Details

Time bar (total: 10.2s)

analyze298.0ms (2.9%)

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
12.5%87.4%0.1%6
18.7%81.2%0.1%7
25%73.4%1.7%8
28.1%68.7%3.2%9
31.2%62.8%6%10
32.8%60.1%7.1%11
34.3%56.7%9%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample3.0s (29.7%)

Results
1.4s2354×body1024valid
586.0ms3846×body64valid
546.0ms1163×body512valid
213.0ms313×body128valid
209.0ms573×body256valid
52.0ms354×body64invalid
6.0msbody2048valid

preprocess47.0ms (0.5%)

Algorithm
egg-herbie
Rules
698×fma-def_binary64
260×fma-neg_binary64
146×times-frac_binary64
110×cancel-sign-sub-inv_binary64
104×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01838
14128
29428
316928
427128
541328
651528
765828
882128
987028
1091028
11107528
12157228
13238928
14260728
15266728
16270328
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (/.f64 1 (sin.f64 x)))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (/.f64 1 (sin.f64 x)))
(+.f64 (*.f64 B (neg.f64 (/.f64 1 (tan.f64 x)))) (/.f64 1 (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 B (tan.f64 x)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
105×fma-def_binary64
66×fma-neg_binary64
25×cancel-sign-sub-inv_binary64
19×sub-neg_binary64
11×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01119
12414
25114
39014
414314
521614
626714
733714
841914
943914
1044414
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.2b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Compiler

Compiled 73 to 53 computations (27.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.1b
(/.f64 1 (sin.f64 B))
0.1b
(/.f64 x (tan.f64 B))

series13.0ms (0.1%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 x (tan.f64 B))
2.0ms
B
@inf
(/.f64 x (tan.f64 B))
2.0ms
B
@inf
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
1.0ms
B
@-inf
(/.f64 x (tan.f64 B))
1.0ms
x
@inf
(/.f64 x (tan.f64 B))

rewrite95.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
785×prod-diff_binary64
495×log-prod_binary64
276×fma-def_binary64
272×pow2_binary64
200×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
119926
2291126
Stop Event
node limit
Counts
3 → 268
Calls
Call 1
Inputs
(/.f64 x (tan.f64 B))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 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1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))))

simplify57.0ms (0.6%)

Algorithm
egg-herbie
Rules
683×sub-neg_binary64
502×distribute-rgt-in_binary64
480×distribute-lft-in_binary64
418×fma-def_binary64
370×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070833
1194800
2609780
32861778
47258778
Stop Event
node limit
Counts
320 → 297
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
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prune1.0s (9.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2898297
Fresh101
Picked101
Done000
Total2918299
Error
0b
Counts
299 → 8
Alt Table
StatusErrorProgram
0.9b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
8.5b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
0.6b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 x (cbrt.f64 (tan.f64 B)))))
17.5b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
12.1b
(pow.f64 (/.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) -1)
Compiler

Compiled 7869 to 3254 computations (58.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
0.1b
(/.f64 1 (sin.f64 B))
0.1b
(*.f64 (cos.f64 B) x)
0.2b
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))

series11.0ms (0.1%)

Counts
3 → 24
Calls

18 calls:

TimeVariablePointExpression
2.0ms
B
@-inf
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
1.0ms
B
@0
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
1.0ms
B
@inf
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
1.0ms
x
@0
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
1.0ms
B
@0
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))

rewrite130.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
911×prod-diff_binary64
577×log-prod_binary64
342×fma-def_binary64
286×egg-rr
203×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
121831
2326026
Stop Event
node limit
Counts
3 → 352
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (cos.f64 B) x)
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) (*.f64 x (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (cos.f64 B) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 B) x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (/.f64 (*.f64 (cos.f64 B) x) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (*.f64 (cos.f64 B) x) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) 1) (/.f64 x (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (cos.f64 B) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) 1) (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 x (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 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(expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x)) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 B) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (*.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cos.f64 B) x) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x 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#<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cos.f64 B) x) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (neg.f64 (/.f64 x (tan.f64 B))))) (cbrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) (*.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cos.f64 B) x) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))))

simplify59.0ms (0.6%)

Algorithm
egg-herbie
Rules
773×sub-neg_binary64
443×*-commutative_binary64
371×fma-def_binary64
310×associate--l+_binary64
305×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084599
1244517
2753453
33511436
46477436
Stop Event
node limit
Counts
376 → 378
Calls
Call 1
Inputs
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 31/15120 (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (*.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
Outputs
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (*.f64 B (*.f64 x -1/3)))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (*.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3))))
(fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 B (*.f64 x -1/3) (/.f64 x B)))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (fma.f64 -1/5040 x (*.f64 (*.f64 x -1/3) 1/120)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (fma.f64 x -1/5040 (*.f64 x -1/360)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 x (*.f64 B -1/3) (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/336))) (pow.f64 B 5) (*.f64 (*.f64 x -1/45) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 x (*.f64 B -1/3) (fma.f64 (+.f64 (*.f64 -1/6 (*.f64 x 1/45)) (*.f64 x 1/630)) (pow.f64 B 5) (*.f64 (*.f64 x -1/45) (pow.f64 B 3)))))
(+.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (+.f64 (*.f64 -1/6 (*.f64 x 1/45)) (*.f64 x 1/630)) (pow.f64 B 5) (*.f64 (*.f64 x -1/45) (pow.f64 B 3))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)
(*.f64 x (fma.f64 (*.f64 B -1/2) B 1))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (*.f64 B (*.f64 B -1/2))) x)
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 B 6)) (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4))) (*.f64 x (fma.f64 (*.f64 B -1/2) B 1)))
(*.f64 x (+.f64 (fma.f64 (*.f64 B -1/2) B 1) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4)))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 (+.f64 (*.f64 x -1/6) 1/6) (*.f64 1/2 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 (+.f64 (*.f64 x -1/6) 1/6) (*.f64 1/2 x)) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (*.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (*.f64 x 1/18)) (-.f64 7/360 (*.f64 x 1/24))))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 31/15120 (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (*.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 31/15120 (-.f64 (fma.f64 -1/6 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (fma.f64 -1/5040 x (*.f64 (*.f64 x -1/3) 1/120))) (*.f64 x -1/720))) (pow.f64 B 5) (fma.f64 (+.f64 (+.f64 (*.f64 x -1/6) 1/6) (*.f64 1/2 x)) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 -1/6 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (fma.f64 x -1/5040 (*.f64 x -1/360))) (-.f64 31/15120 (*.f64 x -1/720))) (+.f64 (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (*.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (*.f64 x 1/18)) (-.f64 7/360 (*.f64 x 1/24))))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (fma.f64 x 1/720 (+.f64 (*.f64 x -1/336) (fma.f64 -1/6 (*.f64 x -1/45) 31/15120))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 -1/6 (*.f64 x -1/45) 31/15120) (*.f64 x -1/630)) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)) (/.f64 (-.f64 1 x) B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) x)
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) x)
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

prune2.2s (21.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4114415
Fresh527
Picked101
Done000
Total4176423
Error
0b
Counts
423 → 6
Alt Table
StatusErrorProgram
12.5b
(*.f64 (-.f64 (sin.f64 B) (*.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (pow.f64 (sin.f64 B) -2))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
8.5b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
0.2b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
17.5b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
Compiler

Compiled 13162 to 5093 computations (61.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 B) x)
0.1b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))

series4.0ms (0%)

Counts
1 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
B
@0
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
1.0ms
B
@-inf
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
1.0ms
B
@inf
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.0ms
x
@0
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))

rewrite67.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
535×prod-diff_binary64
497×log-prod_binary64
385×exp-prod_binary64
273×pow-prod-down_binary64
257×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
119114
2259014
Stop Event
node limit
Counts
1 → 98
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
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(pow.f64 (sin.f64 B) -1/2) (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) 2) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3) (pow.f64 (sin.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 B))) (sqrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))))

simplify44.0ms (0.4%)

Algorithm
egg-herbie
Rules
759×unsub-neg_binary64
677×associate-+r+_binary64
539×sub-neg_binary64
384×distribute-rgt-in_binary64
351×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052442
1137404
2394400
31698338
46317338
Stop Event
node limit
Counts
114 → 110
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (*.f64 1/720 x) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (fma.f64 x -1/24 (*.f64 (-.f64 1 x) -1/120)) (+.f64 (*.f64 x -1/12) (*.f64 (-.f64 1 x) -1/36))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (+.f64 (*.f64 x 1/24) (*.f64 (+.f64 x -1) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (*.f64 1/720 x) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) B (fma.f64 (-.f64 (*.f64 x 1/720) (fma.f64 1/120 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (fma.f64 -1/6 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (*.f64 (-.f64 1 x) -1/5040)))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (+.f64 (fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 (*.f64 x 1/720) (fma.f64 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) 1/120 (fma.f64 (-.f64 1 x) -1/5040 (*.f64 -1/6 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))))))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 (-.f64 (fma.f64 x -1/24 (*.f64 (-.f64 1 x) -1/120)) (+.f64 (*.f64 x -1/12) (*.f64 (-.f64 1 x) -1/36))) (pow.f64 B 3) (fma.f64 (-.f64 (*.f64 x 1/720) (fma.f64 (-.f64 1 x) -1/5040 (fma.f64 -1/6 (-.f64 (fma.f64 x -1/24 (*.f64 (-.f64 1 x) -1/120)) (+.f64 (*.f64 x -1/12) (*.f64 (-.f64 1 x) -1/36))) (+.f64 (*.f64 (-.f64 1 x) 1/720) (*.f64 x 1/240))))) (pow.f64 B 5) (*.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x)))))) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 (+.f64 (-.f64 (*.f64 x -1/360) (*.f64 (-.f64 1 x) 1/840)) (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) 1/6)) (pow.f64 B 5)) (fma.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))))
(+.f64 (*.f64 (+.f64 (+.f64 (*.f64 x -1/360) (*.f64 (+.f64 x -1) 1/840)) (*.f64 (+.f64 (*.f64 x 1/24) (*.f64 (+.f64 x -1) -7/360)) 1/6)) (pow.f64 B 5)) (fma.f64 (+.f64 (*.f64 x 1/24) (*.f64 (+.f64 x -1) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))

prune287.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1350135
Fresh055
Picked011
Done000
Total1356141
Error
0b
Counts
141 → 6
Alt Table
StatusErrorProgram
12.5b
(*.f64 (-.f64 (sin.f64 B) (*.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (pow.f64 (sin.f64 B) -2))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
8.5b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
0.2b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
17.5b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
Compiler

Compiled 4097 to 1772 computations (56.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
0.1b
(*.f64 x (sin.f64 B))
0.2b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))
0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))

series18.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
1.0ms
B
@0
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
1.0ms
B
@inf
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
1.0ms
B
@-inf
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
1.0ms
B
@0
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))

rewrite217.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
960×prod-diff_binary64
642×log-prod_binary64
245×fma-def_binary64
222×egg-rr
204×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0954
121054
2335054
Stop Event
node limit
Counts
4 → 432
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))
(*.f64 x (sin.f64 B))
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
Outputs
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fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 B))) 2)) (cbrt.f64 (*.f64 x (sin.f64 B))) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) (sin.f64 B) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 (sin.f64 B)) (tan.f64 B))))))))

simplify78.0ms (0.8%)

Algorithm
egg-herbie
Rules
901×distribute-rgt-in_binary64
544×fma-def_binary64
363×associate-+l+_binary64
300×associate-+r+_binary64
269×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01331869
13921840
211871441
352441329
Stop Event
node limit
Counts
528 → 482
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (+.f64 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (pow.f64 B 5) (-.f64 17/315 (+.f64 (*.f64 173/5040 (-.f64 1 x)) (+.f64 (*.f64 -1/5040 x) (+.f64 (*.f64 31/360 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (*.f64 1/6 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 31/360 (-.f64 1 x)) (*.f64 1/120 x)))))))))) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (+.f64 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))) (pow.f64 B 2)) 1) x)
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))) (pow.f64 B 2)) (+.f64 1 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/120 (-.f64 1 x)) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))))))) (pow.f64 B 4)))) x)
(-.f64 (+.f64 (*.f64 (-.f64 17/315 (+.f64 (*.f64 -1/6 (-.f64 2/15 (+.f64 (*.f64 1/120 (-.f64 1 x)) (+.f64 (*.f64 -1/6 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (*.f64 1/120 x))))) (+.f64 (*.f64 1/120 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 -1/5040 (-.f64 1 x)) (*.f64 -1/5040 x))))) (pow.f64 B 6)) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))) (pow.f64 B 2)) (+.f64 1 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/120 (-.f64 1 x)) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))))))) (pow.f64 B 4))))) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 1 (cos.f64 B))
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(*.f64 -1 x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 x B)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) x)) (*.f64 x B))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) x)) (*.f64 x B)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) x)) (+.f64 (*.f64 x B) (*.f64 -1/5040 (*.f64 (pow.f64 B 7) x)))))
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (-.f64 1 x) B)
(+.f64 (*.f64 (-.f64 1 x) B) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3)))
(+.f64 (*.f64 (-.f64 1 x) B) (+.f64 (*.f64 (-.f64 2/15 (*.f64 1/120 x)) (pow.f64 B 5)) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3))))
(+.f64 (*.f64 (-.f64 17/315 (*.f64 -1/5040 x)) (pow.f64 B 7)) (+.f64 (*.f64 (-.f64 1 x) B) (+.f64 (*.f64 (-.f64 2/15 (*.f64 1/120 x)) (pow.f64 B 5)) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3)))))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(/.f64 (sin.f64 B) (cos.f64 B))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (sin.f64 B) x))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(*.f64 -1 (*.f64 (sin.f64 B) x))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (-.f64 1/3 (fma.f64 x -1/6 (*.f64 (-.f64 1 x) 1/6))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (-.f64 1/3 (+.f64 1/6 (*.f64 x -1/3))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (+.f64 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6))) B (fma.f64 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6))) (fma.f64 1/120 x (*.f64 (-.f64 1 x) 31/360)))) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (-.f64 1/3 (fma.f64 x -1/6 (*.f64 (-.f64 1 x) 1/6))) (*.f64 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 x -1/6 (*.f64 (-.f64 1 x) 1/6))) (fma.f64 x 1/120 (*.f64 (-.f64 1 x) 31/360)))) (pow.f64 B 3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) (fma.f64 (-.f64 2/15 (fma.f64 1/6 (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) (fma.f64 x 1/120 (+.f64 31/360 (*.f64 x -31/360))))) (pow.f64 B 3) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (-.f64 1/3 (+.f64 1/6 (*.f64 x -1/3))) (fma.f64 (-.f64 (+.f64 7/90 (+.f64 1/36 (*.f64 (*.f64 x -1/3) 1/6))) (+.f64 31/360 (*.f64 x -7/90))) (pow.f64 B 3) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (pow.f64 B 5) (-.f64 17/315 (+.f64 (*.f64 173/5040 (-.f64 1 x)) (+.f64 (*.f64 -1/5040 x) (+.f64 (*.f64 31/360 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (*.f64 1/6 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 31/360 (-.f64 1 x)) (*.f64 1/120 x)))))))))) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (+.f64 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/6 (-.f64 1/3 (+.f64 (*.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (pow.f64 B 5) (-.f64 17/315 (fma.f64 173/5040 (-.f64 1 x) (fma.f64 -1/5040 x (fma.f64 31/360 (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6))) (*.f64 1/6 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6))) (fma.f64 1/120 x (*.f64 (-.f64 1 x) 31/360))))))))) (fma.f64 (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6))) B (fma.f64 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 1/6 (-.f64 1 x) (*.f64 x -1/6))) (fma.f64 1/120 x (*.f64 (-.f64 1 x) 31/360)))) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (-.f64 17/315 (fma.f64 (-.f64 1 x) 173/5040 (fma.f64 x -1/5040 (fma.f64 1/6 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 x -1/6 (*.f64 (-.f64 1 x) 1/6))) (fma.f64 x 1/120 (*.f64 (-.f64 1 x) 31/360)))) (*.f64 (-.f64 1/3 (fma.f64 x -1/6 (*.f64 (-.f64 1 x) 1/6))) 31/360))))) (+.f64 (fma.f64 B (-.f64 1/3 (fma.f64 x -1/6 (*.f64 (-.f64 1 x) 1/6))) (*.f64 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 x -1/6 (*.f64 (-.f64 1 x) 1/6))) (fma.f64 x 1/120 (*.f64 (-.f64 1 x) 31/360)))) (pow.f64 B 3))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (-.f64 (-.f64 11/560 (*.f64 x -173/5040)) (fma.f64 x -1/5040 (fma.f64 1/6 (-.f64 2/15 (fma.f64 1/6 (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) (fma.f64 x 1/120 (+.f64 31/360 (*.f64 x -31/360))))) (*.f64 (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) 31/360)))) (fma.f64 B (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) (fma.f64 (-.f64 2/15 (fma.f64 1/6 (+.f64 (*.f64 x 1/6) (-.f64 1/6 (*.f64 x -1/6))) (fma.f64 x 1/120 (+.f64 31/360 (*.f64 x -31/360))))) (pow.f64 B 3) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (-.f64 17/315 (+.f64 (fma.f64 1/6 (-.f64 (+.f64 7/90 (+.f64 1/36 (*.f64 (*.f64 x -1/3) 1/6))) (+.f64 31/360 (*.f64 x -7/90))) (+.f64 31/1080 (+.f64 -31/2160 (*.f64 (*.f64 x -1/3) -31/360)))) (+.f64 173/5040 (*.f64 x -29/840)))) (fma.f64 B (-.f64 1/3 (+.f64 1/6 (*.f64 x -1/3))) (fma.f64 (-.f64 (+.f64 7/90 (+.f64 1/36 (*.f64 (*.f64 x -1/3) 1/6))) (+.f64 31/360 (*.f64 x -7/90))) (pow.f64 B 3) (/.f64 (-.f64 1 x) B))))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (cos.f64 B) (/.f64 (pow.f64 (sin.f64 B) 2) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))))
(*.f64 (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) 2)) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (cos.f64 B) (/.f64 (pow.f64 (sin.f64 B) 2) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))))
(*.f64 (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) 2)) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (cos.f64 B) (/.f64 (pow.f64 (sin.f64 B) 2) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))))
(*.f64 (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) 2)) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (cos.f64 B) (/.f64 (pow.f64 (sin.f64 B) 2) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))))
(*.f64 (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) 2)) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (cos.f64 B) (/.f64 (pow.f64 (sin.f64 B) 2) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))))
(*.f64 (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) 2)) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (cos.f64 B) (/.f64 (pow.f64 (sin.f64 B) 2) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))))
(*.f64 (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) 2)) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (cos.f64 B) (/.f64 (pow.f64 (sin.f64 B) 2) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))))
(*.f64 (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) 2)) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (cos.f64 B) (/.f64 (pow.f64 (sin.f64 B) 2) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))))
(*.f64 (/.f64 (cos.f64 B) (pow.f64 (sin.f64 B) 2)) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))) (pow.f64 B 2)) 1) x)
(-.f64 (fma.f64 (-.f64 1/3 (*.f64 -1/6 (+.f64 (-.f64 1 x) x))) (*.f64 B B) 1) x)
(fma.f64 (+.f64 1/3 (*.f64 1/6 (-.f64 1 (-.f64 x x)))) (*.f64 B B) (-.f64 1 x))
(-.f64 (fma.f64 B (*.f64 B 1/2) 1) x)
(fma.f64 B (*.f64 B 1/2) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))) (pow.f64 B 2)) (+.f64 1 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/120 (-.f64 1 x)) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))))))) (pow.f64 B 4)))) x)
(-.f64 (+.f64 (fma.f64 (-.f64 1/3 (*.f64 -1/6 (+.f64 (-.f64 1 x) x))) (*.f64 B B) 1) (*.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 1/120 (-.f64 1 x) (fma.f64 -1/6 (-.f64 1/3 (*.f64 -1/6 (+.f64 (-.f64 1 x) x))) (*.f64 x 1/120)))))) x)
(-.f64 (fma.f64 (+.f64 1/3 (*.f64 1/6 (-.f64 1 (-.f64 x x)))) (*.f64 B B) (fma.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 (-.f64 1 x) 1/120 (fma.f64 -1/6 (+.f64 1/3 (*.f64 1/6 (-.f64 1 (-.f64 x x)))) (*.f64 x 1/120)))) 1)) x)
(-.f64 (fma.f64 B (*.f64 B 1/2) (fma.f64 (pow.f64 B 4) 5/24 1)) x)
(-.f64 (+.f64 (*.f64 (-.f64 17/315 (+.f64 (*.f64 -1/6 (-.f64 2/15 (+.f64 (*.f64 1/120 (-.f64 1 x)) (+.f64 (*.f64 -1/6 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (*.f64 1/120 x))))) (+.f64 (*.f64 1/120 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x)))) (+.f64 (*.f64 -1/5040 (-.f64 1 x)) (*.f64 -1/5040 x))))) (pow.f64 B 6)) (+.f64 (*.f64 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))) (pow.f64 B 2)) (+.f64 1 (*.f64 (-.f64 2/15 (+.f64 (*.f64 1/120 (-.f64 1 x)) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 1/3 (+.f64 (*.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))))))) (pow.f64 B 4))))) x)
(-.f64 (fma.f64 (-.f64 17/315 (fma.f64 -1/6 (-.f64 2/15 (fma.f64 1/120 (-.f64 1 x) (fma.f64 -1/6 (-.f64 1/3 (*.f64 -1/6 (+.f64 (-.f64 1 x) x))) (*.f64 x 1/120)))) (fma.f64 1/120 (-.f64 1/3 (*.f64 -1/6 (+.f64 (-.f64 1 x) x))) (*.f64 -1/5040 (+.f64 (-.f64 1 x) x))))) (pow.f64 B 6) (+.f64 (fma.f64 (-.f64 1/3 (*.f64 -1/6 (+.f64 (-.f64 1 x) x))) (*.f64 B B) 1) (*.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 1/120 (-.f64 1 x) (fma.f64 -1/6 (-.f64 1/3 (*.f64 -1/6 (+.f64 (-.f64 1 x) x))) (*.f64 x 1/120))))))) x)
(fma.f64 (-.f64 17/315 (fma.f64 -1/6 (-.f64 2/15 (fma.f64 (-.f64 1 x) 1/120 (fma.f64 -1/6 (+.f64 1/3 (*.f64 1/6 (-.f64 1 (-.f64 x x)))) (*.f64 x 1/120)))) (fma.f64 1/120 (+.f64 1/3 (*.f64 1/6 (-.f64 1 (-.f64 x x)))) (*.f64 -1/5040 (-.f64 1 (-.f64 x x)))))) (pow.f64 B 6) (-.f64 (fma.f64 (+.f64 1/3 (*.f64 1/6 (-.f64 1 (-.f64 x x)))) (*.f64 B B) (fma.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 (-.f64 1 x) 1/120 (fma.f64 -1/6 (+.f64 1/3 (*.f64 1/6 (-.f64 1 (-.f64 x x)))) (*.f64 x 1/120)))) 1)) x))
(-.f64 (fma.f64 B (*.f64 B 1/2) (fma.f64 61/720 (pow.f64 B 6) (fma.f64 (pow.f64 B 4) 5/24 1))) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 1 (cos.f64 B))
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 x B)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) x)) (*.f64 x B))
(fma.f64 -1/6 (*.f64 x (pow.f64 B 3)) (*.f64 x B))
(*.f64 x (+.f64 B (*.f64 -1/6 (pow.f64 B 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 B 3) B))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) x)) (*.f64 x B)))
(fma.f64 -1/6 (*.f64 x (pow.f64 B 3)) (fma.f64 1/120 (*.f64 x (pow.f64 B 5)) (*.f64 x B)))
(fma.f64 -1/6 (*.f64 x (pow.f64 B 3)) (*.f64 x (+.f64 (*.f64 1/120 (pow.f64 B 5)) B)))
(*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 B 3)) (fma.f64 1/120 (pow.f64 B 5) B)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 B 5) x)) (+.f64 (*.f64 x B) (*.f64 -1/5040 (*.f64 (pow.f64 B 7) x)))))
(fma.f64 -1/6 (*.f64 x (pow.f64 B 3)) (fma.f64 1/120 (*.f64 x (pow.f64 B 5)) (fma.f64 x B (*.f64 (*.f64 -1/5040 (pow.f64 B 7)) x))))
(fma.f64 -1/6 (*.f64 x (pow.f64 B 3)) (fma.f64 1/120 (*.f64 x (pow.f64 B 5)) (*.f64 x (+.f64 B (*.f64 -1/5040 (pow.f64 B 7))))))
(*.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 B 7) B) (fma.f64 -1/6 (pow.f64 B 3) (*.f64 1/120 (pow.f64 B 5)))))
(*.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 B 3) (*.f64 1/120 (pow.f64 B 5))) (fma.f64 -1/5040 (pow.f64 B 7) B)))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (sin.f64 B) x)
(*.f64 x (sin.f64 B))
(*.f64 (-.f64 1 x) B)
(+.f64 (*.f64 (-.f64 1 x) B) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3)))
(fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 1/6 x))))
(fma.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 x 1/6)) (*.f64 (-.f64 1 x) B))
(fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3)))
(+.f64 (*.f64 (-.f64 1 x) B) (+.f64 (*.f64 (-.f64 2/15 (*.f64 1/120 x)) (pow.f64 B 5)) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3))))
(fma.f64 (-.f64 1 x) B (fma.f64 (+.f64 2/15 (*.f64 -1/120 x)) (pow.f64 B 5) (*.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 1/6 x)))))
(fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 x 1/6)) (*.f64 (pow.f64 B 5) (+.f64 2/15 (*.f64 x -1/120)))))
(fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15))))
(+.f64 (*.f64 (-.f64 17/315 (*.f64 -1/5040 x)) (pow.f64 B 7)) (+.f64 (*.f64 (-.f64 1 x) B) (+.f64 (*.f64 (-.f64 2/15 (*.f64 1/120 x)) (pow.f64 B 5)) (*.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3)))))
(fma.f64 (+.f64 17/315 (*.f64 1/5040 x)) (pow.f64 B 7) (fma.f64 (-.f64 1 x) B (fma.f64 (+.f64 2/15 (*.f64 -1/120 x)) (pow.f64 B 5) (*.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 1/6 x))))))
(fma.f64 (pow.f64 B 7) (+.f64 17/315 (*.f64 x 1/5040)) (fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 x 1/6)) (*.f64 (pow.f64 B 5) (+.f64 2/15 (*.f64 x -1/120))))))
(fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 7) (fma.f64 x 1/5040 17/315) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15)))))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(/.f64 (sin.f64 B) (cos.f64 B))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (sin.f64 B) x))
(neg.f64 (*.f64 x (sin.f64 B)))
(*.f64 x (neg.f64 (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(*.f64 -1 (*.f64 (sin.f64 B) x))
(neg.f64 (*.f64 x (sin.f64 B)))
(*.f64 x (neg.f64 (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 -1 (*.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))

prune2.5s (24.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4784482
Fresh314
Picked011
Done011
Total4817488
Error
0b
Counts
488 → 7
Alt Table
StatusErrorProgram
0.5b
(/.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 B) (sin.f64 B))) (cbrt.f64 (/.f64 (tan.f64 B) (sin.f64 B)))) (cbrt.f64 (/.f64 (tan.f64 B) (sin.f64 B))) (neg.f64 (/.f64 x (/.f64 (sin.f64 B) (sin.f64 B))))) (tan.f64 B))
0.2b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
0.2b
(/.f64 (pow.f64 (/.f64 (sin.f64 B) (fma.f64 x (neg.f64 (sin.f64 B)) (tan.f64 B))) -1) (tan.f64 B))
0.2b
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
12.5b
(*.f64 (-.f64 (sin.f64 B) (*.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (pow.f64 (sin.f64 B) -2))
0.3b
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
Compiler

Compiled 19521 to 5182 computations (73.5% saved)

regimes37.0ms (0.4%)

Accuracy

Total -19.3b remaining (-17641%)

Threshold costs -19.3b (-17641%)

Counts
18 → 1
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 B) (sin.f64 B))) (cbrt.f64 (/.f64 (tan.f64 B) (sin.f64 B)))) (cbrt.f64 (/.f64 (tan.f64 B) (sin.f64 B))) (neg.f64 (/.f64 x (/.f64 (sin.f64 B) (sin.f64 B))))) (tan.f64 B))
(/.f64 (pow.f64 (/.f64 (sin.f64 B) (fma.f64 x (neg.f64 (sin.f64 B)) (tan.f64 B))) -1) (tan.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (sin.f64 B) (*.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (pow.f64 (sin.f64 B) -2))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 x (cbrt.f64 (tan.f64 B)))))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
(pow.f64 (/.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) -1)
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Results
10.0ms0.1bB
10.0ms0.1bx
11.0ms0.1b(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Compiler

Compiled 264 to 104 computations (60.6% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11314
21914
32314
42614
52714
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

end16.0ms (0.2%)

Stop Event
fuel
Compiler

Compiled 22 to 16 computations (27.3% saved)

Profiling

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