Details

Time bar (total: 12.6s)

analyze338.0ms (2.7%)

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

Compiled 13 to 9 computations (30.8% saved)

sample3.8s (30%)

Results
2.1s6153×body256valid
1.3s1390×body1024valid
363.0ms705×body512valid
9.0ms8×body2048valid

preprocess79.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02256
15756
212856
323756
442856
570056
6122956
7210156
8277356
9315656
10318856
033
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x))))
(+.f64 (cos.f64 x) (-.f64 y (*.f64 z (sin.f64 x))))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 z (-.f64 (cos.f64 y) (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(-.f64 (cos.f64 y) (fma.f64 x (sin.f64 y) (neg.f64 z)))
(+.f64 (cos.f64 y) (-.f64 z (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(+.f64 x (-.f64 (cos.f64 z) (*.f64 y (sin.f64 z))))
(+.f64 (cos.f64 z) (-.f64 x (*.f64 y (sin.f64 z))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify26.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11814
23814
36714
411814
518314
632214
753214
868314
984814
1095214
1196214
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))

eval1.0ms (0%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶0.0b
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(cos.f64 y)
✓0.0b
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
✓0.1b
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
Compiler

Compiled 29 to 8 computations (72.4% saved)

series33.0ms (0.3%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
26.0ms
z
@0
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
1.0ms
y
@0
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
1.0ms
x
@0
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
1.0ms
y
@-inf
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
1.0ms
y
@inf
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))

rewrite69.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
954×pow1_binary64
880×add-log-exp_binary64
879×log1p-expm1-u_binary64
879×expm1-log1p-u_binary64
103×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0928
119124
2257224
Stop Event
1×node limit
Counts
3 → 90
Calls
Call 1
Inputs
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(cos.f64 y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (sin.f64 y)) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (sin.f64 y)) 0) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2) (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (/.f64 1 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3)) (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))) (neg.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))) (*.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))) (-.f64 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(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 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (neg.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (neg.f64 (sqrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (cos.f64 y) 3)) (+.f64 0 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 0 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (cos.f64 y) 2)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))))

simplify90.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
878×cancel-sign-sub-inv_binary64
719×fma-neg_binary64
578×associate-*l*_binary64
467×unswap-sqr_binary64
436×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060760
1168752
2422740
31239737
43865737
Stop Event
1×node limit
Counts
154 → 122
Calls
Call 1
Inputs
(*.f64 -1 (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
-1
(-.f64 (*.f64 y z) 1)
(-.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 1/2 (pow.f64 y 2)))) 1)
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
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)))))
Outputs
(*.f64 -1 (cos.f64 y))
(neg.f64 (cos.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(+.f64 (*.f64 -1 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
-1
(-.f64 (*.f64 y z) 1)
(fma.f64 y z -1)
(-.f64 (+.f64 (*.f64 y z) (*.f64 1/2 (pow.f64 y 2))) 1)
(+.f64 (fma.f64 y z (*.f64 1/2 (*.f64 y y))) -1)
(fma.f64 y z (fma.f64 1/2 (*.f64 y y) -1))
(fma.f64 y z (fma.f64 y (*.f64 y 1/2) -1))
(fma.f64 y (+.f64 z (*.f64 y 1/2)) -1)
(-.f64 (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 1/2 (pow.f64 y 2)))) 1)
(+.f64 (fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 1/2 (*.f64 y y)))) -1)
(+.f64 (*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (fma.f64 1/2 (*.f64 y y) -1))
(fma.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (fma.f64 y (*.f64 y 1/2) -1))
(fma.f64 y z (fma.f64 (*.f64 y y) (+.f64 1/2 (*.f64 z (*.f64 y -1/6))) -1))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))
(fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 (fma.f64 (*.f64 y y) -1/2 x) (-.f64 1 (*.f64 y z)))
(-.f64 (fma.f64 y (*.f64 y -1/2) x) (fma.f64 y z -1))
(-.f64 x (fma.f64 y (+.f64 z (*.f64 y 1/2)) -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 (*.f64 y y) -1/2 (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (-.f64 1 (*.f64 y z)))
(-.f64 (fma.f64 y (*.f64 y -1/2) (fma.f64 z (*.f64 (pow.f64 y 3) 1/6) x)) (fma.f64 y z -1))
(-.f64 (fma.f64 y (*.f64 y -1/2) x) (fma.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) -1))
(-.f64 x (fma.f64 y z (fma.f64 (*.f64 y y) (+.f64 1/2 (*.f64 z (*.f64 y -1/6))) -1)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 (*.f64 y y) -1/2))
(fma.f64 (*.f64 y y) -1/2 1)
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 (*.f64 y y) -1/2 (*.f64 1/24 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) 1))
(fma.f64 1/24 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/2) 1))
(+.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)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 (*.f64 y y) -1/2 (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) 1)))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/2) 1)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts
3 → 64
Calls

21 calls:

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

rewrite90.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
521×log-prod_binary64
455×fma-def_binary64
372×pow-prod-down_binary64
286×pow2_binary64
217×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
120226
2301226
Stop Event
1×node limit
Counts
3 → 210
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
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(cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))))))

simplify63.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
673×associate-*l*_binary64
648×cancel-sign-sub-inv_binary64
516×associate-*r*_binary64
506×unswap-sqr_binary64
391×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
066701
1188695
2507684
31578677
44510674
Stop Event
1×node limit
Counts
274 → 240
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.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)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5))))
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 x (fma.f64 y (*.f64 y -1/2) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (*.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)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 1 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) 1)))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 (fma.f64 -1/2 (*.f64 y y) x) (-.f64 1 (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z)))
(-.f64 (fma.f64 y (*.f64 y -1/2) x) (fma.f64 y z -1))
(-.f64 x (fma.f64 y (+.f64 z (*.f64 y 1/2)) -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (-.f64 1 (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 y (*.f64 y -1/2) (fma.f64 z (*.f64 (pow.f64 y 3) 1/6) x)) (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 y (*.f64 y -1/2) x) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))
(-.f64 (fma.f64 y (*.f64 y -1/2) x) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) -1))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))

eval103.0ms (0.8%)

Compiler

Compiled 6428 to 1951 computations (69.6% saved)

prune207.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New38512397
Fresh000
Picked101
Done101
Total38712399
Error
0.0b
Counts
399 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.8b
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
▶20.5b
(-.f64 x (*.f64 z (sin.f64 y)))
25.2b
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
▶14.7b
(+.f64 (cos.f64 y) x)
31.3b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
35.0b
x
43.9b
(/.f64 1 (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))
▶1.0b
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
▶21.0b
(-.f64 x -1)
28.2b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
47.9b
(*.f64 (sin.f64 y) (neg.f64 z))
19.2b
(-.f64 x (-.f64 (*.f64 y z) 1))
Compiler

Compiled 316 to 191 computations (39.6% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 y)
0.1b
(*.f64 z (sin.f64 y))
✓0.4b
(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓0.6b
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
Compiler

Compiled 53 to 12 computations (77.4% saved)

series59.0ms (0.5%)

Counts
2 → 40
Calls

18 calls:

TimeVariablePointExpression
33.0ms
z
@inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
5.0ms
y
@0
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
4.0ms
z
@0
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
4.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
3.0ms
y
@inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)

rewrite85.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
589×log-prod_binary64
433×fma-def_binary64
417×pow-prod-down_binary64
327×pow2_binary64
223×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
126930
2345430
Stop Event
1×node limit
Counts
2 → 109
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> 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simplify117.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
820×associate-+l+_binary64
525×unswap-sqr_binary64
460×times-frac_binary64
398×associate-*r*_binary64
335×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02763592
110103450
239123266
368563260
Stop Event
1×node limit
Counts
149 → 161
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) (+.f64 1 x)))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2))) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (pow.f64 (*.f64 1 (+.f64 1 x)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) (+.f64 1 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (pow.f64 z 3))) (+.f64 (*.f64 -1/6 z) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 8)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (pow.f64 z 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z))))))))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/9))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z)))))) (pow.f64 y 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2))) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (pow.f64 (*.f64 1 (+.f64 1 x)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))))) (pow.f64 y 2)) (*.f64 (pow.f64 1 1/3) (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(*.f64 (+.f64 (cos.f64 y) x) (pow.f64 1 1/3))
(+.f64 (*.f64 (+.f64 (cos.f64 y) x) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y)))) z))
(+.f64 (*.f64 (+.f64 (cos.f64 y) x) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y)))) z) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))))))))
(+.f64 (*.f64 (+.f64 (cos.f64 y) x) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) (+.f64 (cos.f64 y) x)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (pow.f64 (sin.f64 y) 3))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (sin.f64 y) 3))))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (pow.f64 (sin.f64 y) 3))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (sin.f64 y) 3))))))) (*.f64 2/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (sin.f64 y) 3))))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 4) 1) 1/9) (sin.f64 y)))) z) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 4)) 1/9) (pow.f64 (sin.f64 y) 2))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 y) x)) 1/9) (pow.f64 (sin.f64 y) 2)))))))))
(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/9) x)) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/9) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 7)) 1/9) (pow.f64 x 2))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/9) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 7)) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/3)))) (pow.f64 x 3)))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1/3))))
(pow.f64 (+.f64 1 x) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/9) (*.f64 y z))) (pow.f64 (+.f64 1 x) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/9) (*.f64 y z))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (pow.f64 (+.f64 1 x) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/9) (*.f64 y z))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2)))) (+.f64 (pow.f64 (+.f64 1 x) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/3) (pow.f64 z 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/9) (pow.f64 z 2))) 1/2) z)))))))))))
(pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 1/3)
(pow.f64 (+.f64 (cos.f64 y) x) 1/3)
(+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/9) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/9) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (pow.f64 (sin.f64 y) 3))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (sin.f64 y) 3)))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/9) (*.f64 z (sin.f64 y)))))))
Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) 1) x))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/9)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/9))) x)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18)) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) -1/9))) (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) 1) x)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) -1/9)) (*.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)))) (*.f64 x x) (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) x)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 x (+.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4) 1/18)) (*.f64 (+.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 1/18) -1/9))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1/18)) 1/9)) x))))
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(*.f64 (pow.f64 1 1/3) (+.f64 1 x))
(+.f64 1 x)
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) (+.f64 1 x)))
(fma.f64 (*.f64 (*.f64 z (*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18))) -1) y (+.f64 1 x))
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18)) (*.f64 z -1)) (+.f64 1 x))
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(fma.f64 -1/9 (*.f64 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18)) (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18) (*.f64 z (sin.f64 y)))) (cbrt.f64 (+.f64 (cos.f64 y) x))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18) (*.f64 z (sin.f64 y)))) (cbrt.f64 (+.f64 (cos.f64 y) x))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (pow.f64 (sin.f64 y) 3))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (sin.f64 y) 3)))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/9) (*.f64 z (sin.f64 y)))))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (+.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 -1/3 (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2))) (pow.f64 z 3)) (fma.f64 -1/27 (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (*.f64 (*.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (*.f64 1 (pow.f64 (sin.f64 y) 3))))) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18)))))))
(fma.f64 -1/9 (*.f64 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18)) (fma.f64 -1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2))) (*.f64 (pow.f64 z 3) (fma.f64 2/9 (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (*.f64 -1/27 (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2))))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18) (*.f64 z (sin.f64 y))))) (cbrt.f64 (+.f64 (cos.f64 y) x))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 -1/3 (fma.f64 (*.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)))) 5/27) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/18) (*.f64 z (sin.f64 y))))) (cbrt.f64 (+.f64 (cos.f64 y) x))))

localize4.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts
1 → 7
Calls

6 calls:

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

rewrite48.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
612×pow1_binary64
569×add-log-exp_binary64
569×log1p-expm1-u_binary64
569×expm1-log1p-u_binary64
556×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11086
215116
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (cos.f64 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (cos.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 2) (cbrt.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (sqrt.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x (-.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))))

simplify188.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
2501×fma-def_binary64
726×sqr-pow_binary64
538×cube-prod_binary64
383×*-commutative_binary64
336×unpow3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02463
15763
213163
340063
4153363
5264363
6322863
7345463
8364963
9390063
10421563
11461463
12505063
13554663
14614963
15640563
16665163
17691363
18718763
19745163
Stop Event
1×node limit
Counts
40 → 42
Calls
Call 1
Inputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.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)) x))))
(cos.f64 y)
x
x
Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(fma.f64 y (*.f64 -1/2 y) (+.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 1 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/24) -1/2) x))
(fma.f64 1/24 (pow.f64 y 4) (fma.f64 y (*.f64 -1/2 y) (+.f64 1 x)))
(+.f64 1 (fma.f64 y (fma.f64 1/24 (pow.f64 y 3) (*.f64 -1/2 y)) x))
(+.f64 (*.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)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 1 (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 1/24 (pow.f64 y 4) x))))
(cos.f64 y)
x
x

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 28
Calls

9 calls:

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

rewrite55.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11519
220849
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 x (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sin.f64 y) (neg.f64 z)))))))

simplify73.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
825×distribute-rgt-neg-in_binary64
809×fma-def_binary64
703×distribute-lft-neg-in_binary64
596×unswap-sqr_binary64
549×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026262
174241
2196236
3502233
41500232
54261232
66535232
Stop Event
1×node limit
Counts
65 → 48
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(fma.f64 z (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 z y))
(fma.f64 z (fma.f64 -1 y (*.f64 1/6 (pow.f64 y 3))) x)
(fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x)
(fma.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y))
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) (-.f64 x (*.f64 z y)))
(fma.f64 z (fma.f64 -1 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) x)
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y))) x)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))
✓0.2b
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
✓8.3b
(sqrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 43 to 14 computations (67.4% saved)

series15.0ms (0.1%)

Counts
2 → 8
Calls

12 calls:

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

rewrite53.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
613×pow1_binary64
565×add-log-exp_binary64
565×log1p-expm1-u_binary64
565×expm1-log1p-u_binary64
551×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116314
2159214
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/4) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 1/4)) (pow.f64 (*.f64 z (sin.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 z)) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0548
1648
Stop Event
1×saturated
Counts
58 → 50
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))

eval185.0ms (1.5%)

Compiler

Compiled 11508 to 5445 computations (52.7% saved)

prune94.0ms (0.7%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New51210522
Fresh257
Picked101
Done134
Total51618534
Error
0b
Counts
534 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
42.5b
(cos.f64 y)
✓21.0b
(-.f64 x -1)
25.2b
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
✓14.7b
(+.f64 (cos.f64 y) x)
21.3b
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
▶0.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
▶32.8b
(-.f64 x (*.f64 y z))
43.3b
(/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
28.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))))
19.2b
(-.f64 x (-.f64 (*.f64 y z) 1))
1.4b
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
✓20.5b
(-.f64 x (*.f64 z (sin.f64 y)))
▶33.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
35.0b
x
28.2b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶47.9b
(*.f64 (sin.f64 y) (neg.f64 z))
▶40.6b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
14.8b
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
Compiler

Compiled 486 to 279 computations (42.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 51 to 18 computations (64.7% saved)

series15.0ms (0.1%)

Counts
4 → 36
Calls

18 calls:

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

rewrite64.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
769×pow1_binary64
708×add-log-exp_binary64
708×log1p-expm1-u_binary64
708×expm1-log1p-u_binary64
691×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
118123
2201323
Stop Event
1×node limit
Counts
4 → 63
Calls
Call 1
Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 z) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 z)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 z) (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) (sin.f64 y)) 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))))

simplify173.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
944×unswap-sqr_binary64
631×associate-+l+_binary64
625×distribute-rgt-out_binary64
528×sqr-pow_binary64
438×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044356
1130353
2424324
31492316
42292316
52936316
65129316
75483316
85586316
95717316
105904316
116173316
126554316
137264316
Stop Event
1×node limit
Counts
99 → 82
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 1 z) 1/3) y)
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3)))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
Outputs
(*.f64 (pow.f64 (*.f64 1 z) 1/3) y)
(*.f64 (cbrt.f64 z) y)
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))
(fma.f64 (cbrt.f64 z) y (*.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3))))
(fma.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3)) (*.f64 (cbrt.f64 z) y))
(*.f64 (cbrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 z) y (fma.f64 1/120 (*.f64 (cbrt.f64 z) (pow.f64 y 5)) (*.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 z) y (fma.f64 1/120 (*.f64 (cbrt.f64 z) (pow.f64 y 5)) (*.f64 (cbrt.f64 z) (*.f64 -1/6 (pow.f64 y 3)))))
(fma.f64 (cbrt.f64 z) (*.f64 1/120 (pow.f64 y 5)) (*.f64 (cbrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 (cbrt.f64 z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 (pow.f64 (*.f64 1 z) 1/3) y) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 7))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 5))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 z) 1/3) (pow.f64 y 3))))))
(fma.f64 (cbrt.f64 z) y (fma.f64 -1/5040 (*.f64 (cbrt.f64 z) (pow.f64 y 7)) (fma.f64 1/120 (*.f64 (cbrt.f64 z) (pow.f64 y 5)) (*.f64 -1/6 (*.f64 (cbrt.f64 z) (pow.f64 y 3))))))
(fma.f64 (cbrt.f64 z) y (fma.f64 -1/5040 (*.f64 (cbrt.f64 z) (pow.f64 y 7)) (fma.f64 1/120 (*.f64 (cbrt.f64 z) (pow.f64 y 5)) (*.f64 (cbrt.f64 z) (*.f64 -1/6 (pow.f64 y 3))))))
(+.f64 (*.f64 (cbrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y)) (*.f64 (cbrt.f64 z) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (cbrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 z) 1/3) (sin.f64 y))
(*.f64 (cbrt.f64 z) (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z y))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 z y (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))

localize5.0ms (0%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (sin.f64 y) (neg.f64 z))
Compiler

Compiled 14 to 6 computations (57.1% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite62.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
495×pow1_binary64
474×add-sqr-sqrt_binary64
454×add-log-exp_binary64
453×log1p-expm1-u_binary64
453×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11226
215446
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))))

simplify115.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
694×distribute-rgt-neg-in_binary64
572×distribute-lft-neg-in_binary64
552×fma-def_binary64
478×fma-neg_binary64
437×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028247
178241
2218228
3635226
42085226
54311226
66266226
77823226
Stop Event
1×node limit
Counts
37 → 23
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 y z))
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 1/6 (pow.f64 y 3)))) (*.f64 y z)))
(*.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (-.f64 (*.f64 1/5040 (pow.f64 y 7)) y)))
(*.f64 z (-.f64 (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) y))
(*.f64 z (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
0.1b
(*.f64 z (sin.f64 y))
0.2b
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
8.3b
(sqrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 34 to 12 computations (64.7% saved)

series5.0ms (0%)

Counts
1 → 22
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
1.0ms
z
@inf
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
1.0ms
y
@0
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
1.0ms
x
@0
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
1.0ms
z
@0
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))

rewrite56.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
963×pow1_binary64
894×add-log-exp_binary64
893×log1p-expm1-u_binary64
893×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
12159
224579
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))))))

simplify25.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
101×fma-def_binary64
56×fma-neg_binary64
29×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010165
121165
237165
350165
466165
5100165
6155165
7205165
8270165
9344165
10394165
11400165
Stop Event
1×saturated
Counts
60 → 44
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
x
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
x
x
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 z (neg.f64 (sin.f64 y)) x)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 10 computations (76.2% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite52.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
641×pow1_binary64
588×add-log-exp_binary64
588×log1p-expm1-u_binary64
588×expm1-log1p-u_binary64
573×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
113814
2164014
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))))

simplify84.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1003×fma-def_binary64
602×associate-*r*_binary64
446×neg-sub0_binary64
437×neg-mul-1_binary64
365×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048356
1132343
2390316
31178312
43301312
55569312
67662312
Stop Event
1×node limit
Counts
58 → 39
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
Outputs
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(fma.f64 y (sqrt.f64 z) (*.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3))))
(*.f64 (sqrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3)) (*.f64 1/120 (*.f64 (sqrt.f64 z) (pow.f64 y 5)))))
(fma.f64 y (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 (sqrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5))))
(*.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (sqrt.f64 z) (pow.f64 y 3)) (fma.f64 -1/5040 (*.f64 (sqrt.f64 z) (pow.f64 y 7)) (*.f64 1/120 (*.f64 (sqrt.f64 z) (pow.f64 y 5))))))
(+.f64 (*.f64 (sqrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (sqrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (sqrt.f64 z) (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (+.f64 y (fma.f64 1/120 (pow.f64 y 5) (fma.f64 -1/6 (pow.f64 y 3) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))

eval90.0ms (0.7%)

Compiler

Compiled 6233 to 2294 computations (63.2% saved)

prune78.0ms (0.6%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New3815386
Fresh2810
Picked101
Done167
Total38519404
Error
0b
Counts
404 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.5b
(cos.f64 y)
✓21.0b
(-.f64 x -1)
✓20.5b
(-.f64 x (*.f64 z (sin.f64 y)))
▶56.7b
(*.f64 y (neg.f64 z))
25.2b
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
✓14.7b
(+.f64 (cos.f64 y) x)
21.3b
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
43.3b
(/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
35.0b
x
19.2b
(-.f64 x (-.f64 (*.f64 y z) 1))
▶1.4b
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
40.6b
(-.f64 x (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))))
20.8b
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
▶28.2b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓47.9b
(*.f64 (sin.f64 y) (neg.f64 z))
✓40.6b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
▶42.9b
(-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓32.8b
(-.f64 x (*.f64 y z))
14.8b
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
Compiler

Compiled 454 to 257 computations (43.4% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
✓0.4b
(cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))
✓0.4b
(cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))
✓0.4b
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
Compiler

Compiled 133 to 17 computations (87.2% saved)

series361.0ms (2.9%)

Counts
4 → 128
Calls

36 calls:

TimeVariablePointExpression
75.0ms
y
@inf
(cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))
73.0ms
y
@inf
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
35.0ms
y
@-inf
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
35.0ms
y
@-inf
(cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))
17.0ms
y
@0
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)

rewrite131.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
604×prod-diff_binary64
599×log-prod_binary64
330×pow2_binary64
253×fma-def_binary64
232×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014105
129477
2366975
Stop Event
1×node limit
Counts
4 → 94
Calls
Call 1
Inputs
(pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2)
(cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))
(cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2)) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))) (cbrt.f64 (fma.f64 z (sin.f64 y) (+.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (log.f64 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simplify310.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
689×distribute-rgt-in_binary64
686×distribute-lft-in_binary64
361×*-commutative_binary64
323×times-frac_binary64
297×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088616494
1320315670
Stop Event
1×node limit
Counts
222 → 290
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8) 1/9)
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8) 1/9) (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 10)) 1/9) (*.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) x))))
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8) 1/9) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 10)) 1/9) (*.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) x))) (*.f64 (+.f64 (*.f64 4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 28)) 1/9) (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) 2) (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 4))) (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) 2) (*.f64 2 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))) (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 4))))) (*.f64 2/81 (/.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) 2) (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 4)))) (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8) 1) 1/9)))) (pow.f64 x 2))))
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(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 8) 1/9)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/9)
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8)) 1/9) x)) (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/9))
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8)) 1/9) x)) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/9) (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 17)) 1/9) (pow.f64 x 2)))))
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8)) 1/9) x)) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/9) (+.f64 (*.f64 -4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 17)) 1/9) (pow.f64 x 2))) (*.f64 68/2187 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 26)) 1/9) (pow.f64 x 3))))))
(pow.f64 x 1/9)
(+.f64 (pow.f64 x 1/9) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)))))
(+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)))) (*.f64 (+.f64 (*.f64 1/162 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) (*.f64 -1/18 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(+.f64 (pow.f64 x 1/9) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9) (+.f64 (*.f64 -1/162 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 3)) (+.f64 (*.f64 1/27 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 3)) (*.f64 1/4374 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 3))))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)))) (*.f64 (+.f64 (*.f64 1/162 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) (*.f64 -1/18 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9)))))
(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 1/9 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/162 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) (*.f64 -1/18 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4374 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 3)) (+.f64 (*.f64 1/162 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 3)) (*.f64 -1/27 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 3)))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/162 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) (*.f64 -1/18 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(pow.f64 (+.f64 (cos.f64 y) x) 1/9)
(+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/9) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/9) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/9) (*.f64 (+.f64 (*.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2))) (*.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (pow.f64 z 2))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/9) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/9) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/9) (*.f64 (+.f64 (*.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2))) (*.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (pow.f64 z 2))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/9) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/9) (*.f64 (+.f64 (*.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))) (+.f64 (*.f64 -1/4374 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 -1/27 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))))) (pow.f64 z 3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/9) (*.f64 z (sin.f64 y)))))))
(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))))
(+.f64 (*.f64 -1/9 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))))) (*.f64 z (sin.f64 y)))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))) (+.f64 (*.f64 1/162 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/18 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))))) (*.f64 z (sin.f64 y)))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/27 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3))) (+.f64 (*.f64 -1/4374 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3))) (*.f64 1/162 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3))))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))))) (pow.f64 z 3)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))) (+.f64 (*.f64 1/162 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/18 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (+.f64 (*.f64 -1/9 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y))))))) (*.f64 z (sin.f64 y)))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (*.f64 -1 (sin.f64 y)))))))))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (*.f64 -1/9 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y)))) z)) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 -1/9 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y)))) z)) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) (+.f64 (*.f64 1/162 (pow.f64 (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y))) 2)) (*.f64 -1/18 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2))))
(+.f64 (*.f64 -1/9 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y)))) z)) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4374 (pow.f64 (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y))) 3)) (+.f64 (*.f64 -1/162 (/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y)))) (pow.f64 (sin.f64 y) 2))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3))))) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z))))))) (pow.f64 z 3))) (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (sin.f64 y)) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) (+.f64 (*.f64 1/162 (pow.f64 (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y))) 2)) (*.f64 -1/18 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)))))
(pow.f64 (+.f64 1 x) 1/9)
(+.f64 (pow.f64 (+.f64 1 x) 1/9) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 8)) 1/9) (*.f64 y z))))
(+.f64 (pow.f64 (+.f64 1 x) 1/9) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 x)) 1/9) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/162 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))) (*.f64 1/18 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 1 x))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 8)) 1/9) (*.f64 y z)))))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 x)) 1/9) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/54 (+.f64 (/.f64 z (+.f64 1 x)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 1 x) 3))) (*.f64 -3 (/.f64 z (pow.f64 (+.f64 1 x) 2)))))) (+.f64 (*.f64 -1/4374 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 1 x) 3))) (*.f64 -1/162 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 1 x))) z) (+.f64 1 x))))))) (+.f64 (pow.f64 (+.f64 1 x) 1/9) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 1 x)) 1/9) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/162 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))) (*.f64 1/18 (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 1 x))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 8)) 1/9) (*.f64 y z))))))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/9)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/9)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/9)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/9)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/9)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/9)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/9)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/9)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) 1/9) x)) (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) 1/9) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 7)) 1/9) (pow.f64 x 2))) (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) 1/9) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 7)) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) 1/3))) (pow.f64 x 3)))))))
(pow.f64 (+.f64 (cos.f64 y) x) 1/3)
(+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/9) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/9) (*.f64 z (sin.f64 y))))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (pow.f64 (sin.f64 y) 3))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (sin.f64 y) 3)))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2)) 1/9) (*.f64 z (sin.f64 y)))))))
(pow.f64 (+.f64 1 x) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) 1/9) (*.f64 y z))) (pow.f64 (+.f64 1 x) 1/3))
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(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 4) 1/9)
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(pow.f64 (pow.f64 x 4) 1/9)
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(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))
(+.f64 (*.f64 -4/9 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))))
(+.f64 (*.f64 -4/9 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (+.f64 (*.f64 8/81 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 1/18 (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (sin.f64 y) 4))))))) (pow.f64 z 2)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))))
(+.f64 (*.f64 -4/9 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (+.f64 (cos.f64 y) x)) (*.f64 z (sin.f64 y)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (+.f64 (*.f64 8/81 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 1/18 (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (sin.f64 y) 4))))))) (pow.f64 z 2)) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (+.f64 (*.f64 1/54 (+.f64 (*.f64 24 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 (sin.f64 y) 5))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -128 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3)))))) (+.f64 (*.f64 -2/81 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (sin.f64 y) 4))))) (sin.f64 y))) (*.f64 -32/2187 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3)))))) (pow.f64 z 3)))))
(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))
(+.f64 (*.f64 -4/9 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))) (*.f64 z (sin.f64 y)))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))))
(+.f64 (*.f64 -4/9 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))) (*.f64 z (sin.f64 y)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (+.f64 (*.f64 8/81 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 1/18 (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (sin.f64 y) 4))))))) (pow.f64 z 2)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))))
(+.f64 (*.f64 -4/9 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))) (*.f64 z (sin.f64 y)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (+.f64 (*.f64 8/81 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 1/18 (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (sin.f64 y) 4))))))) (pow.f64 z 2)) (+.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2/81 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 -16 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (sin.f64 y) 4))))) (sin.f64 y))) (+.f64 (*.f64 1/54 (+.f64 (*.f64 128 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3))) (+.f64 (*.f64 24 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3))) (*.f64 -24 (/.f64 (*.f64 (+.f64 (cos.f64 y) x) (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))))) (pow.f64 (sin.f64 y) 5)))))) (*.f64 32/2187 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (pow.f64 (sin.f64 y) 3))))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))) (pow.f64 z 3))))))
(pow.f64 (pow.f64 (+.f64 1 x) 4) 1/9)
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/9) (*.f64 -4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 y z))))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/9) (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 y z))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 8/81 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))) (*.f64 1/18 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 z 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (pow.f64 z 2) (*.f64 -1 (+.f64 1 x)))))) (pow.f64 (+.f64 1 x) 4))) (*.f64 -16 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))))))))))
(+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/9) (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/9) (*.f64 y z))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 8/81 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))) (*.f64 1/18 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 z 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (pow.f64 z 2) (*.f64 -1 (+.f64 1 x)))))) (pow.f64 (+.f64 1 x) 4))) (*.f64 -16 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2)))))))) (*.f64 (*.f64 (+.f64 (*.f64 -32/2187 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 1 x) 3))) (+.f64 (*.f64 1/54 (+.f64 (*.f64 6 (/.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 1 x) (*.f64 z (+.f64 (pow.f64 z 2) (*.f64 -1 (+.f64 1 x)))))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (+.f64 1 x) z)) z) (pow.f64 (+.f64 1 x) 2)))) (pow.f64 (+.f64 1 x) 4))) (+.f64 (*.f64 -128 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 1 x) 3))) (*.f64 24 (/.f64 (*.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 z 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (pow.f64 z 2) (*.f64 -1 (+.f64 1 x)))))) z) (pow.f64 (+.f64 1 x) 5)))))) (*.f64 -2/81 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 z 2))) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (pow.f64 z 2) (*.f64 -1 (+.f64 1 x)))))) (pow.f64 (+.f64 1 x) 4))) (*.f64 -16 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2)))) z) (+.f64 1 x))))) (pow.f64 y 3)) (pow.f64 (*.f64 1 (pow.f64 (+.f64 1 x) 4)) 1/9)))))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
Outputs
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 8) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 8) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 8) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 8) 1/18))
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8) 1/9) (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 10)) 1/9) (*.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) x))))
(+.f64 (*.f64 4/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 10)) 1/18)) (*.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) x))) (*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 8) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 8) 1/18)))
(+.f64 (*.f64 4/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 10)) 1/18)) (*.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) x))) (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 8) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 8) 1/18)))
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8) 1/9) (+.f64 (*.f64 4/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 10)) 1/9) (*.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) x))) (*.f64 (+.f64 (*.f64 4/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 28)) 1/9) (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/18 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) 2) (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 4))) (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) 2) (*.f64 2 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))) (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 4))))) (*.f64 2/81 (/.f64 (pow.f64 (+.f64 (*.f64 2 (cos.f64 y)) (*.f64 -2 (*.f64 z (sin.f64 y)))) 2) (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 4)))) (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 8) 1) 1/9)))) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 8) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 8) 1/18)) (fma.f64 4/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 10)) 1/18)) (*.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) x)) (*.f64 (fma.f64 4/81 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 28)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 28)) 1/18)) (pow.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) 2)) (*.f64 2 (*.f64 (fma.f64 1/18 (fma.f64 -4 (/.f64 (pow.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) 2) (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 4)) (*.f64 2 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) 2) (*.f64 2 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 2))) (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 4)))) (*.f64 (/.f64 (pow.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) 2) (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 4)) 2/81)) (*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 8) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) 8) 1/18))))) (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 8) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 8) 1/18)) (fma.f64 4/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 10)) 1/18)) (*.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) x)) (*.f64 (fma.f64 4/81 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 28)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 28)) 1/18)) (pow.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) 2)) (*.f64 2 (*.f64 (fma.f64 1/18 (fma.f64 -4 (/.f64 (pow.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) (*.f64 2 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) 2) (*.f64 2 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)))) (*.f64 (/.f64 (pow.f64 (fma.f64 2 (cos.f64 y) (*.f64 (*.f64 z (sin.f64 y)) -2)) 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 4)) 2/81)) (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 8) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 8) 1/18))))) (*.f64 x x))))
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(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
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(+.f64 (fma.f64 1/9 (*.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) -4/81) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4374 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 3)) (+.f64 (*.f64 1/162 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 3)) (*.f64 -1/27 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 3)))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/162 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2)) (*.f64 -1/18 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) 2))) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
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(-.f64 (+.f64 (fma.f64 1/9 (*.f64 (/.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) -4/81) x))) (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) -68/2187) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(pow.f64 (+.f64 (cos.f64 y) x) 1/9)
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(+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/9) (*.f64 (+.f64 (*.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2))) (*.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (pow.f64 z 2))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/9) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/9) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/18) (pow.f64 (+.f64 (cos.f64 y) x) 1/18)) (*.f64 (*.f64 z z) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)) -4/81)) (+.f64 (*.f64 -1/9 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/18)))) (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/18) (pow.f64 (+.f64 (cos.f64 y) x) 1/18))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)) -4/81)) 1) (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/18) (pow.f64 (+.f64 (cos.f64 y) x) 1/18))) (*.f64 -1/9 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/18)))))
(+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/9) (*.f64 (+.f64 (*.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2))) (*.f64 -1/18 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (pow.f64 z 2))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/9) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 y) x) 1) 1/9) (*.f64 (+.f64 (*.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))) (+.f64 (*.f64 -1/4374 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 -1/27 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3))))) (pow.f64 z 3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/9) (*.f64 z (sin.f64 y)))))))
(fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/18) (pow.f64 (+.f64 (cos.f64 y) x) 1/18)) (*.f64 (*.f64 z z) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)) -4/81)) (+.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/18) (pow.f64 (+.f64 (cos.f64 y) x) 1/18)) (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 y) x) 1/18) (pow.f64 (+.f64 (cos.f64 y) x) 1/18)) (*.f64 (pow.f64 z 3) (fma.f64 1/162 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 3)) -163/4374))) (*.f64 -1/9 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 8)) 1/18)))))))
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(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))
(pow.f64 (exp.f64 1/9) (fma.f64 -4 (neg.f64 (log.f64 z)) (log.f64 (pow.f64 (sin.f64 y) 4))))
(pow.f64 (exp.f64 1/9) (fma.f64 -4 (neg.f64 (log.f64 z)) (*.f64 4 (log.f64 (sin.f64 y)))))
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(fma.f64 -4/9 (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -4 (neg.f64 (log.f64 z)) (log.f64 (pow.f64 (sin.f64 y) 4)))) z) (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y))) (pow.f64 (exp.f64 1/9) (fma.f64 -4 (neg.f64 (log.f64 z)) (log.f64 (pow.f64 (sin.f64 y) 4)))))
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(fma.f64 -4/9 (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -4 (neg.f64 (log.f64 z)) (log.f64 (pow.f64 (sin.f64 y) 4)))) z) (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y))) (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -4 (neg.f64 (log.f64 z)) (log.f64 (pow.f64 (sin.f64 y) 4)))) (/.f64 (*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -4 (neg.f64 (log.f64 z)) (log.f64 (pow.f64 (sin.f64 y) 4)))) (fma.f64 8/81 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2)) (*.f64 1/18 (fma.f64 2 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (+.f64 (cos.f64 y) x) 2)) 6) (pow.f64 (sin.f64 y) 4)) (*.f64 -16 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (pow.f64 (sin.f64 y) 2))))))) (*.f64 z z))))
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(exp.f64 (*.f64 1/9 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 z))) (log.f64 (pow.f64 (sin.f64 y) 4)))))
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(+.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18)) (fma.f64 -4/9 (*.f64 (*.f64 z y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 5)) 1/18))) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 x) 4) 1/18)) (+.f64 (*.f64 (*.f64 y y) (fma.f64 8/81 (/.f64 (*.f64 z z) (pow.f64 (+.f64 1 x) 2)) (*.f64 1/18 (fma.f64 2 (/.f64 (fma.f64 4 (*.f64 (*.f64 z z) (pow.f64 (+.f64 1 x) 2)) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 z z) (+.f64 1 x))))) (pow.f64 (+.f64 1 x) 4)) (/.f64 -16 (/.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 z z))))))) (*.f64 (fma.f64 -32/2187 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 1/54 (fma.f64 6 (/.f64 (fma.f64 -4 (*.f64 (+.f64 1 x) (*.f64 z (-.f64 (*.f64 z z) (+.f64 1 x)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 x) 2) (fma.f64 1/3 (*.f64 z (+.f64 1 x)) z)))) (pow.f64 (+.f64 1 x) 4)) (fma.f64 -128 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 1 x) 3)) (*.f64 24 (*.f64 (/.f64 (fma.f64 4 (*.f64 (*.f64 z z) (pow.f64 (+.f64 1 x) 2)) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 z z) (+.f64 1 x))))) (pow.f64 (+.f64 1 x) 5)) z)))) (/.f64 (*.f64 (fma.f64 2 (/.f64 (fma.f64 4 (*.f64 (*.f64 z z) (pow.f64 (+.f64 1 x) 2)) (*.f64 2 (*.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 z z) (+.f64 1 x))))) (pow.f64 (+.f64 1 x) 4)) (/.f64 -16 (/.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 z z)))) -2/81) (/.f64 (+.f64 1 x) z)))) (pow.f64 y 3))))))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x)) 4) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x)) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))) 4) 1/18))

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts
1 → 16
Calls

6 calls:

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

rewrite55.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
834×pow1_binary64
771×add-log-exp_binary64
771×log1p-expm1-u_binary64
771×expm1-log1p-u_binary64
754×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
115111
2208711
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (neg.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))))

simplify91.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
619×distribute-rgt-neg-in_binary64
541×distribute-lft-neg-in_binary64
469×sub-neg_binary64
376×cancel-sign-sub-inv_binary64
357×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027181
169168
2169162
3502158
41669158
53782158
66290158
77533158
Stop Event
1×node limit
Counts
53 → 49
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 y (neg.f64 z) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 y y))))
(+.f64 1 (-.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 y z)))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))) (*.f64 y z)))
(+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) 1))
(fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(fma.f64 y (*.f64 y -1/2) (fma.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)) 1))
(fma.f64 y (*.f64 y -1/2) (fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) 1))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
0.1b
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
0.1b
(*.f64 (sin.f64 y) (sqrt.f64 z))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite87.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
761×prod-diff_binary64
514×log-prod_binary64
352×pow-prod-down_binary64
255×pow2_binary64
245×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
11929
225959
Stop Event
1×node limit
Counts
1 → 169
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (fma.f64 -1 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 y) (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z)))) (cbrt.f64 z) (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z)))) (cbrt.f64 z) (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z)))) (cbrt.f64 z) (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z)))) (cbrt.f64 z) (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z)))) (cbrt.f64 z) (*.f64 (*.f64 (pow.f64 z 1/6) (*.f64 (sin.f64 y) (sqrt.f64 z))) (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z))) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (sqrt.f64 z))) (sqrt.f64 z)) (cbrt.f64 (*.f64 z (pow.f64 (sin.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 y)) z)) 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fma.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z x) (*.f64 x x))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z x) (*.f64 x x))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z x) (*.f64 x x))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z x)) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (/.f64 1 (fma.f64 (sin.f64 y) z x)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sin.f64 y) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (sin.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 y) z))) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 y)) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) 1) (sqrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (cbrt.f64 z)) (pow.f64 z 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sqrt.f64 z))) (pow.f64 z 1/4)) (pow.f64 z 1/4) x)))))

simplify117.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
941×fma-def_binary64
837×fma-neg_binary64
481×distribute-rgt-neg-in_binary64
394×distribute-lft-neg-in_binary64
389×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032316
193313
2230308
3578305
41734304
53739304
65851304
77596304
Stop Event
1×node limit
Counts
205 → 182
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)
Outputs
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(fma.f64 y (neg.f64 z) x)
(fma.f64 z (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (*.f64 z y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 z y))
(fma.f64 z (fma.f64 -1 y (*.f64 1/6 (pow.f64 y 3))) x)
(fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 z y) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)))
(-.f64 (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 z y))
(fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) (-.f64 x (*.f64 z y)))
(fma.f64 z (fma.f64 -1 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) x)
(fma.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)

eval1.2s (9.4%)

Compiler

Compiled 45764 to 20434 computations (55.3% saved)

prune380.0ms (3%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New8424846
Fresh178
Picked011
Done1910
Total84421865
Error
0b
Counts
865 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
✓42.5b
(cos.f64 y)
✓21.0b
(-.f64 x -1)
✓20.5b
(-.f64 x (*.f64 z (sin.f64 y)))
✓56.7b
(*.f64 y (neg.f64 z))
✓14.7b
(+.f64 (cos.f64 y) x)
21.3b
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
43.3b
(/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
35.0b
x
48.4b
1
20.8b
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
✓47.9b
(*.f64 (sin.f64 y) (neg.f64 z))
42.8b
(fma.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
62.3b
(-.f64 0 (cos.f64 y))
40.6b
(-.f64 x (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))))
27.7b
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
✓28.2b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓40.6b
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
✓42.9b
(-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓32.8b
(-.f64 x (*.f64 y z))
14.8b
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
19.2b
(-.f64 x (-.f64 (*.f64 y z) 1))
Compiler

Compiled 257 to 159 computations (38.1% saved)

regimes183.0ms (1.4%)

Counts
33 → 1
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(-.f64 0 (cos.f64 y))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 x (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (sin.f64 y)) 2))))
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y))))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 x (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 2))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))))))
(fma.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) x)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))
Outputs
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
Calls

5 calls:

38.0ms
z
35.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
35.0ms
y
31.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
24.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.0b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 448 to 138 computations (69.2% saved)

regimes40.0ms (0.3%)

Counts
16 → 1
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(-.f64 0 (cos.f64 y))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 z (sin.f64 y)))) 3)
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

9.0ms
z
9.0ms
y
9.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 111 to 52 computations (53.2% saved)

regimes88.0ms (0.7%)

Counts
13 → 3
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(-.f64 0 (cos.f64 y))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

3 calls:

33.0ms
y
28.0ms
z
22.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
5.8b4y
3.5b3z
Compiler

Compiled 72 to 35 computations (51.4% saved)

bsearch111.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
54.0ms
3.401023881761313e-9
9.755591153807583e-5
57.0ms
-31461808.31811395
-2.1080808480476917e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes152.0ms (1.2%)

Counts
12 → 3
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(-.f64 0 (cos.f64 y))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 1 (+.f64 (cos.f64 y) x)) 1)
Outputs
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 z (sin.f64 y)))
Calls

3 calls:

75.0ms
y
45.0ms
x
27.0ms
z
Results
ErrorSegmentsBranch
9.1b3x
5.8b4y
3.5b3z
Compiler

Compiled 65 to 34 computations (47.7% saved)

bsearch175.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
84.0ms
1.3616549050694537e+23
5.36909919031251e+24
90.0ms
-3.028317977358803e+124
-4.526647074534798e+113
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes124.0ms (1%)

Counts
10 → 6
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(-.f64 0 (cos.f64 y))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(*.f64 (sin.f64 y) (neg.f64 z))
Calls

3 calls:

81.0ms
z
20.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
13.7b3x
9.2b3y
5.5b6z
Compiler

Compiled 51 to 28 computations (45.1% saved)

bsearch326.0ms (2.6%)

Algorithm
5×binary-search
Steps
TimeLeftRight
86.0ms
4.563922839544438e+239
6.086686190134192e+243
86.0ms
1.1697690408816735e+200
9.6962550655949e+201
50.0ms
2.021843281123916e+118
7.475006742022163e+125
52.0ms
-2.4242710173243785e+143
-1.482293862904703e+141
52.0ms
-6.592531959858113e+216
-9.762145433240941e+204
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes43.0ms (0.3%)

Counts
9 → 3
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(-.f64 0 (cos.f64 y))
(+.f64 (cos.f64 y) x)
Outputs
(+.f64 (cos.f64 y) x)
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

18.0ms
z
17.0ms
y
6.0ms
x
Results
ErrorSegmentsBranch
14.7b1x
9.2b3y
9.8b3z
Compiler

Compiled 46 to 26 computations (43.5% saved)

bsearch113.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
62.0ms
9.761974989807316e-5
402.3546205012707
51.0ms
-704050.1279253244
-1.383719257743358e-8
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes200.0ms (1.6%)

Counts
8 → 6
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(-.f64 0 (cos.f64 y))
Outputs
(-.f64 x -1)
(-.f64 x (-.f64 (*.f64 y z) 1))
(cos.f64 y)
(-.f64 x -1)
(cos.f64 y)
(-.f64 x -1)
Calls

3 calls:

151.0ms
y
30.0ms
z
16.0ms
x
Results
ErrorSegmentsBranch
15.0b3x
14.2b6y
16.0b3z
Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch518.0ms (4.1%)

Algorithm
5×binary-search
Steps
TimeLeftRight
77.0ms
2.9132438513657273e+232
2.069930323526478e+234
194.0ms
1.7215603961056001e+149
2.8371990600362436e+155
53.0ms
9.2124891195855e+94
1.3369582224799263e+96
157.0ms
2.1029162195330391e+68
2.0946961841570885e+70
38.0ms
-704050.1279253244
-1.383719257743358e-8
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes36.0ms (0.3%)

Counts
6 → 3
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
Outputs
(-.f64 x -1)
(-.f64 x (-.f64 (*.f64 y z) 1))
(-.f64 x -1)
Calls

3 calls:

14.0ms
y
14.0ms
z
6.0ms
x
Results
ErrorSegmentsBranch
19.2b1x
15.4b3y
16.0b3z
Compiler

Compiled 36 to 22 computations (38.9% saved)

bsearch75.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
36.0ms
9.761974989807316e-5
402.3546205012707
39.0ms
-704050.1279253244
-1.383719257743358e-8
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes167.0ms (1.3%)

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

3 calls:

149.0ms
z
12.0ms
y
5.0ms
x
Results
ErrorSegmentsBranch
21.0b1x
19.3b3y
17.1b3z
Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch125.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
54.0ms
7.010107671555544e+257
7.739692551034158e+269
71.0ms
-2.4242710173243785e+143
-1.482293862904703e+141
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes22.0ms (0.2%)

Counts
4 → 3
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
Outputs
(*.f64 y (neg.f64 z))
(-.f64 x -1)
(*.f64 y (neg.f64 z))
Calls

3 calls:

12.0ms
z
4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
21.0b1x
21.0b1y
18.1b3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch112.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
7.010107671555544e+257
7.739692551034158e+269
55.0ms
-6.465362759652451e+190
-2.6909188548008343e+181
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
1
x
(-.f64 x -1)
Outputs
(-.f64 x -1)
Calls

3 calls:

7.0ms
z
4.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
21.0b1x
21.0b1y
21.0b1z
Compiler

Compiled 20 to 15 computations (25% saved)

regimes30.0ms (0.2%)

Accuracy

Total -40.7b remaining (-189.3%)

Threshold costs -40.7b (-189.3%)

Counts
2 → 3
Calls
Call 1
Inputs
1
x
Outputs
x
1
x
Calls

3 calls:

15.0ms
y
10.0ms
x
3.0ms
z
Results
ErrorSegmentsBranch
21.5b3x
31.6b5y
35.0b1z
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch116.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
58.0ms
3.401023881761313e-9
9.755591153807583e-5
58.0ms
-31461808.31811395
-2.1080808480476917e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify26.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
17×+-commutative_binary64
16×sub-neg_binary64
12×*-commutative_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084385
1121385
2151385
3166385
4174385
5175385
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -8445464862457511/268435456) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x 4111585583787223/1208925819614629174706176) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -30283179773588031371305672070826806551142236668081249263048929884101496356617924716210573427919739804504817871424053990916096) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 136165490506945368424448) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -6592531959858112566735662956989506159437937843116164689489884622448530649076772171661906528232065561294116487811051339047209146064679462066999488656476027641696832446794389774810862221149588218025280438910838133227520) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -242427101732437852990550060006843005743128274394319572949141532548548466061172587927900003513595374145613144942138834683994667143832225332592640) (-.f64 x (-.f64 (*.f64 y z) 1)) (if (<=.f64 z 20218432811239161883087169601658507530626156690412469525894224049444047286334481154008896556320169045670899087990325248) (+.f64 (cos.f64 y) x) (if (<=.f64 z 116976904088167347799693151419175876143137429018229901693591667313034192420220953371118503668652667293588647798603863029236290989138529658385723461456289945827503299187791748631291347407710562023374848) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 456392283954443830110429964203086950060499037950452037187771290183563812832622128649583609679187714579896949216415289028430721497739853361034491275824704149126575899878508595778574996685308780418687143578950222523043199850680653182742298624) (-.f64 x (-.f64 (*.f64 y z) 1)) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -6047744548367769/8589934592) (+.f64 (cos.f64 y) x) (if (<=.f64 y 7203066171637159/73786976294838206464) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -6047744548367769/8589934592) (-.f64 x -1) (if (<=.f64 y 210291621953303912051455409396368654733149135805245307403469078921216) (-.f64 x (-.f64 (*.f64 y z) 1)) (if (<=.f64 y 92124891195854996505710170217588948462905317661279166194926961120150444327638443249946274562048) (cos.f64 y) (if (<=.f64 y 172156039610560012944112206382950245300416471242226305671246278791858557588517869708197629305323927593911387286534403303720043237088947400211599196160) (-.f64 x -1) (if (<=.f64 y 29132438513657273026766571336040653180866411889517154853784970054850755260511342208746893262150441253953003432810804573860325065148737312664865613413344010803380305212303264450962094335697615318863554565119962370480746601725401497600) (cos.f64 y) (-.f64 x -1))))))
(if (<=.f64 y -6047744548367769/8589934592) (-.f64 x -1) (if (<=.f64 y 7203066171637159/73786976294838206464) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1)))
(if (<=.f64 z -242427101732437852990550060006843005743128274394319572949141532548548466061172587927900003513595374145613144942138834683994667143832225332592640) (-.f64 x (*.f64 y z)) (if (<=.f64 z 701010767155554405565721094095669294542033013857183482954428829654150808465485274899117256936592987149382981813655067057253383568118795014649240835669546226730588233356728067135468298644801876267451995234895626366072280991815442092638192782694942461390749696) (-.f64 x -1) (-.f64 x (*.f64 y z))))
(if (<=.f64 z -64653627596524511591863522750205513326736050917981144278440809737738164910218625323852552587460687891182237179655522907913550278435523658605381292282424552343819190613487069990869579262328832) (*.f64 y (neg.f64 z)) (if (<=.f64 z 701010767155554405565721094095669294542033013857183482954428829654150808465485274899117256936592987149382981813655067057253383568118795014649240835669546226730588233356728067135468298644801876267451995234895626366072280991815442092638192782694942461390749696) (-.f64 x -1) (*.f64 y (neg.f64 z))))
(-.f64 x -1)
(if (<=.f64 x -8445464862457511/268435456) x (if (<=.f64 x 4111585583787223/1208925819614629174706176) 1 x))
1
Outputs
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -8445464862457511/268435456) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 x 4111585583787223/1208925819614629174706176) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -30283179773588031371305672070826806551142236668081249263048929884101496356617924716210573427919739804504817871424053990916096) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 136165490506945368424448) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -30283179773588031371305672070826806551142236668081249263048929884101496356617924716210573427919739804504817871424053990916096) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 136165490506945368424448) (+.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -6592531959858112566735662956989506159437937843116164689489884622448530649076772171661906528232065561294116487811051339047209146064679462066999488656476027641696832446794389774810862221149588218025280438910838133227520) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -242427101732437852990550060006843005743128274394319572949141532548548466061172587927900003513595374145613144942138834683994667143832225332592640) (-.f64 x (-.f64 (*.f64 y z) 1)) (if (<=.f64 z 20218432811239161883087169601658507530626156690412469525894224049444047286334481154008896556320169045670899087990325248) (+.f64 (cos.f64 y) x) (if (<=.f64 z 116976904088167347799693151419175876143137429018229901693591667313034192420220953371118503668652667293588647798603863029236290989138529658385723461456289945827503299187791748631291347407710562023374848) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 456392283954443830110429964203086950060499037950452037187771290183563812832622128649583609679187714579896949216415289028430721497739853361034491275824704149126575899878508595778574996685308780418687143578950222523043199850680653182742298624) (-.f64 x (-.f64 (*.f64 y z) 1)) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 z -6592531959858112566735662956989506159437937843116164689489884622448530649076772171661906528232065561294116487811051339047209146064679462066999488656476027641696832446794389774810862221149588218025280438910838133227520) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -242427101732437852990550060006843005743128274394319572949141532548548466061172587927900003513595374145613144942138834683994667143832225332592640) (-.f64 x (+.f64 (*.f64 z y) -1)) (if (<=.f64 z 20218432811239161883087169601658507530626156690412469525894224049444047286334481154008896556320169045670899087990325248) (+.f64 x (cos.f64 y)) (if (<=.f64 z 116976904088167347799693151419175876143137429018229901693591667313034192420220953371118503668652667293588647798603863029236290989138529658385723461456289945827503299187791748631291347407710562023374848) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 456392283954443830110429964203086950060499037950452037187771290183563812832622128649583609679187714579896949216415289028430721497739853361034491275824704149126575899878508595778574996685308780418687143578950222523043199850680653182742298624) (-.f64 x (+.f64 (*.f64 z y) -1)) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 z -6592531959858112566735662956989506159437937843116164689489884622448530649076772171661906528232065561294116487811051339047209146064679462066999488656476027641696832446794389774810862221149588218025280438910838133227520) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z -242427101732437852990550060006843005743128274394319572949141532548548466061172587927900003513595374145613144942138834683994667143832225332592640) (+.f64 x (-.f64 1 (*.f64 z y))) (if (<=.f64 z 20218432811239161883087169601658507530626156690412469525894224049444047286334481154008896556320169045670899087990325248) (+.f64 x (cos.f64 y)) (if (<=.f64 z 116976904088167347799693151419175876143137429018229901693591667313034192420220953371118503668652667293588647798603863029236290989138529658385723461456289945827503299187791748631291347407710562023374848) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 456392283954443830110429964203086950060499037950452037187771290183563812832622128649583609679187714579896949216415289028430721497739853361034491275824704149126575899878508595778574996685308780418687143578950222523043199850680653182742298624) (+.f64 x (-.f64 1 (*.f64 z y))) (*.f64 (sin.f64 y) (neg.f64 z)))))))
(if (<=.f64 y -6047744548367769/8589934592) (+.f64 (cos.f64 y) x) (if (<=.f64 y 7203066171637159/73786976294838206464) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -6047744548367769/8589934592) (+.f64 x (cos.f64 y)) (if (<=.f64 y 7203066171637159/73786976294838206464) (-.f64 x (+.f64 (*.f64 z y) -1)) (+.f64 x (cos.f64 y))))
(if (<=.f64 y -6047744548367769/8589934592) (+.f64 x (cos.f64 y)) (if (<=.f64 y 7203066171637159/73786976294838206464) (+.f64 x (-.f64 1 (*.f64 z y))) (+.f64 x (cos.f64 y))))
(if (<=.f64 y -6047744548367769/8589934592) (-.f64 x -1) (if (<=.f64 y 210291621953303912051455409396368654733149135805245307403469078921216) (-.f64 x (-.f64 (*.f64 y z) 1)) (if (<=.f64 y 92124891195854996505710170217588948462905317661279166194926961120150444327638443249946274562048) (cos.f64 y) (if (<=.f64 y 172156039610560012944112206382950245300416471242226305671246278791858557588517869708197629305323927593911387286534403303720043237088947400211599196160) (-.f64 x -1) (if (<=.f64 y 29132438513657273026766571336040653180866411889517154853784970054850755260511342208746893262150441253953003432810804573860325065148737312664865613413344010803380305212303264450962094335697615318863554565119962370480746601725401497600) (cos.f64 y) (-.f64 x -1))))))
(if (<=.f64 y -6047744548367769/8589934592) (-.f64 x -1) (if (<=.f64 y 210291621953303912051455409396368654733149135805245307403469078921216) (-.f64 x (+.f64 (*.f64 z y) -1)) (if (<=.f64 y 92124891195854996505710170217588948462905317661279166194926961120150444327638443249946274562048) (cos.f64 y) (if (<=.f64 y 172156039610560012944112206382950245300416471242226305671246278791858557588517869708197629305323927593911387286534403303720043237088947400211599196160) (-.f64 x -1) (if (<=.f64 y 29132438513657273026766571336040653180866411889517154853784970054850755260511342208746893262150441253953003432810804573860325065148737312664865613413344010803380305212303264450962094335697615318863554565119962370480746601725401497600) (cos.f64 y) (-.f64 x -1))))))
(if (<=.f64 y -6047744548367769/8589934592) (-.f64 x -1) (if (<=.f64 y 210291621953303912051455409396368654733149135805245307403469078921216) (+.f64 x (-.f64 1 (*.f64 z y))) (if (<=.f64 y 92124891195854996505710170217588948462905317661279166194926961120150444327638443249946274562048) (cos.f64 y) (if (<=.f64 y 172156039610560012944112206382950245300416471242226305671246278791858557588517869708197629305323927593911387286534403303720043237088947400211599196160) (-.f64 x -1) (if (<=.f64 y 29132438513657273026766571336040653180866411889517154853784970054850755260511342208746893262150441253953003432810804573860325065148737312664865613413344010803380305212303264450962094335697615318863554565119962370480746601725401497600) (cos.f64 y) (-.f64 x -1))))))
(if (<=.f64 y -6047744548367769/8589934592) (-.f64 x -1) (if (<=.f64 y 7203066171637159/73786976294838206464) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1)))
(if (<=.f64 y -6047744548367769/8589934592) (-.f64 x -1) (if (<=.f64 y 7203066171637159/73786976294838206464) (-.f64 x (+.f64 (*.f64 z y) -1)) (-.f64 x -1)))
(if (<=.f64 y -6047744548367769/8589934592) (-.f64 x -1) (if (<=.f64 y 7203066171637159/73786976294838206464) (+.f64 x (-.f64 1 (*.f64 z y))) (-.f64 x -1)))
(if (<=.f64 z -242427101732437852990550060006843005743128274394319572949141532548548466061172587927900003513595374145613144942138834683994667143832225332592640) (-.f64 x (*.f64 y z)) (if (<=.f64 z 701010767155554405565721094095669294542033013857183482954428829654150808465485274899117256936592987149382981813655067057253383568118795014649240835669546226730588233356728067135468298644801876267451995234895626366072280991815442092638192782694942461390749696) (-.f64 x -1) (-.f64 x (*.f64 y z))))
(if (<=.f64 z -242427101732437852990550060006843005743128274394319572949141532548548466061172587927900003513595374145613144942138834683994667143832225332592640) (-.f64 x (*.f64 z y)) (if (<=.f64 z 701010767155554405565721094095669294542033013857183482954428829654150808465485274899117256936592987149382981813655067057253383568118795014649240835669546226730588233356728067135468298644801876267451995234895626366072280991815442092638192782694942461390749696) (-.f64 x -1) (-.f64 x (*.f64 z y))))
(if (<=.f64 z -64653627596524511591863522750205513326736050917981144278440809737738164910218625323852552587460687891182237179655522907913550278435523658605381292282424552343819190613487069990869579262328832) (*.f64 y (neg.f64 z)) (if (<=.f64 z 701010767155554405565721094095669294542033013857183482954428829654150808465485274899117256936592987149382981813655067057253383568118795014649240835669546226730588233356728067135468298644801876267451995234895626366072280991815442092638192782694942461390749696) (-.f64 x -1) (*.f64 y (neg.f64 z))))
(if (<=.f64 z -64653627596524511591863522750205513326736050917981144278440809737738164910218625323852552587460687891182237179655522907913550278435523658605381292282424552343819190613487069990869579262328832) (*.f64 z (neg.f64 y)) (if (<=.f64 z 701010767155554405565721094095669294542033013857183482954428829654150808465485274899117256936592987149382981813655067057253383568118795014649240835669546226730588233356728067135468298644801876267451995234895626366072280991815442092638192782694942461390749696) (-.f64 x -1) (*.f64 z (neg.f64 y))))
(-.f64 x -1)
(if (<=.f64 x -8445464862457511/268435456) x (if (<=.f64 x 4111585583787223/1208925819614629174706176) 1 x))
1
Compiler

Compiled 300 to 180 computations (40% saved)

soundness48.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11814
23814
36714
411814
518314
632214
753214
868314
984814
1095214
1196214
Stop Event
1×saturated
Compiler

Compiled 100 to 68 computations (32% saved)

end113.0ms (0.9%)

Compiler

Compiled 264 to 124 computations (53% saved)

Profiling

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