Details

Time bar (total: 3.8s)

analyze701.0ms (18.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
37.4%62.4%0.1%8
37.4%62.4%0.1%9
56.2%43.7%0.1%10
65.5%34.3%0.1%11
65.5%34.3%0.1%12
76.5%23.4%0.1%13
81.9%17.9%0.1%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.7s (72%)

Results
1.3s2110×body1024valid
804.0ms4563×body128valid
455.0ms1067×body512valid
154.0ms512×body256valid
4.0msbody2048valid

preprocess37.0ms (1%)

Algorithm
egg-herbie
Rules
418×rule-*b-ac--*ab*bc_binary64
293×rule-a-*a1_binary64
293×rule-a--a0_binary64
293×rule-a-+a0_binary64
293×rule-a-/a1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02248
112848
240848
3178548
033
Stop Event
saturated
node limit
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)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (*.f64 z (sin.f64 x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(fma.f64 x (cos.f64 z) (*.f64 y (sin.f64 z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify33.0ms (0.9%)

Algorithm
egg-herbie
Rules
480×rule-a--a0_binary64
480×rule-a-+a0_binary64
476×rule-a-*a1_binary64
471×rule-a-/a1_binary64
359×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
15112
215812
366612
4359012
Stop Event
node limit
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)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 44 to 25 computations (43.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series11.0ms (0.3%)

Counts
3 → 64
Calls

21 calls:

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

rewrite54.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
229×rule-*aa-fabs*aa_binary64
205×rule-/ab-*+aa/1/2b_binary64
191×rule-nega--0a_binary64
191×rule-nega-/a-1_binary64
191×rule-nega-*a-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
123024
2323524
Stop Event
node limit
Counts
3 → 122
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (cos.f64 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 0)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (cos.f64 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (cos.f64 0)) (*.f64 x (cos.f64 0))) (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 0)))) (exp.f64 (log1p.f64 (*.f64 x (cos.f64 0))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 x (cos.f64 0)) (*.f64 x (cos.f64 0))) (+.f64 (*.f64 x (cos.f64 0)) (*.f64 x (cos.f64 0)))) (+.f64 (+.f64 (*.f64 x (cos.f64 0)) (*.f64 x (cos.f64 0))) (*.f64 x (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (fabs.f64 (/.f64 1 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 0) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 0) (fabs.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cos.f64 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cos.f64 0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 0) (pow.f64 x 3)) (pow.f64 (*.f64 x (cos.f64 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cos.f64 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 0) (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 0) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 0) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cos.f64 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (*.f64 x (cos.f64 0)) (+.f64 (*.f64 x (cos.f64 0)) (*.f64 x (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cos.f64 0) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (cos.f64 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 0) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cos.f64 0)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cos.f64 0) (cbrt.f64 x)) 2) (*.f64 (cos.f64 0) (cbrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 0) (sqrt.f64 x)) (*.f64 (cos.f64 0) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cos.f64 0))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))) (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))) (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))) (+.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) (fma.f64 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(cos.f64 0) (*.f64 x (cos.f64 0))) (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (+.f64 (*.f64 (cos.f64 0) (pow.f64 x 3)) (pow.f64 (*.f64 z (cos.f64 0)) 3)) (+.f64 (*.f64 (cos.f64 0) (pow.f64 x 3)) (pow.f64 (*.f64 z (cos.f64 0)) 3)))) (fabs.f64 (/.f64 1/2 (+.f64 (pow.f64 (*.f64 x (cos.f64 0)) 2) (-.f64 (pow.f64 (*.f64 z (cos.f64 0)) 2) (*.f64 z (*.f64 (*.f64 x (cos.f64 0)) (cos.f64 0))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) 3) (pow.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 0) (pow.f64 x 3)) (pow.f64 (*.f64 z (cos.f64 0)) 3)) (+.f64 (pow.f64 (*.f64 x (cos.f64 0)) 2) (-.f64 (pow.f64 (*.f64 z (cos.f64 0)) 2) (*.f64 z (*.f64 (*.f64 x (cos.f64 0)) (cos.f64 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) (+.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cos.f64 0)) 1 (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (cos.f64 0) (*.f64 z (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 0) z (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 0) x (*.f64 z (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cos.f64 0)) 1 (*.f64 z (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cos.f64 0) (cbrt.f64 x)) 2) (*.f64 (cos.f64 0) (cbrt.f64 x)) (*.f64 z (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cos.f64 0) (cbrt.f64 z)) 2) (*.f64 (cos.f64 0) (cbrt.f64 z)) (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 0) (sqrt.f64 x)) (*.f64 (cos.f64 0) (sqrt.f64 x)) (*.f64 z (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 0) (sqrt.f64 z)) (*.f64 (cos.f64 0) (sqrt.f64 z)) (*.f64 x (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))) (sqrt.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 0) (*.f64 x (cos.f64 0)))))))))

simplify58.0ms (1.6%)

Algorithm
egg-herbie
Rules
257×fma-neg_binary64
237×rule-*a*bc-*b*ac_binary64
228×rule-*a-bc-*nega-cb_binary64
192×rule-*ab-*ba_binary64
178×rule-*a/cb-/a/bc_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054654
1363654
21163651
34989651
Stop Event
node limit
Counts
186 → 147
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(*.f64 (cos.f64 y) 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) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) 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 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 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) 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 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(+.f64 (*.f64 z (sin.f64 y)) (*.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 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
Outputs
(*.f64 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))
(fma.f64 y z (*.f64 z (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.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 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.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 (*.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 (fma.f64 1/120 (*.f64 z (pow.f64 y 5)) (*.f64 -1/5040 (*.f64 z (pow.f64 y 7))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5))))))
(*.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) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
(*.f64 (cos.f64 y) x)
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 -1/2 (*.f64 x (*.f64 y y)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 1/24 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/720 (*.f64 x (pow.f64 y 6)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) 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 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x))
(fma.f64 y z (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x))
(fma.f64 -1/2 (*.f64 y (*.f64 y x)) (fma.f64 y z x))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) x)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 x (*.f64 y y)) x)))
(fma.f64 y z (fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 -1/2 (*.f64 y (*.f64 y x)) x)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 (cos.f64 y) x)
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))

prune89.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1461147
Fresh000
Picked011
Done000
Total1462148
Error
0.1b
Counts
148 → 2
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
31.1b
(fma.f64 y z x)
Compiler

Compiled 2267 to 1482 computations (34.6% saved)

localize3.0ms (0.1%)

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0.1b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
31.1b
(fma.f64 y z x)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes24.0ms (0.6%)

Accuracy

Total -31.0b remaining (-25184.2%)

Threshold costs -31.0b (-25184.2%)

Counts
8 → 1
Compiler

Compiled 79 to 32 computations (59.5% saved)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

end29.0ms (0.8%)

Stop Event
done
Compiler

Compiled 37 to 17 computations (54.1% saved)

Profiling

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