Details

Time bar (total: 12.2s)

analyze583.0ms (4.8%)

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)

sample2.3s (19%)

Results
1.0s2325×body1024valid
826.0ms4715×body256valid
375.0ms1205×body512valid
54.0ms338×body256invalid
8.0ms11×body2048valid
1.0msbody512invalid
1.0msbody1024invalid

preprocess79.0ms (0.6%)

Algorithm
egg-herbie
Rules
698×fma-def_binary64
260×fma-neg_binary64
199×associate-/r*_binary64
178×distribute-rgt-in_binary64
166×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01838
14128
29828
317328
427528
541728
652028
766528
882828
987728
1091728
11108228
12159428
13317028
14338828
15344828
16348428
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 (neg.f64 x) (/.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 (neg.f64 B) (/.f64 1 (tan.f64 x))) (/.f64 1 (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 B (tan.f64 x)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify16.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01119
12414
25314
39214
414514
521814
626914
734314
842514
944614
1045114
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)))

eval1.0ms (0%)

Compiler

Compiled 23 to 15 computations (34.8% saved)

prune1.0ms (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
Click to see full 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 25 to 19 computations (24% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
0.2b
(/.f64 1 (sin.f64 B))
0.2b
(/.f64 1 (tan.f64 B))
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
Compiler

Compiled 42 to 23 computations (45.2% saved)

series13.0ms (0.1%)

Counts
4 → 64
Calls

18 calls:

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

rewrite77.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
559×log-prod_binary64
394×fma-def_binary64
334×pow-prod-down_binary64
283×pow2_binary64
228×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
124032
2334032
Stop Event
node limit
Counts
4 → 196
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 (tan.f64 B)))
(/.f64 1 (tan.f64 B))
(/.f64 1 (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (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 0 (/.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 x (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 3)) (+.f64 0 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (*.f64 0 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(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 +.f64 0 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) (cbrt.f64 (pow.f64 (tan.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 B) -2)) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 B) -1/2) (pow.f64 (tan.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (tan.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 B))) 1))))))
((#(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 (pow.f64 (sin.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 B)) -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 (sqrt.f64 (sin.f64 B)) -2)))) (#(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 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 expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (/.f64 (pow.f64 (sin.f64 B) -2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sin.f64 B)) 0) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (+.f64 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simplify70.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
082946
1225913
2695893
33071889
47532889
Stop Event
node limit
Counts
260 → 232
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 -1/3 B) (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (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 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 (-.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)))
Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.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))))
(fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3))))
(fma.f64 B (*.f64 x -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B)))
(+.f64 (/.f64 x B) (*.f64 x (fma.f64 (pow.f64 B 3) -1/45 (*.f64 B -1/3))))
(+.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)))))
(fma.f64 -1 (*.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(-.f64 (-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3)))) (*.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) (pow.f64 B 5)))
(-.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 x (*.f64 (pow.f64 B 3) 1/45))))
(+.f64 (/.f64 x B) (fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (*.f64 x (fma.f64 (pow.f64 B 3) -1/45 (*.f64 B -1/3)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(fma.f64 -1/3 B (/.f64 1 B))
(fma.f64 B -1/3 (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (fma.f64 (pow.f64 B 5) -2/945 (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 5) -2/945 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.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 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.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)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.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)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 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 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 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 (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 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 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

localize13.0ms (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 x (tan.f64 B))
0.2b
(/.f64 1 (sin.f64 B))
Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite101.0ms (0.8%)

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
0920
119920
2291520
Stop Event
node limit
Counts
2 → 238
Calls
Call 1
Inputs
(/.f64 x (tan.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Outputs
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B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.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 fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (/.f64 (neg.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) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (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 fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.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 1 (tan.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 (/.f64 (neg.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)))) (pow.f64 (cbrt.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 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (sqrt.f64 (/.f64 (neg.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 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (*.f64 (/.f64 (neg.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 (tan.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 (/.f64 (neg.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)))) (pow.f64 (cbrt.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 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))))

simplify65.0ms (0.5%)

Algorithm
egg-herbie
Rules
683×sub-neg_binary64
520×distribute-rgt-in_binary64
506×distribute-lft-in_binary64
370×cancel-sign-sub-inv_binary64
348×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062784
1168751
2549731
32780729
47258729
Stop Event
node limit
Counts
286 → 260
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 (-.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 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (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)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.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))))
(fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(fma.f64 (neg.f64 (*.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (*.f64 B -1/3) x (/.f64 x B)))
(fma.f64 B (*.f64 x -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B)))
(+.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)))))
(fma.f64 -1 (*.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(fma.f64 (neg.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105))) (pow.f64 B 5) (fma.f64 (neg.f64 (*.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (*.f64 B -1/3) x (/.f64 x B))))
(-.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 (*.f64 x 1/45) (pow.f64 B 3))))
(fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (fma.f64 B (*.f64 x -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 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 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 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 (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 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 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.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 (cos.f64 B) (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 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 -1 (/.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) (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 -1 (/.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) (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 -1 (/.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) (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 -1 (/.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) (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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.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 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (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 -1 (/.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) (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 -1 (/.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) (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))))

eval213.0ms (1.7%)

Compiler

Compiled 11313 to 4841 computations (57.2% saved)

prune249.0ms (2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New50821529
Fresh000
Picked011
Done101
Total50922531
Error
0b
Counts
531 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
33.9b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
34.0b
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
0.2b
(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))
26.0b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
35.9b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
36.4b
(-.f64 (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
30.5b
(/.f64 1 (sin.f64 B))
35.8b
(/.f64 (-.f64 1 x) B)
27.5b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
34.0b
(*.f64 x (/.f64 (neg.f64 (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))
1.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
34.7b
(+.f64 (neg.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (tan.f64 B)))))) (/.f64 1 (sin.f64 B)))
35.9b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
25.4b
(-.f64 (/.f64 1 (sin.f64 B)) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3)))
14.3b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
0.2b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
20.2b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B)))
32.0b
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
Compiler

Compiled 543 to 404 computations (25.6% saved)

localize15.0ms (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 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
0.2b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))
Compiler

Compiled 42 to 8 computations (81% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
B
@0
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.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
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 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))

rewrite227.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0954
121054
2335854
Stop Event
node limit
Counts
4 → 432
Calls
Call 1
Inputs
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(*.f64 x (sin.f64 B))
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
Outputs
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(*.f64 x (neg.f64 (sin.f64 B)))) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (sin.f64 B)))) (sqrt.f64 (*.f64 x (sin.f64 B))) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (sin.f64 B)) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (-.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (fma.f64 (neg.f64 (sin.f64 B)) x (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (-.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (fma.f64 (*.f64 x (neg.f64 (sin.f64 B))) 1 (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (-.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (*.f64 x (sin.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (sin.f64 B)))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 B))) 2) (*.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))

simplify104.0ms (0.8%)

Algorithm
egg-herbie
Rules
902×distribute-rgt-in_binary64
544×fma-def_binary64
360×associate-+l+_binary64
300×associate-+r+_binary64
266×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01331869
13911840
211861441
352711329
Stop Event
node limit
Counts
528 → 482
Calls
Call 1
Inputs
(-.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 (-.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 (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 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)
(-.f64 (fma.f64 (+.f64 1/3 (*.f64 1/6 (+.f64 x (-.f64 1 x)))) (*.f64 B B) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 B B) 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)
(fma.f64 (+.f64 1/3 (*.f64 1/6 (+.f64 x (-.f64 1 x)))) (*.f64 B B) (-.f64 (fma.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 (-.f64 1 x) 1/120 (fma.f64 x 1/120 (*.f64 -1/6 (+.f64 1/3 (*.f64 1/6 (+.f64 x (-.f64 1 x)))))))) 1) x))
(-.f64 (fma.f64 1/2 (*.f64 B B) (fma.f64 (pow.f64 B 4) 5/24 1)) x)
(fma.f64 1/2 (*.f64 B B) (-.f64 (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 x 1/120 (*.f64 -1/6 (+.f64 1/3 (*.f64 1/6 (+.f64 x (-.f64 1 x)))))))) (fma.f64 (+.f64 1/3 (*.f64 1/6 (+.f64 x (-.f64 1 x)))) 1/120 (*.f64 -1/5040 (+.f64 x (-.f64 1 x)))))) (pow.f64 B 6) (fma.f64 (+.f64 1/3 (*.f64 1/6 (+.f64 x (-.f64 1 x)))) (*.f64 B B) (-.f64 (fma.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 (-.f64 1 x) 1/120 (fma.f64 x 1/120 (*.f64 -1/6 (+.f64 1/3 (*.f64 1/6 (+.f64 x (-.f64 1 x)))))))) 1) x)))
(-.f64 (fma.f64 1/2 (*.f64 B B) (fma.f64 61/720 (pow.f64 B 6) (fma.f64 (pow.f64 B 4) 5/24 1))) x)
(fma.f64 61/720 (pow.f64 B 6) (fma.f64 1/2 (*.f64 B B) (-.f64 (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 (-.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 (-.f64 1 x) 1/6 (*.f64 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))
(fma.f64 B (-.f64 1/3 (fma.f64 (-.f64 1 x) 1/6 (*.f64 x -1/6))) (+.f64 (*.f64 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 (-.f64 1 x) 1/6 (*.f64 x -1/6))) (fma.f64 (-.f64 1 x) 31/360 (*.f64 x 1/120)))) (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 (-.f64 1 x) 31/360 (fma.f64 1/6 (+.f64 (*.f64 x 1/6) (+.f64 1/6 (*.f64 x 1/6))) (*.f64 x 1/120)))) (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 1/6 (+.f64 1/6 (*.f64 x -1/3)))) (+.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 (-.f64 1 x) 1/6 (*.f64 x -1/6))) (fma.f64 (-.f64 1 x) 31/360 (*.f64 x 1/120)))) (*.f64 (-.f64 1/3 (fma.f64 (-.f64 1 x) 1/6 (*.f64 x -1/6))) 31/360))))) (fma.f64 B (-.f64 1/3 (fma.f64 (-.f64 1 x) 1/6 (*.f64 x -1/6))) (+.f64 (*.f64 (-.f64 2/15 (fma.f64 1/6 (-.f64 1/3 (fma.f64 (-.f64 1 x) 1/6 (*.f64 x -1/6))) (fma.f64 (-.f64 1 x) 31/360 (*.f64 x 1/120)))) (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 (-.f64 1 x) 31/360 (fma.f64 1/6 (+.f64 (*.f64 x 1/6) (+.f64 1/6 (*.f64 x 1/6))) (*.f64 x 1/120)))) (*.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 (-.f64 1 x) 31/360 (fma.f64 1/6 (+.f64 (*.f64 x 1/6) (+.f64 1/6 (*.f64 x 1/6))) (*.f64 x 1/120)))) (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 1/6 (+.f64 1/6 (*.f64 x -1/3)))) (+.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 1/6 (+.f64 1/6 (*.f64 x -1/3)))) (+.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 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))) (pow.f64 (sin.f64 B) 2))
(*.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 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))) (pow.f64 (sin.f64 B) 2))
(*.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 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))) (pow.f64 (sin.f64 B) 2))
(*.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 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))) (pow.f64 (sin.f64 B) 2))
(*.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 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))) (pow.f64 (sin.f64 B) 2))
(*.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 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))) (pow.f64 (sin.f64 B) 2))
(*.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 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))) (pow.f64 (sin.f64 B) 2))
(*.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 (*.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))) (pow.f64 (sin.f64 B) 2))
(*.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))
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(-.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 (/.f64 x (sin.f64 B)) (cos.f64 B)))
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(-.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 (/.f64 x (sin.f64 B)) (cos.f64 B)))
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(+.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 (/.f64 x (sin.f64 B)) (cos.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 (neg.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 (/.f64 x (sin.f64 B)) (cos.f64 B)))
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(+.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 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
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(-.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 (/.f64 x (sin.f64 B)) (cos.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 (neg.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (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 B (*.f64 1/120 (pow.f64 B 5)))))
(*.f64 x (+.f64 B (fma.f64 -1/6 (pow.f64 B 3) (*.f64 1/120 (pow.f64 B 5)))))
(+.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 -1/5040 (*.f64 x (pow.f64 B 7))))))
(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 (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 (-.f64 1 x) B (*.f64 (pow.f64 B 3) (-.f64 1/3 (*.f64 x -1/6))))
(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 5) (+.f64 2/15 (*.f64 x -1/120)) (*.f64 (pow.f64 B 3) (-.f64 1/3 (*.f64 x -1/6)))))
(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))))
(fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (fma.f64 (-.f64 1 x) B (*.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 5) (+.f64 2/15 (*.f64 x -1/120)) (*.f64 (pow.f64 B 3) (-.f64 1/3 (*.f64 x -1/6))))))
(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)))))
(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) (fma.f64 (-.f64 1 x) B (*.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 (sin.f64 B) (neg.f64 x))
(*.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 (sin.f64 B) (neg.f64 x))
(*.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)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 x) B)
Compiler

Compiled 13 to 8 computations (38.5% saved)

series7.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
4.0ms
B
@0
(/.f64 (-.f64 1 x) B)
1.0ms
x
@0
(/.f64 (-.f64 1 x) B)
1.0ms
x
@inf
(/.f64 (-.f64 1 x) B)
1.0ms
B
@inf
(/.f64 (-.f64 1 x) B)
0.0ms
B
@-inf
(/.f64 (-.f64 1 x) B)

rewrite53.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
756×pow1_binary64
706×add-log-exp_binary64
706×log1p-expm1-u_binary64
706×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217977
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 B) (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (-.f64 1 x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))))))

simplify24.0ms (0.2%)

Algorithm
egg-herbie
Rules
202×fma-def_binary64
125×fma-neg_binary64
44×cancel-sign-sub-inv_binary64
31×distribute-rgt-in_binary64
26×unsub-neg_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
09115
117106
225106
335106
448106
574106
6130106
7253106
849479
973279
1082979
1189579
Stop Event
saturated
Counts
45 → 38
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
Outputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
0.2b
(/.f64 1 (tan.f64 B))
0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
0.3b
(*.f64 1/6 B)
Compiler

Compiled 53 to 33 computations (37.7% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
B
@0
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
1.0ms
x
@0
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
1.0ms
B
@0
(*.f64 1/6 B)
0.0ms
B
@-inf
(*.f64 1/6 B)
0.0ms
B
@inf
(*.f64 1/6 B)

rewrite80.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
771×fma-def_binary64
686×log-prod_binary64
428×fma-neg_binary64
243×expm1-udef_binary64
243×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01322
129620
2426920
Stop Event
node limit
Counts
2 → 140
Calls
Call 1
Inputs
(*.f64 1/6 B)
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) B)) (cbrt.f64 (pow.f64 (exp.f64 1/6) B)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) B))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 B)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (-.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))) (/.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2) (-.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 1/6 B (/.f64 1 B)) 0) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))) 2) (cbrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))) (sqrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3)) (/.f64 1 (fma.f64 (fma.f64 1/6 B (/.f64 1 B)) (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))) (pow.f64 (/.f64 x (tan.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2)) (/.f64 1 (-.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/6 B (/.f64 1 B)) (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3)) (fma.f64 (fma.f64 1/6 B (/.f64 1 B)) (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))) (pow.f64 (/.f64 x (tan.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3)) (+.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (*.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2)) (-.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3))) (neg.f64 (fma.f64 (fma.f64 1/6 B (/.f64 1 B)) (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))) (pow.f64 (/.f64 x (tan.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2))) (neg.f64 (-.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 B (/.f64 x (tan.f64 B))) 3) (pow.f64 B -3)) (fma.f64 (fma.f64 1/6 B (/.f64 x (tan.f64 B))) (fma.f64 1/6 B (/.f64 x (tan.f64 B))) (-.f64 (pow.f64 B -2) (*.f64 (fma.f64 1/6 B (/.f64 x (tan.f64 B))) (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 1/6 B (/.f64 x (tan.f64 B))) (fma.f64 1/6 B (/.f64 x (tan.f64 B))) (neg.f64 (pow.f64 B -2))) (-.f64 (fma.f64 1/6 B (/.f64 x (tan.f64 B))) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (fma.f64 1/6 B 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simplify51.0ms (0.4%)

Algorithm
egg-herbie
Rules
516×cancel-sign-sub-inv_binary64
487×*-commutative_binary64
443×associate--l+_binary64
366×associate--r+_binary64
361×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053469
1138441
2358437
31498433
43303433
Stop Event
node limit
Counts
164 → 157
Calls
Call 1
Inputs
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 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 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 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 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
Outputs
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 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 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 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 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 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 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 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)))
(fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (fma.f64 17/315 x (fma.f64 -1/3 (*.f64 x 1/45) (*.f64 x -2/45))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (fma.f64 x 17/315 (fma.f64 x -2/45 (*.f64 x -1/135))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))) (*.f64 (fma.f64 x -1/135 (*.f64 x 1/105)) (pow.f64 B 5)))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (*.f64 x 2/945) (pow.f64 B 5)))))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 1/6 B (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 1/6 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (*.f64 1/6 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (*.f64 1/6 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 1/6 B (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (*.f64 1/6 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (*.f64 1/6 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (*.f64 1/6 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
0.2b
(/.f64 1 (sin.f64 B))
0.2b
(/.f64 (tan.f64 B) x)
0.3b
(/.f64 1 (/.f64 (tan.f64 B) x))
Compiler

Compiled 42 to 19 computations (54.8% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
B
@0
(/.f64 (tan.f64 B) x)
1.0ms
B
@inf
(/.f64 (tan.f64 B) x)
1.0ms
B
@-inf
(/.f64 (tan.f64 B) x)
0.0ms
x
@0
(/.f64 (tan.f64 B) x)
0.0ms
x
@-inf
(/.f64 (tan.f64 B) x)

rewrite128.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
547×log-prod_binary64
365×fma-def_binary64
339×pow-prod-down_binary64
287×pow2_binary64
240×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
124226
2348026
Stop Event
node limit
Counts
3 → 354
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (tan.f64 B) x))
(/.f64 (tan.f64 B) x)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (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 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (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 0 (/.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 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)) (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)))))) (#(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 (sqrt.f64 (/.f64 x (tan.f64 B))) (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)))))) 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(/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (neg.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (*.f64 -1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (neg.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (*.f64 -1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) (neg.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) 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(tan.f64 B) x) -2))) (cbrt.f64 (/.f64 x (tan.f64 B))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2))) (cbrt.f64 (/.f64 x (tan.f64 B))) (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (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 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (neg.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (*.f64 -1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (/.f64 1 (tan.f64 B))) x (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (/.f64 1 (tan.f64 B))) x (neg.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (/.f64 1 (tan.f64 B))) x (*.f64 -1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (/.f64 1 (tan.f64 B))) x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (/.f64 1 (tan.f64 B))) x (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x (neg.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x (*.f64 -1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))))

simplify77.0ms (0.6%)

Algorithm
egg-herbie
Rules
684×sub-neg_binary64
520×distribute-rgt-in_binary64
506×distribute-lft-in_binary64
378×fma-def_binary64
370×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0781082
12141047
26611027
330151025
476951025
Stop Event
node limit
Counts
426 → 385
Calls
Call 1
Inputs
(/.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 (*.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 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.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 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.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))))
(fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 x B))))
(-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 (*.f64 x 1/45) (pow.f64 B 3)))
(fma.f64 x (*.f64 B -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B)))
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(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.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 (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)) (/.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))))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (tan.f64 B))
0.2b
(/.f64 1 (sin.f64 B))
0.3b
(expm1.f64 (/.f64 1 (sin.f64 B)))
0.8b
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))
Compiler

Compiled 39 to 20 computations (48.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
B
@0
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))
0.0ms
B
@inf
(expm1.f64 (/.f64 1 (sin.f64 B)))
0.0ms
B
@-inf
(expm1.f64 (/.f64 1 (sin.f64 B)))
0.0ms
B
@0
(expm1.f64 (/.f64 1 (sin.f64 B)))
0.0ms
B
@inf
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))

rewrite45.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
500×pow1_binary64
481×add-sqr-sqrt_binary64
461×expm1-log1p-u_binary64
460×add-log-exp_binary64
460×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
111914
2129914
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))
(expm1.f64 (/.f64 1 (sin.f64 B)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 /.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((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)) (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 (/.f64 1 (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 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(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 cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3))))) (#(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 +.f64 (exp.f64 (/.f64 1 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (sqrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 1 (sin.f64 B))) (exp.f64 (/.f64 1 (sin.f64 B)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (/.f64 1 (sin.f64 B))) (exp.f64 (/.f64 1 (sin.f64 B)))) 1) (+.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))))

simplify171.0ms (1.4%)

Algorithm
egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
680×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023193
159193
2119193
3274193
4476193
5974193
61389193
72025193
82133193
92295193
102508193
112838193
123294193
133893193
144644193
155578193
166088193
176576193
186976193
197300193
207458193
Stop Event
node limit
Counts
66 → 50
Calls
Call 1
Inputs
(/.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 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
Outputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (/.f64 1 B))
(fma.f64 B (fma.f64 7/360 (*.f64 B B) 1/6) (/.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))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B))))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))
(fma.f64 31/15120 (pow.f64 B 5) (fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (/.f64 1 B)))
(fma.f64 B (fma.f64 7/360 (*.f64 B B) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))
(fma.f64 31/15120 (pow.f64 B 5) (fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))

eval651.0ms (5.3%)

Compiler

Compiled 33726 to 12606 computations (62.6% saved)

prune444.0ms (3.6%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1299201319
Fresh13316
Picked101
Done145
Total1314271341
Error
0b
Counts
1341 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
25.4b
(-.f64 (/.f64 1 (sin.f64 B)) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3)))
30.5b
(/.f64 1 (sin.f64 B))
46.2b
(/.f64 1 B)
0.3b
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
26.1b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
33.9b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
47.2b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x B))
35.9b
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
46.0b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
52.1b
(*.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (-.f64 1 x) (sqrt.f64 B)))
35.8b
(/.f64 (-.f64 1 x) B)
61.9b
(*.f64 1/6 B)
46.9b
(+.f64 (neg.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (tan.f64 B)))))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
35.9b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
34.0b
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
52.8b
(/.f64 (neg.f64 x) B)
35.7b
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
1.2b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
35.9b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
30.6b
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
0.2b
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
26.1b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
15.5b
(/.f64 (-.f64 1 x) (tan.f64 B))
0.2b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
33.9b
(/.f64 (neg.f64 x) (tan.f64 B))
35.9b
(*.f64 (/.f64 1 B) (-.f64 1 x))
Compiler

Compiled 567 to 423 computations (25.4% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 1 (cos.f64 B)) x)
0.1b
(/.f64 1 (cos.f64 B))
0.2b
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
Compiler

Compiled 28 to 14 computations (50% saved)

series8.0ms (0.1%)

Counts
3 → 44
Calls

15 calls:

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

rewrite193.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
633×prod-diff_binary64
497×log-prod_binary64
295×pow-prod-down_binary64
269×pow2_binary64
201×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
119829
2283529
Stop Event
node limit
Counts
3 → 327
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
(/.f64 1 (cos.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) x)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (/.f64 1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) 2) (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) 2) (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) 2) (cbrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (+.f64 (neg.f64 x) 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 fma.f64 (pow.f64 (cos.f64 B) -1/2) (pow.f64 (cos.f64 B) -1/2) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (/.f64 1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (sqrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (sqrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (sqrt.f64 (-.f64 (/.f64 1 (cos.f64 B)) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (/.f64 1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (cos.f64 B))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (cos.f64 B))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 B) -3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 B) -2) (fma.f64 x x (/.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 B) -3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 B) -2) (fma.f64 x x (/.f64 x (cos.f64 B))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 B) -3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 B) -2) (fma.f64 x x (/.f64 x (cos.f64 B))))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 B) -2) (*.f64 x x)) (/.f64 1 (+.f64 (/.f64 1 (cos.f64 B)) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 B) -2) (*.f64 x x)) (/.f64 1 (+.f64 (/.f64 1 (cos.f64 B)) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 B) -2) (*.f64 x x)) (/.f64 1 (+.f64 (/.f64 1 (cos.f64 B)) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (/.f64 1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (/.f64 1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) -2) (cbrt.f64 (/.f64 1 (cos.f64 B))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) -2) (cbrt.f64 (/.f64 1 (cos.f64 B))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 x)) (-.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 x)) (-.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 x)) (-.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (cos.f64 B)))))))

simplify91.0ms (0.7%)

Algorithm
egg-herbie
Rules
655×sub-neg_binary64
621×associate-*l*_binary64
519×associate-*r*_binary64
395×distribute-rgt-in_binary64
364×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073752
1191740
2548622
32218588
47379588
Stop Event
node limit
Counts
371 → 360
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 5/24 (+.f64 (*.f64 2/15 (-.f64 1 x)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x)))))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 61/720 (+.f64 (*.f64 17/315 (-.f64 1 x)) (+.f64 (*.f64 2/15 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x)))) (*.f64 1/3 (-.f64 5/24 (+.f64 (*.f64 2/15 (-.f64 1 x)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x)))))))))) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 5/24 (+.f64 (*.f64 2/15 (-.f64 1 x)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x)))))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (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))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 B 2)))
(+.f64 (*.f64 5/24 (pow.f64 B 4)) (+.f64 1 (*.f64 1/2 (pow.f64 B 2))))
(+.f64 (*.f64 5/24 (pow.f64 B 4)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 B 2)) (*.f64 61/720 (pow.f64 B 6)))))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 B 2))) x)
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 B 4)) (+.f64 1 (*.f64 1/2 (pow.f64 B 2)))) x)
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 B 4)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 B 2)) (*.f64 61/720 (pow.f64 B 6))))) 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 (*.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))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 1/2 (*.f64 -1/3 (-.f64 1 x)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (-.f64 1/6 (*.f64 x -1/3)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 5/24 (+.f64 (*.f64 2/15 (-.f64 1 x)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x)))))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/2 (*.f64 -1/3 (-.f64 1 x))) B (fma.f64 (-.f64 5/24 (fma.f64 2/15 (-.f64 1 x) (*.f64 1/3 (+.f64 1/2 (*.f64 -1/3 (-.f64 1 x)))))) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) (*.f64 (-.f64 5/24 (fma.f64 (-.f64 1 x) 2/15 (+.f64 1/6 (*.f64 (*.f64 (-.f64 1 x) -1/3) 1/3)))) (pow.f64 B 3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (fma.f64 (+.f64 (-.f64 1/24 (*.f64 (-.f64 1 x) -1/9)) (*.f64 (-.f64 1 x) -2/15)) (pow.f64 B 3) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (-.f64 1/6 (*.f64 x -1/3)) (fma.f64 (-.f64 1/24 (*.f64 (-.f64 1 x) 1/45)) (pow.f64 B 3) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 61/720 (+.f64 (*.f64 17/315 (-.f64 1 x)) (+.f64 (*.f64 2/15 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x)))) (*.f64 1/3 (-.f64 5/24 (+.f64 (*.f64 2/15 (-.f64 1 x)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x)))))))))) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 5/24 (+.f64 (*.f64 2/15 (-.f64 1 x)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (-.f64 1 x)))))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/2 (*.f64 -1/3 (-.f64 1 x))) B (fma.f64 (-.f64 61/720 (fma.f64 17/315 (-.f64 1 x) (fma.f64 2/15 (+.f64 1/2 (*.f64 -1/3 (-.f64 1 x))) (*.f64 1/3 (-.f64 5/24 (fma.f64 2/15 (-.f64 1 x) (*.f64 1/3 (+.f64 1/2 (*.f64 -1/3 (-.f64 1 x)))))))))) (pow.f64 B 5) (fma.f64 (-.f64 5/24 (fma.f64 2/15 (-.f64 1 x) (*.f64 1/3 (+.f64 1/2 (*.f64 -1/3 (-.f64 1 x)))))) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 B (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) (+.f64 (fma.f64 (-.f64 61/720 (fma.f64 (-.f64 1 x) 17/315 (fma.f64 1/3 (-.f64 5/24 (fma.f64 (-.f64 1 x) 2/15 (+.f64 1/6 (*.f64 (*.f64 (-.f64 1 x) -1/3) 1/3)))) (+.f64 1/15 (*.f64 (*.f64 (-.f64 1 x) -1/3) 2/15))))) (pow.f64 B 5) (*.f64 (-.f64 5/24 (fma.f64 (-.f64 1 x) 2/15 (+.f64 1/6 (*.f64 (*.f64 (-.f64 1 x) -1/3) 1/3)))) (pow.f64 B 3))) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (fma.f64 (-.f64 (-.f64 31/1008 (*.f64 x -17/315)) (fma.f64 1/3 (+.f64 (-.f64 1/24 (*.f64 (-.f64 1 x) -1/9)) (*.f64 (-.f64 1 x) -2/15)) (+.f64 1/15 (*.f64 (-.f64 1 x) -2/45)))) (pow.f64 B 5) (fma.f64 (+.f64 (-.f64 1/24 (*.f64 (-.f64 1 x) -1/9)) (*.f64 (-.f64 1 x) -2/15)) (pow.f64 B 3) (/.f64 (-.f64 1 x) B))))
(fma.f64 B (-.f64 1/6 (*.f64 x -1/3)) (fma.f64 (+.f64 (*.f64 (-.f64 1/24 (*.f64 (-.f64 1 x) 1/45)) -1/3) (-.f64 13/720 (*.f64 (-.f64 1 x) 1/105))) (pow.f64 B 5) (fma.f64 (-.f64 1/24 (*.f64 (-.f64 1 x) 1/45)) (pow.f64 B 3) (/.f64 (-.f64 1 x) B))))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.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 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.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 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (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)
(fma.f64 B (*.f64 B 1/2) 1)
(+.f64 (*.f64 5/24 (pow.f64 B 4)) (+.f64 1 (*.f64 1/2 (pow.f64 B 2))))
(fma.f64 5/24 (pow.f64 B 4) (+.f64 1 (*.f64 1/2 (*.f64 B B))))
(fma.f64 5/24 (pow.f64 B 4) (fma.f64 1/2 (*.f64 B B) 1))
(fma.f64 5/24 (pow.f64 B 4) (fma.f64 B (*.f64 B 1/2) 1))
(fma.f64 B (*.f64 B 1/2) (fma.f64 5/24 (pow.f64 B 4) 1))
(+.f64 (*.f64 5/24 (pow.f64 B 4)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 B 2)) (*.f64 61/720 (pow.f64 B 6)))))
(fma.f64 5/24 (pow.f64 B 4) (+.f64 1 (fma.f64 1/2 (*.f64 B B) (*.f64 61/720 (pow.f64 B 6)))))
(+.f64 (fma.f64 5/24 (pow.f64 B 4) (fma.f64 1/2 (*.f64 B B) 1)) (*.f64 61/720 (pow.f64 B 6)))
(fma.f64 5/24 (pow.f64 B 4) (fma.f64 B (*.f64 B 1/2) (fma.f64 61/720 (pow.f64 B 6) 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 (fma.f64 B (*.f64 B 1/2) 1) x)
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 B 4)) (+.f64 1 (*.f64 1/2 (pow.f64 B 2)))) x)
(-.f64 (fma.f64 5/24 (pow.f64 B 4) (+.f64 1 (*.f64 1/2 (*.f64 B B)))) x)
(-.f64 (fma.f64 5/24 (pow.f64 B 4) (fma.f64 1/2 (*.f64 B B) 1)) x)
(-.f64 (fma.f64 5/24 (pow.f64 B 4) (fma.f64 B (*.f64 B 1/2) 1)) x)
(-.f64 (fma.f64 B (*.f64 B 1/2) (fma.f64 5/24 (pow.f64 B 4) 1)) x)
(-.f64 (+.f64 (*.f64 5/24 (pow.f64 B 4)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 B 2)) (*.f64 61/720 (pow.f64 B 6))))) x)
(-.f64 (fma.f64 5/24 (pow.f64 B 4) (+.f64 1 (fma.f64 1/2 (*.f64 B B) (*.f64 61/720 (pow.f64 B 6))))) x)
(+.f64 (fma.f64 5/24 (pow.f64 B 4) 1) (-.f64 (fma.f64 61/720 (pow.f64 B 6) (*.f64 1/2 (*.f64 B B))) x))
(fma.f64 5/24 (pow.f64 B 4) (-.f64 (fma.f64 B (*.f64 B 1/2) (fma.f64 61/720 (pow.f64 B 6) 1)) x))
(-.f64 (fma.f64 5/24 (pow.f64 B 4) (fma.f64 B (*.f64 B 1/2) (fma.f64 61/720 (pow.f64 B 6) 1))) x)
(/.f64 1 (cos.f64 B))
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.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 1 (cos.f64 B)) x)
(+.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 1 (cos.f64 B)) x)
(+.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 1 (cos.f64 B)) x)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/6 B)
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1 x) B)
2.9b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
Compiler

Compiled 29 to 20 computations (31% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite78.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
656×prod-diff_binary64
440×fma-def_binary64
412×log-prod_binary64
246×pow-prod-down_binary64
234×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11917
229517
Stop Event
node limit
Counts
1 → 147
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (-.f64 1 x) B) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x B))) (sqrt.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 B))) (/.f64 (sqrt.f64 x) (sqrt.f64 B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) B) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 B) (-.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 1 x) B)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 2) (+.f64 (/.f64 (-.f64 1 x) B) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) B) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (-.f64 1 x) B)))) (/.f64 1 (+.f64 (/.f64 (-.f64 1 x) B) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 B (-.f64 1 x)) -2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 B)) 2) (cbrt.f64 (/.f64 1 B)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 B)) (sqrt.f64 (/.f64 1 B)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) -2) (/.f64 (-.f64 1 x) (cbrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 1 x) B)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 1) (-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 1) 1)))))

simplify42.0ms (0.3%)

Algorithm
egg-herbie
Rules
135×fma-def_binary64
118×fma-neg_binary64
27×div-sub_binary64
25×cancel-sign-sub-inv_binary64
21×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011247
122163
231163
348163
468163
5101163
6166163
7298163
8525163
9670163
10716163
Stop Event
saturated
Counts
171 → 152
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
Outputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (neg.f64 x) (tan.f64 B))
Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (neg.f64 x) (tan.f64 B))
1.0ms
B
@-inf
(/.f64 (neg.f64 x) (tan.f64 B))
1.0ms
B
@inf
(/.f64 (neg.f64 x) (tan.f64 B))
0.0ms
B
@0
(/.f64 (neg.f64 x) (tan.f64 B))
0.0ms
x
@inf
(/.f64 (neg.f64 x) (tan.f64 B))

rewrite55.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
593×pow1_binary64
547×add-log-exp_binary64
546×log1p-expm1-u_binary64
546×expm1-log1p-u_binary64
535×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11316
218726
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (tan.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 (+.f64 1 (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (tan.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (tan.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 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))))

simplify61.0ms (0.5%)

Algorithm
egg-herbie
Rules
832×cancel-sign-sub-inv_binary64
814×fma-neg_binary64
410×distribute-rgt-in_binary64
403×associate-+l+_binary64
394×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037349
199341
2282333
31066333
43780333
Stop Event
node limit
Counts
60 → 46
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))))
(+.f64 (*.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 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
Outputs
(*.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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 B x)))
(-.f64 (*.f64 x (*.f64 B 1/3)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/3 (*.f64 B x) (*.f64 (*.f64 x 1/45) (pow.f64 B 3))))
(-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (*.f64 x (*.f64 B 1/3))) (/.f64 x B))
(-.f64 (*.f64 x (+.f64 (*.f64 B 1/3) (*.f64 (pow.f64 B 3) 1/45))) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 x B))
(+.f64 (*.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 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)))))
(fma.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 (*.f64 x 1/45) -1/3))) (pow.f64 B 5) (fma.f64 -1 (/.f64 x B) (fma.f64 1/3 (*.f64 B x) (*.f64 (*.f64 x 1/45) (pow.f64 B 3)))))
(fma.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) (pow.f64 B 5) (-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (*.f64 x (*.f64 B 1/3))) (/.f64 x B)))
(-.f64 (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 x (+.f64 (*.f64 B 1/3) (*.f64 (pow.f64 B 3) 1/45)))) (/.f64 x B))
(fma.f64 x (+.f64 (*.f64 B 1/3) (*.f64 (pow.f64 B 3) 1/45)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (neg.f64 (/.f64 x B))))
(fma.f64 x (+.f64 (*.f64 B 1/3) (*.f64 (pow.f64 B 3) 1/45)) (-.f64 (*.f64 x (*.f64 (pow.f64 B 5) 2/945)) (/.f64 x 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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.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 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 x (sin.f64 B))
0.2b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series18.0ms (0.1%)

Counts
2 → 28
Calls

12 calls:

TimeVariablePointExpression
4.0ms
B
@-inf
(/.f64 x (sin.f64 B))
2.0ms
B
@-inf
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
2.0ms
B
@0
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
2.0ms
x
@0
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
2.0ms
B
@inf
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))

rewrite85.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
811×pow1_binary64
747×add-log-exp_binary64
746×log1p-expm1-u_binary64
746×expm1-log1p-u_binary64
730×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
116917
2231517
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(/.f64 x (sin.f64 B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (sin.f64 B) (cos.f64 B)))))) (#(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 x (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (cos.f64 B)) 1) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (cos.f64 B)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (cos.f64 B)) (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 (cos.f64 B) (/.f64 (sin.f64 B) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 B)) (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 B)) 3) (pow.f64 (cos.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 x (sin.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) 2) (cbrt.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sin.f64 B))) (sqrt.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 x (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 x (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 B))))))))

simplify82.0ms (0.7%)

Algorithm
egg-herbie
Rules
769×distribute-rgt-in_binary64
699×distribute-lft-in_binary64
447×fma-def_binary64
382×distribute-rgt-neg-in_binary64
354×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067501
1219457
2844421
33952413
Stop Event
node limit
Counts
84 → 73
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (*.f64 -1 (*.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 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (+.f64 (*.f64 -1 (*.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 -1 (*.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 x B)
(+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B))
(+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 B 5) (+.f64 (*.f64 1/720 x) (+.f64 (*.f64 -1/5040 x) (*.f64 1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))))))) (+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))))))
Outputs
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 B (*.f64 x -1/3))))
(-.f64 (*.f64 B (*.f64 (neg.f64 x) -1/3)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (*.f64 -1 (*.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)))))
(fma.f64 -1 (/.f64 x B) (*.f64 -1 (+.f64 (*.f64 B (*.f64 x -1/3)) (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))
(-.f64 (neg.f64 (fma.f64 B (*.f64 x -1/3) (*.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3)))) (/.f64 x B))
(-.f64 (*.f64 (*.f64 x -1/45) (neg.f64 (pow.f64 B 3))) (fma.f64 B (*.f64 x -1/3) (/.f64 x B)))
(-.f64 (*.f64 (pow.f64 B 3) (*.f64 x 1/45)) (fma.f64 B (*.f64 x -1/3) (/.f64 x B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (+.f64 (*.f64 -1 (*.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 -1 (*.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))))))
(fma.f64 -1 (/.f64 x B) (fma.f64 -1 (*.f64 B (*.f64 x -1/3)) (fma.f64 -1 (*.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)) (neg.f64 (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))))
(-.f64 (-.f64 (neg.f64 (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 B (*.f64 x -1/3))) (/.f64 x B))
(-.f64 (-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) (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 (*.f64 B (*.f64 x 1/3)) (/.f64 x B)) (fma.f64 (+.f64 (*.f64 x 1/630) (*.f64 -1/6 (*.f64 x 1/45))) (pow.f64 B 5) (*.f64 (*.f64 x -1/45) (pow.f64 B 3))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 x B)
(+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B))
(fma.f64 1/6 (*.f64 B x) (/.f64 x B))
(fma.f64 B (*.f64 x 1/6) (/.f64 x B))
(+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))))))
(+.f64 (fma.f64 1/6 (*.f64 B x) (/.f64 x B)) (neg.f64 (*.f64 (pow.f64 B 3) (*.f64 x -7/360))))
(-.f64 (fma.f64 1/6 (*.f64 B x) (/.f64 x B)) (*.f64 x (*.f64 -7/360 (pow.f64 B 3))))
(fma.f64 B (*.f64 x 1/6) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 B 5) (+.f64 (*.f64 1/720 x) (+.f64 (*.f64 -1/5040 x) (*.f64 1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))))))) (+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))))))
(fma.f64 -1 (*.f64 (pow.f64 B 5) (fma.f64 1/720 x (fma.f64 -1/5040 x (*.f64 1/6 (*.f64 x -7/360))))) (+.f64 (fma.f64 1/6 (*.f64 B x) (/.f64 x B)) (neg.f64 (*.f64 (pow.f64 B 3) (*.f64 x -7/360)))))
(-.f64 (-.f64 (fma.f64 1/6 (*.f64 B x) (/.f64 x B)) (*.f64 x (*.f64 -7/360 (pow.f64 B 3)))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x -7/2160) (*.f64 x 1/840))))
(-.f64 (fma.f64 B (*.f64 x 1/6) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B))) (*.f64 (pow.f64 B 5) (*.f64 x -31/15120)))
(fma.f64 B (*.f64 x 1/6) (fma.f64 (pow.f64 B 5) (*.f64 x 31/15120) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B))))

eval439.0ms (3.6%)

Compiler

Compiled 15977 to 7590 computations (52.5% saved)

prune313.0ms (2.6%)

Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New66916685
Fresh81018
Picked101
Done268
Total68032712
Error
0b
Counts
712 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
30.6b
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
30.5b
(/.f64 1 (sin.f64 B))
0.2b
(*.f64 (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
34.0b
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
26.1b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
52.8b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
53.4b
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 x B))
47.2b
(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x B))
35.9b
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
52.8b
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
46.0b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
35.8b
(/.f64 (-.f64 1 x) B)
52.8b
(/.f64 (neg.f64 x) B)
61.9b
(*.f64 1/6 B)
0.3b
(*.f64 (/.f64 1 (tan.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
35.9b
(/.f64 1 (/.f64 B (-.f64 1 x)))
0.2b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
41.9b
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
34.0b
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
34.0b
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
46.3b
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
35.9b
(*.f64 (/.f64 1 B) (-.f64 1 x))
35.9b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
15.5b
(/.f64 (-.f64 1 x) (tan.f64 B))
35.7b
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
46.2b
(/.f64 1 B)
39.9b
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))
0.2b
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
52.8b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
46.9b
(+.f64 (neg.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (tan.f64 B)))))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
33.9b
(/.f64 (neg.f64 x) (tan.f64 B))
Compiler

Compiled 679 to 499 computations (26.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 40 to 19 computations (52.5% saved)

series45.0ms (0.4%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
37.0ms
B
@0
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
1.0ms
B
@0
(*.f64 (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
1.0ms
B
@inf
(*.f64 (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
1.0ms
B
@-inf
(*.f64 (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
1.0ms
B
@inf
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))

rewrite161.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
608×prod-diff_binary64
569×log-prod_binary64
296×pow2_binary64
212×fma-def_binary64
207×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01033
121833
2312228
Stop Event
node limit
Counts
2 → 207
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
Outputs
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simplify76.0ms (0.6%)

Algorithm
egg-herbie
Rules
577×associate--l+_binary64
481×associate-*l*_binary64
448×associate-*r*_binary64
335×cancel-sign-sub-inv_binary64
309×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0861035
1233945
2742809
33644698
Stop Event
node limit
Counts
247 → 231
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (*.f64 1/24 (-.f64 1 x)) (+.f64 1/24 (+.f64 (*.f64 -1/6 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/720 (-.f64 1 x)) 1/720) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 (-.f64 1 x)) (+.f64 1/24 (+.f64 (*.f64 -1/6 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))))) (+.f64 (*.f64 1/120 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 (*.f64 1/24 (-.f64 1 x)) (+.f64 1/24 (+.f64 (*.f64 -1/6 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (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))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 5/24 (+.f64 (*.f64 -1/6 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 61/720 (+.f64 (*.f64 1/120 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x)))) (+.f64 (*.f64 -1/5040 (-.f64 1 x)) (*.f64 -1/6 (-.f64 5/24 (+.f64 (*.f64 -1/6 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))))))) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 5/24 (+.f64 (*.f64 -1/6 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)))) (/.f64 x B))
(/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(*.f64 -1 (/.f64 x (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 1/2 (-.f64 (*.f64 (-.f64 1 x) -1/2) (*.f64 (-.f64 1 x) -1/6)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 (-.f64 1 x) -1/3 1/2) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (*.f64 1/24 (-.f64 1 x)) (+.f64 1/24 (+.f64 (*.f64 -1/6 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/2 (-.f64 (*.f64 (-.f64 1 x) -1/2) (*.f64 (-.f64 1 x) -1/6))) B (fma.f64 (-.f64 (-.f64 (*.f64 (-.f64 1 x) 1/24) 1/24) (fma.f64 -1/6 (+.f64 1/2 (-.f64 (*.f64 (-.f64 1 x) -1/2) (*.f64 (-.f64 1 x) -1/6))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) (*.f64 (-.f64 (fma.f64 (-.f64 1 x) 1/24 -1/24) (fma.f64 -1/6 (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 (-.f64 1 x) -1/3 1/2) (fma.f64 (+.f64 1/24 (-.f64 (*.f64 x -1/24) (fma.f64 (-.f64 1 x) 1/120 (+.f64 -1/24 (*.f64 (-.f64 1 x) 1/18))))) (pow.f64 B 3) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 (-.f64 1 x) -1/3 1/2) (fma.f64 (-.f64 (+.f64 (*.f64 x -1/24) 0) (+.f64 -1/12 (*.f64 (-.f64 1 x) 23/360))) (pow.f64 B 3) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/720 (-.f64 1 x)) 1/720) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 (-.f64 1 x)) (+.f64 1/24 (+.f64 (*.f64 -1/6 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))))) (+.f64 (*.f64 1/120 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 (*.f64 1/24 (-.f64 1 x)) (+.f64 1/24 (+.f64 (*.f64 -1/6 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/2 (-.f64 (*.f64 (-.f64 1 x) -1/2) (*.f64 (-.f64 1 x) -1/6))) B (fma.f64 (-.f64 (fma.f64 -1/720 (-.f64 1 x) 1/720) (fma.f64 -1/6 (-.f64 (-.f64 (*.f64 (-.f64 1 x) 1/24) 1/24) (fma.f64 -1/6 (+.f64 1/2 (-.f64 (*.f64 (-.f64 1 x) -1/2) (*.f64 (-.f64 1 x) -1/6))) (*.f64 (-.f64 1 x) 1/120))) (fma.f64 1/120 (+.f64 1/2 (-.f64 (*.f64 (-.f64 1 x) -1/2) (*.f64 (-.f64 1 x) -1/6))) (*.f64 (-.f64 1 x) -1/5040)))) (pow.f64 B 5) (fma.f64 (-.f64 (-.f64 (*.f64 (-.f64 1 x) 1/24) 1/24) (fma.f64 -1/6 (+.f64 1/2 (-.f64 (*.f64 (-.f64 1 x) -1/2) (*.f64 (-.f64 1 x) -1/6))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 B (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) (+.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 1 x) -1/720 1/720) (fma.f64 -1/6 (-.f64 (fma.f64 (-.f64 1 x) 1/24 -1/24) (fma.f64 -1/6 (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) (*.f64 (-.f64 1 x) 1/120))) (fma.f64 (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) 1/120 (*.f64 (-.f64 1 x) -1/5040)))) (pow.f64 B 5) (*.f64 (-.f64 (fma.f64 (-.f64 1 x) 1/24 -1/24) (fma.f64 -1/6 (+.f64 1/2 (*.f64 (-.f64 1 x) -1/3)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3))) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 (-.f64 1 x) -1/3 1/2) (fma.f64 (-.f64 (+.f64 0 (*.f64 x 1/720)) (fma.f64 -1/6 (+.f64 1/24 (-.f64 (*.f64 x -1/24) (fma.f64 (-.f64 1 x) 1/120 (+.f64 -1/24 (*.f64 (-.f64 1 x) 1/18))))) (fma.f64 (-.f64 1 x) -1/5040 (+.f64 1/240 (*.f64 (-.f64 1 x) -1/360))))) (pow.f64 B 5) (fma.f64 (+.f64 1/24 (-.f64 (*.f64 x -1/24) (fma.f64 (-.f64 1 x) 1/120 (+.f64 -1/24 (*.f64 (-.f64 1 x) 1/18))))) (pow.f64 B 3) (/.f64 (-.f64 1 x) B))))
(fma.f64 B (fma.f64 (-.f64 1 x) -1/3 1/2) (fma.f64 (-.f64 (+.f64 (+.f64 (*.f64 (-.f64 1 x) 1/180) (+.f64 -1/144 (*.f64 -1/6 (+.f64 -1/12 (*.f64 (-.f64 1 x) 23/360))))) -1/360) (*.f64 (-.f64 1 x) -1/336)) (pow.f64 B 5) (fma.f64 (-.f64 (+.f64 (*.f64 x -1/24) 0) (+.f64 -1/12 (*.f64 (-.f64 1 x) 23/360))) (pow.f64 B 3) (/.f64 (-.f64 1 x) B))))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (-.f64 (/.f64 1 (cos.f64 B)) x)))
(*.f64 (/.f64 (cos.f64 B) (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 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 1/2 (*.f64 1/6 (-.f64 1 x)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 2/3 (*.f64 x -1/6)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 5/24 (+.f64 (*.f64 -1/6 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 5/24 (fma.f64 -1/6 (+.f64 1/2 (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 1/2 (*.f64 1/6 (-.f64 1 x))) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (pow.f64 B 3) (-.f64 5/24 (fma.f64 (-.f64 1 x) 1/120 (*.f64 -1/6 (+.f64 1/2 (*.f64 (-.f64 1 x) 1/6))))) (fma.f64 B (+.f64 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 3) (+.f64 (-.f64 7/24 (*.f64 (-.f64 1 x) -1/36)) (*.f64 (-.f64 1 x) -1/120)) (fma.f64 B (+.f64 2/3 (*.f64 x -1/6)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 3) (-.f64 7/24 (*.f64 (-.f64 1 x) -7/360)) (fma.f64 B (+.f64 2/3 (*.f64 x -1/6)) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (-.f64 61/720 (+.f64 (*.f64 1/120 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x)))) (+.f64 (*.f64 -1/5040 (-.f64 1 x)) (*.f64 -1/6 (-.f64 5/24 (+.f64 (*.f64 -1/6 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))))))) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 5/24 (+.f64 (*.f64 -1/6 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 61/720 (fma.f64 1/120 (+.f64 1/2 (*.f64 1/6 (-.f64 1 x))) (fma.f64 -1/5040 (-.f64 1 x) (*.f64 -1/6 (-.f64 5/24 (fma.f64 -1/6 (+.f64 1/2 (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))))))) (pow.f64 B 5) (fma.f64 (-.f64 5/24 (fma.f64 -1/6 (+.f64 1/2 (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 1/2 (*.f64 1/6 (-.f64 1 x))) B (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (-.f64 61/720 (fma.f64 1/120 (+.f64 1/2 (*.f64 (-.f64 1 x) 1/6)) (fma.f64 -1/6 (-.f64 5/24 (fma.f64 (-.f64 1 x) 1/120 (*.f64 -1/6 (+.f64 1/2 (*.f64 (-.f64 1 x) 1/6))))) (*.f64 (-.f64 1 x) -1/5040)))) (fma.f64 (pow.f64 B 3) (-.f64 5/24 (fma.f64 (-.f64 1 x) 1/120 (*.f64 -1/6 (+.f64 1/2 (*.f64 (-.f64 1 x) 1/6))))) (fma.f64 B (+.f64 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (-.f64 (-.f64 29/360 (*.f64 (-.f64 1 x) 1/720)) (fma.f64 -1/6 (+.f64 (-.f64 7/24 (*.f64 (-.f64 1 x) -1/36)) (*.f64 (-.f64 1 x) -1/120)) (+.f64 -1/5040 (*.f64 x 1/5040)))) (fma.f64 (pow.f64 B 3) (+.f64 (-.f64 7/24 (*.f64 (-.f64 1 x) -1/36)) (*.f64 (-.f64 1 x) -1/120)) (fma.f64 B (+.f64 2/3 (*.f64 x -1/6)) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 (-.f64 29/360 (*.f64 (-.f64 1 x) 1/840)) (*.f64 (-.f64 7/24 (*.f64 (-.f64 1 x) -7/360)) 1/6)) (fma.f64 (pow.f64 B 3) (-.f64 7/24 (*.f64 (-.f64 1 x) -7/360)) (fma.f64 B (+.f64 2/3 (*.f64 x -1/6)) (/.f64 (-.f64 1 x) B))))
(/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B)))
(/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 -1 (/.f64 x (sin.f64 B)) (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 -1 (/.f64 x (sin.f64 B)) (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 -1 (/.f64 x (sin.f64 B)) (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (cos.f64 B) (sin.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)))
(neg.f64 (/.f64 x (sin.f64 B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 -1 (/.f64 x (sin.f64 B)) (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 -1 (/.f64 x (sin.f64 B)) (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 -1 (/.f64 x (sin.f64 B)) (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (cos.f64 B) (sin.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)))
(neg.f64 (/.f64 x (sin.f64 B)))
(/.f64 (neg.f64 x) (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 -1 (/.f64 x (sin.f64 B)) (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 -1 (/.f64 x (sin.f64 B)) (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))))
(fma.f64 -1 (/.f64 x (sin.f64 B)) (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (*.f64 (cos.f64 B) (sin.f64 B))) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B))

localize34.0ms (0.3%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
0.2b
(*.f64 B (*.f64 x 1/3))
0.4b
(*.f64 x 1/3)
Compiler

Compiled 25 to 13 computations (48% saved)

series7.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 B (*.f64 x 1/3))
1.0ms
B
@0
(*.f64 B (*.f64 x 1/3))
1.0ms
x
@0
(*.f64 B (*.f64 x 1/3))
0.0ms
x
@0
(*.f64 x 1/3)
0.0ms
x
@inf
(*.f64 x 1/3)

rewrite83.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
489×log-prod_binary64
367×prod-exp_binary64
358×exp-prod_binary64
315×pow-prod-down_binary64
302×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
118024
2255624
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(*.f64 x 1/3)
(*.f64 B (*.f64 x 1/3))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/3)))) (sqrt.f64 (log.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 1/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B)) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 1/3 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/3 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/3 B)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x B) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 1/3 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 1/3 B)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 1/3 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 1/3 B))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 1/3 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/3 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 1/3 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x B) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/3 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/3 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/3 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/3 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 B)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 1/3 B)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/3 B))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 1/3 B))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1) (log.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x 1/3)) (*.f64 (log.f64 B) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x 1/3)) 1) (*.f64 (log.f64 B) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 B) 1) (log.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 B) (*.f64 (log.f64 (*.f64 x 1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 B) 1) (*.f64 (log.f64 (*.f64 x 1/3)) 1)))))))
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#<rule egg-rr> (2) ((x fma.f64 (*.f64 B 1/3) x (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B 1/3) x (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x 1/3)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x 1/3)) (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3)) (*.f64 (neg.f64 (/.f64 x B)) 1))))))

simplify246.0ms (2%)

Algorithm
egg-herbie
Rules
702×fma-def_binary64
656×fma-neg_binary64
461×div-sub_binary64
417×associate-/l*_binary64
286×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023530
148509
297467
3232467
4409467
5676467
61131467
71721467
82510467
93322467
103710467
113872467
123902467
133910467
143976467
154401467
164483467
174485467
184487467
194497467
Stop Event
saturated
Counts
248 → 197
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 1/3 (*.f64 B x))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 1/3 (*.f64 B x))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
Outputs
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 x)
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 x B))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(/.f64 x (neg.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 1/3 (*.f64 B x))
(*.f64 1/3 (*.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/3 (*.f64 x B) (/.f64 (neg.f64 x) B))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
0.0b
(+.f64 1/6 (*.f64 1/3 x))
0.2b
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
0.4b
(*.f64 1/3 x)
Compiler

Compiled 54 to 36 computations (33.3% saved)

series19.0ms (0.2%)

Counts
4 → 33
Calls

18 calls:

TimeVariablePointExpression
2.0ms
B
@-inf
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
1.0ms
B
@0
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
1.0ms
B
@inf
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
1.0ms
B
@inf
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
1.0ms
x
@inf
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)

rewrite122.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
701×log-prod_binary64
692×fma-def_binary64
376×fma-neg_binary64
264×expm1-udef_binary64
264×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341
129832
2438232
Stop Event
node limit
Counts
4 → 250
Calls
Call 1
Inputs
(*.f64 1/3 x)
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(+.f64 1/6 (*.f64 1/3 x))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 1/3 x 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 x) B) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 B) (*.f64 (*.f64 1/3 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 B (*.f64 1/3 x)) (*.f64 B 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 B 1/6) (*.f64 B (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/3 x 1/6) B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/27 (pow.f64 x 3) 1/216) B) (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x -1/6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/36 (pow.f64 (*.f64 1/3 x) 2)) B) (+.f64 1/6 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 B (fma.f64 1/27 (pow.f64 x 3) 1/216)) (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x -1/6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 B (-.f64 1/36 (pow.f64 (*.f64 1/3 x) 2))) (+.f64 1/6 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/3 x 1/6) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/3 x 1/6) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/3 x 1/6) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/3 x 1/6) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/3 x 1/6) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/3 x 1/6) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/3 x 1/6) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/3 x 1/6) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/3 x 1/6) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/3 x 1/6) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/3 x 1/6) B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 x) B (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 B (*.f64 (*.f64 1/3 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 B (*.f64 1/3 x) (*.f64 B 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 B 1/6 (*.f64 B (*.f64 1/3 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 -1/3 x))) (/.f64 (pow.f64 (*.f64 1/3 x) 2) (+.f64 1/6 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 x 1/6)) (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1/6)) 2) (cbrt.f64 (fma.f64 1/3 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 x 1/6)) (sqrt.f64 (fma.f64 1/3 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 x 3) 1/216) (/.f64 1 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x -1/6) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/36 (pow.f64 (*.f64 1/3 x) 2)) (/.f64 1 (+.f64 1/6 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x -1/6) 1/36) (fma.f64 1/27 (pow.f64 x 3) 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/6 (*.f64 -1/3 x)) (-.f64 1/36 (pow.f64 (*.f64 1/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 x 3) 1/216) (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x -1/6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 x 3) 1/216) (fma.f64 1/9 (*.f64 x x) (-.f64 1/36 (*.f64 1/18 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (pow.f64 (*.f64 1/3 x) 2)) (+.f64 1/6 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/27 (pow.f64 x 3) 1/216)) (neg.f64 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x -1/6) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/36 (pow.f64 (*.f64 1/3 x) 2))) (neg.f64 (+.f64 1/6 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/9 (*.f64 x x) -1/36) (fma.f64 1/3 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 x 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 x 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 x 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 x) 1 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 x)) (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) 1/6)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/3 x 1/6) B) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/3 x 1/6) B) (*.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (-.f64 (*.f64 (fma.f64 1/3 x 1/6) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 (-.f64 1 x) B)) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 (-.f64 1 x) B)) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 (-.f64 1 x) B)) (fma.f64 (neg.f64 (cbrt.f64 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(sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (cbrt.f64 (pow.f64 (/.f64 x B) 2)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (+.f64 (/.f64 (neg.f64 x) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 B -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 B -1/2) (sqrt.f64 (/.f64 x B))) (*.f64 (fma.f64 1/3 x 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x B) 2))) (cbrt.f64 (/.f64 x B)) (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 1/3 x 1/6) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 1/3 x 1/6) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (*.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 1/3 x 1/6) (sqrt.f64 B)) (sqrt.f64 B) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 1/3 x 1/6) (sqrt.f64 B)) (sqrt.f64 B) (*.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1/6)) 2)) (cbrt.f64 (fma.f64 1/3 x 1/6)) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1/6)) 2)) (cbrt.f64 (fma.f64 1/3 x 1/6)) (*.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (sqrt.f64 (fma.f64 1/3 x 1/6))) (sqrt.f64 (fma.f64 1/3 x 1/6)) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 B (sqrt.f64 (fma.f64 1/3 x 1/6))) (sqrt.f64 (fma.f64 1/3 x 1/6)) (*.f64 (/.f64 (-.f64 1 x) B) 1))))))

simplify375.0ms (3.1%)

Algorithm
egg-herbie
Rules
1232×fma-neg_binary64
777×fma-def_binary64
547×div-sub_binary64
458×associate-/l*_binary64
350×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033441
182380
2172332
3418332
4856332
51719332
63020332
73762332
84831332
95286332
105552332
115576332
126303332
136333332
146475332
156701332
166999332
177041332
187043332
197045332
207055332
217055332
Stop Event
saturated
Counts
283 → 267
Calls
Call 1
Inputs
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(*.f64 1/3 (*.f64 x B))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(*.f64 1/3 (*.f64 x B))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
1/6
(*.f64 1/3 x)
(*.f64 1/3 x)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (-.f64 1 x) B)
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
Outputs
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 x (*.f64 B 1/3))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(*.f64 1/3 (*.f64 x B))
(*.f64 1/3 (*.f64 B x))
(*.f64 x (*.f64 B 1/3))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (*.f64 1/6 B) (*.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
1/6
(*.f64 1/3 x)
(*.f64 1/3 x)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 x (-.f64 (*.f64 B 1/3) (/.f64 1 B)))
(*.f64 x (fma.f64 B 1/3 (/.f64 -1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(*.f64 x (-.f64 (*.f64 B 1/3) (/.f64 1 B)))
(*.f64 x (fma.f64 B 1/3 (/.f64 -1 B)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(/.f64 (-.f64 1 x) B)
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(fma.f64 1/6 B (*.f64 1/3 (*.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
0.2b
(/.f64 (tan.f64 B) x)
0.3b
(/.f64 1 (/.f64 (tan.f64 B) x))
0.3b
(*.f64 1/6 B)
Compiler

Compiled 53 to 29 computations (45.3% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
B
@0
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
1.0ms
B
@inf
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
1.0ms
x
@-inf
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
1.0ms
B
@-inf
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
1.0ms
x
@0
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))

rewrite84.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
674×log-prod_binary64
666×fma-def_binary64
365×fma-neg_binary64
245×expm1-udef_binary64
245×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01319
129816
2440316
Stop Event
node limit
Counts
1 → 120
Calls
Call 1
Inputs
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -1) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) -1) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (tan.f64 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2))) (cbrt.f64 (/.f64 x (tan.f64 B))) (fma.f64 B 1/6 (/.f64 1 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))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2))) (cbrt.f64 (/.f64 x (tan.f64 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (/.f64 1 (tan.f64 B))) x (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (+.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (sqrt.f64 B)) (sqrt.f64 B) (+.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 B 1/6 (/.f64 1 B)))))))

simplify71.0ms (0.6%)

Algorithm
egg-herbie
Rules
516×cancel-sign-sub-inv_binary64
500×*-commutative_binary64
443×associate--l+_binary64
364×associate--r+_binary64
361×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053469
1139441
2359437
31516433
43320433
Stop Event
node limit
Counts
144 → 138
Calls
Call 1
Inputs
(/.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 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 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 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.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 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)))
(fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (fma.f64 17/315 x (fma.f64 -1/3 (*.f64 x 1/45) (*.f64 x -2/45))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (fma.f64 x 17/315 (fma.f64 x -2/45 (*.f64 x -1/135))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))) (*.f64 (fma.f64 x 17/315 (*.f64 x -7/135)) (pow.f64 B 5)))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (*.f64 x 2/945) (pow.f64 B 5)))))
(*.f64 1/6 B)
(*.f64 B 1/6)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 1/6 B (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (*.f64 B 1/6) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (*.f64 B 1/6) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(*.f64 1/6 B)
(*.f64 B 1/6)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 1/6 B (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (*.f64 B 1/6) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (*.f64 B 1/6) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (neg.f64 x)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) (neg.f64 x)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))

eval509.0ms (4.2%)

Compiler

Compiled 26944 to 14114 computations (47.6% saved)

prune233.0ms (1.9%)

Pruning

32 alts after pruning (23 fresh and 9 done)

PrunedKeptTotal
New112171128
Fresh51621
Picked011
Done2810
Total1128321160
Error
0b
Counts
1160 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
30.6b
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
30.5b
(/.f64 1 (sin.f64 B))
34.0b
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
26.1b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
52.8b
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
52.8b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
46.0b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
53.4b
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 x B))
30.6b
(*.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (cos.f64 B))
35.8b
(/.f64 (-.f64 1 x) B)
52.8b
(/.f64 (neg.f64 x) B)
61.9b
(*.f64 1/6 B)
0.3b
(*.f64 (/.f64 1 (tan.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
35.9b
(/.f64 1 (/.f64 B (-.f64 1 x)))
0.2b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
41.9b
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
34.0b
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
62.3b
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
35.7b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
34.0b
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
52.8b
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
46.3b
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
35.9b
(*.f64 (/.f64 1 B) (-.f64 1 x))
46.2b
(/.f64 1 B)
15.5b
(/.f64 (-.f64 1 x) (tan.f64 B))
39.9b
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))
0.2b
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
35.9b
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
52.8b
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
46.9b
(+.f64 (neg.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (tan.f64 B)))))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
33.9b
(/.f64 (neg.f64 x) (tan.f64 B))
Compiler

Compiled 358 to 264 computations (26.3% saved)

regimes244.0ms (2%)

Counts
66 → 1
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 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 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.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 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (/.f64 1 (tan.f64 B)) (-.f64 (/.f64 1 (cos.f64 B)) x))
(*.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (-.f64 1 x) (sqrt.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 1 (*.f64 (sin.f64 B) (cos.f64 B))) (cos.f64 B))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x B))
(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (sin.f64 B)) (cos.f64 B))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (tan.f64 B)))))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
(-.f64 (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (log1p.f64 (expm1.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)))) 3)
(-.f64 (/.f64 1 (sin.f64 B)) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(+.f64 (neg.f64 (*.f64 x (exp.f64 (neg.f64 (log.f64 (tan.f64 B)))))) (/.f64 1 (sin.f64 B)))
Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

89.0ms
B
62.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
58.0ms
x
Results
ErrorSegmentsBranch
0.1b1B
0.1b1x
0.1b1(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Compiler

Compiled 672 to 369 computations (45.1% saved)

regimes150.0ms (1.2%)

Counts
45 → 1
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 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 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.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 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
Outputs
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
Calls

2 calls:

105.0ms
x
23.0ms
B
Results
ErrorSegmentsBranch
0.2b1B
0.2b1x
Compiler

Compiled 418 to 246 computations (41.1% saved)

regimes328.0ms (2.7%)

Counts
43 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 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 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
Outputs
(/.f64 (-.f64 1 x) (tan.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B)))
(/.f64 (-.f64 1 x) (tan.f64 B))
Calls

2 calls:

223.0ms
B
92.0ms
x
Results
ErrorSegmentsBranch
12.8b4B
1.4b3x
Compiler

Compiled 400 to 238 computations (40.5% saved)

bsearch149.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
86.0ms
0.0004292820693307226
0.5780207442592606
63.0ms
-250950.48818132392
-0.11651659860692067
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes174.0ms (1.4%)

Counts
33 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 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 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
Outputs
(/.f64 (-.f64 1 x) (tan.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
Calls

2 calls:

107.0ms
B
56.0ms
x
Results
ErrorSegmentsBranch
12.8b4B
1.5b3x
Compiler

Compiled 301 to 187 computations (37.9% saved)

bsearch233.0ms (1.9%)

Algorithm
binary-search
Steps
TimeLeftRight
110.0ms
5.3854096834024e-19
8.31527363976319e-13
122.0ms
-3.133766120598125e-5
-9.447306886371395e-7
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes155.0ms (1.3%)

Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 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 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
Outputs
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
Calls

2 calls:

101.0ms
B
45.0ms
x
Results
ErrorSegmentsBranch
13.4b6B
2.5b3x
Compiler

Compiled 282 to 177 computations (37.2% saved)

bsearch122.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
61.0ms
0.5780207442592606
18.821486917759
61.0ms
-250950.48818132392
-0.11651659860692067
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes163.0ms (1.3%)

Counts
29 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 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 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
Outputs
(/.f64 1 (sin.f64 B))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
Calls

2 calls:

81.0ms
x
73.0ms
B
Results
ErrorSegmentsBranch
20.1b3B
20.3b3x
Compiler

Compiled 277 to 175 computations (36.8% saved)

bsearch106.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
61.0ms
0.2648088307626092
1385073913920649.3
44.0ms
-30524412289036350.0
-4634615556581.112
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes74.0ms (0.6%)

Counts
27 → 1
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (*.f64 B (*.f64 x (+.f64 (*.f64 (*.f64 B B) 1/45) 1/3))) (/.f64 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 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (-.f64 1 x))) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
Outputs
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
Calls

2 calls:

38.0ms
x
27.0ms
B
Results
ErrorSegmentsBranch
35.7b1B
35.7b1x
Compiler

Compiled 269 to 170 computations (36.8% saved)

regimes97.0ms (0.8%)

Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (+.f64 1/6 (*.f64 1/3 x)) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
Outputs
(/.f64 (-.f64 1 x) B)
Calls

2 calls:

71.0ms
x
18.0ms
B
Results
ErrorSegmentsBranch
35.8b1B
35.8b1x
Compiler

Compiled 108 to 70 computations (35.2% saved)

regimes62.0ms (0.5%)

Counts
5 → 3
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
Outputs
(/.f64 (neg.f64 x) B)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
Calls

2 calls:

32.0ms
B
27.0ms
x
Results
ErrorSegmentsBranch
46.2b1B
37.0b3x
Compiler

Compiled 25 to 14 computations (44% saved)

bsearch204.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
82.0ms
18.821486917759
724.2669221078663
122.0ms
-28548169.517780393
-250950.48818132392
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes9.0ms (0.1%)

Accuracy

Total -16.0b remaining (-34.7%)

Threshold costs -16.0b (-34.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 1 B)
(/.f64 1 B)
(*.f64 1/6 B)
Outputs
(/.f64 1 B)
Calls

2 calls:

4.0ms
x
4.0ms
B
Results
ErrorSegmentsBranch
46.2b1B
46.2b1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify20.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
063246
191244
2112244
3120244
4123244
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
(if (<=.f64 x -4311296558616083/17179869184) (/.f64 (-.f64 1 x) (tan.f64 B)) (if (<=.f64 x 7918856468376280/18446744073709551616) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (/.f64 (-.f64 1 x) (tan.f64 B))))
(if (<=.f64 x -4624622529082819/147573952589676412928) (/.f64 (-.f64 1 x) (tan.f64 B)) (if (<=.f64 x 699066144526333/1298074214633706907132624082305024) (/.f64 1 (sin.f64 B)) (/.f64 (-.f64 1 x) (tan.f64 B))))
(if (<=.f64 x -4311296558616083/17179869184) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 10662600738645700608/18446744073709551616) (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 B -30524412289036352) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 4884860729536116736/18446744073709551616) (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B))))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -122613454439530880/4294967296) (/.f64 (neg.f64 x) B) (if (<=.f64 x 5297777591836131/281474976710656) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(/.f64 1 B)
Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (tan.f64 B))
(if (<=.f64 x -4311296558616083/17179869184) (/.f64 (-.f64 1 x) (tan.f64 B)) (if (<=.f64 x 7918856468376280/18446744073709551616) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (/.f64 (-.f64 1 x) (tan.f64 B))))
(if (<=.f64 x -4311296558616083/17179869184) (/.f64 (-.f64 1 x) (tan.f64 B)) (if (<=.f64 x 989857058547035/2305843009213693952) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 (neg.f64 x) (/.f64 1 B))) (/.f64 (-.f64 1 x) (tan.f64 B))))
(if (<=.f64 x -4311296558616083/17179869184) (/.f64 (-.f64 1 x) (tan.f64 B)) (if (<=.f64 x 989857058547035/2305843009213693952) (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 B))) (/.f64 (-.f64 1 x) (tan.f64 B))))
(if (<=.f64 x -4624622529082819/147573952589676412928) (/.f64 (-.f64 1 x) (tan.f64 B)) (if (<=.f64 x 699066144526333/1298074214633706907132624082305024) (/.f64 1 (sin.f64 B)) (/.f64 (-.f64 1 x) (tan.f64 B))))
(if (<=.f64 x -4311296558616083/17179869184) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 10662600738645700608/18446744073709551616) (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 x -4311296558616083/17179869184) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 2603174008458423/4503599627370496) (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 B -30524412289036352) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 4884860729536116736/18446744073709551616) (-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B))))
(if (<=.f64 B -30524412289036352) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 2385185903093807/9007199254740992) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B (+.f64 1/6 (*.f64 x 1/3)))) (/.f64 x B)) (/.f64 1 (sin.f64 B))))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -122613454439530880/4294967296) (/.f64 (neg.f64 x) B) (if (<=.f64 x 5297777591836131/281474976710656) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(if (<=.f64 x -957917612808835/33554432) (/.f64 (neg.f64 x) B) (if (<=.f64 x 5297777591836131/281474976710656) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(/.f64 1 B)
Compiler

Compiled 183 to 123 computations (32.8% saved)

soundness29.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01119
12414
25314
39214
414514
521814
626914
734314
842514
944614
1045114
Stop Event
saturated
Compiler

Compiled 65 to 50 computations (23.1% saved)

end167.0ms (1.4%)

Compiler

Compiled 165 to 95 computations (42.4% saved)

Profiling

Loading profile data...