Details

Time bar (total: 13.7s)

analyze229.0ms (1.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
37.5%37.4%62.4%0.1%0%0%0%8
37.5%37.4%62.4%0.1%0%0%0%9
56.3%56.2%43.7%0.1%0%0%0%10
65.6%65.5%34.3%0.1%0%0%0%11
65.6%65.5%34.3%0.1%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample4.2s (31.1%)

Results
2.3s2142×body1024valid
1.2s5078×body256valid
667.0ms1033×body512valid
2.0ms3×body2048valid
Bogosity

preprocess161.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
2534×rational.json-simplify-42
1818×rational.json-simplify-45
1718×rational.json-simplify-35
1034×rational.json-simplify-2
846×rational.json-simplify-48
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
150108
273108
3109108
4187108
5333108
6800108
72041108
84430108
95366108
105761108
116242108
126545108
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 y (sin.f64 x)) (*.f64 z (cos.f64 x)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 z)) (*.f64 y (cos.f64 z)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify177.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
2180×rational.json-simplify-35
1772×rational.json-simplify-1
1258×rational.json-simplify-26
918×rational.json-simplify-2
658×rational.json-simplify-52
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
12027
22927
34327
47527
513127
629027
771627
8204227
9330627
10405027
11452827
12528127
13569727
14630327
15687627
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sin.f64 y)
✓0.0b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓0.1b
(*.f64 z (cos.f64 y))
✓0.2b
(*.f64 x (sin.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0%)

Counts
4 → 80
Calls

24 calls:

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

rewrite100.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
2020×bool.json-1
1032×bool.json-2
998×rational.json-1
998×rational.json-2
998×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
111354
231854
368954
4150254
5345754
6766554
Stop Event
1×node limit
Counts
4 → 69
Calls
Call 1
Inputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(sin.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (sin.f64 y) 1/2)) (*.f64 x (*.f64 (sin.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sin.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 y)) 8)) (*.f64 2 (*.f64 (*.f64 x (sin.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (sin.f64 y)) (*.f64 x (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 z 1/2)) (*.f64 (cos.f64 y) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (cos.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (cos.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 z (cos.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 z (cos.f64 y)) 8)) (*.f64 2 (*.f64 (*.f64 z (cos.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 z (cos.f64 y)) (*.f64 z (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (cos.f64 y) (*.f64 z 1/2)) (*.f64 x (*.f64 (sin.f64 y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x (*.f64 (sin.f64 y) 1/2)) (*.f64 (cos.f64 y) (*.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (+.f64 z z)) (*.f64 (sin.f64 y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sin.f64 y) (+.f64 x x)) (*.f64 (cos.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) (*.f64 2 (*.f64 (sin.f64 y) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 y) (sin.f64 y))))))

simplify238.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1980×rational.json-simplify-53
1766×rational.json-simplify-35
1208×rational.json-simplify-1
1164×rational.json-simplify-51
988×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01852591
13882591
29622567
321632543
441692543
549802543
657152543
764052543
871452543
972702543
Stop Event
1×node limit
Counts
149 → 129
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(+.f64 0 (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (*.f64 (sin.f64 y) 1/2)) (*.f64 x (*.f64 (sin.f64 y) 1/2)))
(-.f64 (*.f64 x (sin.f64 y)) 0)
(/.f64 (*.f64 x (sin.f64 y)) 1)
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(/.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 y)) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 y)) 8)) (*.f64 2 (*.f64 (*.f64 x (sin.f64 y)) 8))) 32)
(+.f64 (*.f64 z (cos.f64 y)) 0)
(+.f64 0 (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) (*.f64 z 1/2)) (*.f64 (cos.f64 y) (*.f64 z 1/2)))
(-.f64 (*.f64 z (cos.f64 y)) 0)
(/.f64 (*.f64 z (cos.f64 y)) 1)
(/.f64 (*.f64 (cos.f64 y) (+.f64 z z)) 2)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z 4)) 4)
(/.f64 (*.f64 (*.f64 z (cos.f64 y)) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 z (cos.f64 y)) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 z (cos.f64 y)) 8)) (*.f64 2 (*.f64 (*.f64 z (cos.f64 y)) 8))) 32)
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 0)
(*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1/2))
(*.f64 2 (+.f64 (*.f64 (cos.f64 y) (*.f64 z 1/2)) (*.f64 x (*.f64 (sin.f64 y) 1/2))))
(*.f64 2 (+.f64 (*.f64 x (*.f64 (sin.f64 y) 1/2)) (*.f64 (cos.f64 y) (*.f64 z 1/2))))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 2))
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (+.f64 z z)) (*.f64 (sin.f64 y) (+.f64 x x))))
(*.f64 1/2 (+.f64 (*.f64 (sin.f64 y) (+.f64 x x)) (*.f64 (cos.f64 y) (+.f64 z z))))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4))
(*.f64 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4) 4)
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1)
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 2) 2)
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8))) 32)
(+.f64 (sin.f64 y) 0)
(+.f64 0 (sin.f64 y))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))
(+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)
(-.f64 (sin.f64 y) 0)
(-.f64 0 (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) 1)
(*.f64 1 (sin.f64 y))
(*.f64 -1 (neg.f64 (sin.f64 y)))
(*.f64 2 (*.f64 (sin.f64 y) 1/2))
(*.f64 (*.f64 (sin.f64 y) 2) 1/2)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(*.f64 (*.f64 (sin.f64 y) 4) 1/4)
(*.f64 1/2 (*.f64 (sin.f64 y) 2))
(*.f64 (*.f64 (sin.f64 y) 1/2) 2)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(*.f64 1/4 (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(/.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(/.f64 (*.f64 (sin.f64 y) 8) 8)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)
(/.f64 (+.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) -2)
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) (*.f64 2 (*.f64 (sin.f64 y) 8))) 32)
(neg.f64 (neg.f64 (sin.f64 y)))
Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))) (*.f64 1/120 (*.f64 x (pow.f64 y 5))))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (+.f64 (*.f64 y x) (*.f64 x (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 (pow.f64 y 3) (*.f64 x -1/6)) (*.f64 x (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 x (+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 y x) (+.f64 (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 -1/5040 (*.f64 x (pow.f64 y 7)))) (*.f64 1/120 (*.f64 x (pow.f64 y 5)))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 x (*.f64 1/120 (pow.f64 y 5))) (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 -1/5040 (*.f64 x (pow.f64 y 7))))))
(+.f64 (*.f64 (pow.f64 y 3) (*.f64 x -1/6)) (+.f64 (*.f64 x (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))) (*.f64 (pow.f64 y 5) (*.f64 x 1/120))))
(+.f64 (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (*.f64 x (*.f64 -1/6 (pow.f64 y 3))) (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2))))
(+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 z (pow.f64 y 2))) (+.f64 z (*.f64 (pow.f64 y 4) (*.f64 z 1/24))))
(+.f64 (*.f64 z (*.f64 (pow.f64 y 2) -1/2)) (+.f64 z (*.f64 z (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2))) (*.f64 z (*.f64 1/24 (pow.f64 y 4))))
(+.f64 z (*.f64 z (+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 z (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(+.f64 (*.f64 -1/2 (*.f64 z (pow.f64 y 2))) (+.f64 (+.f64 z (*.f64 (pow.f64 y 4) (*.f64 z 1/24))) (*.f64 -1/720 (*.f64 z (pow.f64 y 6)))))
(+.f64 (*.f64 z (*.f64 (pow.f64 y 2) -1/2)) (+.f64 (*.f64 z (*.f64 1/24 (pow.f64 y 4))) (+.f64 (*.f64 z (*.f64 -1/720 (pow.f64 y 6))) z)))
(+.f64 z (+.f64 (*.f64 (pow.f64 y 2) (*.f64 z -1/2)) (+.f64 (*.f64 z (*.f64 1/24 (pow.f64 y 4))) (*.f64 (pow.f64 y 6) (*.f64 z -1/720)))))
(+.f64 (*.f64 z (+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2)))) (+.f64 z (*.f64 (pow.f64 y 6) (*.f64 z -1/720))))
(+.f64 (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))) (+.f64 z (*.f64 (pow.f64 y 6) (*.f64 z -1/720))))
(+.f64 z (+.f64 (*.f64 -1/2 (*.f64 z (pow.f64 y 2))) (*.f64 z (+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/720 (pow.f64 y 6))))))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 z (pow.f64 y 2))) (+.f64 (*.f64 y x) z))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 y x) (+.f64 (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) z) (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 z (*.f64 (pow.f64 y 2) -1/2)) (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) z)))
(+.f64 (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5))))
(+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5))))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 (sin.f64 y) x)
(+.f64 0 (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (*.f64 (sin.f64 y) 1/2)) (*.f64 x (*.f64 (sin.f64 y) 1/2)))
(*.f64 (sin.f64 y) x)
(-.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) 8) 8)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 y)) 8)) 16)
(*.f64 (sin.f64 y) x)
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x (sin.f64 y)) 8)) (*.f64 2 (*.f64 (*.f64 x (sin.f64 y)) 8))) 32)
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 z (cos.f64 y)) 0)
(*.f64 (cos.f64 y) z)
(+.f64 0 (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) (*.f64 z 1/2)) (*.f64 (cos.f64 y) (*.f64 z 1/2)))
(*.f64 (cos.f64 y) z)
(-.f64 (*.f64 z (cos.f64 y)) 0)
(*.f64 (cos.f64 y) z)
(/.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(/.f64 (*.f64 (cos.f64 y) (+.f64 z z)) 2)
(*.f64 (cos.f64 y) z)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z 4)) 4)
(*.f64 (cos.f64 y) z)
(/.f64 (*.f64 (*.f64 z (cos.f64 y)) 8) 8)
(*.f64 (cos.f64 y) z)
(/.f64 (*.f64 2 (*.f64 (*.f64 z (cos.f64 y)) 8)) 16)
(*.f64 (cos.f64 y) z)
(/.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 z (cos.f64 y)) 8)) (*.f64 2 (*.f64 (*.f64 z (cos.f64 y)) 8))) 32)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 0)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 1 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1/2))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 2 (+.f64 (*.f64 (cos.f64 y) (*.f64 z 1/2)) (*.f64 x (*.f64 (sin.f64 y) 1/2))))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 2 (+.f64 (*.f64 x (*.f64 (sin.f64 y) 1/2)) (*.f64 (cos.f64 y) (*.f64 z 1/2))))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 2) 1/2)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 4 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4) 1/4)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 2))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (+.f64 z z)) (*.f64 (sin.f64 y) (+.f64 x x))))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 1/2 (+.f64 (*.f64 (sin.f64 y) (+.f64 x x)) (*.f64 (cos.f64 y) (+.f64 z z))))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1/2) 2)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(*.f64 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4) 4)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 1)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 2) 2)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 4) 4)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8) 8)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8)) 16)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) 8))) 32)
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))
(+.f64 (sin.f64 y) 0)
(sin.f64 y)
(+.f64 0 (sin.f64 y))
(sin.f64 y)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 y))))
(sin.f64 y)
(+.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) 1/2))
(sin.f64 y)
(+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)
(sin.f64 y)
(-.f64 (sin.f64 y) 0)
(sin.f64 y)
(-.f64 0 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 2 (*.f64 (sin.f64 y) 1/2))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 2) 1/2)
(sin.f64 y)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 4) 1/4)
(sin.f64 y)
(*.f64 1/2 (*.f64 (sin.f64 y) 2))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 1/2) 2)
(sin.f64 y)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(*.f64 1/4 (*.f64 (sin.f64 y) 4))
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(sin.f64 y)
(/.f64 (sin.f64 y) 1)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 8) 8)
(sin.f64 y)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) 16)
(sin.f64 y)
(/.f64 (+.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) -2)
(sin.f64 y)
(/.f64 (+.f64 (*.f64 2 (*.f64 (sin.f64 y) 8)) (*.f64 2 (*.f64 (sin.f64 y) 8))) 32)
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)

eval31.0ms (0.2%)

Compiler

Compiled 2119 to 1037 computations (51.1% saved)

prune24.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1245129
Fresh000
Picked011
Done000
Total1246130
Error
0.2b
Counts
130 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.5b
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
▶26.4b
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
▶34.1b
(+.f64 (*.f64 y x) z)
▶6.9b
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) (*.f64 z (cos.f64 y)))
✓0.2b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
▶16.3b
(+.f64 (*.f64 x (sin.f64 y)) z)
Compiler

Compiled 134 to 92 computations (31.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (cos.f64 y))
✓0.2b
(*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1))
✓0.5b
(-.f64 1 (neg.f64 (sin.f64 y)))
✓3.4b
(+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)
Compiler

Compiled 54 to 26 computations (51.9% saved)

series1.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite72.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1190×bool.json-1
1190×bool.json-2
1148×rational.json-1
1148×rational.json-2
1148×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01263
113147
236927
380327
4172127
5402627
Stop Event
1×node limit
Counts
3 → 101
Calls
Call 1
Inputs
(+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)
(-.f64 1 (neg.f64 (sin.f64 y)))
(*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 -2 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 3 (neg.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (*.f64 (sin.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) -4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) -4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 y) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) 4))) (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (neg.f64 (*.f64 (sin.f64 y) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) -4)) (neg.f64 (*.f64 (sin.f64 y) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -4))) (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) y))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (neg.f64 (+.f64 y (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (-.f64 y (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 y (-.f64 (neg.f64 (PI.f64)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) (-.f64 (-.f64 y (PI.f64)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 y) (sin.f64 y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (sin.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 3 (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (sin.f64 y)) 1/2) (*.f64 (+.f64 1 (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 (neg.f64 (sin.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 1 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (sin.f64 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (sin.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (sin.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -2 (*.f64 (sin.f64 y) -2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (sin.f64 y)) (+.f64 1 (sin.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))))))

simplify250.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1830×rational.json-simplify-35
1036×rational.json-simplify-1
906×trig.json-simplify-16
846×rational.json-simplify-2
632×rational.json-simplify-52
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02171587
14651587
213601569
330191569
444971569
555831569
660851569
766191569
874881569
Stop Event
1×node limit
Counts
149 → 139
Calls
Call 1
Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 y)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(+.f64 1 (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(-.f64 1 (-.f64 1 (sin.f64 y)))
(-.f64 (sin.f64 y) 0)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(-.f64 -1 (-.f64 -1 (sin.f64 y)))
(-.f64 0 (neg.f64 (sin.f64 y)))
(-.f64 2 (-.f64 2 (sin.f64 y)))
(-.f64 -2 (-.f64 -2 (sin.f64 y)))
(-.f64 (+.f64 (sin.f64 y) -1) -1)
(-.f64 (+.f64 (sin.f64 y) 2) 2)
(-.f64 (+.f64 (sin.f64 y) -2) -2)
(-.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) -1/2))
(-.f64 (-.f64 3 (neg.f64 (sin.f64 y))) 3)
(*.f64 1 (sin.f64 y))
(*.f64 (sin.f64 y) 1)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(*.f64 2 (*.f64 (sin.f64 y) 1/2))
(*.f64 (*.f64 (sin.f64 y) 2) 1/2)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(*.f64 -2 (*.f64 (sin.f64 y) -1/2))
(*.f64 (*.f64 (sin.f64 y) -2) -1/2)
(*.f64 (*.f64 (sin.f64 y) 4) 1/4)
(*.f64 1/2 (*.f64 (sin.f64 y) 2))
(*.f64 1/2 (neg.f64 (*.f64 (sin.f64 y) -2)))
(*.f64 -1/2 (*.f64 (sin.f64 y) -2))
(*.f64 (*.f64 (sin.f64 y) 1/2) 2)
(*.f64 1/4 (*.f64 (sin.f64 y) 4))
(*.f64 (*.f64 (sin.f64 y) -1/2) -2)
(*.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) 1/2)
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(/.f64 (sin.f64 y) 1)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(/.f64 (*.f64 (sin.f64 y) -4) -4)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)) 8)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) -4)) -8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4))) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) -4))) -16)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) 4))) -8)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) 2)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) -4)) 4)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -4))) 8)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) 4))) (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)))) -16)
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (neg.f64 (*.f64 (sin.f64 y) -2))) 4)
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) -4)) (neg.f64 (*.f64 (sin.f64 y) -4))) 8)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -4))) (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -4)))) 16)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(sin.f64 (-.f64 (PI.f64) y))
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(sin.f64 (-.f64 (-.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (-.f64 y (-.f64 (neg.f64 (PI.f64)) (PI.f64))))
(sin.f64 (-.f64 (PI.f64) (-.f64 (-.f64 y (PI.f64)) (PI.f64))))
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 (+.f64 1 (sin.f64 y)) 0)
(+.f64 -1 (+.f64 (sin.f64 y) 2))
(+.f64 0 (+.f64 1 (sin.f64 y)))
(+.f64 2 (+.f64 (sin.f64 y) -1))
(+.f64 -2 (-.f64 3 (neg.f64 (sin.f64 y))))
(+.f64 (+.f64 (sin.f64 y) -1) 2)
(+.f64 (+.f64 (sin.f64 y) 2) -1)
(+.f64 (*.f64 (+.f64 1 (sin.f64 y)) 1/2) (*.f64 (+.f64 1 (sin.f64 y)) 1/2))
(+.f64 (-.f64 3 (neg.f64 (sin.f64 y))) -2)
(*.f64 1 (+.f64 1 (sin.f64 y)))
(*.f64 (+.f64 1 (sin.f64 y)) 1)
(*.f64 -1 (-.f64 -1 (sin.f64 y)))
(*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 1/2))
(*.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 1 (sin.f64 y)) 4))
(*.f64 (-.f64 -1 (sin.f64 y)) -1)
(*.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 1 (sin.f64 y)) 2))
(*.f64 (*.f64 (+.f64 1 (sin.f64 y)) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 1 (sin.f64 y)) 4))
(*.f64 (/.f64 (+.f64 1 (sin.f64 y)) 4) 4)
(/.f64 (+.f64 1 (sin.f64 y)) 1)
(/.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 2)
(/.f64 (-.f64 -1 (sin.f64 y)) -1)
(/.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4)) 8)
(/.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) 16)
(/.f64 (*.f64 2 (+.f64 -2 (*.f64 (sin.f64 y) -2))) -4)
(/.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) 2)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)))) 4)
(neg.f64 (-.f64 -1 (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) x) 0)
(+.f64 0 (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (*.f64 x 1/2)))
(-.f64 (*.f64 (sin.f64 y) x) 0)
(/.f64 (*.f64 (sin.f64 y) x) 1)
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(/.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))))) 32)
Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(+.f64 y (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5))))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
1
(+.f64 1 y)
(+.f64 y 1)
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 y))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y 1))
(+.f64 y (+.f64 1 (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 y (+.f64 (*.f64 -1/6 (pow.f64 y 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 1 (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) 1)))
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y 1)))
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) x)
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)) (*.f64 1/120 (*.f64 (pow.f64 y 5) x))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)) (*.f64 x (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)) (*.f64 (+.f64 y (*.f64 1/120 (pow.f64 y 5))) x))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 y x) (+.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)) (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x))) (*.f64 1/120 (*.f64 (pow.f64 y 5) x))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)) (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)))))
(+.f64 (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (+.f64 (*.f64 (pow.f64 y 7) (*.f64 -1/5040 x)) (*.f64 1/120 (*.f64 (pow.f64 y 5) x))))
(+.f64 (*.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (*.f64 (pow.f64 y 7) (*.f64 -1/5040 x))))
(+.f64 (*.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(-.f64 1 (-.f64 1 (sin.f64 y)))
(sin.f64 y)
(-.f64 (sin.f64 y) 0)
(sin.f64 y)
(-.f64 (+.f64 1 (sin.f64 y)) 1)
(sin.f64 y)
(-.f64 -1 (-.f64 -1 (sin.f64 y)))
(sin.f64 y)
(-.f64 0 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 2 (-.f64 2 (sin.f64 y)))
(sin.f64 y)
(-.f64 -2 (-.f64 -2 (sin.f64 y)))
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) -1) -1)
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) 2) 2)
(sin.f64 y)
(-.f64 (+.f64 (sin.f64 y) -2) -2)
(sin.f64 y)
(-.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 y) -1/2))
(sin.f64 y)
(-.f64 (-.f64 3 (neg.f64 (sin.f64 y))) 3)
(sin.f64 y)
(*.f64 1 (sin.f64 y))
(sin.f64 y)
(*.f64 (sin.f64 y) 1)
(sin.f64 y)
(*.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(*.f64 -1 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 2 (*.f64 (sin.f64 y) 1/2))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 2) 1/2)
(sin.f64 y)
(*.f64 4 (/.f64 (sin.f64 y) 4))
(sin.f64 y)
(*.f64 -2 (*.f64 (sin.f64 y) -1/2))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) -2) -1/2)
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 4) 1/4)
(sin.f64 y)
(*.f64 1/2 (*.f64 (sin.f64 y) 2))
(sin.f64 y)
(*.f64 1/2 (neg.f64 (*.f64 (sin.f64 y) -2)))
(sin.f64 y)
(*.f64 -1/2 (*.f64 (sin.f64 y) -2))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) 1/2) 2)
(sin.f64 y)
(*.f64 1/4 (*.f64 (sin.f64 y) 4))
(sin.f64 y)
(*.f64 (*.f64 (sin.f64 y) -1/2) -2)
(sin.f64 y)
(*.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) 1/2)
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) 4) 4)
(sin.f64 y)
(/.f64 (sin.f64 y) 1)
(sin.f64 y)
(/.f64 (neg.f64 (sin.f64 y)) -1)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 2) 2)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) -2) -2)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) 4) 4)
(sin.f64 y)
(/.f64 (*.f64 (sin.f64 y) -4) -4)
(sin.f64 y)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)) 8)
(sin.f64 y)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) -4)) -8)
(sin.f64 y)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4))) 16)
(sin.f64 y)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) -4))) -16)
(sin.f64 y)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) 4))) -8)
(sin.f64 y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) 2)
(sin.f64 y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) -4)) 4)
(sin.f64 y)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -4))) 8)
(sin.f64 y)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) 4)))) 32)
(sin.f64 y)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) 4))) (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) 4)))) -16)
(sin.f64 y)
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) -2)) (neg.f64 (*.f64 (sin.f64 y) -2))) 4)
(sin.f64 y)
(/.f64 (+.f64 (neg.f64 (*.f64 (sin.f64 y) -4)) (neg.f64 (*.f64 (sin.f64 y) -4))) 8)
(sin.f64 y)
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -4))) (neg.f64 (*.f64 2 (*.f64 (sin.f64 y) -4)))) 16)
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 (-.f64 (PI.f64) y))
(sin.f64 y)
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(neg.f64 (sin.f64 (+.f64 y (PI.f64))))
(sin.f64 (-.f64 (neg.f64 y) (PI.f64)))
(sin.f64 (-.f64 (-.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (-.f64 y (-.f64 (neg.f64 (PI.f64)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(neg.f64 (sin.f64 (+.f64 y (PI.f64))))
(sin.f64 (-.f64 (neg.f64 y) (PI.f64)))
(sin.f64 (-.f64 (PI.f64) (-.f64 (-.f64 y (PI.f64)) (PI.f64))))
(sin.f64 (-.f64 (-.f64 y (PI.f64)) (PI.f64)))
(+.f64 1 (sin.f64 y))
(+.f64 (sin.f64 y) 1)
(+.f64 (sin.f64 y) 1)
(+.f64 (+.f64 1 (sin.f64 y)) 0)
(+.f64 (sin.f64 y) 1)
(+.f64 -1 (+.f64 (sin.f64 y) 2))
(+.f64 (sin.f64 y) 1)
(+.f64 0 (+.f64 1 (sin.f64 y)))
(+.f64 (sin.f64 y) 1)
(+.f64 2 (+.f64 (sin.f64 y) -1))
(+.f64 (sin.f64 y) 1)
(+.f64 -2 (-.f64 3 (neg.f64 (sin.f64 y))))
(+.f64 (sin.f64 y) 1)
(+.f64 (+.f64 (sin.f64 y) -1) 2)
(+.f64 (sin.f64 y) 1)
(+.f64 (+.f64 (sin.f64 y) 2) -1)
(+.f64 (sin.f64 y) 1)
(+.f64 (*.f64 (+.f64 1 (sin.f64 y)) 1/2) (*.f64 (+.f64 1 (sin.f64 y)) 1/2))
(+.f64 (sin.f64 y) 1)
(+.f64 (-.f64 3 (neg.f64 (sin.f64 y))) -2)
(+.f64 (sin.f64 y) 1)
(*.f64 1 (+.f64 1 (sin.f64 y)))
(+.f64 (sin.f64 y) 1)
(*.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 1)
(*.f64 -1 (-.f64 -1 (sin.f64 y)))
(+.f64 (sin.f64 y) 1)
(*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 1/2))
(+.f64 (sin.f64 y) 1)
(*.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 1/2)
(+.f64 (sin.f64 y) 1)
(*.f64 4 (/.f64 (+.f64 1 (sin.f64 y)) 4))
(+.f64 (sin.f64 y) 1)
(*.f64 (-.f64 -1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 1)
(*.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 1/4)
(+.f64 (sin.f64 y) 1)
(*.f64 1/2 (*.f64 (+.f64 1 (sin.f64 y)) 2))
(+.f64 (sin.f64 y) 1)
(*.f64 (*.f64 (+.f64 1 (sin.f64 y)) 1/2) 2)
(+.f64 (sin.f64 y) 1)
(*.f64 1/4 (*.f64 (+.f64 1 (sin.f64 y)) 4))
(+.f64 (sin.f64 y) 1)
(*.f64 (/.f64 (+.f64 1 (sin.f64 y)) 4) 4)
(+.f64 (sin.f64 y) 1)
(/.f64 (+.f64 1 (sin.f64 y)) 1)
(+.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (+.f64 1 (sin.f64 y)) 2) 2)
(+.f64 (sin.f64 y) 1)
(/.f64 (-.f64 -1 (sin.f64 y)) -1)
(+.f64 (sin.f64 y) 1)
(/.f64 (*.f64 (+.f64 1 (sin.f64 y)) 4) 4)
(+.f64 (sin.f64 y) 1)
(/.f64 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4)) 8)
(+.f64 (sin.f64 y) 1)
(/.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) 16)
(+.f64 (sin.f64 y) 1)
(/.f64 (*.f64 2 (+.f64 -2 (*.f64 (sin.f64 y) -2))) -4)
(*.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -1/2)
(*.f64 -1/2 (+.f64 -2 (*.f64 (sin.f64 y) -2)))
(/.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) 2)
(/.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (sin.f64 y)) 4)))) 32)
(+.f64 (sin.f64 y) 1)
(/.f64 (+.f64 (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2))) (neg.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)))) 4)
(/.f64 (+.f64 -2 (*.f64 (sin.f64 y) -2)) -2)
(neg.f64 (-.f64 -1 (sin.f64 y)))
(+.f64 (sin.f64 y) 1)
(+.f64 (*.f64 (sin.f64 y) x) 0)
(*.f64 (sin.f64 y) x)
(+.f64 0 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (*.f64 x 1/2)))
(*.f64 (sin.f64 y) x)
(-.f64 (*.f64 (sin.f64 y) x) 0)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))) 8)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) 16)
(*.f64 (sin.f64 y) x)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))))) 32)
(*.f64 (sin.f64 y) x)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 y x) z)
Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts
1 → 9
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(+.f64 (*.f64 y x) z)
0.0ms
y
@0
(+.f64 (*.f64 y x) z)
0.0ms
x
@inf
(+.f64 (*.f64 y x) z)
0.0ms
x
@-inf
(+.f64 (*.f64 y x) z)
0.0ms
y
@-inf
(+.f64 (*.f64 y x) z)

rewrite97.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1618×bool.json-1
1618×bool.json-2
1586×rational.json-1
1586×rational.json-2
1586×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
17013
219613
341713
486113
5188513
6389913
7638113
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y x) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 y (*.f64 x 1/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 y x) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) z) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 z z) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) z) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y x) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y x) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) z) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 y x) z) (+.f64 (*.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 y x) z) (+.f64 (*.f64 y x) z))))))

simplify973.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
5902×rational.json-simplify-51
1980×rational.json-simplify-35
1694×rational.json-simplify-2
1284×rational.json-simplify-1
1106×rational.json-simplify-49
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053299
1109299
2275299
3686299
41100299
52512299
63357299
73415299
83445299
93471299
103497299
113523299
123572299
133598299
143624299
153650299
163676299
173702299
183728299
194540299
204912299
214944299
224974299
235003299
245032299
255061299
265090299
275119299
285148299
295177299
305206299
315235299
325264299
335293299
345322299
355351299
365380299
375409299
385438299
395467299
405467299
Stop Event
1×node limit
Counts
29 → 23
Calls
Call 1
Inputs
z
(*.f64 y x)
(*.f64 y x)
z
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
z
z
(-.f64 (+.f64 (*.f64 y x) z) 0)
(*.f64 (+.f64 (*.f64 y x) z) 1)
(*.f64 1 (+.f64 (*.f64 y x) z))
(*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 1/2))
(*.f64 2 (+.f64 (*.f64 y (*.f64 x 1/2)) (*.f64 z 1/2)))
(*.f64 (*.f64 (+.f64 (*.f64 y x) z) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 y x) z) 4))
(*.f64 (*.f64 (+.f64 (*.f64 y x) z) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (*.f64 y x) z) 2))
(*.f64 1/2 (+.f64 (+.f64 z z) (*.f64 y (+.f64 x x))))
(*.f64 (*.f64 (+.f64 (*.f64 y x) z) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 y x) z) 4))
(*.f64 (/.f64 (+.f64 (*.f64 y x) z) 4) 4)
(/.f64 (+.f64 (*.f64 y x) z) 1)
(/.f64 (*.f64 (+.f64 (*.f64 y x) z) 2) 2)
(/.f64 (*.f64 (+.f64 (*.f64 y x) z) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 y x) z) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8)))) 64)
Outputs
z
(*.f64 y x)
(*.f64 y x)
z
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
z
z
(-.f64 (+.f64 (*.f64 y x) z) 0)
(+.f64 z (*.f64 y x))
(*.f64 (+.f64 (*.f64 y x) z) 1)
(+.f64 z (*.f64 y x))
(*.f64 1 (+.f64 (*.f64 y x) z))
(+.f64 z (*.f64 y x))
(*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 1/2))
(+.f64 z (*.f64 y x))
(*.f64 2 (+.f64 (*.f64 y (*.f64 x 1/2)) (*.f64 z 1/2)))
(+.f64 z (*.f64 y x))
(*.f64 (*.f64 (+.f64 (*.f64 y x) z) 2) 1/2)
(+.f64 z (*.f64 y x))
(*.f64 4 (/.f64 (+.f64 (*.f64 y x) z) 4))
(+.f64 z (*.f64 y x))
(*.f64 (*.f64 (+.f64 (*.f64 y x) z) 4) 1/4)
(+.f64 z (*.f64 y x))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 y x) z) 2))
(+.f64 z (*.f64 y x))
(*.f64 1/2 (+.f64 (+.f64 z z) (*.f64 y (+.f64 x x))))
(+.f64 z (*.f64 y x))
(*.f64 (*.f64 (+.f64 (*.f64 y x) z) 1/2) 2)
(+.f64 z (*.f64 y x))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 y x) z) 4))
(+.f64 z (*.f64 y x))
(*.f64 (/.f64 (+.f64 (*.f64 y x) z) 4) 4)
(+.f64 z (*.f64 y x))
(/.f64 (+.f64 (*.f64 y x) z) 1)
(+.f64 z (*.f64 y x))
(/.f64 (*.f64 (+.f64 (*.f64 y x) z) 2) 2)
(+.f64 z (*.f64 y x))
(/.f64 (*.f64 (+.f64 (*.f64 y x) z) 4) 4)
(+.f64 z (*.f64 y x))
(/.f64 (*.f64 (+.f64 (*.f64 y x) z) 8) 8)
(+.f64 z (*.f64 y x))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8)) 16)
(+.f64 z (*.f64 y x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8))) 32)
(+.f64 z (*.f64 y x))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) z) 8)))) 64)
(+.f64 z (*.f64 y x))

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
✓0.0b
(+.f64 (*.f64 x (sin.f64 y)) z)
0.2b
(*.f64 x (sin.f64 y))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 x (sin.f64 y)) z)
0.0ms
y
@0
(+.f64 (*.f64 x (sin.f64 y)) z)
0.0ms
y
@inf
(+.f64 (*.f64 x (sin.f64 y)) z)
0.0ms
y
@-inf
(+.f64 (*.f64 x (sin.f64 y)) z)
0.0ms
z
@-inf
(+.f64 (*.f64 x (sin.f64 y)) z)

rewrite102.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1612×bool.json-1
1612×bool.json-2
1574×rational.json-1
1574×rational.json-2
1070×bool.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
19217
226317
355517
4118117
5266417
6594817
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 z 1/2) (*.f64 (sin.f64 y) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 z z) (*.f64 (sin.f64 y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sin.f64 y) (+.f64 x x)) (+.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 x (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 x (sin.f64 y)) z) (+.f64 (*.f64 x (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 x (sin.f64 y)) z) (+.f64 (*.f64 x (sin.f64 y)) z))))))

simplify239.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1598×rational.json-simplify-2
1500×rational.json-simplify-52
1282×rational.json-simplify-1
1058×rational.json-simplify-48
924×rational.json-simplify-35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073947
1144947
2330935
3716929
41118929
52441929
63277929
73438929
83865929
94733929
105157929
115359929
125685929
136295929
147942929
Stop Event
1×node limit
Counts
57 → 36
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 0)
(*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)
(*.f64 1 (+.f64 (*.f64 x (sin.f64 y)) z))
(*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2))
(*.f64 2 (+.f64 (*.f64 z 1/2) (*.f64 (sin.f64 y) (*.f64 x 1/2))))
(*.f64 2 (+.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 z 1/2)))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2))
(*.f64 1/2 (+.f64 (+.f64 z z) (*.f64 (sin.f64 y) (+.f64 x x))))
(*.f64 1/2 (+.f64 (*.f64 (sin.f64 y) (+.f64 x x)) (+.f64 z z)))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))
(*.f64 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 2)
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8))) 32)
Outputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 x (*.f64 (pow.f64 y 3) -1/6))))
(+.f64 z (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 y x) (+.f64 (+.f64 z (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))) (*.f64 1/120 (*.f64 x (pow.f64 y 5)))))
(+.f64 (*.f64 y x) (+.f64 (+.f64 z (*.f64 x (*.f64 (pow.f64 y 3) -1/6))) (*.f64 x (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 z (+.f64 (*.f64 (pow.f64 y 5) (*.f64 x 1/120)) (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(+.f64 z (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(+.f64 z (*.f64 x (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3))))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 0)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 1 (+.f64 (*.f64 x (sin.f64 y)) z))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 2 (+.f64 (*.f64 z 1/2) (*.f64 (sin.f64 y) (*.f64 x 1/2))))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 2 (+.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 z 1/2)))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 1/2)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 4 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 1/4)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 1/2 (+.f64 (+.f64 z z) (*.f64 (sin.f64 y) (+.f64 x x))))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 1/2 (+.f64 (*.f64 (sin.f64 y) (+.f64 x x)) (+.f64 z z)))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2) 2)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 2)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8) 8)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8)) 16)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 8))) 32)
(+.f64 z (*.f64 (sin.f64 y) x))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
0.0ms
y
@0
(cos.f64 y)
0.0ms
y
@inf
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
0.0ms
x
@inf
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
0.0ms
y
@-inf
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))

rewrite87.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1494×bool.json-1
1494×bool.json-2
1442×rational.json-1
1442×rational.json-2
1442×rational.json-4
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
110028
226928
357828
4124228
5280628
6584428
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(cos.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (cos.f64 y) (/.f64 z 2)) (*.f64 (*.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (*.f64 y x) 1/2) (*.f64 (cos.f64 y) (/.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (+.f64 z z)) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 y (+.f64 x x)) (*.f64 (cos.f64 y) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) 1/2) (*.f64 (cos.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 y) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 y) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) 8)) (*.f64 2 (*.f64 (cos.f64 y) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 y) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 y) (cos.f64 y))))))

simplify390.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2268×rational.json-simplify-2
1736×rational.json-simplify-35
1396×rational.json-simplify-53
1102×rational.json-simplify-1
678×rational.json-simplify-38
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111499
12151499
25781499
314171493
423841493
533971493
634851493
735601493
836531493
937651493
1038881493
1148921493
1256501493
1360161493
1462351493
1565011493
1667261493
1768781493
1873471493
Stop Event
1×node limit
Counts
81 → 71
Calls
Call 1
Inputs
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 y x)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 0)
(*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1)
(*.f64 1 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))))
(*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1/2))
(*.f64 2 (+.f64 (*.f64 (cos.f64 y) (/.f64 z 2)) (*.f64 (*.f64 y x) 1/2)))
(*.f64 2 (+.f64 (*.f64 (*.f64 y x) 1/2) (*.f64 (cos.f64 y) (/.f64 z 2))))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 2))
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (+.f64 z z)) (*.f64 y (+.f64 x x))))
(*.f64 1/2 (+.f64 (*.f64 y (+.f64 x x)) (*.f64 (cos.f64 y) (+.f64 z z))))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4))
(*.f64 (/.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4) 4)
(/.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1)
(/.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 2) 2)
(/.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4) 4)
(/.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8) 8)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8))) 32)
(+.f64 (cos.f64 y) 0)
(+.f64 0 (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) 1/2) (*.f64 (cos.f64 y) 1/2))
(-.f64 (cos.f64 y) 0)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 2 (*.f64 (cos.f64 y) 1/2))
(*.f64 (*.f64 (cos.f64 y) 2) 1/2)
(*.f64 4 (/.f64 (cos.f64 y) 4))
(*.f64 (*.f64 (cos.f64 y) 4) 1/4)
(*.f64 1/2 (*.f64 (cos.f64 y) 2))
(*.f64 (*.f64 (cos.f64 y) 1/2) 2)
(*.f64 1/4 (*.f64 (cos.f64 y) 4))
(*.f64 (/.f64 (cos.f64 y) 4) 4)
(/.f64 (cos.f64 y) 1)
(/.f64 (*.f64 (cos.f64 y) 2) 2)
(/.f64 (*.f64 (cos.f64 y) 4) 4)
(/.f64 (*.f64 (cos.f64 y) 8) 8)
(/.f64 (*.f64 2 (*.f64 (cos.f64 y) 8)) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) 8)) (*.f64 2 (*.f64 (cos.f64 y) 8))) 32)
Outputs
z
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(+.f64 (*.f64 y x) (+.f64 (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 z (+.f64 (+.f64 (*.f64 y x) (*.f64 z (*.f64 1/24 (pow.f64 y 4)))) (*.f64 z (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 z (+.f64 (*.f64 z (*.f64 -1/2 (pow.f64 y 2))) (+.f64 (*.f64 y x) (*.f64 z (*.f64 1/24 (pow.f64 y 4))))))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))))
(*.f64 y x)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 y x)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 y x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 y x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 y x)
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (cos.f64 y) z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 1/24 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))) (*.f64 -1/720 (pow.f64 y 6))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/720 (pow.f64 y 6)))))
(-.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 0)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 1 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1/2))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 2 (+.f64 (*.f64 (cos.f64 y) (/.f64 z 2)) (*.f64 (*.f64 y x) 1/2)))
(*.f64 2 (+.f64 (*.f64 (cos.f64 y) (/.f64 z 2)) (*.f64 y (*.f64 x 1/2))))
(*.f64 2 (+.f64 (*.f64 (*.f64 y x) 1/2) (*.f64 (cos.f64 y) (/.f64 z 2))))
(*.f64 2 (+.f64 (*.f64 (cos.f64 y) (/.f64 z 2)) (*.f64 (*.f64 y x) 1/2)))
(*.f64 2 (+.f64 (*.f64 (cos.f64 y) (/.f64 z 2)) (*.f64 y (*.f64 x 1/2))))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 2) 1/2)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 4 (/.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4) 1/4)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 2))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (+.f64 z z)) (*.f64 y (+.f64 x x))))
(*.f64 1/2 (+.f64 (*.f64 z (*.f64 2 (cos.f64 y))) (*.f64 y (+.f64 x x))))
(*.f64 1/2 (+.f64 (*.f64 y (+.f64 x x)) (*.f64 (cos.f64 y) (+.f64 z z))))
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 y) (+.f64 z z)) (*.f64 y (+.f64 x x))))
(*.f64 1/2 (+.f64 (*.f64 z (*.f64 2 (cos.f64 y))) (*.f64 y (+.f64 x x))))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1/2) 2)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4))
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 (/.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4) 4)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 1)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 2) 2)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 4) 4)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8) 8)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8)) 16)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 z (cos.f64 y))) 8))) 32)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(+.f64 (cos.f64 y) 0)
(cos.f64 y)
(+.f64 0 (cos.f64 y))
(cos.f64 y)
(+.f64 (*.f64 (cos.f64 y) 1/2) (*.f64 (cos.f64 y) 1/2))
(cos.f64 y)
(-.f64 (cos.f64 y) 0)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 2 (*.f64 (cos.f64 y) 1/2))
(cos.f64 y)
(*.f64 (*.f64 (cos.f64 y) 2) 1/2)
(cos.f64 y)
(*.f64 4 (/.f64 (cos.f64 y) 4))
(cos.f64 y)
(*.f64 (*.f64 (cos.f64 y) 4) 1/4)
(cos.f64 y)
(*.f64 1/2 (*.f64 (cos.f64 y) 2))
(cos.f64 y)
(*.f64 (*.f64 (cos.f64 y) 1/2) 2)
(cos.f64 y)
(*.f64 1/4 (*.f64 (cos.f64 y) 4))
(cos.f64 y)
(*.f64 (/.f64 (cos.f64 y) 4) 4)
(cos.f64 y)
(/.f64 (cos.f64 y) 1)
(cos.f64 y)
(/.f64 (*.f64 (cos.f64 y) 2) 2)
(cos.f64 y)
(/.f64 (*.f64 (cos.f64 y) 4) 4)
(cos.f64 y)
(/.f64 (*.f64 (cos.f64 y) 8) 8)
(cos.f64 y)
(/.f64 (*.f64 2 (*.f64 (cos.f64 y) 8)) 16)
(cos.f64 y)
(/.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 y) 8)) (*.f64 2 (*.f64 (cos.f64 y) 8))) 32)
(cos.f64 y)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2))))
✓2.0b
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
✓8.0b
(*.f64 z (pow.f64 y 2))
Compiler

Compiled 48 to 29 computations (39.6% saved)

series5.0ms (0%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 z (pow.f64 y 2))
0.0ms
x
@0
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
0.0ms
y
@inf
(*.f64 z (pow.f64 y 2))
0.0ms
y
@0
(*.f64 z (pow.f64 y 2))
0.0ms
z
@inf
(*.f64 z (pow.f64 y 2))

rewrite95.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1564×bool.json-1
1564×bool.json-2
1522×rational.json-1
1522×rational.json-2
1522×rational.json-3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01375
113175
234175
372775
4158075
5345475
6629275
Stop Event
1×node limit
Counts
3 → 52
Calls
Call 1
Inputs
(*.f64 z (pow.f64 y 2))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) (*.f64 z 1/2)) (*.f64 (pow.f64 y 2) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (pow.f64 y 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4)))) (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 z (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 z (pow.f64 y 2)) (*.f64 z (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 z (pow.f64 y 2)) (*.f64 z (pow.f64 y 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z (+.f64 z (*.f64 z (neg.f64 (pow.f64 y 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (/.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2))) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 z (+.f64 z (*.f64 z (neg.f64 (pow.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 1/2) (*.f64 2 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z (+.f64 z (*.f64 z (neg.f64 (pow.f64 y 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))))))

simplify641.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
2572×rational.json-simplify-35
2018×rational.json-simplify-2
1348×rational.json-simplify-1
844×rational.json-simplify-48
826×rational.json-simplify-52
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01213430
12503414
26043414
314023410
428613410
537413370
640493370
742413370
844063370
945613370
1046983370
1150783370
1251273370
1351843370
1452263370
1553783370
1656003370
1759863370
1867283370
1974953370
Stop Event
1×node limit
Counts
136 → 81
Calls
Call 1
Inputs
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(*.f64 y x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(*.f64 y x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 z (pow.f64 y 2)) 0)
(+.f64 0 (*.f64 z (pow.f64 y 2)))
(+.f64 (*.f64 (pow.f64 y 2) (*.f64 z 1/2)) (*.f64 (pow.f64 y 2) (*.f64 z 1/2)))
(-.f64 (*.f64 z (pow.f64 y 2)) 0)
(/.f64 (*.f64 z (pow.f64 y 2)) 1)
(/.f64 (*.f64 (pow.f64 y 2) (+.f64 z z)) 2)
(/.f64 (*.f64 z (*.f64 (pow.f64 y 2) 4)) 4)
(/.f64 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4)))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4)))) (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4))))) 32)
(-.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 0)
(*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1/2))
(*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1)
(*.f64 1 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))))
(*.f64 (*.f64 2 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4) 1/4)
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))
(*.f64 (/.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4) 4)
(/.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1)
(/.f64 (*.f64 2 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))) 2)
(/.f64 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4)))) 32)
(-.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 0)
(*.f64 z (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)))
(*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1/2))
(*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1)
(*.f64 1 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))
(*.f64 (+.f64 z (+.f64 z (*.f64 z (neg.f64 (pow.f64 y 2))))) 1/2)
(*.f64 (+.f64 z z) (*.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 1/2))
(*.f64 (+.f64 z z) (/.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 2))
(*.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) z)
(*.f64 4 (/.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))
(*.f64 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4) 1/4)
(*.f64 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2))) (*.f64 z 1/2))
(*.f64 1/2 (+.f64 z (+.f64 z (*.f64 z (neg.f64 (pow.f64 y 2))))))
(*.f64 (*.f64 z 1/2) (*.f64 2 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2))))
(*.f64 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1/2) 2)
(*.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 1/2) (+.f64 z z))
(*.f64 1/4 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 2) (+.f64 z z))
(*.f64 (/.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4) 4)
(/.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1)
(/.f64 (+.f64 z (+.f64 z (*.f64 z (neg.f64 (pow.f64 y 2))))) 2)
(/.f64 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4)))) 32)
Outputs
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
(*.f64 (pow.f64 y 2) z)
z
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 (pow.f64 y 2) (*.f64 z -1/2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 (pow.f64 y 2) (*.f64 z -1/2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 y x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 y x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(*.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/2) -1) (*.f64 z -1))
(*.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2))))
(*.f64 z (-.f64 1 (*.f64 (pow.f64 y 2) 1/2)))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (*.f64 y x) (*.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/2) -1) (*.f64 z -1)))
(+.f64 (*.f64 y x) (*.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)) (neg.f64 z)))
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)))))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 (*.f64 (pow.f64 y 2) 1/2))))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (*.f64 y x) (*.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/2) -1) (*.f64 z -1)))
(+.f64 (*.f64 y x) (*.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)) (neg.f64 z)))
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)))))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 (*.f64 (pow.f64 y 2) 1/2))))
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z)))
(+.f64 (*.f64 y x) (*.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/2) -1) (*.f64 z -1)))
(+.f64 (*.f64 y x) (*.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)) (neg.f64 z)))
(+.f64 (*.f64 y x) (*.f64 z (neg.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)))))
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 (*.f64 (pow.f64 y 2) 1/2))))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 y 2))) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(*.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/2) -1) (*.f64 z -1))
(*.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2))))
(*.f64 z (-.f64 1 (*.f64 (pow.f64 y 2) 1/2)))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(*.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/2) -1) (*.f64 z -1))
(*.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2))))
(*.f64 z (-.f64 1 (*.f64 (pow.f64 y 2) 1/2)))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(*.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/2) -1) (*.f64 z -1))
(*.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2))))
(*.f64 z (-.f64 1 (*.f64 (pow.f64 y 2) 1/2)))
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) 1) z))
(*.f64 (+.f64 (*.f64 (pow.f64 y 2) 1/2) -1) (*.f64 z -1))
(*.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(*.f64 z (neg.f64 (+.f64 -1 (*.f64 (pow.f64 y 2) 1/2))))
(*.f64 z (-.f64 1 (*.f64 (pow.f64 y 2) 1/2)))
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 (pow.f64 y 2) (*.f64 z -1/2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 -1/2 (*.f64 (pow.f64 y 2) z))
(*.f64 (pow.f64 y 2) (*.f64 z -1/2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 (*.f64 z (pow.f64 y 2)) 0)
(*.f64 (pow.f64 y 2) z)
(+.f64 0 (*.f64 z (pow.f64 y 2)))
(*.f64 (pow.f64 y 2) z)
(+.f64 (*.f64 (pow.f64 y 2) (*.f64 z 1/2)) (*.f64 (pow.f64 y 2) (*.f64 z 1/2)))
(*.f64 (pow.f64 y 2) z)
(-.f64 (*.f64 z (pow.f64 y 2)) 0)
(*.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 z (pow.f64 y 2)) 1)
(*.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 (pow.f64 y 2) (+.f64 z z)) 2)
(*.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 z (*.f64 (pow.f64 y 2) 4)) 4)
(*.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4))) 8)
(*.f64 (pow.f64 y 2) z)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4)))) 16)
(*.f64 (pow.f64 y 2) z)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4)))) (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (pow.f64 y 2) 4))))) 32)
(*.f64 (pow.f64 y 2) z)
(-.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 0)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1/2))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 1 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 (*.f64 2 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))) 1/2)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 4 (/.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4) 1/4)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 1/2 (*.f64 2 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1/2) 2)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(*.f64 (/.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4) 4)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(/.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 1)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(/.f64 (*.f64 2 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))) 2)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(/.f64 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4) 4)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4)) 8)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))) 16)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))) 4)))) 32)
(+.f64 (+.f64 z (*.f64 y x)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))
(-.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 0)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 z (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1/2))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 1 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 z (+.f64 z (*.f64 z (neg.f64 (pow.f64 y 2))))) 1/2)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 z z) (*.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 1/2))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (+.f64 z z) (/.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 2))
(*.f64 (+.f64 z z) (/.f64 (+.f64 (neg.f64 (pow.f64 y 2)) 2) 4))
(*.f64 (+.f64 z z) (/.f64 (+.f64 2 (neg.f64 (pow.f64 y 2))) 4))
(*.f64 (+.f64 z z) (/.f64 (-.f64 2 (pow.f64 y 2)) 4))
(*.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) z)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 4 (/.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4) 1/4)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (*.f64 2 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2))) (*.f64 z 1/2))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 1/2 (+.f64 z (+.f64 z (*.f64 z (neg.f64 (pow.f64 y 2))))))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (*.f64 z 1/2) (*.f64 2 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2))))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1/2) 2)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 1/2) (+.f64 z z))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 1/4 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 2) (+.f64 z z))
(*.f64 (+.f64 z z) (/.f64 (+.f64 1 (*.f64 (pow.f64 y 2) -1/2)) 2))
(*.f64 (+.f64 z z) (/.f64 (+.f64 (neg.f64 (pow.f64 y 2)) 2) 4))
(*.f64 (+.f64 z z) (/.f64 (+.f64 2 (neg.f64 (pow.f64 y 2))) 4))
(*.f64 (+.f64 z z) (/.f64 (-.f64 2 (pow.f64 y 2)) 4))
(*.f64 (/.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4) 4)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(/.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 1)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(/.f64 (+.f64 z (+.f64 z (*.f64 z (neg.f64 (pow.f64 y 2))))) 2)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(/.f64 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4) 4)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(/.f64 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4)) 8)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))) 16)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2))) 4)))) 32)
(+.f64 z (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))

eval110.0ms (0.8%)

Compiler

Compiled 7172 to 4001 computations (44.2% saved)

prune87.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4695474
Fresh000
Picked101
Done325
Total4737480
Error
0.2b
Counts
480 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.1b
(+.f64 (*.f64 y x) z)
▶23.0b
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)
✓0.2b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
▶38.2b
(*.f64 (sin.f64 y) x)
▶24.8b
(*.f64 (cos.f64 y) z)
▶55.5b
(*.f64 y x)
40.0b
z
Compiler

Compiled 58 to 41 computations (29.3% saved)

localize3.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 y)
✓0.1b
(*.f64 (cos.f64 y) z)
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(*.f64 (cos.f64 y) z)
0.0ms
y
@0
(*.f64 (cos.f64 y) z)
0.0ms
z
@inf
(*.f64 (cos.f64 y) z)
0.0ms
z
@-inf
(*.f64 (cos.f64 y) z)
0.0ms
y
@inf
(*.f64 (cos.f64 y) z)

rewrite115.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1254×rational.json-simplify-35
1246×bool.json-1
1246×bool.json-2
1194×rational.json-1
1194×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
17111
221011
346211
497711
5215011
6459811
7791011
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (cos.f64 y) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 y) (*.f64 z 1/2)) (*.f64 (cos.f64 y) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 y) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 y) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 y) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 y) z) (*.f64 (cos.f64 y) z))))))

simplify581.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
3626×rational.json-simplify-35
2218×rational.json-simplify-2
1148×rational.json-simplify-1
1048×rational.json-simplify-53
808×rational.json-simplify-43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056357
1128357
2260357
3537345
41990345
53626345
64450345
74831345
85037345
95260345
105493345
116080345
126490345
136683345
146792345
156823345
167009345
177341345
187536345
197729345
207922345
Stop Event
1×node limit
Counts
23 → 30
Calls
Call 1
Inputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) 0)
(+.f64 0 (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 (cos.f64 y) (*.f64 z 1/2)) (*.f64 (cos.f64 y) (*.f64 z 1/2)))
(-.f64 (*.f64 (cos.f64 y) z) 0)
(/.f64 (*.f64 (cos.f64 y) z) 1)
(/.f64 (*.f64 (cos.f64 y) (+.f64 z z)) 2)
(/.f64 (*.f64 (cos.f64 y) (*.f64 z 4)) 4)
(/.f64 (*.f64 (*.f64 (cos.f64 y) z) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8)))) 64)
Outputs
z
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) z)
(+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2))))
(+.f64 z (*.f64 z (*.f64 (pow.f64 y 2) -1/2)))
(+.f64 z (*.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(+.f64 (*.f64 -1/2 (*.f64 z (pow.f64 y 2))) (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))))
(+.f64 z (+.f64 (*.f64 z (*.f64 (pow.f64 y 2) -1/2)) (*.f64 z (*.f64 (pow.f64 y 4) 1/24))))
(+.f64 z (+.f64 (*.f64 z (*.f64 -1/2 (pow.f64 y 2))) (*.f64 (pow.f64 y 4) (*.f64 z 1/24))))
(+.f64 z (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 z (*.f64 z (+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) z)) (+.f64 z (*.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(+.f64 (*.f64 -1/2 (*.f64 z (pow.f64 y 2))) (+.f64 (+.f64 z (*.f64 1/24 (*.f64 z (pow.f64 y 4)))) (*.f64 -1/720 (*.f64 z (pow.f64 y 6)))))
(+.f64 z (+.f64 (+.f64 (*.f64 z (*.f64 (pow.f64 y 4) 1/24)) (*.f64 (pow.f64 y 6) (*.f64 z -1/720))) (*.f64 z (*.f64 (pow.f64 y 2) -1/2))))
(+.f64 z (+.f64 (*.f64 z (*.f64 -1/2 (pow.f64 y 2))) (+.f64 (*.f64 (pow.f64 y 4) (*.f64 z 1/24)) (*.f64 (pow.f64 y 6) (*.f64 z -1/720)))))
(+.f64 (*.f64 z (*.f64 1/24 (pow.f64 y 4))) (+.f64 z (*.f64 z (+.f64 (*.f64 -1/720 (pow.f64 y 6)) (*.f64 -1/2 (pow.f64 y 2))))))
(+.f64 (+.f64 z (*.f64 z (*.f64 1/24 (pow.f64 y 4)))) (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/720 (pow.f64 y 6)))))
(+.f64 (+.f64 z (*.f64 z (+.f64 (*.f64 1/24 (pow.f64 y 4)) (*.f64 -1/2 (pow.f64 y 2))))) (*.f64 -1/720 (*.f64 z (pow.f64 y 6))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) z) 0)
(*.f64 z (cos.f64 y))
(+.f64 0 (*.f64 (cos.f64 y) z))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 (cos.f64 y) (*.f64 z 1/2)) (*.f64 (cos.f64 y) (*.f64 z 1/2)))
(*.f64 z (cos.f64 y))
(-.f64 (*.f64 (cos.f64 y) z) 0)
(*.f64 z (cos.f64 y))
(/.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 z (cos.f64 y))
(/.f64 (*.f64 (cos.f64 y) (+.f64 z z)) 2)
(*.f64 z (cos.f64 y))
(/.f64 (*.f64 (cos.f64 y) (*.f64 z 4)) 4)
(*.f64 z (cos.f64 y))
(/.f64 (*.f64 (*.f64 (cos.f64 y) z) 8) 8)
(*.f64 z (cos.f64 y))
(/.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8)) 16)
(*.f64 z (cos.f64 y))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8))) 32)
(*.f64 z (cos.f64 y))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 y) z) 8)))) 64)
(*.f64 z (cos.f64 y))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
✓0.2b
(*.f64 (sin.f64 y) x)
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

6 calls:

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

rewrite75.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1364×rational.json-simplify-35
1304×bool.json-1
1304×bool.json-2
1266×rational.json-1
1266×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
17311
222411
347811
499811
5221611
6489911
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 y) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))))))

simplify238.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
2278×rational.json-simplify-2
1860×rational.json-simplify-35
974×rational.json-simplify-53
952×rational.json-simplify-48
914×rational.json-simplify-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058293
1134293
2261275
3542263
42011263
53629263
64463263
74899263
85428263
96409263
106918263
117354263
127574263
Stop Event
1×node limit
Counts
15 → 30
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 (sin.f64 y) x) 0)
(+.f64 0 (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (*.f64 x 1/2)))
(-.f64 (*.f64 (sin.f64 y) x) 0)
(/.f64 (*.f64 (sin.f64 y) x) 1)
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(/.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) 8) 8)
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8)) 16)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8))) 32)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8)))) 64)
Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(+.f64 (*.f64 y x) (*.f64 x (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 1/120 (*.f64 x (pow.f64 y 5)))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 x (*.f64 -1/6 (pow.f64 y 3))) (*.f64 (pow.f64 y 5) (*.f64 x 1/120))))
(+.f64 (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 (pow.f64 y 5) (*.f64 x 1/120)))
(*.f64 x (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 x (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 y x) (+.f64 (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 -1/5040 (*.f64 x (pow.f64 y 7)))) (*.f64 1/120 (*.f64 x (pow.f64 y 5)))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 5) (*.f64 x 1/120)) (+.f64 (*.f64 x (*.f64 -1/6 (pow.f64 y 3))) (*.f64 (pow.f64 y 7) (*.f64 x -1/5040)))))
(+.f64 (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (+.f64 (*.f64 (pow.f64 y 7) (*.f64 x -1/5040)) (*.f64 (pow.f64 y 5) (*.f64 x 1/120))))
(+.f64 (*.f64 x (*.f64 -1/6 (pow.f64 y 3))) (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7))))))
(+.f64 (*.f64 x (*.f64 -1/6 (pow.f64 y 3))) (*.f64 x (+.f64 y (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 x (+.f64 y (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))))
(+.f64 (*.f64 (sin.f64 y) x) 0)
(*.f64 x (sin.f64 y))
(+.f64 0 (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (*.f64 x 1/2)))
(*.f64 x (sin.f64 y))
(-.f64 (*.f64 (sin.f64 y) x) 0)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) 8) 8)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8)) 16)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8))) 32)
(*.f64 x (sin.f64 y))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sin.f64 y) x) 8)))) 64)
(*.f64 x (sin.f64 y))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)
0.2b
(*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1))
0.5b
(-.f64 1 (neg.f64 (sin.f64 y)))
3.4b
(+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)
Compiler

Compiled 45 to 24 computations (46.7% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)
0.0ms
y
@0
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)
0.0ms
x
@inf
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)
0.0ms
y
@inf
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)
0.0ms
x
@-inf
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)

rewrite69.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1338×bool.json-1
1338×bool.json-2
1296×rational.json-1
1296×rational.json-2
1296×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01433
115027
240817
388017
4190117
5447117
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 x (sin.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 x (sin.f64 y)) z) (+.f64 (*.f64 x (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 x (sin.f64 y)) z) (+.f64 (*.f64 x (sin.f64 y)) z))))))

simplify233.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
2012×rational.json-simplify-1
1356×rational.json-simplify-52
1018×rational.json-simplify-35
990×rational.json-simplify-48
974×rational.json-simplify-2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059879
1119879
2288867
3570861
41290861
52555861
63241861
73386861
83818861
94666861
105094861
115334861
126165861
136814861
147698861
Stop Event
1×node limit
Counts
53 → 32
Calls
Call 1
Inputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 0)
(*.f64 1 (+.f64 (*.f64 x (sin.f64 y)) z))
(*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)
(*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 1/4)
(*.f64 1/2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2) 2)
(*.f64 1/4 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))
(*.f64 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 2)
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4)) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4)))) 32)
Outputs
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 z (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 y x)))
(+.f64 z (+.f64 (*.f64 y x) (*.f64 x (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 z (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 y x) (+.f64 (+.f64 z (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))) (*.f64 1/120 (*.f64 x (pow.f64 y 5)))))
(+.f64 z (+.f64 (+.f64 (*.f64 y x) (*.f64 x (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 1/120 (*.f64 x (pow.f64 y 5)))))
(+.f64 z (+.f64 (*.f64 (pow.f64 y 5) (*.f64 x 1/120)) (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(+.f64 z (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(+.f64 z (*.f64 x (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3))))))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (*.f64 (sin.f64 y) x))
(-.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 0)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 1 (+.f64 (*.f64 x (sin.f64 y)) z))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 1/2)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 4 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 1/4)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 1/2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1/2) 2)
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 1/4 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))
(+.f64 z (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 1)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 2) 2)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4) 4)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4)) 8)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))) 16)
(+.f64 z (*.f64 (sin.f64 y) x))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x (sin.f64 y)) z) 4)))) 32)
(+.f64 z (*.f64 (sin.f64 y) x))

eval69.0ms (0.5%)

Compiler

Compiled 3761 to 2387 computations (36.5% saved)

prune47.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New2981299
Fresh011
Picked101
Done055
Total2997306
Error
0.2b
Counts
306 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.1b
(+.f64 (*.f64 y x) z)
✓0.2b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
▶44.8b
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1) x)
✓38.2b
(*.f64 (sin.f64 y) x)
✓24.8b
(*.f64 (cos.f64 y) z)
✓55.5b
(*.f64 y x)
40.0b
z
Compiler

Compiled 56 to 40 computations (28.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
✓0.2b
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1) x)
0.5b
(-.f64 1 (neg.f64 (sin.f64 y)))
3.4b
(+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1190×bool.json-1
1190×bool.json-2
1148×rational.json-1
1148×rational.json-2
1148×rational.json-4
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01227
113121
236911
380311
4172111
5402611
Stop Event
1×node limit
Counts
1 → 10
Calls
Call 1
Inputs
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) x))))))

simplify209.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
2108×rational.json-simplify-2
2106×rational.json-simplify-45
1688×rational.json-simplify-35
1058×rational.json-simplify-53
948×rational.json-simplify-48
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055502
1125502
2238484
3473472
41286472
52204472
63027472
73232472
83685472
94600472
105038472
115226472
125837472
136504472
Stop Event
1×node limit
Counts
34 → 31
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 (sin.f64 y) x) 0)
(+.f64 0 (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (*.f64 x 1/2)))
(-.f64 (*.f64 (sin.f64 y) x) 0)
(/.f64 (*.f64 (sin.f64 y) x) 1)
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(/.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))))) 32)
Outputs
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(+.f64 (*.f64 y x) (*.f64 x (*.f64 (pow.f64 y 3) -1/6)))
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 1/120 (*.f64 x (pow.f64 y 5)))))
(+.f64 (*.f64 x (*.f64 (pow.f64 y 3) -1/6)) (+.f64 (*.f64 y x) (*.f64 x (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 x (*.f64 -1/6 (pow.f64 y 3))) (*.f64 x (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 x (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (*.f64 y x) (+.f64 (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 -1/5040 (*.f64 x (pow.f64 y 7)))) (*.f64 1/120 (*.f64 x (pow.f64 y 5)))))
(+.f64 (*.f64 y x) (+.f64 (*.f64 x (*.f64 1/120 (pow.f64 y 5))) (+.f64 (*.f64 x (*.f64 (pow.f64 y 3) -1/6)) (*.f64 x (*.f64 (pow.f64 y 7) -1/5040)))))
(+.f64 (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (+.f64 (*.f64 (pow.f64 y 7) (*.f64 x -1/5040)) (*.f64 (pow.f64 y 5) (*.f64 x 1/120))))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 x (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (+.f64 y (*.f64 1/120 (pow.f64 y 5))))))
(+.f64 (*.f64 x (*.f64 1/120 (pow.f64 y 5))) (*.f64 x (+.f64 y (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 -1/6 (pow.f64 y 3))))))
(+.f64 (*.f64 (pow.f64 y 3) (*.f64 x -1/6)) (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7))))))
(+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 3))) (*.f64 x (+.f64 y (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 (sin.f64 y) x) 0)
(*.f64 x (sin.f64 y))
(+.f64 0 (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(+.f64 (*.f64 (sin.f64 y) (*.f64 x 1/2)) (*.f64 (sin.f64 y) (*.f64 x 1/2)))
(*.f64 x (sin.f64 y))
(-.f64 (*.f64 (sin.f64 y) x) 0)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (+.f64 x x)) 2)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (*.f64 x 4)) 4)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))) 8)
(*.f64 x (sin.f64 y))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) 16)
(*.f64 x (sin.f64 y))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4)))) (*.f64 2 (*.f64 2 (*.f64 (sin.f64 y) (*.f64 x 4))))) 32)
(*.f64 x (sin.f64 y))

eval41.0ms (0.3%)

Compiler

Compiled 2257 to 1571 computations (30.4% saved)

prune30.0ms (0.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1822184
Fresh011
Picked101
Done055
Total1838191
Error
0.2b
Counts
191 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.1b
(+.f64 (*.f64 y x) z)
✓0.2b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
44.9b
(*.f64 (-.f64 (+.f64 (sin.f64 y) 2) 2) x)
62.1b
(*.f64 (+.f64 1 -1) x)
✓38.2b
(*.f64 (sin.f64 y) x)
✓24.8b
(*.f64 (cos.f64 y) z)
✓55.5b
(*.f64 y x)
40.0b
z
Compiler

Compiled 63 to 46 computations (27% saved)

regimes35.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
z
(*.f64 y x)
(*.f64 (+.f64 1 -1) x)
(+.f64 (*.f64 y x) z)
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 (-.f64 (+.f64 (sin.f64 y) 2) 2) x)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1) x)
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

9.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms
y
8.0ms
z
7.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
0.2b1y
0.2b1z
0.2b1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 127 to 65 computations (48.8% saved)

regimes377.0ms (2.8%)

Counts
12 → 3
Calls
Call 1
Inputs
z
(*.f64 y x)
(*.f64 (+.f64 1 -1) x)
(+.f64 (*.f64 y x) z)
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 (-.f64 (+.f64 (sin.f64 y) 2) 2) x)
(+.f64 (*.f64 y x) (*.f64 z (cos.f64 y)))
(*.f64 (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1) x)
(+.f64 (*.f64 x (+.f64 (-.f64 1 (neg.f64 (sin.f64 y))) -1)) z)
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1/2 (*.f64 z (pow.f64 y 2)))))
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

329.0ms
x
25.0ms
y
21.0ms
z
Results
ErrorSegmentsBranch
8.1b3x
12.7b3y
7.8b3z
Compiler

Compiled 92 to 50 computations (45.7% saved)

bsearch129.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
99.0ms
3.419643350310442e+61
4.143322969997955e+64
30.0ms
-2.2547364900229937e+108
-1.1043463568997018e+106
Results
91.0ms58×body1024valid
25.0ms145×body256valid
11.0ms37×body512valid
Compiler

Compiled 288 to 208 computations (27.8% saved)

regimes661.0ms (4.8%)

Counts
6 → 5
Calls
Call 1
Inputs
z
(*.f64 y x)
(*.f64 (+.f64 1 -1) x)
(+.f64 (*.f64 y x) z)
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
Calls

3 calls:

372.0ms
z
166.0ms
x
122.0ms
y
Results
ErrorSegmentsBranch
12.8b5x
13.3b6y
15.6b3z
Compiler

Compiled 37 to 22 computations (40.5% saved)

bsearch162.0ms (1.2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
24.0ms
1.0360179452069724e+39
1.2050067684050333e+40
81.0ms
-1.1479907813288168e+64
-6.02518220374654e+57
35.0ms
-7.908326818107405e+80
-5.797680069605018e+76
22.0ms
-2.6611861726495624e+125
-1.1100387992387458e+125
Results
50.0ms117×body1024valid
42.0ms260×body256valid
20.0ms71×body512valid
Compiler

Compiled 466 to 349 computations (25.1% saved)

regimes298.0ms (2.2%)

Counts
5 → 3
Calls
Call 1
Inputs
z
(*.f64 y x)
(*.f64 (+.f64 1 -1) x)
(+.f64 (*.f64 y x) z)
(*.f64 (cos.f64 y) z)
Outputs
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 y x) z)
(*.f64 (cos.f64 y) z)
Calls

3 calls:

267.0ms
z
18.0ms
y
11.0ms
x
Results
ErrorSegmentsBranch
21.0b3x
18.1b3y
21.2b3z
Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch347.0ms (2.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
11.0ms
1.1519027982616756e-26
1.8102499995645068e-26
337.0ms
-1.936618332969913e-6
-7.104013602014743e-7
Results
345.0ms144×body256valid
Compiler

Compiled 171 to 121 computations (29.2% saved)

regimes13.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
z
(*.f64 y x)
(*.f64 (+.f64 1 -1) x)
(+.f64 (*.f64 y x) z)
Outputs
(+.f64 (*.f64 y x) z)
Calls

3 calls:

4.0ms
y
4.0ms
z
4.0ms
x
Results
ErrorSegmentsBranch
34.1b1x
34.1b1y
34.1b1z
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes82.0ms (0.6%)

Accuracy

Total -24.2b remaining (-62.9%)

Threshold costs -24.2b (-62.9%)

Counts
3 → 3
Calls
Call 1
Inputs
z
(*.f64 y x)
(*.f64 (+.f64 1 -1) x)
Outputs
z
(*.f64 y x)
z
Calls

3 calls:

69.0ms
z
9.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
38.7b3x
40.0b1y
38.5b3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch758.0ms (5.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
517.0ms
-5.833173437418995e-259
-1.0668723210709172e-268
241.0ms
-3.3028431983859475e-124
-5.167801696349539e-126
Results
706.0ms145×body256valid
36.0ms84×body1024valid
13.0ms43×body512valid
Compiler

Compiled 222 to 166 computations (25.2% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049269
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -160000000000000014565759848058949601673672639228077849144727317997454446325621346434466881560665795049029632) (*.f64 (cos.f64 y) z) (if (<=.f64 z 179999999999999999453170509709082682403171918679384631451582464) (+.f64 (*.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 x -111999999999999999852059192691095750935974838119968244043595881046518895286953038772930079704857298212391840856715254288089088) (*.f64 (sin.f64 y) x) (if (<=.f64 x -64999999999999995409883651561061811715397849607199111962125361570744725919498240) (*.f64 (cos.f64 y) z) (if (<=.f64 x -18999999999999999751979416997386299001452239934002359579967488) (*.f64 (sin.f64 y) x) (if (<=.f64 x 4400000000000000278736950861637114396672) (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(if (<=.f64 y -3659834024223975/2361183241434822606848) (*.f64 (cos.f64 y) z) (if (<=.f64 y 3136042293543369/174224571863520493293247799005065324265472) (+.f64 (*.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -2286436926500971/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) z (if (<=.f64 z -8178592996627807/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) (*.f64 y x) z))
z
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 z -160000000000000014565759848058949601673672639228077849144727317997454446325621346434466881560665795049029632) (*.f64 (cos.f64 y) z) (if (<=.f64 z 179999999999999999453170509709082682403171918679384631451582464) (+.f64 (*.f64 x (sin.f64 y)) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 x -111999999999999999852059192691095750935974838119968244043595881046518895286953038772930079704857298212391840856715254288089088) (*.f64 (sin.f64 y) x) (if (<=.f64 x -64999999999999995409883651561061811715397849607199111962125361570744725919498240) (*.f64 (cos.f64 y) z) (if (<=.f64 x -18999999999999999751979416997386299001452239934002359579967488) (*.f64 (sin.f64 y) x) (if (<=.f64 x 4400000000000000278736950861637114396672) (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))))
(if (<=.f64 y -3659834024223975/2361183241434822606848) (*.f64 (cos.f64 y) z) (if (<=.f64 y 3136042293543369/174224571863520493293247799005065324265472) (+.f64 (*.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -2286436926500971/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) z (if (<=.f64 z -8178592996627807/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888) (*.f64 y x) z))
z
Compiler

Compiled 128 to 72 computations (43.8% saved)

soundness0.0ms (0%)

end531.0ms (3.9%)

Compiler

Compiled 110 to 43 computations (60.9% saved)

Profiling

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