt-out_binary64
449×unswap-sqr_binary64
377×distribute-lft-out_binary64
376×associate-*l*_binary64
364×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031424
178422
2176422
3486422
41989422
54527422
Stop Event
1×node limit
Counts
128 → 100
Calls
Call 1
Inputs
(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)
(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 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
Outputs
(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))
(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 y 2)
(*.f64 y y)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(fma.f64 -1/3 (pow.f64 y 4) (*.f64 y y))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 y y (*.f64 2/45 (pow.f64 y 6))))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(fma.f64 -1/3 (pow.f64 y 4) (+.f64 (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)) (*.f64 -1/315 (pow.f64 y 8))))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (fma.f64 y y (*.f64 -1/315 (pow.f64 y 8)))))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (fma.f64 -1/315 (pow.f64 y 8) (*.f64 y y))))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 y 4) -1/315 -1/3) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)))
(fma.f64 y y (fma.f64 2/45 (pow.f64 y 6) (*.f64 (pow.f64 y 4) (fma.f64 (pow.f64 y 4) -1/315 -1/3))))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))

eval31.0ms (0.6%)

Compiler

Compiled 1984 to 767 computations (61.3% saved)

prune214.0ms (3.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh235
Picked011
Done000
Total988106
Error
0.0b
Counts
106 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
4.6b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
7.6b
(fma.f64 (*.f64 (neg.f64 z) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) 1)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
▶2.3b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (+.f64 x (cos.f64 y)))
✓2.1b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
15.4b
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
2.5b
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
20.6b
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
35.0b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
Compiler

Compiled 321 to 203 computations (36.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)
✓0.6b
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
0.6b
(cbrt.f64 (sin.f64 y))
17.2b
(cbrt.f64 (pow.f64 (sin.f64 y) 2))

series53.0ms (1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
25.0ms
y
@inf
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
23.0ms
y
@-inf
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
2.0ms
y
@0
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
1.0ms
y
@0
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)
1.0ms
y
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)

rewrite35.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
530×pow1_binary64
490×add-log-exp_binary64
490×log1p-expm1-u_binary64
490×expm1-log1p-u_binary64
476×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
113717
2142217
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4))) (sqrt.f64 (cbrt.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 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 y) 1/6) 1/3) (pow.f64 (pow.f64 (sin.f64 y) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6) (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (cbrt.f64 (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))))

simplify49.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
594×distribute-rgt-out_binary64
439×*-commutative_binary64
330×unswap-sqr_binary64
291×+-commutative_binary64
277×associate-+l+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058624
1163622
2401606
31421593
42771386
53948386
Stop Event
1×node limit
Counts
61 → 56
Calls
Call 1
Inputs
(pow.f64 y 1/9)
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (pow.f64 y 1/9))
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (+.f64 (*.f64 -13/29160 (pow.f64 (pow.f64 y 37) 1/9)) (pow.f64 y 1/9)))
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (+.f64 (*.f64 -953/33067440 (pow.f64 (pow.f64 y 55) 1/9)) (+.f64 (*.f64 -13/29160 (pow.f64 (pow.f64 y 37) 1/9)) (pow.f64 y 1/9))))
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (pow.f64 y 2) 1/9)
(+.f64 (*.f64 -1/27 (pow.f64 (pow.f64 y 20) 1/9)) (pow.f64 (pow.f64 y 2) 1/9))
(+.f64 (*.f64 -1/27 (pow.f64 (pow.f64 y 20) 1/9)) (+.f64 (*.f64 (+.f64 (*.f64 -13/14580 (pow.f64 (pow.f64 y 2) 1/9)) (*.f64 1/2916 (pow.f64 (pow.f64 y 2) 1/9))) (pow.f64 y 4)) (pow.f64 (pow.f64 y 2) 1/9)))
(+.f64 (*.f64 -1/27 (pow.f64 (pow.f64 y 20) 1/9)) (+.f64 (*.f64 (+.f64 (*.f64 -13/14580 (pow.f64 (pow.f64 y 2) 1/9)) (*.f64 1/2916 (pow.f64 (pow.f64 y 2) 1/9))) (pow.f64 y 4)) (+.f64 (pow.f64 (pow.f64 y 2) 1/9) (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -953/16533720 (pow.f64 (pow.f64 y 2) 1/9)) (*.f64 13/787320 (pow.f64 (pow.f64 y 2) 1/9)))))))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
Outputs
(pow.f64 y 1/9)
(*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))
(pow.f64 (pow.f64 y 1/36) 4)
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (pow.f64 y 1/9))
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (pow.f64 (pow.f64 y 1/36) 4))
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (+.f64 (*.f64 -13/29160 (pow.f64 (pow.f64 y 37) 1/9)) (pow.f64 y 1/9)))
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (fma.f64 -13/29160 (pow.f64 (pow.f64 (pow.f64 y 37) 1/36) 4) (pow.f64 (pow.f64 y 1/36) 4)))
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (+.f64 (*.f64 -953/33067440 (pow.f64 (pow.f64 y 55) 1/9)) (+.f64 (*.f64 -13/29160 (pow.f64 (pow.f64 y 37) 1/9)) (pow.f64 y 1/9))))
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -953/33067440 (*.f64 (pow.f64 (pow.f64 y 55) 1/18) (pow.f64 (pow.f64 y 55) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))))
(fma.f64 -953/33067440 (*.f64 (pow.f64 (pow.f64 y 55) 1/18) (pow.f64 (pow.f64 y 55) 1/18)) (fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (fma.f64 -953/33067440 (pow.f64 (pow.f64 (pow.f64 y 55) 1/36) 4) (fma.f64 -13/29160 (pow.f64 (pow.f64 (pow.f64 y 37) 1/36) 4) (pow.f64 (pow.f64 y 1/36) 4))))
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (pow.f64 y 2) 1/9)
(*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18))
(pow.f64 (pow.f64 (*.f64 y y) 1/36) 4)
(+.f64 (*.f64 -1/27 (pow.f64 (pow.f64 y 20) 1/9)) (pow.f64 (pow.f64 y 2) 1/9))
(fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)))
(fma.f64 -1/27 (pow.f64 (pow.f64 (pow.f64 y 20) 1/36) 4) (pow.f64 (pow.f64 (*.f64 y y) 1/36) 4))
(+.f64 (*.f64 -1/27 (pow.f64 (pow.f64 y 20) 1/9)) (+.f64 (*.f64 (+.f64 (*.f64 -13/14580 (pow.f64 (pow.f64 y 2) 1/9)) (*.f64 1/2916 (pow.f64 (pow.f64 y 2) 1/9))) (pow.f64 y 4)) (pow.f64 (pow.f64 y 2) 1/9)))
(fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645) (pow.f64 y 4) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18))))
(fma.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 (pow.f64 y 4) -2/3645) (fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18))))
(fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (*.f64 (+.f64 (*.f64 (pow.f64 y 4) -2/3645) 1) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18))))
(fma.f64 -1/27 (pow.f64 (pow.f64 (pow.f64 y 20) 1/36) 4) (*.f64 (pow.f64 (pow.f64 (*.f64 y y) 1/36) 4) (+.f64 1 (*.f64 (pow.f64 y 4) -2/3645))))
(+.f64 (*.f64 -1/27 (pow.f64 (pow.f64 y 20) 1/9)) (+.f64 (*.f64 (+.f64 (*.f64 -13/14580 (pow.f64 (pow.f64 y 2) 1/9)) (*.f64 1/2916 (pow.f64 (pow.f64 y 2) 1/9))) (pow.f64 y 4)) (+.f64 (pow.f64 (pow.f64 y 2) 1/9) (*.f64 (pow.f64 y 6) (+.f64 (*.f64 -953/16533720 (pow.f64 (pow.f64 y 2) 1/9)) (*.f64 13/787320 (pow.f64 (pow.f64 y 2) 1/9)))))))
(fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645) (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (*.f64 (pow.f64 y 6) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -17/413343)))))
(fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -2/3645) (pow.f64 y 4) (fma.f64 (pow.f64 y 6) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) -17/413343) (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)))))
(fma.f64 -1/27 (*.f64 (pow.f64 (pow.f64 y 20) 1/18) (pow.f64 (pow.f64 y 20) 1/18)) (fma.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18) (*.f64 (*.f64 (pow.f64 (*.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)) (+.f64 (*.f64 (pow.f64 y 6) -17/413343) (*.f64 (pow.f64 y 4) -2/3645)))))
(fma.f64 -1/27 (pow.f64 (pow.f64 (pow.f64 y 20) 1/36) 4) (*.f64 (pow.f64 (pow.f64 (*.f64 y y) 1/36) 4) (+.f64 (*.f64 (pow.f64 y 4) -2/3645) (+.f64 1 (*.f64 (pow.f64 y 6) -17/413343)))))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 1/36) 4)

eval67.0ms (1.2%)

Compiler

Compiled 4759 to 2075 computations (56.4% saved)

prune499.0ms (9.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh066
Picked101
Done011
Total1628170
Error
0b
Counts
170 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
4.6b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
7.6b
(fma.f64 (*.f64 (neg.f64 z) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) 1)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
▶2.3b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (*.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (+.f64 x (cos.f64 y)))
✓2.1b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
15.4b
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
2.5b
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
20.6b
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
35.0b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
Compiler

Compiled 325 to 209 computations (35.7% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.6b
(cbrt.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
0.6b
(cbrt.f64 (cbrt.f64 (sin.f64 y)))
0.6b
(cbrt.f64 (sin.f64 y))
17.2b
(cbrt.f64 (pow.f64 (sin.f64 y) 2))

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(cbrt.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
0.0ms
y
@inf
(cbrt.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
0.0ms
y
@-inf
(cbrt.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))))

rewrite38.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
484×pow1_binary64
448×expm1-log1p-u_binary64
447×add-log-exp_binary64
447×log1p-expm1-u_binary64
433×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11157
212407
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(cbrt.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 1/6)) (cbrt.f64 (pow.f64 (sin.f64 y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 y) 1/6) 1/3) (pow.f64 (pow.f64 (sin.f64 y) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y)))))))))

simplify58.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
576×sqr-pow_binary64
528×unswap-sqr_binary64
488×fma-def_binary64
443×associate-*l*_binary64
305×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026266
170266
2147266
3330266
4717178
51845178
63155178
73430178
83765178
94265178
Stop Event
1×node limit
Counts
31 → 28
Calls
Call 1
Inputs
(pow.f64 y 1/9)
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (pow.f64 y 1/9))
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (+.f64 (*.f64 -13/29160 (pow.f64 (pow.f64 y 37) 1/9)) (pow.f64 y 1/9)))
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (+.f64 (*.f64 -953/33067440 (pow.f64 (pow.f64 y 55) 1/9)) (+.f64 (*.f64 -13/29160 (pow.f64 (pow.f64 y 37) 1/9)) (pow.f64 y 1/9))))
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
(pow.f64 (sin.f64 y) 1/9)
Outputs
(pow.f64 y 1/9)
(*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))
(pow.f64 (pow.f64 y 1/36) 4)
(pow.f64 (pow.f64 y 1/72) 8)
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (pow.f64 y 1/9))
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (pow.f64 (pow.f64 y 1/36) 4))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (pow.f64 (pow.f64 y 1/72) 8))
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (+.f64 (*.f64 -13/29160 (pow.f64 (pow.f64 y 37) 1/9)) (pow.f64 y 1/9)))
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18))))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (fma.f64 -13/29160 (pow.f64 (pow.f64 (pow.f64 y 37) 1/36) 4) (pow.f64 (pow.f64 y 1/36) 4)))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (fma.f64 -13/29160 (pow.f64 (pow.f64 (pow.f64 y 37) 1/36) 4) (pow.f64 (pow.f64 y 1/72) 8)))
(+.f64 (*.f64 -1/54 (pow.f64 (pow.f64 y 19) 1/9)) (+.f64 (*.f64 -953/33067440 (pow.f64 (pow.f64 y 55) 1/9)) (+.f64 (*.f64 -13/29160 (pow.f64 (pow.f64 y 37) 1/9)) (pow.f64 y 1/9))))
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -953/33067440 (*.f64 (pow.f64 (pow.f64 y 55) 1/18) (pow.f64 (pow.f64 y 55) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))))
(fma.f64 -1/54 (*.f64 (pow.f64 (pow.f64 y 19) 1/18) (pow.f64 (pow.f64 y 19) 1/18)) (fma.f64 -13/29160 (*.f64 (pow.f64 (pow.f64 y 37) 1/18) (pow.f64 (pow.f64 y 37) 1/18)) (fma.f64 -953/33067440 (*.f64 (pow.f64 (pow.f64 y 55) 1/18) (pow.f64 (pow.f64 y 55) 1/18)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (fma.f64 -13/29160 (pow.f64 (pow.f64 (pow.f64 y 37) 1/36) 4) (fma.f64 -953/33067440 (pow.f64 (pow.f64 (pow.f64 y 55) 1/36) 4) (pow.f64 (pow.f64 y 1/36) 4))))
(fma.f64 -13/29160 (pow.f64 (pow.f64 (pow.f64 y 37) 1/36) 4) (fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (fma.f64 -953/33067440 (pow.f64 (pow.f64 (pow.f64 y 55) 1/36) 4) (pow.f64 (pow.f64 y 1/36) 4))))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (fma.f64 -953/33067440 (pow.f64 (pow.f64 (pow.f64 y 55) 1/36) 4) (fma.f64 -13/29160 (pow.f64 (pow.f64 (pow.f64 y 37) 1/36) 4) (pow.f64 (pow.f64 y 1/72) 8))))
(fma.f64 -1/54 (pow.f64 (pow.f64 (pow.f64 y 19) 1/36) 4) (fma.f64 -13/29160 (pow.f64 (pow.f64 (pow.f64 y 37) 1/36) 4) (fma.f64 -953/33067440 (pow.f64 (pow.f64 (pow.f64 y 55) 1/36) 4) (pow.f64 (pow.f64 y 1/72) 8))))
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 1/72) 8)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 1/72) 8)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 1/72) 8)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 1/72) 8)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 1/72) 8)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 1/72) 8)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 1/72) 8)
(pow.f64 (sin.f64 y) 1/9)
(*.f64 (pow.f64 (sin.f64 y) 1/18) (pow.f64 (sin.f64 y) 1/18))
(pow.f64 (pow.f64 (sin.f64 y) 1/36) 4)
(pow.f64 (pow.f64 (sin.f64 y) 1/72) 8)

eval65.0ms (1.2%)

Compiler

Compiled 4080 to 1720 computations (57.8% saved)

prune326.0ms (6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh066
Picked011
Done011
Total1348142
Error
0b
Counts
142 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
4.6b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
7.6b
(fma.f64 (*.f64 (neg.f64 z) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) 1)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
✓2.3b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (*.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (+.f64 x (cos.f64 y)))
✓2.1b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
15.4b
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
2.5b
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
20.6b
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
35.0b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
Compiler

Compiled 172 to 111 computations (35.5% saved)

regimes43.0ms (0.8%)

Accuracy

Total -51.7b remaining (-66158.8%)

Threshold costs -51.7b (-66158.8%)

Counts
12 → 1
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (*.f64 (cbrt.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) 1)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
TimeErrorSegmentsBranch
16.0ms0.1b1x
7.0ms0.1b1y
8.0ms0.1b1z
7.0ms0.1b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 283 to 110 computations (61.1% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11614
22814
33414
43814
53914
Stop Event
1×saturated
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)))

end18.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 24 to 16 computations (33.3% saved)

Profiling

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