Details

Time bar (total: 10.0s)

analyze481.0ms (4.8%)

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

Compiled 13 to 9 computations (30.8% saved)

sample3.9s (38.7%)

Results
2.0s6201×body256valid
1.5s1366×body1024valid
353.0ms682×body512valid
9.0ms7×body2048valid

preprocess94.0ms (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)

simplify45.0ms (0.5%)

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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 27 to 8 computations (70.4% saved)

series19.0ms (0.2%)

Counts
4 → 68
Calls

24 calls:

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

rewrite123.0ms (1.2%)

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
0929
120229
2301229
Stop Event
1×node limit
Counts
4 → 238
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(+.f64 x (cos.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(cos.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))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (cos.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x (cos.f64 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 y) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z 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(*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 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(cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 1 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (sqrt.f64 (*.f64 (sin.f64 y) (neg.f64 z))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) 1 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (cbrt.f64 (*.f64 z (sin.f64 y))) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (sin.f64 y) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (pow.f64 (cos.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (cbrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 y)) 3) 1/3))))))

simplify169.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
677×associate-*l*_binary64
652×cancel-sign-sub-inv_binary64
512×associate-*r*_binary64
506×unswap-sqr_binary64
391×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
070753
1198745
2531730
31656723
44583720
Stop Event
1×node limit
Counts
306 → 274
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 -1/5040 (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)))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 x (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) 1)))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.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))))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.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 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 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z)))
(-.f64 (fma.f64 -1/2 (*.f64 y y) x) (fma.f64 y z -1))
(-.f64 x (fma.f64 y (+.f64 z (*.f64 y 1/2)) -1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (*.f64 (pow.f64 y 3) 1/6) z x)) (-.f64 1 (*.f64 y z)))
(+.f64 (fma.f64 z (*.f64 (pow.f64 y 3) 1/6) (fma.f64 -1/2 (*.f64 y y) x)) (-.f64 1 (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))))
(-.f64 (fma.f64 -1/2 (*.f64 y y) x) (fma.f64 z (fma.f64 -1/6 (pow.f64 y 3) y) -1))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) 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 (+.f64 (cos.f64 y) x) (*.f64 z (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 (+.f64 (cos.f64 y) x) (*.f64 z (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 (+.f64 (cos.f64 y) 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 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (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 (+.f64 (cos.f64 y) x) (*.f64 z (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 (+.f64 (cos.f64 y) 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 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (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 (+.f64 (cos.f64 y) x) (*.f64 z (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 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) 1)))

eval60.0ms (0.6%)

Compiler

Compiled 4686 to 1379 computations (70.6% saved)

prune51.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New26113274
Fresh000
Picked011
Done000
Total26114275
Error
0.0b
Counts
275 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶24.7b
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
▶24.5b
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
42.9b
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
▶0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
22.2b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
31.5b
(-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
0.3b
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
▶6.6b
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
▶26.4b
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
26.3b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
45.3b
(*.f64 (sin.f64 y) (neg.f64 z))
24.5b
(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))))
19.5b
(-.f64 x (*.f64 z (sin.f64 y)))
Compiler

Compiled 410 to 246 computations (40% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 y)
0.0b
(+.f64 x (cos.f64 y))
✓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)))
0.0ms
y
@-inf
(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
y
@0
(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)))

rewrite59.0ms (0.6%)

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)))))))))

simplify65.0ms (0.6%)

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)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 32 to 16 computations (50% saved)

series4.0ms (0%)

Counts
1 → 9
Calls

9 calls:

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

rewrite50.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
088
11677
222767
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 y z)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 y z) x)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) x)) 2) (cbrt.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 y z) x)) (sqrt.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (+.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (+.f64 (*.f64 y z) x))) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y z) x) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (+.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (+.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) z x)))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
38×fma-def_binary64
9×sub-neg_binary64
6×+-commutative_binary64
4×*-commutative_binary64
4×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0734
11234
22534
32934
43334
55134
67334
78434
89634
912134
Stop Event
1×saturated
Counts
46 → 40
Calls
Call 1
Inputs
x
(*.f64 -1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
x
(*.f64 -1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 -1 (*.f64 y z))
x
x
Outputs
x
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
x
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
x
x

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 11 computations (54.2% saved)

localize18.0ms (0.2%)

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))
✓2.2b
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
✓2.6b
(log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
Compiler

Compiled 51 to 10 computations (80.4% saved)

series70.0ms (0.7%)

Counts
3 → 88
Calls

24 calls:

TimeVariablePointExpression
28.0ms
y
@-inf
(log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
27.0ms
y
@inf
(log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
3.0ms
x
@inf
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
2.0ms
x
@0
(log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
1.0ms
z
@0
(log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))

rewrite100.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
558×log-prod_binary64
428×fma-def_binary64
382×pow-prod-down_binary64
306×pow2_binary64
220×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
122641
2315641
Stop Event
1×node limit
Counts
3 → 237
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
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simplify87.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
974×times-frac_binary64
760×fma-def_binary64
536×associate-/l*_binary64
485×associate-/r*_binary64
470×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01781995
15581918
218961864
Stop Event
1×node limit
Counts
325 → 318
Calls
Call 1
Inputs
(log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (+.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (cos.f64 y) x)) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (pow.f64 x 2))))) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) (pow.f64 x 3))) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (pow.f64 x 2)))))) (/.f64 (*.f64 z (sin.f64 y)) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 (cos.f64 y) x))) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (pow.f64 x 2)))))) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (pow.f64 x 2))))))) (/.f64 (*.f64 z (sin.f64 y)) x))
(log.f64 (+.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y z) (+.f64 1 x))) (log.f64 (+.f64 1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) (+.f64 1 x))) (log.f64 (+.f64 1 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y z) (+.f64 1 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 z (+.f64 1 x)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 1 x) 3))) (*.f64 -3 (/.f64 z (pow.f64 (+.f64 1 x) 2))))))) (log.f64 (+.f64 1 x)))))
(log.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(log.f64 (+.f64 (cos.f64 y) x))
(+.f64 (log.f64 (+.f64 (cos.f64 y) x)) (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))))
(+.f64 (log.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 (cos.f64 y) x) 2)))))
(+.f64 (log.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) x))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (+.f64 (cos.f64 y) x) 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (neg.f64 (sin.f64 y))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (log.f64 (neg.f64 (sin.f64 y)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y))) z)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.f64 y)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (log.f64 (neg.f64 (*.f64 -1 (sin.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 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))
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
(log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(log.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
(log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))
(+.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (log.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))
(+.f64 (log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (/.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))
(+.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 2)) (log.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))))
(+.f64 (log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2)) x) (/.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))
(+.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))) (+.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))))
(+.f64 (/.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2)) (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))))
(+.f64 (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 2)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) (log.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 x (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2)) x) (log.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))) (fma.f64 1/3 (pow.f64 (/.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))) 3) (/.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (cos.f64 y) x)) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (cos.f64 y) x)) (/.f64 z (/.f64 x (sin.f64 y))))
(+.f64 (log.f64 x) (-.f64 (/.f64 (cos.f64 y) x) (*.f64 (/.f64 z x) (sin.f64 y))))
(+.f64 (log.f64 x) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (pow.f64 x 2))))) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (cos.f64 y) x)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 x x)))) (/.f64 z (/.f64 x (sin.f64 y))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 2) (*.f64 x x)) (/.f64 (cos.f64 y) x)) (-.f64 (log.f64 x) (*.f64 (/.f64 z x) (sin.f64 y))))
(+.f64 (log.f64 x) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2) (*.f64 x x)) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) (pow.f64 x 3))) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (pow.f64 x 2)))))) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/3 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) (pow.f64 x 3)) (+.f64 (/.f64 (cos.f64 y) x) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 x x)))))) (/.f64 z (/.f64 x (sin.f64 y))))
(+.f64 (log.f64 x) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 2) (*.f64 x x)) (/.f64 (cos.f64 y) x))) (*.f64 (/.f64 z x) (sin.f64 y))))
(+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x) 3) (log.f64 x)) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) 2) (*.f64 x x)) (/.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 (cos.f64 y) x))) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (cos.f64 y) x) (log.f64 -1))) (/.f64 z (/.f64 x (sin.f64 y))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 (cos.f64 y) x) (*.f64 (/.f64 z x) (sin.f64 y))))
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(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 3) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))) (-.f64 (log.f64 (sin.f64 y)) (log.f64 (/.f64 -1 z))))) (/.f64 (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y))) z))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) 2) z) (*.f64 z (pow.f64 (sin.f64 y) 2))) (-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 y) x) (sin.f64 y)) 3) (pow.f64 z 3)) (log.f64 (sin.f64 y))) (log.f64 (/.f64 -1 z)))) (/.f64 (+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 x (sin.f64 y))) z))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(fma.f64 z (neg.f64 (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 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 x (fma.f64 z (neg.f64 y) 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) (fma.f64 (neg.f64 y) z 1))
(+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) (+.f64 x 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 1/6 (*.f64 z (pow.f64 y 3)) x)) (fma.f64 (neg.f64 y) z 1))
(+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) (+.f64 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) x) 1))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.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)
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 y y))))
(+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 (neg.f64 y) z 1))
(+.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 (fma.f64 (neg.f64 y) z 1) (fma.f64 -1/2 (*.f64 y y) (*.f64 z (*.f64 1/6 (pow.f64 y 3)))))
(+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) (fma.f64 (pow.f64 y 3) (*.f64 z 1/6) 1))
(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))
(fma.f64 z (neg.f64 (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))
(fma.f64 z (neg.f64 (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))
(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 z (neg.f64 (sin.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))
(fma.f64 z (neg.f64 (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))
(fma.f64 z (neg.f64 (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))
(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 z (neg.f64 (sin.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))
(fma.f64 z (neg.f64 (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))
(fma.f64 z (neg.f64 (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))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 53 to 12 computations (77.4% saved)

series18.0ms (0.2%)

Counts
2 → 40
Calls

18 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
2.0ms
x
@0
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
1.0ms
y
@0
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
1.0ms
z
@0
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)

rewrite81.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
578×log-prod_binary64
434×fma-def_binary64
399×pow-prod-down_binary64
324×pow2_binary64
222×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
126730
2340430
Stop Event
1×node limit
Counts
2 → 110
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x (fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> 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simplify72.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
579×distribute-rgt-in_binary64
390×associate-+l+_binary64
375×*-commutative_binary64
318×associate-+r+_binary64
309×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01501349
14851320
217251181
349321031
Stop Event
1×node limit
Counts
150 → 153
Calls
Call 1
Inputs
(-.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) (+.f64 x (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2))) (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2))) (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.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 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/6 z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) (+.f64 1 x))) (*.f64 -1 (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))))) 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) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x)))) (pow.f64 z 2)) x)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (+.f64 (cos.f64 y) x) 2)))) (pow.f64 z 3)) (+.f64 (cos.f64 y) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x))) (*.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (+.f64 (cos.f64 y) x)))) (pow.f64 z 2)) x))))
(sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 5))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) x)) (+.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 x 2))))))
(sqrt.f64 (+.f64 1 x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 2) (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/2 (/.f64 (*.f64 z (+.f64 1/2 (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) z)) 2))) (+.f64 1 x))))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))))
Outputs
(-.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 (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y))))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2))) (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x (*.f64 (+.f64 (/.f64 1/64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2)) (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) (pow.f64 x 4))) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 (fma.f64 (+.f64 (/.f64 1/64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) (-.f64 (/.f64 1/16 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) (+.f64 (/.f64 1/16 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)))) 2)))) (pow.f64 x 4) x) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) 5/64) (*.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) 5/64)) (pow.f64 x 4) x) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (fma.f64 (pow.f64 x 4) 0 x))
(-.f64 (+.f64 (cos.f64 y) (+.f64 x (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2))) (*.f64 1/16 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))))) (pow.f64 x 4)))) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 (+.f64 x (*.f64 (+.f64 (/.f64 1/64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) 2)) (/.f64 1/16 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)))) (pow.f64 x 4))) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 (fma.f64 (+.f64 (/.f64 1/64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) (-.f64 (/.f64 1/16 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) (+.f64 (/.f64 1/16 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) 3)))) 2)))) (pow.f64 x 4) x) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) 5/64) (*.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) 5/64)) (pow.f64 x 4) x) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (fma.f64 (pow.f64 x 4) 0 x))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(-.f64 x (fma.f64 y z -1))
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(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))))
(sqrt.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y))))
(sqrt.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
(sqrt.f64 (-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))
(sqrt.f64 (-.f64 x (fma.f64 z (sin.f64 y) (neg.f64 (cos.f64 y)))))
(sqrt.f64 (+.f64 (cos.f64 y) x))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (*.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))))))
(fma.f64 -1/2 (*.f64 z (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))))) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(fma.f64 -1/2 (*.f64 (sin.f64 y) (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))))) (sqrt.f64 (+.f64 (cos.f64 y) x)))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2))))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 (*.f64 z (sin.f64 y)) -1/2))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (*.f64 (sin.f64 y) (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))))))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x)))))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (fma.f64 -1/2 (*.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)))))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/16 (*.f64 (pow.f64 z 3) (*.f64 (pow.f64 (sin.f64 y) 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))) (*.f64 (*.f64 z (sin.f64 y)) -1/2)))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/16 (*.f64 (pow.f64 (sin.f64 y) 3) (*.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (*.f64 (sin.f64 y) (*.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x)))))))))
(+.f64 (sqrt.f64 (+.f64 (cos.f64 y) x)) (fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 5))) (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 y) x) 3))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))) (*.f64 (*.f64 z (sin.f64 y)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 y) x))))))))

eval237.0ms (2.4%)

Compiler

Compiled 16462 to 5920 computations (64% saved)

prune242.0ms (2.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New82912841
Fresh358
Picked101
Done505
Total83817855
Error
0.0b
Counts
855 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
▶23.9b
(+.f64 x 1)
24.7b
(-.f64 (+.f64 x 1) (*.f64 y z))
29.8b
(+.f64 1 (*.f64 (+.f64 (*.f64 y z) x) 1))
▶31.5b
(-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
24.5b
(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))))
▶6.8b
(-.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
19.5b
(-.f64 x (*.f64 z (sin.f64 y)))
17.4b
(+.f64 (cos.f64 y) x)
37.8b
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
38.5b
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
26.3b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
37.0b
x
▶19.5b
(fma.f64 (sin.f64 y) (neg.f64 z) x)
42.9b
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
45.3b
(*.f64 (sin.f64 y) (neg.f64 z))
45.1b
(+.f64 1 (*.f64 y (neg.f64 z)))
▶30.2b
(+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) (+.f64 x 1))
Compiler

Compiled 434 to 271 computations (37.6% saved)

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 z (sin.f64 y))
✓0.6b
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
✓7.9b
(cbrt.f64 (*.f64 z (sin.f64 y)))
Compiler

Compiled 40 to 17 computations (57.5% saved)

series15.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
638×pow1_binary64
596×add-log-exp_binary64
596×log1p-expm1-u_binary64
596×expm1-log1p-u_binary64
581×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116614
2166914
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) 1) (cbrt.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (pow.f64 (*.f64 z (sin.f64 y)) 1/6)) (pow.f64 (*.f64 z (sin.f64 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (sin.f64 y))))))))

simplify185.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1290×sqr-pow_binary64
676×cube-prod_binary64
666×pow-sqr_binary64
556×fabs-mul_binary64
373×unpow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010136
126112
240112
351112
475112
5161112
6525112
71190112
81282112
91420112
101583112
111822112
122149112
132576112
143081112
153688112
164411112
174734112
185018112
195242112
205418112
215498112
226441112
237418112
247884112
Stop Event
1×node limit
Counts
68 → 54
Calls
Call 1
Inputs
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
Outputs
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(pow.f64 (*.f64 z (sin.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 z (sin.f64 y)))
(*.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))

localize4.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (-.f64 (*.f64 -1/2 y) z))
Compiler

Compiled 37 to 23 computations (37.8% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
806×pow1_binary64
750×add-log-exp_binary64
750×log1p-expm1-u_binary64
750×expm1-log1p-u_binary64
735×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115210
2201210
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 y (-.f64 (*.f64 -1/2 y) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 -1/8 (pow.f64 y 3)) (pow.f64 z 3)) y) (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 z (fma.f64 y -1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 z z)) y) (fma.f64 y -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 -1/8 (pow.f64 y 3)) (pow.f64 z 3))) (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 z (fma.f64 y -1/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 z z))) (fma.f64 y -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 y -1/2) z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 y -1/2) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 y -1/2) z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))))

simplify107.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
942×fma-neg_binary64
877×fma-def_binary64
401×distribute-rgt-neg-in_binary64
313×cancel-sign-sub-inv_binary64
293×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
012273
125273
252219
3122219
4324219
51076219
62329219
74051219
85441219
96199177
106808177
117188177
Stop Event
1×node limit
Counts
43 → 26
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 -1/2 (*.f64 y y))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(*.f64 y z)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 z))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 6 computations (62.5% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite51.0ms (0.5%)

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
079
11407
217127
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 y) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sin.f64 y) z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z x)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z x)) (sqrt.f64 (fma.f64 (sin.f64 y) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sin.f64 y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z)) (*.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 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) 1/3)))) (#(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 (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 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)))))))

simplify76.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
825×distribute-rgt-neg-in_binary64
811×fma-def_binary64
704×distribute-lft-neg-in_binary64
596×unswap-sqr_binary64
547×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026342
174313
2196308
3505305
41513304
54258304
66533304
Stop Event
1×node limit
Counts
57 → 32
Calls
Call 1
Inputs
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)
(*.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)
Outputs
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(-.f64 x (*.f64 y z))
(fma.f64 y (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(fma.f64 -1 (*.f64 y z) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))
(-.f64 (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x) (*.f64 y z))
(fma.f64 z (fma.f64 -1 y (*.f64 1/6 (pow.f64 y 3))) x)
(fma.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(fma.f64 -1 (*.f64 y z) (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 y z))
(-.f64 (fma.f64 z (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) x) (*.f64 y z))
(fma.f64 z (fma.f64 -1 y (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) x)
(fma.f64 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))) x)
(fma.f64 z (-.f64 (fma.f64 -1/120 (pow.f64 y 5) (*.f64 1/6 (pow.f64 y 3))) y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))
✓0.3b
(expm1.f64 (+.f64 x (cos.f64 y)))
✓0.6b
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
Compiler

Compiled 40 to 10 computations (75% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(expm1.f64 (+.f64 x (cos.f64 y)))
1.0ms
x
@0
(expm1.f64 (+.f64 x (cos.f64 y)))
0.0ms
x
@0
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
0.0ms
y
@-inf
(expm1.f64 (+.f64 x (cos.f64 y)))
0.0ms
x
@inf
(expm1.f64 (+.f64 x (cos.f64 y)))

rewrite54.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
693×pow1_binary64
644×expm1-log1p-u_binary64
643×add-log-exp_binary64
643×log1p-expm1-u_binary64
628×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
113014
2171814
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y))))
(expm1.f64 (+.f64 x (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (*.f64 x x) (*.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2)) (-.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (cos.f64 y) 3))) (neg.f64 (fma.f64 x x (*.f64 (cos.f64 y) (-.f64 (cos.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) 2))) (neg.f64 (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 x x)) (-.f64 (cos.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (cos.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) x)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 x (cos.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (sqrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 x (cos.f64 y))) 3) 1) (+.f64 (*.f64 (exp.f64 (+.f64 x (cos.f64 y))) (exp.f64 (+.f64 x (cos.f64 y)))) (+.f64 1 (*.f64 (exp.f64 (+.f64 x (cos.f64 y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x (cos.f64 y))) (exp.f64 (+.f64 x (cos.f64 y)))) 1) (+.f64 (exp.f64 (+.f64 x (cos.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (+.f64 x (cos.f64 y)))))))))

simplify68.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
610×cancel-sign-sub-inv_binary64
381×fma-def_binary64
354×*-commutative_binary64
331×associate-+l+_binary64
269×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070520
1197493
2542460
32072444
44947444
Stop Event
1×node limit
Counts
100 → 81
Calls
Call 1
Inputs
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x))) 1)
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) x) (*.f64 1/6 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)))))) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (+.f64 1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (exp.f64 (+.f64 1 x))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x)))))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 (+.f64 1 x)))) (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x))))))) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
Outputs
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
x
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) x))
(+.f64 x (fma.f64 y (*.f64 y -1/2) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 y (*.f64 y -1/2) 1))
(+.f64 1 (fma.f64 y (*.f64 y -1/2) (fma.f64 1/24 (pow.f64 y 4) x)))
(+.f64 (*.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/24 (pow.f64 y 4)) x))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) x)) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 y (*.f64 y -1/2) 1)))
(+.f64 (fma.f64 1/24 (pow.f64 y 4) x) (fma.f64 -1/720 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/2) 1)))
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(+.f64 (cos.f64 y) x)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x)) 1)
(+.f64 (+.f64 (exp.f64 (cos.f64 y)) (*.f64 x (exp.f64 (cos.f64 y)))) -1)
(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (cos.f64 y))) -1)
(fma.f64 (+.f64 x 1) (exp.f64 (cos.f64 y)) -1)
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (*.f64 (exp.f64 (cos.f64 y)) x))) 1)
(+.f64 (fma.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (*.f64 x x)) (+.f64 (exp.f64 (cos.f64 y)) (*.f64 x (exp.f64 (cos.f64 y))))) -1)
(+.f64 (fma.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (*.f64 x x)) (*.f64 (+.f64 x 1) (exp.f64 (cos.f64 y)))) -1)
(+.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 (+.f64 x 1) (*.f64 1/2 (*.f64 x x)))) -1)
(fma.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (+.f64 x (*.f64 1/2 (*.f64 x x)))) -1)
(fma.f64 (exp.f64 (cos.f64 y)) (+.f64 1 (+.f64 x (*.f64 x (*.f64 x 1/2)))) -1)
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 2))) (+.f64 (exp.f64 (cos.f64 y)) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) x) (*.f64 1/6 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)))))) 1)
(+.f64 (fma.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (*.f64 x x)) (+.f64 (exp.f64 (cos.f64 y)) (fma.f64 (exp.f64 (cos.f64 y)) x (*.f64 1/6 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)))))) -1)
(fma.f64 1/2 (*.f64 (exp.f64 (cos.f64 y)) (*.f64 x x)) (+.f64 (fma.f64 1/6 (*.f64 (exp.f64 (cos.f64 y)) (pow.f64 x 3)) (*.f64 x (exp.f64 (cos.f64 y)))) (expm1.f64 (cos.f64 y))))
(+.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 (+.f64 x 1) (*.f64 1/2 (*.f64 x x)))) (fma.f64 (exp.f64 (cos.f64 y)) (*.f64 1/6 (pow.f64 x 3)) -1))
(+.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/6) 1/2)) (+.f64 x 1))) -1)
(+.f64 (*.f64 (exp.f64 (cos.f64 y)) (+.f64 (+.f64 x 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/6) 1/2)))) -1)
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 -1 x))) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 1 x)) 1)
(expm1.f64 (+.f64 x 1))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (exp.f64 (+.f64 1 x))) 1)
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 y y) (exp.f64 (+.f64 x 1)))) (expm1.f64 (+.f64 x 1)))
(+.f64 -1 (*.f64 (+.f64 1 (*.f64 y (*.f64 y -1/2))) (exp.f64 (+.f64 x 1))))
(fma.f64 (fma.f64 y (*.f64 y -1/2) 1) (exp.f64 (+.f64 x 1)) -1)
(fma.f64 (exp.f64 (+.f64 x 1)) (fma.f64 y (*.f64 y -1/2) 1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x)))))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (exp.f64 (+.f64 x 1))) (+.f64 (exp.f64 (+.f64 x 1)) (*.f64 (*.f64 1/6 (pow.f64 y 4)) (exp.f64 (+.f64 x 1))))) -1)
(fma.f64 -1/2 (*.f64 (*.f64 y y) (exp.f64 (+.f64 x 1))) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/6) 1) (exp.f64 (+.f64 x 1))) -1))
(+.f64 -1 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/6 1))))
(fma.f64 (exp.f64 (+.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 4) 1/6) (fma.f64 y (*.f64 y -1/2) 1)) -1)
(fma.f64 (exp.f64 (+.f64 x 1)) (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/6 1)) -1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) (exp.f64 (+.f64 1 x)))) (+.f64 (exp.f64 (+.f64 1 x)) (+.f64 (*.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 (+.f64 1 x)))) (*.f64 1/6 (*.f64 (pow.f64 y 4) (exp.f64 (+.f64 1 x))))))) 1)
(+.f64 (+.f64 (fma.f64 -1/2 (*.f64 (*.f64 y y) (exp.f64 (+.f64 x 1))) (exp.f64 (+.f64 x 1))) (fma.f64 -31/720 (*.f64 (pow.f64 y 6) (exp.f64 (+.f64 x 1))) (*.f64 (*.f64 1/6 (pow.f64 y 4)) (exp.f64 (+.f64 x 1))))) -1)
(+.f64 (*.f64 (+.f64 1 (*.f64 y (*.f64 y -1/2))) (exp.f64 (+.f64 x 1))) (-.f64 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 4) 1/6) (*.f64 (pow.f64 y 6) -31/720))) 1))
(+.f64 (expm1.f64 (+.f64 x 1)) (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 (*.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/6 (*.f64 (pow.f64 y 6) -31/720)))))
(+.f64 -1 (*.f64 (exp.f64 (+.f64 x 1)) (+.f64 (fma.f64 y (*.f64 y -1/2) 1) (fma.f64 (pow.f64 y 4) 1/6 (*.f64 (pow.f64 y 6) -31/720)))))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (+.f64 (cos.f64 y) x)) 1)
(expm1.f64 (+.f64 (cos.f64 y) x))

eval79.0ms (0.8%)

Compiler

Compiled 4959 to 2216 computations (55.3% saved)

prune61.0ms (0.6%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New3096315
Fresh3912
Picked011
Done134
Total31319332
Error
0.0b
Counts
332 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓23.9b
(+.f64 x 1)
▶24.7b
(-.f64 (+.f64 x 1) (*.f64 y z))
34.7b
(+.f64 (*.f64 y (*.f64 y -1/2)) (+.f64 x 1))
26.3b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
29.8b
(+.f64 (*.f64 y z) (+.f64 x 1))
42.9b
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
37.5b
(+.f64 (*.f64 -1 (*.f64 y z)) x)
▶45.1b
(+.f64 1 (*.f64 y (neg.f64 z)))
19.5b
(-.f64 x (*.f64 z (sin.f64 y)))
▶32.8b
(-.f64 (+.f64 x 1) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
17.4b
(+.f64 (cos.f64 y) x)
▶6.9b
(-.f64 (+.f64 x 1) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
37.8b
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
38.5b
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓19.5b
(fma.f64 (sin.f64 y) (neg.f64 z) x)
✓31.5b
(-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
▶45.3b
(*.f64 (sin.f64 y) (neg.f64 z))
37.0b
x
✓6.8b
(-.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
Compiler

Compiled 401 to 267 computations (33.4% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 50 to 25 computations (50% saved)

series17.0ms (0.2%)

Counts
4 → 36
Calls

18 calls:

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

rewrite69.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
766×pow1_binary64
705×add-log-exp_binary64
705×log1p-expm1-u_binary64
705×expm1-log1p-u_binary64
688×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
118126
2201126
Stop Event
1×node limit
Counts
4 → 62
Calls
Call 1
Inputs
(cbrt.f64 z)
(pow.f64 (cbrt.f64 z) 2)
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 z) 1/3) (pow.f64 (sqrt.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 z) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 -.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z (cbrt.f64 z)) (pow.f64 (sin.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (sin.f64 y))))))))

simplify154.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1174×unswap-sqr_binary64
654×distribute-lft-out_binary64
617×associate-+l+_binary64
615×*-commutative_binary64
522×sqr-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047410
1136407
2402366
31401352
42398352
53247352
63384352
73551352
83678352
93829352
105065352
116867352
127217352
137603352
Stop Event
1×node limit
Counts
98 → 80
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (+.f64 (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 -1/6 (pow.f64 y 3) y)))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)
(*.f64 y (cbrt.f64 (*.f64 z z)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (*.f64 y (cbrt.f64 (*.f64 z z))))
(*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y)))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 (*.f64 z z))) (*.f64 y (cbrt.f64 (*.f64 z z)))))
(fma.f64 (cbrt.f64 (*.f64 z z)) (*.f64 -1/6 (pow.f64 y 3)) (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (cbrt.f64 (*.f64 z z)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 y 7))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) y))))
(fma.f64 -1/6 (*.f64 (pow.f64 y 3) (cbrt.f64 (*.f64 z z))) (fma.f64 1/120 (*.f64 (pow.f64 y 5) (cbrt.f64 (*.f64 z z))) (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (cbrt.f64 (*.f64 z z))) (*.f64 y (cbrt.f64 (*.f64 z z))))))
(+.f64 (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 -1/6 (pow.f64 y 3) y)) (*.f64 (cbrt.f64 (*.f64 z z)) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (cbrt.f64 (*.f64 z z)) (+.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 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (sin.f64 y))
(*.f64 (sin.f64 y) (cbrt.f64 (*.f64 z z)))

localize7.0ms (0.1%)

Compiler

Compiled 18 to 8 computations (55.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 10 computations (50% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
992×pow1_binary64
922×log1p-expm1-u_binary64
922×expm1-log1p-u_binary64
921×add-log-exp_binary64
94×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117710
2249910
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 1 (*.f64 y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 (*.f64 y z))) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 (*.f64 y z))) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 (*.f64 y z))) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 (*.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 1 (*.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 z)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 y z)))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 y z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 y z)))) 2) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 y z)))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 y z) (+.f64 1 (+.f64 x (*.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (+.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 y z) (+.f64 1 (+.f64 x (*.f64 y z))))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x (*.f64 y z))) (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 y z) (+.f64 1 (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (*.f64 y z) 2)) (+.f64 1 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 y z) (+.f64 1 (+.f64 x (*.f64 y z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 1 (+.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (*.f64 y z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 1 (*.f64 y z)) (-.f64 1 (*.f64 y z))) (*.f64 x (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 (+.f64 x 1) (*.f64 y (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 1 (*.f64 y z)) (-.f64 1 (*.f64 y z)))) (-.f64 x (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 (+.f64 x 1) (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 y z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 1 (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 1 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (*.f64 y (neg.f64 z)))))))

simplify57.0ms (0.6%)

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
84 → 57
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))

localize16.0ms (0.2%)

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)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite61.0ms (0.6%)

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)))))))

simplify111.0ms (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)))

localize30.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (sin.f64 y) (sqrt.f64 z))
✓0.2b
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
Compiler

Compiled 39 to 13 computations (66.7% saved)

series14.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite68.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify83.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1003×fma-def_binary64
599×associate-*r*_binary64
446×neg-sub0_binary64
437×neg-mul-1_binary64
351×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048356
1132343
2390316
31180312
43294312
55591312
67685312
Stop Event
1×node limit
Counts
58 → 40
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sqrt.f64 z) (sin.f64 y))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5))))
(*.f64 z (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5))))))
(*.f64 z (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 z (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 z (+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(*.f64 y (sqrt.f64 z))
(+.f64 (*.f64 y (sqrt.f64 z)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(fma.f64 y (sqrt.f64 z) (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z)))))
(fma.f64 y (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 (sqrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (*.f64 1/120 (pow.f64 y 5))))
(*.f64 (sqrt.f64 z) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 y (sqrt.f64 z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z))) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) (fma.f64 -1/6 (*.f64 (pow.f64 y 3) (sqrt.f64 z)) (fma.f64 -1/5040 (*.f64 (pow.f64 y 7) (sqrt.f64 z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) (sqrt.f64 z))))))
(+.f64 (*.f64 (sqrt.f64 z) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 (sqrt.f64 z) (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7)))))
(*.f64 (sqrt.f64 z) (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 (sqrt.f64 z) (+.f64 y (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (sqrt.f64 z))

eval60.0ms (0.6%)

Compiler

Compiled 3367 to 1834 computations (45.5% saved)

prune42.0ms (0.4%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New2182220
Fresh1910
Picked011
Done178
Total22019239
Error
0.0b
Counts
239 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓23.9b
(+.f64 x 1)
✓24.7b
(-.f64 (+.f64 x 1) (*.f64 y z))
34.7b
(+.f64 (*.f64 y (*.f64 y -1/2)) (+.f64 x 1))
26.3b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
29.8b
(+.f64 (*.f64 y z) (+.f64 x 1))
42.9b
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
45.1b
(-.f64 1 (*.f64 y z))
19.5b
(-.f64 x (*.f64 z (sin.f64 y)))
✓32.8b
(-.f64 (+.f64 x 1) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
17.4b
(+.f64 (cos.f64 y) x)
✓6.9b
(-.f64 (+.f64 x 1) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
37.8b
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
38.5b
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
✓19.5b
(fma.f64 (sin.f64 y) (neg.f64 z) x)
57.5b
(*.f64 y (neg.f64 z))
✓31.5b
(-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
✓45.3b
(*.f64 (sin.f64 y) (neg.f64 z))
37.0b
x
✓6.8b
(-.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
Compiler

Compiled 220 to 148 computations (32.7% saved)

regimes80.0ms (0.8%)

Counts
34 → 1
Calls
Call 1
Inputs
x
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y z) (+.f64 x 1))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (*.f64 y (*.f64 y -1/2)) (+.f64 x 1))
(+.f64 1 (*.f64 (+.f64 (*.f64 y z) x) 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) (+.f64 x 1))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
(-.f64 (+.f64 x 1) (*.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(-.f64 (log1p.f64 (expm1.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(-.f64 (+.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3))
(-.f64 (+.f64 x 1) (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)))
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

20.0ms
y
18.0ms
x
17.0ms
z
16.0ms
(-.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)))
Compiler

Compiled 339 to 120 computations (64.6% saved)

regimes199.0ms (2%)

Counts
21 → 3
Calls
Call 1
Inputs
x
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y z) (+.f64 x 1))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (*.f64 y (*.f64 y -1/2)) (+.f64 x 1))
(+.f64 1 (*.f64 (+.f64 (*.f64 y z) x) 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) (+.f64 x 1))
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 y z))
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))
Calls

3 calls:

77.0ms
x
77.0ms
y
39.0ms
z
Results
ErrorSegmentsBranch
0.3b3x
5.0b2y
0.1b3z
Compiler

Compiled 145 to 66 computations (54.5% saved)

bsearch224.0ms (2.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
47.0ms
5.754616414316947e-24
2.1752525735512484e-18
177.0ms
-8.20266596069657e+42
-2.2416621225962862e+36
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes88.0ms (0.9%)

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

3 calls:

30.0ms
z
28.0ms
y
26.0ms
x
Results
ErrorSegmentsBranch
11.0b3x
6.4b3y
3.0b3z
Compiler

Compiled 117 to 61 computations (47.9% saved)

bsearch282.0ms (2.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
67.0ms
2.1752525735512484e-18
9.179841658197218e-12
215.0ms
-1.3440119274247626e+101
-2.4644226838534798e+92
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes276.0ms (2.8%)

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

189.0ms
z
50.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
16.2b3x
9.9b6y
9.7b3z
Compiler

Compiled 103 to 57 computations (44.7% saved)

bsearch106.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
54.0ms
1.907462836815851e+182
7.581346018597983e+202
52.0ms
-4.3558872437979956e+178
-2.8429962662024968e+168
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes68.0ms (0.7%)

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

3 calls:

32.0ms
z
24.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
17.4b1x
12.4b3y
14.5b3z
Compiler

Compiled 98 to 55 computations (43.9% saved)

bsearch74.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
36.0ms
7.388100587500896e-30
9.847697805157666e-25
38.0ms
-1213188.7799515845
-560.315978532113
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes81.0ms (0.8%)

Counts
13 → 3
Calls
Call 1
Inputs
x
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y z) (+.f64 x 1))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 (*.f64 y (*.f64 y -1/2)) (+.f64 x 1))
(+.f64 1 (*.f64 (+.f64 (*.f64 y z) x) 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) (+.f64 x 1))
Outputs
(+.f64 x 1)
(-.f64 (+.f64 x 1) (*.f64 y z))
(+.f64 x 1)
Calls

3 calls:

30.0ms
z
25.0ms
x
23.0ms
y
Results
ErrorSegmentsBranch
20.5b3x
18.9b3y
21.0b3z
Compiler

Compiled 94 to 53 computations (43.6% saved)

bsearch128.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
70.0ms
108447536.14616328
17040508778421.55
58.0ms
-3156118704422.5156
-4624185.292118354
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes62.0ms (0.6%)

Counts
8 → 3
Calls
Call 1
Inputs
x
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(-.f64 1 (*.f64 y z))
(+.f64 1 (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y z) (+.f64 x 1))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
Outputs
(+.f64 x 1)
(-.f64 1 (*.f64 y z))
(+.f64 x 1)
Calls

3 calls:

24.0ms
z
17.0ms
y
17.0ms
x
Results
ErrorSegmentsBranch
21.0b3x
22.5b3y
21.2b3z
Compiler

Compiled 49 to 27 computations (44.9% saved)

bsearch141.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
72.0ms
0.2110975273385656
1645864.2695010332
69.0ms
-1159624358053.3381
-203814148.16676727
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes44.0ms (0.4%)

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

3 calls:

24.0ms
z
10.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
23.9b1x
23.9b1y
21.6b3z
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch121.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
60.0ms
1.5296243285835838e+247
7.253874911360501e+251
61.0ms
-2.775295171516073e+224
-6.869801846657787e+219
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
z
4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
23.9b1x
23.9b1y
23.9b1z
Compiler

Compiled 20 to 14 computations (30% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

3 calls:

6.0ms
z
3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
37.0b1x
37.0b1y
37.0b1z
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×+-commutative_binary64
10×sub-neg_binary64
9×*-commutative_binary64
8×cancel-sign-sub-inv_binary64
5×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063250
195250
2115250
3124250
4129250
5130250
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z -8202665960696570131903824147993874202099712) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 z 3916388988371709/680564733841876926926749214863536422912) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -134401192742476260067763575148035811809135172149054304340320107308269686699544032879424212662803759104) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 5647278552084973/2596148429267413814265248164610048) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -43558872437979956310671353047309801210242934184157208471780642120342251198563395934197043827709212764243924313581830000047911437210284265254333555457157393115454983010336838254592) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 190746283681585086274105042063529820637195333473961041500859116046206882063807085095110507447827068302476589708003640194935699196829451933537098316189343186624827079862647009256144896) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y -5210606133766196/4294967296) (+.f64 (cos.f64 y) x) (if (<=.f64 y 10797721105397964800/1461501637330902918203684832716283019655932542976) (-.f64 (+.f64 x 1) (*.f64 y z)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -201991597083041/64) (+.f64 x 1) (if (<=.f64 y 465778621079549184/4294967296) (-.f64 (+.f64 x 1) (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 x -4749821370586473/4096) (+.f64 x 1) (if (<=.f64 x 3894062061407425024/18446744073709551616) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 z -277529517151607284718398636874218807120442153471709335121278985824440768408232029562341677870881948153908751019611557846776820830848709234989866011111077502968094989827627067656445721221997529983364392708410705537490606882816) (*.f64 y (neg.f64 z)) (if (<=.f64 z 15296243285835838089036886032937015360081233924950705150560697611089319745343446777674401045460125604010515191844020925100047909550831532854255205951215801803464067243149021070165346203841424389670199817765858904755505503137942067760755345459249152) (+.f64 x 1) (*.f64 y (neg.f64 z))))
(+.f64 x 1)
x
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z -8202665960696570131903824147993874202099712) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 z 3916388988371709/680564733841876926926749214863536422912) (+.f64 (cos.f64 y) x) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -8202665960696570131903824147993874202099712) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y))) (if (<=.f64 z 3916388988371709/680564733841876926926749214863536422912) (+.f64 x (cos.f64 y)) (-.f64 (+.f64 x 1) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -134401192742476260067763575148035811809135172149054304340320107308269686699544032879424212662803759104) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 5647278552084973/2596148429267413814265248164610048) (+.f64 (cos.f64 y) x) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -134401192742476260067763575148035811809135172149054304340320107308269686699544032879424212662803759104) (-.f64 x (*.f64 z (sin.f64 y))) (if (<=.f64 z 5647278552084973/2596148429267413814265248164610048) (+.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y)))))
(if (<=.f64 z -43558872437979956310671353047309801210242934184157208471780642120342251198563395934197043827709212764243924313581830000047911437210284265254333555457157393115454983010336838254592) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z 190746283681585086274105042063529820637195333473961041500859116046206882063807085095110507447827068302476589708003640194935699196829451933537098316189343186624827079862647009256144896) (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 z -43558872437979956310671353047309801210242934184157208471780642120342251198563395934197043827709212764243924313581830000047911437210284265254333555457157393115454983010336838254592) (neg.f64 (*.f64 z (sin.f64 y))) (if (<=.f64 z 190746283681585086274105042063529820637195333473961041500859116046206882063807085095110507447827068302476589708003640194935699196829451933537098316189343186624827079862647009256144896) (+.f64 x (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))))
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(if (<=.f64 z -277529517151607284718398636874218807120442153471709335121278985824440768408232029562341677870881948153908751019611557846776820830848709234989866011111077502968094989827627067656445721221997529983364392708410705537490606882816) (*.f64 z (neg.f64 y)) (if (<=.f64 z 15296243285835838089036886032937015360081233924950705150560697611089319745343446777674401045460125604010515191844020925100047909550831532854255205951215801803464067243149021070165346203841424389670199817765858904755505503137942067760755345459249152) (+.f64 x 1) (*.f64 z (neg.f64 y))))
(+.f64 x 1)
x
Compiler

Compiled 199 to 124 computations (37.7% saved)

soundness0.0ms (0%)

end77.0ms (0.8%)

Compiler

Compiled 172 to 82 computations (52.3% saved)

Profiling

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