Details

Time bar (total: 12.1s)

analyze388.0ms (3.2%)

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
6.2%93.6%0.1%7
9.4%90.5%0.1%8
14%85.8%0.1%9
16.4%83.5%0.1%10
19.1%80.7%0.1%11
20.5%79.4%0.1%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample4.1s (34.4%)

Results
2.5s3732×body1024valid
765.0ms1334×body512valid
306.0ms2094×body64valid
234.0ms619×body256valid
215.0ms192×body2048valid
81.0ms285×body128valid

preprocess17.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02356
13956
25356
36556
46956
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 a (sin.f64 b)) (cos.f64 (+.f64 r b)))
(/.f64 a (/.f64 (cos.f64 (+.f64 r b)) (sin.f64 b)))
(*.f64 (/.f64 a (cos.f64 (+.f64 r b))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 a (cos.f64 (+.f64 r b))))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 a r)))
(/.f64 b (/.f64 (cos.f64 (+.f64 r a)) (sin.f64 r)))
(*.f64 (/.f64 b (cos.f64 (+.f64 r a))) (sin.f64 r))
(*.f64 (sin.f64 r) (/.f64 b (cos.f64 (+.f64 r a))))
(/.f64 (*.f64 b (sin.f64 r)) (cos.f64 (+.f64 r a)))
(/.f64 (*.f64 r (sin.f64 a)) (cos.f64 (+.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 a)))
(*.f64 r (/.f64 (sin.f64 a) (cos.f64 (+.f64 b a))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11314
21714
32014
42114
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))

prune11.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
13.4b
Counts
3 → 2
Alt Table
StatusErrorProgram
13.5b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
13.4b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
Compiler

Compiled 69 to 44 computations (36.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
0.2b
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
4.0b
(cos.f64 (+.f64 b a))

series21.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
3.0ms
b
@0
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
2.0ms
a
@inf
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
2.0ms
r
@0
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
1.0ms
a
@-inf
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
1.0ms
b
@0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))

rewrite68.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
583×prod-diff_binary64
538×log-prod_binary64
345×pow-prod-down_binary64
288×pow2_binary64
214×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
120031
2287231
Stop Event
node limit
Counts
3 → 133
Calls
Call 1
Inputs
(cos.f64 (+.f64 b a))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) 1) (cos.f64 (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 b) r) (sqrt.f64 (cos.f64 (+.f64 b a)))) (sqrt.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 (sin.f64 b) r)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) 1))))))

simplify57.0ms (0.5%)

Algorithm
egg-herbie
Rules
904×fma-def_binary64
521×times-frac_binary64
472×associate-/l*_binary64
437×associate-*l/_binary64
359×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01781827
15851745
221091658
Stop Event
node limit
Counts
217 → 187
Calls
Call 1
Inputs
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
Outputs
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) b)))
(-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (fma.f64 -1 (*.f64 (sin.f64 a) b) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b)))))
(+.f64 (-.f64 (cos.f64 a) (*.f64 (sin.f64 a) b)) (*.f64 (cos.f64 a) (*.f64 (*.f64 b b) -1/2)))
(+.f64 (cos.f64 a) (*.f64 b (-.f64 (*.f64 (*.f64 (cos.f64 a) -1/2) b) (sin.f64 a))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (cos.f64 a) (fma.f64 -1 (*.f64 (sin.f64 a) b) (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 -1/2 (*.f64 (cos.f64 a) (*.f64 b b))))))
(+.f64 (cos.f64 a) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 (cos.f64 a) (*.f64 (*.f64 b b) -1/2))) (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (fma.f64 (cos.f64 a) (*.f64 (*.f64 b b) -1/2) (*.f64 (sin.f64 a) (+.f64 (neg.f64 b) (*.f64 1/6 (pow.f64 b 3))))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 a (*.f64 -1 b)))
(cos.f64 (+.f64 a b))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(fma.f64 -1 (*.f64 a (sin.f64 b)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(fma.f64 -1 (*.f64 a (sin.f64 b)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b)))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))
(fma.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b) (*.f64 a (neg.f64 (sin.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(fma.f64 -1 (*.f64 a (sin.f64 b)) (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b))) (*.f64 a (sin.f64 b)))
(fma.f64 (fma.f64 -1/2 (*.f64 a a) 1) (cos.f64 b) (*.f64 (sin.f64 b) (+.f64 (neg.f64 a) (*.f64 1/6 (pow.f64 a 3)))))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(cos.f64 (-.f64 b (*.f64 -1 a)))
(cos.f64 (+.f64 a b))
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b))))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b))))
(fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (fma.f64 -1 (*.f64 (pow.f64 b 4) (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (neg.f64 (/.f64 (sin.f64 a) (/.f64 (cos.f64 a) (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))))))))) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b))))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (pow.f64 b 3) (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)) (*.f64 (pow.f64 b 4) (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3) (*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3)))))))))
(-.f64 (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a)))) (*.f64 (pow.f64 b 4) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/3 (*.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 a (*.f64 -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 a (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)))
(fma.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (fma.f64 -1 (*.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (/.f64 (*.f64 a (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (/.f64 (*.f64 a (pow.f64 (sin.f64 b) 2)) (pow.f64 (cos.f64 b) 2)) (*.f64 (*.f64 a a) (-.f64 (/.f64 -1/2 (/.f64 (cos.f64 b) (sin.f64 b))) (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))))
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(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 b (*.f64 -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)

prune716.0ms (5.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New16918187
Fresh011
Picked101
Done000
Total17019189
Error
0.1b
Counts
189 → 19
Alt Table
StatusErrorProgram
28.0b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))
13.6b
(*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))))
1.0b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))
13.5b
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
1.0b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2))))))
25.0b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))
13.8b
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))
30.9b
(*.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))) (*.f64 (pow.f64 a 3) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) -1/3)))))))
13.5b
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
28.0b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))
27.7b
(-.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (*.f64 (/.f64 a (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) r)) (*.f64 a (*.f64 a (fma.f64 -1/2 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3) (neg.f64 r))))))
13.5b
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
29.4b
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
0.9b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
36.0b
(*.f64 r (*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))))
Compiler

Compiled 5874 to 2241 computations (61.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
0.2b
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
0.2b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
0.2b
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))

series30.0ms (0.2%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
5.0ms
r
@inf
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
2.0ms
b
@-inf
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
2.0ms
b
@inf
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
2.0ms
b
@inf
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
2.0ms
r
@0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))

rewrite115.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
653×log-prod_binary64
333×pow2_binary64
299×prod-diff_binary64
254×pow-unpow_binary64
236×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01377
126669
2349239
Stop Event
node limit
Counts
4 → 249
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (neg.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 1 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (+.f64 b a))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) -2) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (+.f64 b a)) -1/2) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (cos.f64 (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 (+.f64 b a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) 1) 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simplify78.0ms (0.6%)

Algorithm
egg-herbie
Rules
497×times-frac_binary64
452×associate-/l*_binary64
437×associate-*l/_binary64
359×associate-*r/_binary64
307×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01982979
16522833
223352734
Stop Event
node limit
Counts
357 → 317
Calls
Call 1
Inputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (cos.f64 b) 3)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) a) (pow.f64 (cos.f64 b) 2)))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2)) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 a) r) (pow.f64 (cos.f64 a) 2))))) (pow.f64 b 4))))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) (*.f64 a r)) (pow.f64 (cos.f64 b) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (sin.f64 b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 2) r) (pow.f64 (cos.f64 b) 2))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 b) 3) r) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 -1 (*.f64 (sin.f64 a) b))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))) (*.f64 -1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 b) a))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 -1 (*.f64 (sin.f64 b) a)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (*.f64 -1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))))))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 -1 (*.f64 (sin.f64 a) b)))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) b)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
Outputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))
(+.f64 (/.f64 b (cos.f64 a)) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b))))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (/.f64 (neg.f64 (pow.f64 (sin.f64 a) 2)) (pow.f64 (cos.f64 a) 3))) (pow.f64 b 3) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b)))))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (*.f64 b b) (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (+.f64 (/.f64 1/3 (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))) b))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 4) (+.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 a) (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a))))))) (/.f64 (*.f64 (sin.f64 a) (pow.f64 b 2)) (pow.f64 (cos.f64 a) 2)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3))))) (pow.f64 b 3) (fma.f64 -1 (*.f64 (pow.f64 b 4) (fma.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (fma.f64 -1/2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (neg.f64 (/.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (cos.f64 a) 3)))))) (cos.f64 a)))))) (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 b b))))))
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(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))
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(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(cos.f64 a)
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(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
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(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 b)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (cos.f64 b))
(fma.f64 -1 (*.f64 a (sin.f64 b)) (cos.f64 b))
(-.f64 (cos.f64 b) (*.f64 a (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 b) a)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (cos.f64 b)))
(fma.f64 -1 (*.f64 a (sin.f64 b)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b)))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b)) (*.f64 a (sin.f64 b)))
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(fma.f64 -1 (*.f64 a (sin.f64 b)) (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/2 (*.f64 (cos.f64 b) (*.f64 a a)) (cos.f64 b))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 a a)) 1) (cos.f64 b))) (*.f64 a (sin.f64 b)))
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(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
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(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
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(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))

prune1.5s (12.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New3089317
Fresh11718
Picked101
Done000
Total32016336
Error
0.1b
Counts
336 → 16
Alt Table
StatusErrorProgram
13.6b
(*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))))
0.4b
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
0.9b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
0.3b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))
13.8b
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
13.5b
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
25.0b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
36.0b
(*.f64 r (*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))))
30.9b
(*.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))) (*.f64 (pow.f64 a 3) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) -1/3)))))))
Compiler

Compiled 10752 to 3554 computations (66.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 b) (sin.f64 a))
0.2b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
0.2b
(+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))
0.2b
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))

series25.0ms (0.2%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(*.f64 (sin.f64 b) (sin.f64 a))
2.0ms
b
@0
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
2.0ms
b
@inf
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
2.0ms
a
@0
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
2.0ms
b
@-inf
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))

rewrite109.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
636×fma-def_binary64
323×fma-neg_binary64
297×expm1-udef_binary64
297×log1p-udef_binary64
245×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017150
136378
2510172
Stop Event
node limit
Counts
4 → 245
Calls
Call 1
Inputs
(/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))))
(+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
(*.f64 (sin.f64 b) (sin.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))) 2) (cbrt.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (cbrt.f64 (sin.f64 b)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))) (sqrt.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 b)) (*.f64 (sqrt.f64 (sin.f64 b)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 b)) (/.f64 1 (neg.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))) (sin.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 b)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))) 2)) (/.f64 (sin.f64 b) (cbrt.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))) 2)) (cbrt.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 b)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))) 2)) (/.f64 (sqrt.f64 (sin.f64 b)) (cbrt.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))) (/.f64 (sin.f64 b) (sqrt.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (sqrt.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))) (/.f64 (cbrt.f64 (sin.f64 b)) (sqrt.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (cos.f64 (-.f64 a b)) 3) (pow.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) 3))) (fma.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (-.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))) 2)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 b) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2 (cos.f64 (-.f64 a b))) (sin.f64 b)) -1)))) (#(struct:change #<rule 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simplify80.0ms (0.7%)

Algorithm
egg-herbie
Rules
743×distribute-rgt-in_binary64
703×distribute-lft-in_binary64
270×cancel-sign-sub-inv_binary64
225×distribute-rgt-neg-in_binary64
217×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02283865
17513545
229672830
Stop Event
node limit
Counts
353 → 315
Calls
Call 1
Inputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2)))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))))) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b))) (/.f64 (*.f64 (sin.f64 b) (*.f64 (-.f64 (*.f64 1/3 (sin.f64 b)) (*.f64 1/6 (sin.f64 b))) r)) (pow.f64 (cos.f64 b) 2)))) (pow.f64 a 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 (sin.f64 a) b)
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) a)
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
Outputs
(/.f64 b (cos.f64 a))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2)))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1) (*.f64 b b)))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a)))) (cos.f64 a)))) (pow.f64 b 3)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (/.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1) (/.f64 (cos.f64 a) (neg.f64 (sin.f64 a)))))) (pow.f64 b 3) (*.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1) (*.f64 b b))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (*.f64 (/.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (cos.f64 a)) (neg.f64 (sin.f64 a)))) (pow.f64 b 3) (*.f64 b (*.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))))
(+.f64 (/.f64 b (cos.f64 a)) (*.f64 (*.f64 b b) (+.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (*.f64 (fma.f64 (/.f64 1 (cos.f64 a)) 1/3 (*.f64 (/.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (cos.f64 a)) (sin.f64 a))) b))))
(+.f64 (/.f64 b (cos.f64 a)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a)))) (cos.f64 a)))) (pow.f64 b 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (pow.f64 b 2)) (*.f64 (-.f64 (*.f64 1/6 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -1 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (cos.f64 a))) (+.f64 (*.f64 1/6 (/.f64 1 (cos.f64 a))) (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2))) (*.f64 -2 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a)))) (cos.f64 a)))) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a)))) (cos.f64 a)) (*.f64 1/3 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))) (pow.f64 b 4)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (/.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1) (/.f64 (cos.f64 a) (neg.f64 (sin.f64 a)))))) (pow.f64 b 3) (fma.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1) (*.f64 b b) (*.f64 (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1/6) (fma.f64 -1/2 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1) (+.f64 (/.f64 (-.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (/.f64 1/6 (cos.f64 a)) (/.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1) (/.f64 (cos.f64 a) (neg.f64 (sin.f64 a)))))) (/.f64 (cos.f64 a) (neg.f64 (sin.f64 a)))) (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1/3)))) (pow.f64 b 4)))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (*.f64 (/.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (cos.f64 a)) (neg.f64 (sin.f64 a)))) (pow.f64 b 3) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1/6) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) -1/2 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1/3 (/.f64 (-.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/3) (*.f64 (/.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (cos.f64 a)) (neg.f64 (sin.f64 a)))) (/.f64 (cos.f64 a) (neg.f64 (sin.f64 a))))))) (pow.f64 b 4) (*.f64 b (*.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))))
(+.f64 (/.f64 b (cos.f64 a)) (fma.f64 (fma.f64 (/.f64 1 (cos.f64 a)) 1/3 (*.f64 (/.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (cos.f64 a)) (sin.f64 a))) (pow.f64 b 3) (fma.f64 (-.f64 (*.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 2/3) (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) 1/3 (/.f64 (neg.f64 (sin.f64 a)) (/.f64 (cos.f64 a) (fma.f64 (/.f64 1 (cos.f64 a)) 1/3 (*.f64 (/.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)) (cos.f64 a)) (sin.f64 a))))))) (pow.f64 b 4) (*.f64 b (*.f64 b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) 2)))))))
(/.f64 (sin.f64 b) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (sin.f64 b) (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (sin.f64 b) (cos.f64 b))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))))) (pow.f64 (cos.f64 b) 2))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (neg.f64 (/.f64 (sin.f64 b) (/.f64 (pow.f64 (cos.f64 b) 2) (*.f64 a (neg.f64 (sin.f64 b)))))))
(-.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 a (sin.f64 b)) (/.f64 (pow.f64 (cos.f64 b) 2) (neg.f64 (sin.f64 b)))))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (/.f64 (*.f64 a (*.f64 (sin.f64 b) (sin.f64 b))) (pow.f64 (cos.f64 b) 2)))
(+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))))) (pow.f64 (cos.f64 b) 2))) (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/2 (/.f64 (sin.f64 b) (cos.f64 b))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (pow.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) 2)) (pow.f64 (cos.f64 b) 3))))))))
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(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (/.f64 (-.f64 (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) r))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b)) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b))))) r)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 a) b)
(*.f64 b (sin.f64 a))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 b (sin.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) -1/6) (pow.f64 b 3) (*.f64 b (sin.f64 a)))
(*.f64 (sin.f64 a) (+.f64 b (*.f64 -1/6 (pow.f64 b 3))))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 (*.f64 (sin.f64 a) -1/6) (pow.f64 b 3) (fma.f64 b (sin.f64 a) (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 5) 1/120))))
(fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 (sin.f64 a) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 (*.f64 (sin.f64 a) -1/6) (pow.f64 b 3) (fma.f64 b (sin.f64 a) (*.f64 (sin.f64 a) (*.f64 (pow.f64 b 5) 1/120)))))
(+.f64 (*.f64 (sin.f64 a) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))) (*.f64 (sin.f64 a) (+.f64 (*.f64 -1/6 (pow.f64 b 3)) (*.f64 -1/5040 (pow.f64 b 7)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) a)
(*.f64 a (sin.f64 b))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 a (sin.f64 b)))
(fma.f64 (*.f64 (sin.f64 b) -1/6) (pow.f64 a 3) (*.f64 a (sin.f64 b)))
(*.f64 (sin.f64 b) (+.f64 a (*.f64 -1/6 (pow.f64 a 3))))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 a (sin.f64 b))))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 a (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 5) 1/120))))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (*.f64 (sin.f64 b) (+.f64 a (*.f64 1/120 (pow.f64 a 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)) (fma.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5)) (*.f64 a (sin.f64 b)))))
(fma.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3)) (fma.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7)) (fma.f64 a (sin.f64 b) (*.f64 (sin.f64 b) (*.f64 (pow.f64 a 5) 1/120)))))
(+.f64 (*.f64 (sin.f64 b) (+.f64 a (*.f64 1/120 (pow.f64 a 5)))) (*.f64 (sin.f64 b) (+.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 -1/5040 (pow.f64 a 7)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 a) (sin.f64 b))

prune2.5s (20.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New4016407
Fresh7815
Picked101
Done000
Total40914423
Error
0.0b
Counts
423 → 14
Alt Table
StatusErrorProgram
14.1b
(*.f64 r (/.f64 (sin.f64 b) (/.f64 1 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (-.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) 2)) (+.f64 (pow.f64 (cos.f64 (-.f64 a b)) 3) (pow.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) 3))))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
25.0b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))
13.8b
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))
0.7b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 (cos.f64 a) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (cos.f64 b)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))))
13.5b
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
0.4b
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
0.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
0.9b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
14.1b
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (cos.f64 (-.f64 a b)) 3) (pow.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) 3))) (fma.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (-.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) 2))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
Compiler

Compiled 14893 to 5832 computations (60.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 b) r)
0.2b
(*.f64 (sin.f64 a) (sin.f64 b))
0.2b
(-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
0.3b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))

series15.0ms (0.1%)

Counts
4 → 28
Calls

27 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
1.0ms
r
@-inf
(*.f64 (sin.f64 b) r)
1.0ms
a
@-inf
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
1.0ms
r
@inf
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
1.0ms
b
@inf
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))

rewrite112.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
776×fma-def_binary64
427×fma-neg_binary64
341×expm1-udef_binary64
341×log1p-udef_binary64
208×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01880
139856
2597756
Stop Event
node limit
Counts
4 → 247
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) r)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) r)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (/.f64 1 (/.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) r)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 b) (*.f64 r (/.f64 1 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 r (*.f64 (sin.f64 b) (/.f64 1 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 b) r) (/.f64 1 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) r)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 b) (/.f64 (fma.f64 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(sin.f64 b) (sin.f64 a))) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)) (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2 (sin.f64 a)) 1) (sin.f64 b) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2 (sin.f64 a)) 1) (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2 (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2 (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (cos.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2 (sin.f64 a)) (sqrt.f64 (sin.f64 b))) (sqrt.f64 (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 a) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (cos.f64 b)) (fma.f64 (sin.f64 b) (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 a) (sqrt.f64 (cos.f64 b))) (sqrt.f64 (cos.f64 b)) (fma.f64 (sin.f64 b) (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 b) (pow.f64 (cbrt.f64 (cos.f64 a)) 2)) (cbrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 b) (sqrt.f64 (cos.f64 a))) (sqrt.f64 (cos.f64 a)) (fma.f64 (sin.f64 b) (*.f64 -2 (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 a b)) 2) (/.f64 (cos.f64 (-.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (-.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 a b)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 a b))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 (sin.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 a) 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 b) r))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 b) r) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) r)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 b) r)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 r) (sin.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) r))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) r) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 b) 3) (pow.f64 r 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 r 3) (pow.f64 (sin.f64 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 b) r)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 b) r)) 1))))))

simplify44.0ms (0.4%)

Algorithm
egg-herbie
Rules
792×times-frac_binary64
555×associate-/l*_binary64
473×distribute-rgt-in_binary64
446×distribute-lft-in_binary64
381×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691062
15561032
22120913
Stop Event
node limit
Counts
275 → 301
Calls
Call 1
Inputs
(/.f64 (*.f64 b r) (cos.f64 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (*.f64 r b) (cos.f64 a)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (*.f64 -1/2 (/.f64 r (cos.f64 a))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (*.f64 r b) (cos.f64 a))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (*.f64 -1/2 (/.f64 r (cos.f64 a))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 4) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (*.f64 -1/2 (/.f64 r (cos.f64 a))))) (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a)))) (cos.f64 a)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) r) (pow.f64 (cos.f64 a) 2))) (/.f64 (*.f64 r (-.f64 (*.f64 1/3 (sin.f64 a)) (*.f64 1/6 (sin.f64 a)))) (pow.f64 (cos.f64 a) 2)))))) (/.f64 (*.f64 r b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 a (*.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) r))) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))))) (pow.f64 (cos.f64 b) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))))) (cos.f64 b))) (/.f64 (*.f64 (sin.f64 b) (*.f64 (-.f64 (*.f64 1/3 (sin.f64 b)) (*.f64 1/6 (sin.f64 b))) r)) (pow.f64 (cos.f64 b) 2)))) (pow.f64 a 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 b) (*.f64 r (pow.f64 (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b))) 2))) (pow.f64 (cos.f64 b) 3))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(cos.f64 b)
(+.f64 (*.f64 a (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b)))) (cos.f64 b))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b)))) (cos.f64 b)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a 2) (cos.f64 b))) (+.f64 (*.f64 a (-.f64 (*.f64 -2 (sin.f64 b)) (*.f64 -1 (sin.f64 b)))) (+.f64 (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/3 (sin.f64 b)) (*.f64 1/6 (sin.f64 b)))) (cos.f64 b))))
(cos.f64 a)
(+.f64 (cos.f64 a) (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b))
(+.f64 (cos.f64 a) (+.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2)))))
(+.f64 (cos.f64 a) (+.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) b) (+.f64 (*.f64 (pow.f64 b 3) (-.f64 (*.f64 1/3 (sin.f64 a)) (*.f64 1/6 (sin.f64 a)))) (*.f64 -1/2 (*.f64 (cos.f64 a) (pow.f64 b 2))))))
(*.f64 (sin.f64 b) a)
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (*.f64 (sin.f64 b) a))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a)))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 b) (pow.f64 a 3))) (+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 b) (pow.f64 a 7))) (+.f64 (*.f64 1/120 (*.f64 (sin.f64 b) (pow.f64 a 5))) (*.f64 (sin.f64 b) a))))
(*.f64 (sin.f64 a) b)
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (*.f64 (sin.f64 a) b))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(*.f64 r b)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 r b) (*.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 b 7) r)) (+.f64 (*.f64 r b) (*.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
Outputs
(/.f64 (*.f64 b r) (cos.f64 a))
(/.f64 r (/.f64 (cos.f64 a) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (*.f64 r b) (cos.f64 a)))
(fma.f64 -1 (/.f64 (neg.f64 (sin.f64 a)) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))) (/.f64 r (/.f64 (cos.f64 a) b)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 b (*.f64 b r))) (pow.f64 (cos.f64 a) 2)) (*.f64 (/.f64 r (cos.f64 a)) b))
(fma.f64 (/.f64 r (cos.f64 a)) b (*.f64 (/.f64 (sin.f64 a) (/.f64 (pow.f64 (cos.f64 a) 2) r)) (*.f64 b b)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) 2) r) (pow.f64 (cos.f64 a) 3))) (*.f64 -1/2 (/.f64 r (cos.f64 a))))) (pow.f64 b 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2 (sin.f64 a)) (*.f64 -1 (sin.f64 a))) (*.f64 (pow.f64 b 2) r)) (pow.f64 (cos.f64 a) 2))) (/.f64 (*.f64 r b) (cos.f64 a))))
(fma.f64 (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (sin.f64 a)) 2) (/.f64 (pow.f64 (cos.f64 a) 3) r)) (*.f64 (/.f64 r (cos.f64 a)) -1/2))) (pow.f64 b 3) (fma.f64 -1 (/.f64 (neg.f64 (sin.f64 a)) (/.f64 (pow.f64 (cos.f64 a) 2) (*.f64 r (*.f64 b b)))) (/.f64 r (/.f64 (cos.f64 a) b))))
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(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5)))))
(fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 b (sin.f64 a) (*.f64 (sin.f64 a) (*.f64 1/120 (pow.f64 b 5)))))
(fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (*.f64 (sin.f64 a) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7))) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3))) (+.f64 (*.f64 (sin.f64 a) b) (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 (sin.f64 a) b (*.f64 1/120 (*.f64 (sin.f64 a) (pow.f64 b 5))))))
(fma.f64 -1/5040 (*.f64 (sin.f64 a) (pow.f64 b 7)) (fma.f64 -1/6 (*.f64 (sin.f64 a) (pow.f64 b 3)) (fma.f64 b (sin.f64 a) (*.f64 (sin.f64 a) (*.f64 1/120 (pow.f64 b 5))))))
(+.f64 (*.f64 (sin.f64 a) (+.f64 b (*.f64 1/120 (pow.f64 b 5)))) (*.f64 (sin.f64 a) (+.f64 (*.f64 -1/6 (pow.f64 b 3)) (*.f64 -1/5040 (pow.f64 b 7)))))
(*.f64 r b)
(*.f64 b r)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (*.f64 r b))
(fma.f64 -1/6 (*.f64 r (pow.f64 b 3)) (*.f64 b r))
(*.f64 r (+.f64 b (*.f64 -1/6 (pow.f64 b 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 r b) (*.f64 1/120 (*.f64 (pow.f64 b 5) r))))
(fma.f64 -1/6 (*.f64 r (pow.f64 b 3)) (fma.f64 r b (*.f64 1/120 (*.f64 r (pow.f64 b 5)))))
(fma.f64 -1/6 (*.f64 r (pow.f64 b 3)) (*.f64 r (+.f64 b (*.f64 1/120 (pow.f64 b 5)))))
(*.f64 r (+.f64 (*.f64 1/120 (pow.f64 b 5)) (+.f64 b (*.f64 -1/6 (pow.f64 b 3)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) r)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 b 7) r)) (+.f64 (*.f64 r b) (*.f64 1/120 (*.f64 (pow.f64 b 5) r)))))
(fma.f64 -1/6 (*.f64 r (pow.f64 b 3)) (fma.f64 -1/5040 (*.f64 r (pow.f64 b 7)) (fma.f64 r b (*.f64 1/120 (*.f64 r (pow.f64 b 5))))))
(fma.f64 -1/6 (*.f64 r (pow.f64 b 3)) (fma.f64 -1/5040 (*.f64 r (pow.f64 b 7)) (*.f64 r (+.f64 b (*.f64 1/120 (pow.f64 b 5))))))
(*.f64 r (+.f64 (+.f64 b (*.f64 1/120 (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (pow.f64 b 3)) (*.f64 -1/5040 (pow.f64 b 7)))))

prune1.7s (14.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New3339342
Fresh6713
Picked101
Done000
Total34016356
Error
0.0b
Counts
356 → 16
Alt Table
StatusErrorProgram
0.5b
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (sin.f64 a) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
0.4b
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
25.0b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
13.0b
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
0.9b
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
13.1b
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 1 (/.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) 2)) (+.f64 (pow.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))))
13.0b
(pow.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) r)) 1)
0.5b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))))
13.0b
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) 2)) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
0.5b
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (fma.f64 -8 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3)) (/.f64 1 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) -2))) (pow.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) -2)) 2))) (*.f64 (sin.f64 b) (sin.f64 a))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
0.4b
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (sin.f64 a) 2))) (cbrt.f64 (sin.f64 a)) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
0.4b
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
Compiler

Compiled 11265 to 3797 computations (66.3% saved)

regimes164.0ms (1.4%)

Accuracy

Total -53.5b remaining (-15568.9%)

Threshold costs -53.5b (-15568.9%)

Counts
44 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (sin.f64 a) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)) (cbrt.f64 (sin.f64 b)) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 (sin.f64 b) 1) (/.f64 r (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 1 (/.f64 (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) 2)) (+.f64 (pow.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))))
(pow.f64 (/.f64 (sin.f64 b) (/.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) r)) 1)
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))) 2)) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (sin.f64 b) (sin.f64 a) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (fma.f64 -8 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) 3)) (/.f64 1 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) -2))) (pow.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 b) -2)) 2))) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (*.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (sin.f64 a) 2))) (cbrt.f64 (sin.f64 a)) (fma.f64 -2 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 1 (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (-.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) 2)) (+.f64 (pow.f64 (cos.f64 (-.f64 a b)) 3) (pow.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) 3))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 b)) (sin.f64 a))) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (*.f64 (cos.f64 a) (pow.f64 (cbrt.f64 (cos.f64 b)) 2)) (cbrt.f64 (cos.f64 b)) (-.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (+.f64 (*.f64 -2 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (cos.f64 (-.f64 a b)) 3) (pow.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) 3))) (fma.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (-.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) 2))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 b))) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))) (*.f64 (cbrt.f64 (sin.f64 b)) (*.f64 (sin.f64 a) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))))))
(/.f64 r (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (cbrt.f64 (sin.f64 a)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 a)) (sin.f64 b)) (pow.f64 (cbrt.f64 (sin.f64 a)) 2))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (pow.f64 (sin.f64 b) 2)) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (cbrt.f64 (pow.f64 (sin.f64 b) 2)))))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (*.f64 (sin.f64 b) r) (+.f64 (*.f64 -1 (*.f64 (sin.f64 a) (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 b a)) 3))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 2) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 b) (sin.f64 a))) 2))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (sqrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (cbrt.f64 (sin.f64 b)) 2) (*.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (sin.f64 a)) (pow.f64 (cbrt.f64 (sin.f64 b)) 2))))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) 2)) (cbrt.f64 (cos.f64 (+.f64 b a))))
(*.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a (-.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (*.f64 (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) a))) (*.f64 (pow.f64 a 3) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 (/.f64 -1/2 (cos.f64 b)) (sin.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3)) (/.f64 (pow.f64 (sin.f64 b) 2) (/.f64 (pow.f64 (cos.f64 b) 2) -1/3)))))))
(*.f64 r (/.f64 (sin.f64 b) (log1p.f64 (expm1.f64 (cos.f64 (+.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 1 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a))) (sqrt.f64 (sin.f64 b)) (*.f64 (*.f64 (sqrt.f64 (sin.f64 b)) (sin.f64 a)) (sqrt.f64 (sin.f64 b)))))))
(-.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (*.f64 (/.f64 a (pow.f64 (cos.f64 b) 2)) (pow.f64 (sin.f64 b) 2)) r)) (*.f64 a (*.f64 a (fma.f64 -1/2 (/.f64 r (/.f64 (cos.f64 b) (sin.f64 b))) (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) 3) (neg.f64 r))))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(+.f64 (/.f64 (*.f64 (sin.f64 a) (*.f64 r (pow.f64 b 2))) (pow.f64 (cos.f64 a) 2)) (+.f64 (/.f64 (*.f64 r b) (cos.f64 a)) (*.f64 (pow.f64 b 3) (-.f64 (*.f64 -1/6 (/.f64 r (cos.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 r (cos.f64 a))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 a) 2) r) (pow.f64 (cos.f64 a) 3))))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) 2) (cbrt.f64 (*.f64 (cos.f64 b) (cos.f64 a))) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (*.f64 (/.f64 (sqrt.f64 (sin.f64 b)) 1) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
Results
27.0ms0.3br
21.0ms0.3ba
22.0ms0.3bb
64.0ms0.3b(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1459 to 501 computations (65.7% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
28×distribute-rgt-neg-in_binary64
23×cancel-sign-sub-inv_binary64
19×distribute-lft-neg-in_binary64
14×distribute-lft-neg-out_binary64
13×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01751
12947
24447
37047
48147
510147
611647
712947
815247
917047
1018347
1118747
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 1)) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1)))))
(*.f64 r (/.f64 (sin.f64 b) (+.f64 (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 b) (sin.f64 a))) (fma.f64 (*.f64 (sin.f64 b) (sin.f64 a)) -1 (*.f64 (sin.f64 b) (neg.f64 (sin.f64 a)))))))

end21.0ms (0.2%)

Stop Event
fuel
Compiler

Compiled 64 to 32 computations (50% saved)

Profiling

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