Details

Time bar (total: 6.5s)

analyze1.2s (18.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
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
35.1%55.2%9.7%13
35.9%53.4%10.7%14
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.7s (42%)

Results
1.4s2359×body1024valid
646.0ms4160×body128valid
469.0ms1206×body512valid
146.0ms528×body256valid
24.0ms165×body128invalid
3.0ms3×body2048valid
1.0ms2×body1024invalid
1.0ms2×body512invalid
Compiler

Compiled 30 to 24 computations (20% saved)

preprocess49.0ms (0.8%)

Algorithm
2×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
1×saturated
1×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)

simplify13.0ms (0.2%)

Algorithm
1×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
1×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
0.2b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
▶0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.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))
✓0.2b
(/.f64 x (tan.f64 B))

series12.0ms (0.2%)

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))
1.0ms
x
@inf
(/.f64 x (tan.f64 B))
1.0ms
B
@-inf
(/.f64 x (tan.f64 B))
1.0ms
B
@0
(/.f64 x (tan.f64 B))

rewrite91.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
785×prod-diff_binary64
184×expm1-udef_binary64
184×log1p-udef_binary64
174×egg-rr
105×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
119926
2291126
Stop Event
1×node limit
Counts
3 → 230
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 (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 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -1) (pow.f64 (sqrt.f64 (sin.f64 B)) -1))))) (#(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 (/.f64 1 (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 (pow.f64 (sin.f64 B) -3) 1/3)))) (#(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 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 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))))))
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(sqrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (tan.f64 B) (sin.f64 B)) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 B) -2) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3)) (+.f64 (pow.f64 (sin.f64 B) -2) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) (neg.f64 (*.f64 (tan.f64 B) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 B) -2) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2))) (neg.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) 1)) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (tan.f64 B)) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 3)) (+.f64 (pow.f64 (sin.f64 B) -2) (-.f64 (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.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 (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 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 fma.f64 1 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(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 expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(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))))))

simplify38.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
420×associate--l+_binary64
420×fma-def_binary64
330×cancel-sign-sub-inv_binary64
326×associate-+l+_binary64
283×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063830
1181817
2551799
32457797
Stop Event
1×node limit
Counts
282 → 259
Calls
Call 1
Inputs
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 x B)
(-.f64 (/.f64 x B) (*.f64 1/3 (*.f64 B x)))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (*.f64 1/3 (*.f64 B x))))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 1 B)
(+.f64 (/.f64 1 B) (*.f64 1/6 B))
(+.f64 (/.f64 1 B) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B)))
(+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
Outputs
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(-.f64 (/.f64 x B) (*.f64 1/3 (*.f64 B x)))
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B)))
(+.f64 (/.f64 x B) (*.f64 (*.f64 x B) -1/3))
(fma.f64 (*.f64 x B) -1/3 (/.f64 x B))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (*.f64 1/3 (*.f64 B x))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (*.f64 1/3 (*.f64 x B))))
(-.f64 (/.f64 x B) (*.f64 x (+.f64 (*.f64 1/45 (pow.f64 B 3)) (*.f64 B 1/3))))
(-.f64 (/.f64 x B) (*.f64 x (fma.f64 B 1/3 (*.f64 1/45 (pow.f64 B 3)))))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (*.f64 2/945 (*.f64 x (pow.f64 B 5))))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (*.f64 x (+.f64 (*.f64 2/945 (pow.f64 B 5)) (*.f64 B 1/3)))))
(-.f64 (/.f64 x B) (*.f64 x (+.f64 (fma.f64 2/945 (pow.f64 B 5) (*.f64 B 1/3)) (*.f64 1/45 (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (*.f64 x (-.f64 (*.f64 (pow.f64 B 3) -1/45) (fma.f64 B 1/3 (*.f64 2/945 (pow.f64 B 5))))))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 1 B)
(+.f64 (/.f64 1 B) (*.f64 1/6 B))
(+.f64 (/.f64 1 B) (*.f64 B 1/6))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (/.f64 1 B) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B)))
(+.f64 (/.f64 1 B) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))
(+.f64 (*.f64 (pow.f64 B 3) 7/360) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (/.f64 1 B)))
(+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))
(+.f64 (/.f64 1 B) (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6))))
(+.f64 (/.f64 1 B) (fma.f64 (pow.f64 B 5) 31/15120 (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))))
(fma.f64 (pow.f64 B 5) 31/15120 (fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (/.f64 1 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/3 (*.f64 x B) (*.f64 B 1/6)) (/.f64 x B)))
(+.f64 (fma.f64 B 1/6 (*.f64 x (*.f64 B 1/3))) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/3) 1/6)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))) (/.f64 x B)))
(+.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 x (fma.f64 B 1/3 (*.f64 1/45 (pow.f64 B 3))) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))) (/.f64 (-.f64 1 x) B))
(+.f64 (+.f64 (*.f64 B (+.f64 (*.f64 x 1/3) 1/6)) (*.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (*.f64 2/945 (*.f64 x (pow.f64 B 5)))))))) (/.f64 x B)))
(+.f64 (fma.f64 (pow.f64 B 5) 31/15120 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (*.f64 (pow.f64 B 5) (*.f64 x 2/945))))))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 (pow.f64 B 5) 31/15120 (fma.f64 x (fma.f64 B 1/3 (*.f64 1/45 (pow.f64 B 3))) (fma.f64 x (*.f64 2/945 (pow.f64 B 5)) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))))) (/.f64 (-.f64 1 x) B))
(+.f64 (+.f64 (+.f64 (*.f64 B (+.f64 (*.f64 x 1/3) 1/6)) (*.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120))) (/.f64 (-.f64 1 x) B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (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 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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))))

prune229.0ms (3.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New24910259
Fresh101
Picked101
Done000
Total25110261
Error
0.0b
Counts
261 → 10
Alt Table
StatusErrorProgram
25.2b
(*.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)))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
32.7b
(fma.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
11.4b
(*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (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 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
1.3b
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2))
32.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))
0.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B)))))
0.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B)))))
Compiler

Compiled 7725 to 3200 computations (58.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.2%)

Counts
3 → 52
Calls

18 calls:

TimeVariablePointExpression
3.0ms
B
@-inf
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
2.0ms
x
@inf
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
1.0ms
B
@inf
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
1.0ms
x
@0
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
1.0ms
B
@0
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))

rewrite99.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
818×prod-diff_binary64
194×log1p-udef_binary64
183×egg-rr
112×add-sqr-sqrt_binary64
109×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
121631
2302431
Stop Event
1×node limit
Counts
3 → 241
Calls
Call 1
Inputs
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 B) x) 1) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 B) x) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 B) x) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1))))))
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simplify40.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
474×fma-def_binary64
418×associate--l+_binary64
380×associate-*l*_binary64
330×cancel-sign-sub-inv_binary64
329×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067844
1194829
2596811
32632809
Stop Event
1×node limit
Counts
293 → 269
Calls
Call 1
Inputs
(/.f64 x B)
(-.f64 (/.f64 x B) (*.f64 1/3 (*.f64 B x)))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (*.f64 1/3 (*.f64 B x))))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 x B)
(+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B))
(+.f64 (*.f64 7/360 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)))
(+.f64 (*.f64 7/360 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 31/15120 (*.f64 (pow.f64 B 5) x)))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
Outputs
(/.f64 x B)
(-.f64 (/.f64 x B) (*.f64 1/3 (*.f64 B x)))
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B)))
(-.f64 (/.f64 x B) (*.f64 (*.f64 1/3 x) B))
(fma.f64 (*.f64 x B) -1/3 (/.f64 x B))
(fma.f64 (*.f64 x -1/3) B (/.f64 x B))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (*.f64 1/3 (*.f64 B x))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (*.f64 1/3 (*.f64 x B))))
(-.f64 (/.f64 x B) (*.f64 x (+.f64 (*.f64 B 1/3) (*.f64 1/45 (pow.f64 B 3)))))
(-.f64 (/.f64 x B) (*.f64 x (fma.f64 B 1/3 (*.f64 1/45 (pow.f64 B 3)))))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (*.f64 2/945 (*.f64 x (pow.f64 B 5))))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (*.f64 x (+.f64 (*.f64 2/945 (pow.f64 B 5)) (*.f64 B 1/3)))))
(-.f64 (/.f64 x B) (*.f64 x (+.f64 (*.f64 1/45 (pow.f64 B 3)) (fma.f64 B 1/3 (*.f64 2/945 (pow.f64 B 5))))))
(-.f64 (/.f64 x B) (*.f64 x (+.f64 (*.f64 1/45 (pow.f64 B 3)) (fma.f64 2/945 (pow.f64 B 5) (*.f64 B 1/3)))))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B))
(fma.f64 1/6 (*.f64 x B) (/.f64 x B))
(fma.f64 (*.f64 B 1/6) x (/.f64 x B))
(fma.f64 x (*.f64 B 1/6) (/.f64 x B))
(+.f64 (*.f64 7/360 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)))
(fma.f64 7/360 (*.f64 x (pow.f64 B 3)) (fma.f64 1/6 (*.f64 x B) (/.f64 x B)))
(+.f64 (/.f64 x B) (*.f64 x (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))))
(fma.f64 x (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)) (/.f64 x B))
(+.f64 (*.f64 7/360 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 31/15120 (*.f64 (pow.f64 B 5) x)))))
(fma.f64 7/360 (*.f64 x (pow.f64 B 3)) (+.f64 (fma.f64 1/6 (*.f64 x B) (/.f64 x B)) (*.f64 (*.f64 x (pow.f64 B 5)) 31/15120)))
(+.f64 (fma.f64 (*.f64 (pow.f64 B 5) 31/15120) x (/.f64 x B)) (*.f64 x (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))))
(fma.f64 x (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)) (fma.f64 x (*.f64 (pow.f64 B 5) 31/15120) (/.f64 x B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/3 (*.f64 x B) (*.f64 B 1/6)) (/.f64 x B)))
(+.f64 (fma.f64 B 1/6 (*.f64 (*.f64 1/3 x) B)) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/3) 1/6)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))) (/.f64 x B)))
(+.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 x (fma.f64 B 1/3 (*.f64 1/45 (pow.f64 B 3))) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))) (/.f64 (-.f64 1 x) B))
(+.f64 (+.f64 (*.f64 B (+.f64 (*.f64 x 1/3) 1/6)) (*.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (*.f64 2/945 (*.f64 x (pow.f64 B 5)))))))) (/.f64 x B)))
(+.f64 (fma.f64 (pow.f64 B 5) 31/15120 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 2/945 (*.f64 x (pow.f64 B 5)) (*.f64 B 1/6)))))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 (pow.f64 B 5) 31/15120 (fma.f64 x (fma.f64 B 1/3 (*.f64 1/45 (pow.f64 B 3))) (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 x (*.f64 2/945 (pow.f64 B 5)) (*.f64 B 1/6))))) (/.f64 (-.f64 1 x) B))
(+.f64 (+.f64 (+.f64 (*.f64 B (+.f64 (*.f64 x 1/3) 1/6)) (*.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120))) (/.f64 (-.f64 1 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 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.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 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

prune302.0ms (4.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2954299
Fresh459
Picked011
Done000
Total29910309
Error
0b
Counts
309 → 10
Alt Table
StatusErrorProgram
▶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 (sin.f64 B) x)))
1.3b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 3)
25.2b
(*.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)))))
32.7b
(fma.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))
11.4b
(*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.f64 B))))
0.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 x (cbrt.f64 (sin.f64 B))))))
✓0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
32.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))
25.5b
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) 2)))
Compiler

Compiled 9850 to 3135 computations (68.2% 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))

series21.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))
2.0ms
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 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
1.0ms
x
@0
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))

rewrite180.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
960×prod-diff_binary64
251×egg-rr
114×add-sqr-sqrt_binary64
113×*-un-lft-identity_binary64
113×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0954
121054
2335054
Stop Event
1×node limit
Counts
4 → 417
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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(+.f64 (tan.f64 B) (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 B) 3) (pow.f64 (*.f64 x (sin.f64 B)) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 B) 2) (*.f64 (*.f64 x (sin.f64 B)) (+.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 B) 2) (pow.f64 (*.f64 x (sin.f64 B)) 2))) (neg.f64 (+.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 B) 3) (pow.f64 (*.f64 x (neg.f64 (sin.f64 B))) 3)) (+.f64 (pow.f64 (tan.f64 B) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 (sin.f64 B))) (*.f64 x (neg.f64 (sin.f64 B)))) (*.f64 (tan.f64 B) (*.f64 x (neg.f64 (sin.f64 B)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 B) 2) (*.f64 (*.f64 x (neg.f64 (sin.f64 B))) (*.f64 x (neg.f64 (sin.f64 B))))) (-.f64 (tan.f64 B) (*.f64 x (neg.f64 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 B) (*.f64 x (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (cbrt.f64 (tan.f64 B)) (*.f64 x (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (tan.f64 B)) (*.f64 x (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))) 1))))))

simplify69.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
703×fma-def_binary64
648×fma-neg_binary64
552×associate-+l+_binary64
366×associate-+r+_binary64
270×associate--l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01151515
13401494
210941335
349971335
Stop Event
1×node limit
Counts
513 → 465
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 B 2))) x)
(-.f64 (+.f64 1 (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2)))) x)
(-.f64 (+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 B 6)) (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2))))) 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 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.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 (sin.f64 B) x)
(*.f64 x B)
(-.f64 (*.f64 B x) (*.f64 1/6 (*.f64 (pow.f64 B 3) x)))
(-.f64 (+.f64 (*.f64 B x) (*.f64 1/120 (*.f64 (pow.f64 B 5) x))) (*.f64 1/6 (*.f64 (pow.f64 B 3) x)))
(-.f64 (+.f64 (*.f64 B x) (*.f64 1/120 (*.f64 (pow.f64 B 5) x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 B 3) x)) (*.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 1/6 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (pow.f64 B 3)) B)) (*.f64 B x))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 2/15 (pow.f64 B 5)) (+.f64 (*.f64 1/3 (pow.f64 B 3)) B))) (+.f64 (*.f64 B x) (*.f64 1/120 (*.f64 (pow.f64 B 5) x))))
(-.f64 (+.f64 (*.f64 17/315 (pow.f64 B 7)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 2/15 (pow.f64 B 5)) (+.f64 (*.f64 1/3 (pow.f64 B 3)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 B 7) x)) B))))) (+.f64 (*.f64 B x) (*.f64 1/120 (*.f64 (pow.f64 B 5) 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 (/.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 (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 -1 (*.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 -1 (*.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))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/3 (*.f64 x B) (*.f64 B 1/6)) (/.f64 x B)))
(+.f64 (fma.f64 B 1/6 (*.f64 x (*.f64 B 1/3))) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/3) 1/6)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))) (/.f64 x B)))
(+.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 x (fma.f64 1/45 (pow.f64 B 3) (*.f64 B 1/3)) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (*.f64 (*.f64 2/945 (pow.f64 B 5)) x)))))) (/.f64 x B)))
(+.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (*.f64 x (*.f64 (pow.f64 B 5) 2/945))))))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 x (fma.f64 1/45 (pow.f64 B 3) (*.f64 B 1/3)) (fma.f64 x (*.f64 (pow.f64 B 5) 2/945) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))))) (/.f64 (-.f64 1 x) B))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (pow.f64 (sin.f64 B) 2)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (sin.f64 B)))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (pow.f64 (sin.f64 B) 2)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (sin.f64 B)))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (pow.f64 (sin.f64 B) 2)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (sin.f64 B)))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (/.f64 (pow.f64 (sin.f64 B) 2) (cos.f64 B)))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (pow.f64 (sin.f64 B) 2)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (sin.f64 B)))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (cos.f64 B)) (pow.f64 (sin.f64 B) 2))
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prune398.0ms (6.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4623465
Fresh358
Picked011
Done101
Total4669475
Error
0b
Counts
475 → 9
Alt Table
StatusErrorProgram
✓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 (sin.f64 B) x)))
1.3b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 3)
25.2b
(*.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)))))
0.3b
(pow.f64 (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))))) -1)
0.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 x (cbrt.f64 (sin.f64 B))))))
▶0.2b
(*.f64 (cos.f64 B) (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (sin.f64 B)))
25.5b
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) 2)))
11.4b
(*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (tan.f64 B))))
Compiler

Compiled 20272 to 5025 computations (75.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.2%)

Counts
4 → 76
Calls

21 calls:

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

rewrite125.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
707×prod-diff_binary64
215×egg-rr
200×expm1-udef_binary64
200×log1p-udef_binary64
116×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01148
124148
2318348
Stop Event
1×node limit
Counts
4 → 325
Calls
Call 1
Inputs
(*.f64 (cos.f64 B) (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (sin.f64 B))
(/.f64 1 (cos.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
Outputs
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egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 x)) (-.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 B) -2) (fma.f64 x x (/.f64 x (cos.f64 B)))) (-.f64 (pow.f64 (cos.f64 B) -3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (cos.f64 B)) x) (-.f64 (pow.f64 (cos.f64 B) -2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 B) -3) (pow.f64 x 3)) (+.f64 (pow.f64 (cos.f64 B) -2) (fma.f64 x x (/.f64 x (cos.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 B) -2) (*.f64 x x)) (+.f64 (/.f64 1 (cos.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 B) -3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 B) -2) (fma.f64 x x (/.f64 x (cos.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 B) -2) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 1 (cos.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 B) -3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 B) -2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 1 (cos.f64 B)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 B) -2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 1 (cos.f64 B)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (cos.f64 B)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 B) -2)) (/.f64 1 (cbrt.f64 (cos.f64 B))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cos.f64 B) -1/2) (pow.f64 (cos.f64 B) -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) 1))))))

simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
652×fma-neg_binary64
565×fma-def_binary64
439×associate-+l+_binary64
384×sub-neg_binary64
294×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01051157
12911138
29061029
342301029
Stop Event
1×node limit
Counts
401 → 367
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (*.f64 2/3 B)) (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 14/45 (pow.f64 B 3)) (*.f64 2/3 B))) (+.f64 (*.f64 7/360 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B))))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 124/945 (pow.f64 B 5)) (+.f64 (*.f64 14/45 (pow.f64 B 3)) (*.f64 2/3 B)))) (+.f64 (*.f64 7/360 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 31/15120 (*.f64 (pow.f64 B 5) x))))))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 B 2)))
(+.f64 1 (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2))))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 B 6)) (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2)))))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 B 2))) x)
(-.f64 (+.f64 1 (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2)))) x)
(-.f64 (+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 B 6)) (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2))))) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 1 (cos.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/3 (*.f64 x B) (*.f64 B 1/6)) (/.f64 x B)))
(+.f64 (fma.f64 1/3 (*.f64 x B) (*.f64 B 1/6)) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/3) 1/6)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))) (/.f64 x B)))
(+.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 x (fma.f64 1/45 (pow.f64 B 3) (*.f64 B 1/3)) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (*.f64 2/945 (*.f64 x (pow.f64 B 5)))))))) (/.f64 x B)))
(+.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (*.f64 x (*.f64 (pow.f64 B 5) 2/945))))))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 x (fma.f64 1/45 (pow.f64 B 3) (*.f64 B 1/3)) (fma.f64 x (*.f64 (pow.f64 B 5) 2/945) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))))) (/.f64 (-.f64 1 x) B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (cos.f64 B)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (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 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (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 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (*.f64 2/3 B)) (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)))
(+.f64 (/.f64 1 B) (-.f64 (*.f64 B 2/3) (fma.f64 1/6 (*.f64 x B) (/.f64 x B))))
(-.f64 (fma.f64 B 2/3 (/.f64 1 B)) (fma.f64 (*.f64 x B) 1/6 (/.f64 x B)))
(fma.f64 B 2/3 (-.f64 (/.f64 (-.f64 1 x) B) (*.f64 x (*.f64 B 1/6))))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 14/45 (pow.f64 B 3)) (*.f64 2/3 B))) (+.f64 (*.f64 7/360 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B))))
(-.f64 (+.f64 (/.f64 1 B) (fma.f64 14/45 (pow.f64 B 3) (*.f64 B 2/3))) (fma.f64 7/360 (*.f64 x (pow.f64 B 3)) (fma.f64 1/6 (*.f64 x B) (/.f64 x B))))
(-.f64 (+.f64 (/.f64 1 B) (fma.f64 B 2/3 (*.f64 (pow.f64 B 3) 14/45))) (+.f64 (/.f64 x B) (*.f64 x (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)))))
(-.f64 (fma.f64 B 2/3 (fma.f64 (pow.f64 B 3) 14/45 (/.f64 1 B))) (fma.f64 x (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)) (/.f64 x B)))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 124/945 (pow.f64 B 5)) (+.f64 (*.f64 14/45 (pow.f64 B 3)) (*.f64 2/3 B)))) (+.f64 (*.f64 7/360 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 31/15120 (*.f64 (pow.f64 B 5) x))))))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 124/945 (pow.f64 B 5) (fma.f64 14/45 (pow.f64 B 3) (*.f64 B 2/3))) (fma.f64 7/360 (*.f64 x (pow.f64 B 3)) (+.f64 (fma.f64 1/6 (*.f64 x B) (/.f64 x B)) (*.f64 31/15120 (*.f64 x (pow.f64 B 5)))))))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 (pow.f64 B 5) 124/945 (fma.f64 B 2/3 (*.f64 (pow.f64 B 3) 14/45))) (+.f64 (fma.f64 (*.f64 31/15120 (pow.f64 B 5)) x (/.f64 x B)) (*.f64 x (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))))))
(-.f64 (fma.f64 (pow.f64 B 5) 124/945 (fma.f64 B 2/3 (fma.f64 (pow.f64 B 3) 14/45 (/.f64 1 B)))) (fma.f64 x (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)) (fma.f64 x (*.f64 31/15120 (pow.f64 B 5)) (/.f64 x B))))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B)))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(-.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
1
(+.f64 1 (*.f64 1/2 (pow.f64 B 2)))
(+.f64 1 (*.f64 1/2 (*.f64 B B)))
(fma.f64 1/2 (*.f64 B B) 1)
(+.f64 1 (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2))))
(+.f64 1 (fma.f64 5/24 (pow.f64 B 4) (*.f64 1/2 (*.f64 B B))))
(+.f64 1 (fma.f64 1/2 (*.f64 B B) (*.f64 5/24 (pow.f64 B 4))))
(fma.f64 B (*.f64 B 1/2) (fma.f64 5/24 (pow.f64 B 4) 1))
(+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 B 6)) (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2)))))
(+.f64 1 (fma.f64 61/720 (pow.f64 B 6) (fma.f64 5/24 (pow.f64 B 4) (*.f64 1/2 (*.f64 B B)))))
(+.f64 (fma.f64 61/720 (pow.f64 B 6) (*.f64 5/24 (pow.f64 B 4))) (fma.f64 1/2 (*.f64 B B) 1))
(fma.f64 61/720 (pow.f64 B 6) (fma.f64 B (*.f64 B 1/2) (fma.f64 5/24 (pow.f64 B 4) 1)))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 B 2))) x)
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 B B)) x))
(-.f64 (fma.f64 1/2 (*.f64 B B) 1) x)
(-.f64 (+.f64 1 (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2)))) x)
(+.f64 1 (-.f64 (fma.f64 5/24 (pow.f64 B 4) (*.f64 1/2 (*.f64 B B))) x))
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 B B) (*.f64 5/24 (pow.f64 B 4))) x))
(-.f64 (fma.f64 B (*.f64 B 1/2) (fma.f64 5/24 (pow.f64 B 4) 1)) x)
(-.f64 (+.f64 1 (+.f64 (*.f64 61/720 (pow.f64 B 6)) (+.f64 (*.f64 5/24 (pow.f64 B 4)) (*.f64 1/2 (pow.f64 B 2))))) x)
(+.f64 1 (-.f64 (fma.f64 61/720 (pow.f64 B 6) (fma.f64 5/24 (pow.f64 B 4) (*.f64 1/2 (*.f64 B B)))) x))
(+.f64 (fma.f64 61/720 (pow.f64 B 6) (fma.f64 1/2 (*.f64 B B) (*.f64 5/24 (pow.f64 B 4)))) (-.f64 1 x))
(-.f64 (fma.f64 61/720 (pow.f64 B 6) (fma.f64 B (*.f64 B 1/2) (fma.f64 5/24 (pow.f64 B 4) 1))) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 1 (cos.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)
(-.f64 (/.f64 1 (cos.f64 B)) x)

prune332.0ms (5.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3652367
Fresh347
Picked011
Done011
Total3688376
Error
0b
Counts
376 → 8
Alt Table
StatusErrorProgram
0.3b
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
0.2b
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
✓0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
0.7b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 x (cbrt.f64 (sin.f64 B))))))
✓0.2b
(*.f64 (cos.f64 B) (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x)) (sin.f64 B)))
25.2b
(*.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)))))
25.5b
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) 2)))
11.4b
(*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (tan.f64 B))))
Compiler

Compiled 13403 to 5448 computations (59.4% saved)

regimes323.0ms (4.9%)

Accuracy

Total 0.1b remaining (90%)

Threshold costs 0.1b (90%)

Counts
171 → 1
Compiler

Compiled 2354 to 958 computations (59.3% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11717
22117
32417
42517
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 1 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
Outputs
(fma.f64 1 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))

end122.0ms (1.9%)

Stop Event
1×fuel
Compiler

Compiled 174 to 115 computations (33.9% saved)

Profiling

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