Details

Time bar (total: 8.4s)

analyze226.0ms (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)

sample1.7s (20.7%)

Results
972.0ms6258×body256valid
569.0ms1334×body1024valid
188.0ms660×body512valid
5.0ms4×body2048valid

preprocess78.0ms (0.9%)

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)

simplify29.0ms (0.3%)

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
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
▶0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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)

series11.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
5.0ms
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
z
@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)))

rewrite64.0ms (0.8%)

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
0925
119121
2257221
Stop Event
1×node limit
Counts
2 → 60
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))))
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))))))))

simplify74.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
866×cancel-sign-sub-inv_binary64
807×fma-def_binary64
680×fma-neg_binary64
375×sub-neg_binary64
331×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048708
1141702
2342694
3967683
43346683
57384683
Stop Event
1×node limit
Counts
120 → 87
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)))
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 (fma.f64 y 1/2 z) -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 (*.f64 y 1/2) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) -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 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) 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 (*.f64 y y) -1/2 x) (fma.f64 y z -1))
(-.f64 x (fma.f64 y (fma.f64 y 1/2 z) -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 (*.f64 y y) -1/2 x) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) -1))
(-.f64 x (fma.f64 y (*.f64 y 1/2) (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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.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 (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (cos.f64 y) (-.f64 (*.f64 z (sin.f64 y)) x))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series7.0ms (0.1%)

Counts
2 → 40
Calls

15 calls:

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

rewrite150.0ms (1.8%)

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
0920
120220
2301220
Stop Event
1×node limit
Counts
2 → 157
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (sin.f64 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 3) 1/3))))))
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simplify67.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
653×distribute-rgt-neg-in_binary64
652×cancel-sign-sub-inv_binary64
566×distribute-lft-neg-in_binary64
409×unswap-sqr_binary64
392×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053536
1154530
2405519
31222512
43045509
55822509
Stop Event
1×node limit
Counts
197 → 181
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 (*.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 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (*.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (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 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (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 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(+.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 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 (fma.f64 -1/2 (*.f64 y y) x) (-.f64 1 (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 y (*.f64 y -1/2) x) (*.f64 y z)))
(-.f64 (fma.f64 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 (+.f64 1 (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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(+.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(+.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(+.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 (fma.f64 (neg.f64 z) (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))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(+.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(+.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 (fma.f64 (neg.f64 z) (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))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(+.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(+.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 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))

eval60.0ms (0.7%)

Compiler

Compiled 4462 to 1176 computations (73.6% saved)

prune86.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New25414268
Fresh000
Picked101
Done101
Total25614270
Error
0.0b
Counts
270 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
▶26.0b
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
▶45.0b
(*.f64 (sin.f64 y) (neg.f64 z))
19.4b
(-.f64 x (*.f64 z (sin.f64 y)))
▶0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
24.0b
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
26.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶33.8b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
1.6b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
24.0b
(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))))
22.3b
(-.f64 x (-.f64 (*.f64 y z) 1))
▶23.4b
(-.f64 x -1)
37.1b
x
17.9b
(+.f64 (cos.f64 y) x)
Compiler

Compiled 346 to 219 computations (36.7% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 25 to 8 computations (68% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite80.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
940×pow1_binary64
867×add-log-exp_binary64
866×log1p-expm1-u_binary64
866×expm1-log1p-u_binary64
847×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0914
119012
2255512
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 y) z) 1) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))))

simplify61.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
622×distribute-rgt-neg-in_binary64
614×cancel-sign-sub-inv_binary64
546×distribute-lft-neg-in_binary64
540×fma-def_binary64
324×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034487
193457
2235457
3680449
42333449
55024449
Stop Event
1×node limit
Counts
59 → 39
Calls
Call 1
Inputs
(+.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 -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 (*.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 (*.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 (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 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.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))
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))
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))
Outputs
(+.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 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z)))
(+.f64 (fma.f64 -1/2 (*.f64 y y) x) (-.f64 1 (*.f64 y z)))
(+.f64 x (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 (*.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 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (*.f64 y z)))
(+.f64 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y y) x)) (-.f64 1 (*.f64 y z)))
(+.f64 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) x) (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) (+.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (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))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (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))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (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))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))

localize28.0ms (0.3%)

Compiler

Compiled 8 to 6 computations (25% 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))
1.0ms
y
@inf
(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms
y
@-inf
(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms
z
@0
(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms
z
@inf
(*.f64 (sin.f64 y) (neg.f64 z))

rewrite158.0ms (1.9%)

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)))))))

simplify93.0ms (1.1%)

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)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 7 computations (61.1% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
1.0ms
z
@0
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
0.0ms
y
@-inf
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
0.0ms
y
@0
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
0.0ms
z
@inf
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))

rewrite148.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
597×pow1_binary64
546×add-log-exp_binary64
545×log1p-expm1-u_binary64
545×expm1-log1p-u_binary64
533×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11409
217159
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (neg.f64 z) (sin.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 1 (fma.f64 z (sin.f64 y) (cos.f64 y))) 1)))) (#(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))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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)) (-.f64 (*.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 (pow.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) 3) 1/3)))) (#(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 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 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))))))))

simplify93.0ms (1.1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
027277
169256
2169250
3502246
41680246
53792246
66297246
77549246
Stop Event
1×node limit
Counts
45 → 33
Calls
Call 1
Inputs
(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))
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)))))
(+.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 (*.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 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
Outputs
(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 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 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 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 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 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 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 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 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 z (neg.f64 (sin.f64 y)) (cos.f64 y))
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.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 (-.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 z (*.f64 1/6 (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 y (-.f64 (*.f64 y -1/2) z) (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) 1))
(fma.f64 y (*.f64 y -1/2) (fma.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)) 1))
(+.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 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 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 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 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 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 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 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 z (neg.f64 (sin.f64 y)) (cos.f64 y))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 39 to 10 computations (74.4% saved)

series10.0ms (0.1%)

Counts
3 → 53
Calls

18 calls:

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

rewrite67.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
571×prod-diff_binary64
518×log-prod_binary64
345×pow-prod-down_binary64
282×pow2_binary64
243×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01138
123227
2309525
Stop Event
1×node limit
Counts
3 → 79
Calls
Call 1
Inputs
(*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(sqrt.f64 (sin.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (*.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (sin.f64 y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 (sin.f64 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (sin.f64 y)) 1) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (sin.f64 y) (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2) (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x (cos.f64 y))) (exp.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))) (exp.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 z (sin.f64 y))) (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (sin.f64 y) x) (cos.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/4) (pow.f64 (sin.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) 1))))))

simplify88.0ms (1%)

Algorithm
1×egg-herbie
Rules
281×fma-def_binary64
204×fma-neg_binary64
79×cancel-sign-sub-inv_binary64
47×sub-neg_binary64
40×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017630
135603
269603
3109603
4145603
5230603
6402603
7557603
8714603
9954603
101085603
111129603
121136603
Stop Event
1×saturated
Counts
132 → 91
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (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 (*.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 (*.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 (*.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))) (cos.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))
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))
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))
Outputs
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 -1 (*.f64 z (sqrt.f64 (sin.f64 y))))
(neg.f64 (*.f64 z (sqrt.f64 (sin.f64 y))))
(*.f64 z (neg.f64 (sqrt.f64 (sin.f64 y))))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
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(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
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(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (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 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
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(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
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(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (fma.f64 -1 (*.f64 z (sin.f64 y)) (cos.f64 y)) x)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))

eval52.0ms (0.6%)

Compiler

Compiled 2809 to 799 computations (71.6% saved)

prune89.0ms (1.1%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New2067213
Fresh279
Picked011
Done044
Total20819227
Error
0.0b
Counts
227 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.0b
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
✓26.0b
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
▶57.4b
(*.f64 y (neg.f64 z))
48.6b
1
1.6b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
24.0b
(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))))
▶17.9b
(+.f64 (cos.f64 y) x)
43.4b
(cos.f64 y)
✓23.4b
(-.f64 x -1)
✓45.0b
(*.f64 (sin.f64 y) (neg.f64 z))
19.4b
(-.f64 x (*.f64 z (sin.f64 y)))
34.3b
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
37.1b
x
✓0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
24.0b
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
▶26.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
44.1b
(-.f64 1 (*.f64 y z))
✓33.8b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
▶22.3b
(-.f64 x (-.f64 (*.f64 y z) 1))
Compiler

Compiled 377 to 245 computations (35% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
✓0.4b
(cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓0.5b
(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)

series55.0ms (0.7%)

Counts
3 → 56
Calls

24 calls:

TimeVariablePointExpression
10.0ms
y
@0
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
7.0ms
z
@0
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
6.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
5.0ms
y
@-inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
5.0ms
y
@inf
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)

rewrite278.0ms (3.3%)

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
01241
126941
2345441
Stop Event
1×node limit
Counts
3 → 206
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)))))
(-.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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y))))))

simplify360.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
543×unswap-sqr_binary64
460×times-frac_binary64
410×associate-*r*_binary64
373×+-commutative_binary64
345×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02913764
110493615
240343430
358003419
Stop Event
1×node limit
Counts
262 → 268
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)))))))
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
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.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))))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4) 1/18)) x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.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 (*.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 (*.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)) (*.f64 -1/9 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (*.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 (cos.f64 y) (-.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4) 1/18)) (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 1/18) (pow.f64 (/.f64 1 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 1/18)) 1/9)) x))) (*.f64 z (sin.f64 y))))
(+.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))))
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(+.f64 (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 (*.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 (*.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)) (*.f64 -1/9 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (*.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)) (fma.f64 (fma.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) -5/27) (/.f64 -2/27 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 1/3 (*.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)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) 1/18)))) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) -5/27) -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) -2/27)))) (pow.f64 x 3) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
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(+.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4) 1/18)) (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 1/18) (pow.f64 (/.f64 1 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) 1/18)) 1/9)) x))) (fma.f64 (fma.f64 (cbrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 2))) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) -5/27)) (/.f64 -2/27 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 4)) 1/18)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 2)) 1/18)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 2))) -2/27 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 2))) -5/27) -1/3)))) (pow.f64 x 3) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))
(*.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)) (neg.f64 z)) (+.f64 1 x))
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(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 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 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18) z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18) z))) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (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)) (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 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (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)) (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 2/9 (*.f64 (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 (pow.f64 (sin.f64 y) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18) z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 7)) 1/18) z))) (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 (*.f64 (*.f64 z (sin.f64 y)) (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))) (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 z (*.f64 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 (*.f64 (*.f64 z (sin.f64 y)) (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))) (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 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (fma.f64 -1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2))) (*.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 2))) 5/27)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (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))) (cbrt.f64 (+.f64 (cos.f64 y) x))))
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(fma.f64 (neg.f64 y) z 1)
(-.f64 1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (*.f64 (*.f64 y y) -1/2)))
(+.f64 1 (fma.f64 (neg.f64 y) z (*.f64 (*.f64 y y) -1/2)))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(+.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 (*.f64 y y) -1/2 (*.f64 z (*.f64 (pow.f64 y 3) 1/6))) (*.f64 y z)))
(+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) (+.f64 1 (*.f64 z (*.f64 (pow.f64 y 3) 1/6))))
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (*.f64 z (-.f64 (*.f64 (pow.f64 y 3) 1/6) y))))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (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 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (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 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))

localize12.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (-.f64 (*.f64 y z) 1))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
985×pow1_binary64
916×add-log-exp_binary64
915×log1p-expm1-u_binary64
915×expm1-log1p-u_binary64
93×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11778
224858
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 x (-.f64 (*.f64 y z) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 y z -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 y z -1)) (fma.f64 (neg.f64 (fma.f64 y z -1)) 1 (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 y z -1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y z -1))) (pow.f64 (cbrt.f64 (fma.f64 y z -1)) 2) (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 y z -1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y z -1))) (sqrt.f64 (fma.f64 y z -1)) (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 y z -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x (*.f64 y z)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (fma.f64 y z -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (fma.f64 y z -1))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y z -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y z -1))) 2) (cbrt.f64 (-.f64 x (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (fma.f64 y z -1))) (sqrt.f64 (-.f64 x (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z -1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 y z -1) (+.f64 x (fma.f64 y z -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y z -1) 2)) (/.f64 1 (+.f64 x (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 y z -1))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 y z -1) (+.f64 x (fma.f64 y z -1)))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 y z -1)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y z -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z -1) 3)) (fma.f64 x x (*.f64 (fma.f64 y z -1) (+.f64 x (fma.f64 y z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y z -1) 2)) (+.f64 x (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y z -1) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 y z -1) (+.f64 x (fma.f64 y z -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 y z -1) 2))) (neg.f64 (+.f64 x (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (fma.f64 y z -1)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (fma.f64 y z -1)) (neg.f64 (fma.f64 y z -1))) (*.f64 x (neg.f64 (fma.f64 y z -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1) (+.f64 (*.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z))) (-.f64 1 (*.f64 (-.f64 x (*.f64 y z)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (fma.f64 y z -1)) (neg.f64 (fma.f64 y z -1)))) (-.f64 x (neg.f64 (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 x (*.f64 y z)) (-.f64 x (*.f64 y z))) 1) (-.f64 (-.f64 x (*.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 y z -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 y z -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y z -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 y z -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 y z -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 y z -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 y z -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 y z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 y z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 y z -1)))))))

simplify44.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
180×fma-def_binary64
149×fma-neg_binary64
58×cancel-sign-sub-inv_binary64
37×sub-neg_binary64
28×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
013311
135311
259311
3101257
4138257
5232257
6372257
7487257
8620257
9749257
10764257
Stop Event
1×saturated
Counts
77 → 50
Calls
Call 1
Inputs
(-.f64 1 (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
Outputs
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (fma.f64 z (neg.f64 y) x))
(-.f64 x (fma.f64 y z -1))

localize12.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
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)

eval387.0ms (4.6%)

Compiler

Compiled 11974 to 5336 computations (55.4% saved)

prune130.0ms (1.5%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New4785483
Fresh279
Picked011
Done279
Total48220502
Error
0.0b
Counts
502 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓26.0b
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
✓57.4b
(*.f64 y (neg.f64 z))
24.0b
(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))))
✓17.9b
(+.f64 (cos.f64 y) x)
▶20.2b
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
✓22.3b
(-.f64 x (-.f64 (*.f64 y z) 1))
▶43.4b
(cos.f64 y)
✓23.4b
(-.f64 x -1)
48.6b
1
✓45.0b
(*.f64 (sin.f64 y) (neg.f64 z))
19.4b
(-.f64 x (*.f64 z (sin.f64 y)))
34.3b
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
37.1b
x
✓0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
44.6b
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
38.3b
(-.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
✓26.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶44.1b
(-.f64 1 (*.f64 y z))
▶1.6b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
▶45.2b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (cos.f64 y))
Compiler

Compiled 372 to 243 computations (34.7% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
✓0.2b
(pow.f64 (sin.f64 y) 2)
✓0.6b
(cbrt.f64 (sin.f64 y))
✓17.0b
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
Compiler

Compiled 53 to 23 computations (56.6% saved)

series66.0ms (0.8%)

Counts
4 → 40
Calls

15 calls:

TimeVariablePointExpression
51.0ms
z
@0
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
2.0ms
y
@inf
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
2.0ms
y
@-inf
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
2.0ms
y
@inf
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
2.0ms
y
@-inf
(cbrt.f64 (pow.f64 (sin.f64 y) 2))

rewrite64.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
746×pow1_binary64
688×add-log-exp_binary64
687×log1p-expm1-u_binary64
687×expm1-log1p-u_binary64
670×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
120130
2232030
Stop Event
1×node limit
Counts
4 → 78
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 2)
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (*.f64 (pow.f64 (sin.f64 y) 1/6) (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 1/6) (pow.f64 (sin.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (pow.f64 (sin.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)) (cbrt.f64 (sin.f64 y))) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 y y)) (cos.f64 (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) z)))))))

simplify96.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
715×distribute-rgt-out_binary64
449×unswap-sqr_binary64
393×sqr-pow_binary64
387×associate-*l*_binary64
381×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034424
184422
2185422
3499422
42163422
54748422
65252422
75901422
86948422
Stop Event
1×node limit
Counts
118 → 90
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 (sin.f64 y) 1/3)
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
Outputs
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 (sin.f64 y) 1/3)
(cbrt.f64 (sin.f64 y))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(fma.f64 -1/3 (pow.f64 y 4) (*.f64 y y))
(fma.f64 y y (*.f64 -1/3 (pow.f64 y 4)))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 y y (*.f64 2/45 (pow.f64 y 6))))
(fma.f64 y y (fma.f64 -1/3 (pow.f64 y 4) (*.f64 2/45 (pow.f64 y 6))))
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (+.f64 (*.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(fma.f64 -1/3 (pow.f64 y 4) (+.f64 (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)) (*.f64 -1/315 (pow.f64 y 8))))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (fma.f64 y y (*.f64 -1/315 (pow.f64 y 8)))))
(fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (fma.f64 -1/315 (pow.f64 y 8) (*.f64 y y))))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 y 4) -1/315 -1/3) (fma.f64 2/45 (pow.f64 y 6) (*.f64 y y)))
(fma.f64 y y (fma.f64 -1/3 (pow.f64 y 4) (fma.f64 2/45 (pow.f64 y 6) (*.f64 -1/315 (pow.f64 y 8)))))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) 1/3) z))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) z))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (neg.f64 z))

localize5.0ms (0.1%)

Compiler

Compiled 14 to 7 computations (50% saved)

localize4.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize47.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
0.1b
(*.f64 (sin.f64 y) (neg.f64 z))
✓0.5b
(cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))
✓0.6b
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
Compiler

Compiled 41 to 11 computations (73.2% saved)

series34.0ms (0.4%)

Counts
3 → 76
Calls

27 calls:

TimeVariablePointExpression
13.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
3.0ms
y
@0
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
3.0ms
y
@-inf
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
3.0ms
z
@0
(cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))
3.0ms
z
@0
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)

rewrite196.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
969×pow1_binary64
904×add-log-exp_binary64
903×log1p-expm1-u_binary64
903×expm1-log1p-u_binary64
112×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01135
123923
2292523
Stop Event
1×node limit
Counts
3 → 122
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
(cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
Outputs
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/.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2) (fma.f64 (sin.f64 y) z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (-.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2) (*.f64 (*.f64 x z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2) (*.f64 (*.f64 x z) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2)) (neg.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (-.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2) (*.f64 (*.f64 x z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 z) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (sin.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (sin.f64 y) z))))) (#(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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (sqrt.f64 (*.f64 (sin.f64 y) z)) x)))))

simplify122.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
625×distribute-rgt-in_binary64
623×distribute-lft-in_binary64
435×associate-*r*_binary64
351×associate-*l*_binary64
339×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02903377
110322849
238972734
Stop Event
1×node limit
Counts
198 → 135
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 z (sin.f64 y))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))))) (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))))
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) x))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 z 3) x))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (*.f64 1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))))))))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))))))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2)))))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x))
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))))))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y)))))))
(+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (sin.f64 y) 2))))) (pow.f64 z 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (sin.f64 y))))) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3)))))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (sin.f64 y) 3) x))))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3))))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 7) (pow.f64 (sin.f64 y) 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)))))))
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z)))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))) (+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 y z))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (-.f64 (*.f64 1/6 z) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 z 3))))) (pow.f64 y 3)))))))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x) 1/3)
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3))))))))))
(*.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 (*.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 (*.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 (*.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)
Outputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y))))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))
(fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x))
(-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9))))) (*.f64 x x) (fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x)))
(fma.f64 (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/9)) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) x) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 z (sin.f64 y))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (*.f64 z (sin.f64 y))) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 z (sin.f64 y))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))) (cbrt.f64 -1)))))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/3))))))) (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))))
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (sin.f64 y)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9))))) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (*.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (cbrt.f64 -1)) (fma.f64 2/27 (/.f64 (/.f64 1 z) (sin.f64 y)) (*.f64 -1/3 (/.f64 (*.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 (/.f64 (/.f64 1 z) (sin.f64 y)))) (cbrt.f64 -1)))))) (+.f64 (*.f64 -2/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 -1/3 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (*.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 z z)) (pow.f64 (sin.f64 y) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 x 3) (fma.f64 -1 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x))))
(fma.f64 (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (fma.f64 -1/3 (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))))) (/.f64 2/27 (*.f64 z (sin.f64 y)))))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -2/27 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))) (pow.f64 (cbrt.f64 -1) 2)) -5/27))))) (pow.f64 x 3) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x) (*.f64 z (sin.f64 y)))))
(fma.f64 (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z (sin.f64 y))) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 (cbrt.f64 -1) (+.f64 (/.f64 (/.f64 2/27 z) (sin.f64 y)) (*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 z (sin.f64 y)))) (cbrt.f64 -1)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (*.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) -2/3))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (*.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 (cbrt.f64 -1) 2)) -2/27 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sin.f64 y) 4)) (pow.f64 z 4)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 z) (*.f64 (pow.f64 (sin.f64 y) 2) z)) 1/18) (pow.f64 (/.f64 (/.f64 1 z) (*.f64 (pow.f64 (sin.f64 y) 2) z)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 z) (*.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 (cbrt.f64 -1) 2)) -5/27))))) (pow.f64 x 3) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (*.f64 (pow.f64 (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)) 1/18) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) x) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (*.f64 (pow.f64 1 1/3) x))
(fma.f64 (*.f64 (*.f64 z (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18))) -1) y x)
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) z))) y) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 z 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 z 2))))))))
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(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) (neg.f64 z)) (fma.f64 (*.f64 y y) (fma.f64 2/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (*.f64 (cbrt.f64 x) (*.f64 (*.f64 z z) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) -1/9))))) x))
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(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (*.f64 (pow.f64 z 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (sin.f64 y) 3))))))))))
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (fma.f64 -1/9 (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (+.f64 (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (sin.f64 y) 3))) (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (sin.f64 y) 3)))))))))
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 z (*.f64 (sin.f64 y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) (fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))) (*.f64 -1/3 (*.f64 (pow.f64 z 3) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (sin.f64 y) 3)) 5/27) (cbrt.f64 (/.f64 1 (*.f64 x x)))))))))
(+.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 z (sin.f64 y)))) (cbrt.f64 x)) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (sin.f64 y) 3)) 5/27)) (*.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))))
(*.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)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 z y) x)
(-.f64 x (*.f64 z y))
(+.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))
(+.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))
(+.f64 (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/120 (pow.f64 y 5)) (*.f64 (pow.f64 y 3) 1/6)))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 1 (fma.f64 -1 (*.f64 z (sin.f64 y)) x))
(fma.f64 (neg.f64 z) (sin.f64 y) x)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 32 to 9 computations (71.9% saved)

series2.0ms (0%)

Counts
1 → 21
Calls

6 calls:

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

rewrite51.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
774×pow1_binary64
710×add-log-exp_binary64
709×log1p-expm1-u_binary64
709×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0920
118211
2225611
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.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 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)))) (#(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 (*.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)) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))) (#(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)))))))))

simplify31.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
010224
119207
234207
347207
459207
590207
6149207
7195207
8253207
9340207
10390207
11396207
Stop Event
1×saturated
Counts
42 → 27
Calls
Call 1
Inputs
(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))
1
(+.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 (*.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 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
Outputs
(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))
(+.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))
(+.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))
(*.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))
(+.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))
(+.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))
(*.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))
(+.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))
(+.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))
1
(+.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))
(+.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))
(+.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))
(+.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))
(+.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))
(+.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))
(+.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))
(+.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))

eval150.0ms (1.8%)

Compiler

Compiled 8436 to 4492 computations (46.8% saved)

prune65.0ms (0.8%)

Pruning

21 alts after pruning (10 fresh and 11 done)

PrunedKeptTotal
New3438351
Fresh527
Picked011
Done21012
Total35021371
Error
0b
Counts
371 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
45.3b
(pow.f64 (cbrt.f64 (*.f64 -1 (*.f64 z (sin.f64 y)))) 3)
✓26.0b
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
✓57.4b
(*.f64 y (neg.f64 z))
5.8b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
✓26.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
45.5b
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)) (sqrt.f64 (sin.f64 y)) (cos.f64 y))
✓45.2b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (cos.f64 y))
37.1b
x
✓17.9b
(+.f64 (cos.f64 y) x)
✓43.4b
(cos.f64 y)
✓23.4b
(-.f64 x -1)
19.4b
(fma.f64 (neg.f64 z) (sin.f64 y) x)
44.6b
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
19.4b
(-.f64 x (*.f64 (sin.f64 y) z))
38.3b
(-.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
✓44.1b
(-.f64 1 (*.f64 y z))
✓1.6b
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
✓22.3b
(-.f64 x (-.f64 (*.f64 y z) 1))
✓45.0b
(*.f64 (sin.f64 y) (neg.f64 z))
3.3b
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
48.6b
1
Compiler

Compiled 229 to 167 computations (27.1% saved)

regimes94.0ms (1.1%)

Counts
36 → 1
Calls
Call 1
Inputs
x
1
1
1
x
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 -1 (*.f64 z (sin.f64 y)))) 3)
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))) 3)
(-.f64 (cos.f64 y) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 y)))))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)) (sqrt.f64 (sin.f64 y)) (cos.f64 y))
(fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (pow.f64 (sin.f64 y) 3) 1/6)) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 4)))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))
(fma.f64 (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))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
Calls

5 calls:

18.0ms
y
17.0ms
x
17.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms
z
15.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
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 341 to 124 computations (63.6% saved)

regimes52.0ms (0.6%)

Counts
22 → 1
Calls
Call 1
Inputs
x
1
1
1
x
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 -1 (*.f64 z (sin.f64 y)))) 3)
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

13.0ms
x
12.0ms
y
12.0ms
z
11.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 126 to 57 computations (54.8% saved)

regimes95.0ms (1.1%)

Counts
19 → 3
Calls
Call 1
Inputs
x
1
1
1
x
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
Calls

3 calls:

36.0ms
z
27.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
6.2b3y
4.1b3z
Compiler

Compiled 89 to 41 computations (53.9% saved)

bsearch110.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
55.0ms
5.4316683679789e-8
1189639.3908977848
54.0ms
-265.7059042176869
-33.7827754951074
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes119.0ms (1.4%)

Counts
18 → 3
Calls
Call 1
Inputs
x
1
1
1
x
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) x)
Outputs
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 (sin.f64 y) z))
Calls

3 calls:

52.0ms
x
36.0ms
z
26.0ms
y
Results
ErrorSegmentsBranch
10.7b5x
6.2b3y
4.1b3z
Compiler

Compiled 82 to 40 computations (51.2% saved)

bsearch132.0ms (1.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
31040007.704675548
4107690573.1902866
89.0ms
-1.9497315071920233e+46
-1.8546309916199915e+45
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes111.0ms (1.3%)

Counts
17 → 3
Calls
Call 1
Inputs
x
1
1
1
x
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 (sin.f64 y) z))
(-.f64 x (*.f64 z (sin.f64 y)))
Outputs
(-.f64 x (*.f64 (sin.f64 y) z))
(+.f64 (cos.f64 y) x)
(-.f64 x (*.f64 (sin.f64 y) z))
Calls

3 calls:

47.0ms
x
33.0ms
z
27.0ms
y
Results
ErrorSegmentsBranch
10.7b5x
6.2b3y
4.2b3z
Compiler

Compiled 76 to 39 computations (48.7% saved)

bsearch92.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
31040007.704675548
4107690573.1902866
48.0ms
-1.9497315071920233e+46
-1.8546309916199915e+45
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes90.0ms (1.1%)

Counts
15 → 3
Calls
Call 1
Inputs
x
1
1
1
x
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
Calls

3 calls:

31.0ms
z
31.0ms
y
25.0ms
x
Results
ErrorSegmentsBranch
16.8b3x
11.6b4y
9.9b3z
Compiler

Compiled 64 to 35 computations (45.3% saved)

bsearch105.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
53.0ms
5.013519629117478e+156
9.328468920921802e+163
52.0ms
-1.2122258679160396e+192
-8.350495106165983e+190
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes70.0ms (0.8%)

Counts
14 → 3
Calls
Call 1
Inputs
x
1
1
1
x
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.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:

22.0ms
z
22.0ms
x
22.0ms
y
Results
ErrorSegmentsBranch
16.8b3x
12.8b3y
13.8b3z
Compiler

Compiled 59 to 33 computations (44.1% saved)

bsearch69.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
0.005942722395923747
79.86688634909905
36.0ms
-959.0349490808583
-4.690189031088517e-10
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes78.0ms (0.9%)

Counts
12 → 5
Calls
Call 1
Inputs
x
1
1
1
x
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(cos.f64 y)
Outputs
(-.f64 x -1)
(cos.f64 y)
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(cos.f64 y)
(-.f64 x -1)
Calls

3 calls:

34.0ms
x
22.0ms
y
20.0ms
z
Results
ErrorSegmentsBranch
17.1b5x
18.3b3y
19.3b3z
Compiler

Compiled 51 to 32 computations (37.3% saved)

bsearch218.0ms (2.6%)

Algorithm
4×binary-search
Steps
TimeLeftRight
54.0ms
5.4316683679789e-8
1189639.3908977848
55.0ms
6.142943179884381e-160
3.170724592141651e-157
54.0ms
9.332974612922434e-284
8.773218575327556e-278
54.0ms
-0.004117797940046108
-4.976032310892211e-11
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes64.0ms (0.8%)

Counts
11 → 3
Calls
Call 1
Inputs
x
1
1
1
x
x
(-.f64 x -1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(-.f64 x (-.f64 (*.f64 y z) 1))
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
Outputs
(-.f64 x -1)
(-.f64 x (-.f64 (*.f64 y z) 1))
(-.f64 x -1)
Calls

3 calls:

22.0ms
y
19.0ms
x
19.0ms
z
Results
ErrorSegmentsBranch
19.4b3x
18.3b3y
19.3b3z
Compiler

Compiled 49 to 31 computations (36.7% saved)

bsearch92.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
4.601561285580659e+89
1.4494110507625553e+91
36.0ms
-1.2344750053823221e+23
-14895841067666122.0
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes87.0ms (1%)

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

3 calls:

37.0ms
x
34.0ms
z
13.0ms
y
Results
ErrorSegmentsBranch
20.1b3x
23.4b1y
22.3b3z
Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch186.0ms (2.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
103.0ms
1189639.3908977848
2665025.41464906
83.0ms
-5.021443259394436e+24
-55116065155372400.0
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes41.0ms (0.5%)

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

3 calls:

15.0ms
x
11.0ms
z
11.0ms
y
Results
ErrorSegmentsBranch
23.4b1x
23.4b1y
23.4b1z
Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes124.0ms (1.5%)

Accuracy

Total -38.4b remaining (-162%)

Threshold costs -38.4b (-162%)

Counts
6 → 3
Calls
Call 1
Inputs
x
1
1
1
x
x
Outputs
x
1
x
Calls

3 calls:

74.0ms
y
32.0ms
z
15.0ms
x
Results
ErrorSegmentsBranch
23.7b3x
34.8b5y
35.8b3z
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch241.0ms (2.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
65.0ms
1.0265571596315616e-20
5.4316683679789e-8
175.0ms
-33.7827754951074
-0.09507664527940475
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify22.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
14×sub-neg_binary64
11×*-commutative_binary64
7×cancel-sign-sub-inv_binary64
6×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083334
1121334
2149334
3160334
4165334
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -2337173850048663/8796093022208) (-.f64 x (*.f64 (sin.f64 y) z)) (if (<=.f64 x 1026013145880273/18889465931478580854784) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x)))
(if (<=.f64 z -19497315071920233130672894606611315209139126272) (fma.f64 (neg.f64 z) (sin.f64 y) x) (if (<=.f64 z 4166119311224047/134217728) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 z -19497315071920233130672894606611315209139126272) (-.f64 x (*.f64 (sin.f64 y) z)) (if (<=.f64 z 4166119311224047/134217728) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 z -1212225867916039582314365993949068528338804774986818380329575161127128051907060550596931955002997417181168787726677134816394252485588615037180417961866587606668523047344925070328157367672242176) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 5013519629117478127889544985028832907256996450131833947022297283302428550771307773554442024658136974787029732619490933568154000993853516919568128859355217920) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -4217880311831871/4398046511104) (+.f64 (cos.f64 y) x) (if (<=.f64 y 6851492446169213/1152921504606846976) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -2373748898352467/576460752303423488) (-.f64 x -1) (if (<=.f64 x 3906391651717699/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (cos.f64 y) (if (<=.f64 x 4861877129303275/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z))) (if (<=.f64 x 1026013145880273/18889465931478580854784) (cos.f64 y) (-.f64 x -1)))))
(if (<=.f64 y -123447500538232212291584) (-.f64 x -1) (if (<=.f64 y 460156128558065904280263262821129101510445619307872188251260637000020253710197623913185280) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1)))
(if (<=.f64 x -5021443259394435720413184) x (if (<=.f64 x 2554731138969673/2147483648) (-.f64 1 (*.f64 y z)) (-.f64 x -1)))
(-.f64 x -1)
(if (<=.f64 x -2377251486426669/70368744177664) x (if (<=.f64 x 6822642579278583/664613997892457936451903530140172288) 1 x))
x
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(if (<=.f64 x -2337173850048663/8796093022208) (-.f64 x (*.f64 (sin.f64 y) z)) (if (<=.f64 x 1026013145880273/18889465931478580854784) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) x)))
(if (<=.f64 x -2337173850048663/8796093022208) (-.f64 x (*.f64 (sin.f64 y) z)) (if (<=.f64 x 1026013145880273/18889465931478580854784) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) x)))
(if (<=.f64 z -19497315071920233130672894606611315209139126272) (fma.f64 (neg.f64 z) (sin.f64 y) x) (if (<=.f64 z 4166119311224047/134217728) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 z -19497315071920233130672894606611315209139126272) (fma.f64 (neg.f64 z) (sin.f64 y) x) (if (<=.f64 z 4166119311224047/134217728) (+.f64 x (cos.f64 y)) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 z -19497315071920233130672894606611315209139126272) (-.f64 x (*.f64 (sin.f64 y) z)) (if (<=.f64 z 4166119311224047/134217728) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 z -19497315071920233130672894606611315209139126272) (-.f64 x (*.f64 (sin.f64 y) z)) (if (<=.f64 z 4166119311224047/134217728) (+.f64 x (cos.f64 y)) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 z -1212225867916039582314365993949068528338804774986818380329575161127128051907060550596931955002997417181168787726677134816394252485588615037180417961866587606668523047344925070328157367672242176) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 5013519629117478127889544985028832907256996450131833947022297283302428550771307773554442024658136974787029732619490933568154000993853516919568128859355217920) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 z -1212225867916039582314365993949068528338804774986818380329575161127128051907060550596931955002997417181168787726677134816394252485588615037180417961866587606668523047344925070328157367672242176) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 5013519629117478127889544985028832907256996450131833947022297283302428550771307773554442024658136974787029732619490933568154000993853516919568128859355217920) (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -4217880311831871/4398046511104) (+.f64 (cos.f64 y) x) (if (<=.f64 y 6851492446169213/1152921504606846976) (-.f64 x (-.f64 (*.f64 y z) 1)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -4217880311831871/4398046511104) (+.f64 x (cos.f64 y)) (if (<=.f64 y 6851492446169213/1152921504606846976) (-.f64 x (+.f64 (*.f64 y z) -1)) (+.f64 x (cos.f64 y))))
(if (<=.f64 y -4217880311831871/4398046511104) (+.f64 x (cos.f64 y)) (if (<=.f64 y 6851492446169213/1152921504606846976) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 x (cos.f64 y))))
(if (<=.f64 x -2373748898352467/576460752303423488) (-.f64 x -1) (if (<=.f64 x 3906391651717699/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (cos.f64 y) (if (<=.f64 x 4861877129303275/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z))) (if (<=.f64 x 1026013145880273/18889465931478580854784) (cos.f64 y) (-.f64 x -1)))))
(if (<=.f64 x -2373748898352467/576460752303423488) (+.f64 x 1) (if (<=.f64 x 3906391651717699/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896) (cos.f64 y) (if (<=.f64 x 4861877129303275/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (if (<=.f64 x 1026013145880273/18889465931478580854784) (cos.f64 y) (+.f64 x 1)))))
(if (<=.f64 y -123447500538232212291584) (-.f64 x -1) (if (<=.f64 y 460156128558065904280263262821129101510445619307872188251260637000020253710197623913185280) (-.f64 x (-.f64 (*.f64 y z) 1)) (-.f64 x -1)))
(if (<=.f64 y -123447500538232212291584) (+.f64 x 1) (if (<=.f64 y 460156128558065904280263262821129101510445619307872188251260637000020253710197623913185280) (-.f64 x (+.f64 (*.f64 y z) -1)) (+.f64 x 1)))
(if (<=.f64 y -123447500538232212291584) (+.f64 x 1) (if (<=.f64 y 460156128558065904280263262821129101510445619307872188251260637000020253710197623913185280) (+.f64 x (-.f64 1 (*.f64 y z))) (+.f64 x 1)))
(if (<=.f64 x -5021443259394435720413184) x (if (<=.f64 x 2554731138969673/2147483648) (-.f64 1 (*.f64 y z)) (-.f64 x -1)))
(if (<=.f64 x -5021443259394435720413184) x (if (<=.f64 x 2554731138969673/2147483648) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(-.f64 x -1)
(+.f64 x 1)
(if (<=.f64 x -2377251486426669/70368744177664) x (if (<=.f64 x 6822642579278583/664613997892457936451903530140172288) 1 x))
x
Compiler

Compiled 265 to 166 computations (37.4% saved)

soundness0.0ms (0%)

end106.0ms (1.3%)

Compiler

Compiled 229 to 102 computations (55.5% saved)

Profiling

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