Details

Time bar (total: 11.1s)

analyze546.0ms (4.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
12.5%87.4%0.1%6
18.7%81.2%0.1%7
25%73.4%1.7%8
28.1%68.7%3.2%9
31.2%62.8%6%10
32.8%60.1%7.1%11
34.3%56.7%9%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.2s (20.2%)

Results
976.0ms2324×body1024valid
837.0ms4691×body256valid
361.0ms1232×body512valid
50.0ms331×body256invalid
6.0msbody2048valid
1.0msbody512invalid
0.0msbody1024invalid

preprocess91.0ms (0.8%)

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)

simplify17.0ms (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)

prune2.0ms (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)

localize20.0ms (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)))
0.1b
(/.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)

series14.0ms (0.1%)

Counts
4 → 64
Calls

18 calls:

TimeVariablePointExpression
3.0ms
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)))

rewrite78.0ms (0.7%)

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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simplify69.0ms (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))
0.1b
(/.f64 1 (sin.f64 B))
Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite101.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
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)))))))

simplify68.0ms (0.6%)

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))))

eval197.0ms (1.8%)

Compiler

Compiled 11313 to 4841 computations (57.2% saved)

prune176.0ms (1.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New51217529
Fresh000
Picked011
Done101
Total51318531
Error
0b
Counts
531 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
20.2b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
23.4b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
0.8b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
27.0b
(/.f64 1 (sin.f64 B))
15.0b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
0.2b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
17.4b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B)))
36.2b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
36.2b
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
33.1b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
23.3b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
33.6b
(-.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))
36.8b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
33.2b
(/.f64 (-.f64 1 x) B)
36.8b
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
Compiler

Compiled 475 to 338 computations (28.8% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 12 computations (66.7% saved)

series23.0ms (0.2%)

Counts
3 → 52
Calls

18 calls:

TimeVariablePointExpression
5.0ms
x
@0
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
2.0ms
B
@0
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
2.0ms
B
@-inf
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
1.0ms
B
@inf
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
1.0ms
B
@-inf
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

rewrite205.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
810×prod-diff_binary64
555×log-prod_binary64
285×pow2_binary64
241×fma-def_binary64
199×egg-rr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01036
121631
2303026
Stop Event
node limit
Counts
3 → 270
Calls
Call 1
Inputs
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(/.f64 x (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
Outputs
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fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (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 (neg.f64 x) (sin.f64 B)) (cos.f64 B) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) 2) (cbrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x 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B)))))))

simplify103.0ms (0.9%)

Algorithm
egg-herbie
Rules
552×fma-neg_binary64
516×fma-def_binary64
464×cancel-sign-sub-inv_binary64
369×unsub-neg_binary64
346×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088978
1274904
2982836
34784818
Stop Event
node limit
Counts
322 → 298
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 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(/.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 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)))))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 31/15120 (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (*.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
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(+.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.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))))
(+.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))))

localize13.0ms (0.1%)

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)

series6.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite198.0ms (1.8%)

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)))))))

simplify44.0ms (0.4%)

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)

localize34.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
0.1b
(/.f64 x (tan.f64 B))
0.4b
(*.f64 1/6 B)
Compiler

Compiled 37 to 21 computations (43.2% saved)

series19.0ms (0.2%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@0
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
1.0ms
B
@0
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
1.0ms
B
@-inf
(*.f64 1/6 B)
1.0ms
B
@inf
(*.f64 1/6 B)
1.0ms
x
@-inf
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))

rewrite141.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
601×log-prod_binary64
560×fma-def_binary64
334×pow2_binary64
317×fma-neg_binary64
228×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
125120
2374820
Stop Event
node limit
Counts
2 → 174
Calls
Call 1
Inputs
(*.f64 1/6 B)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) B)) 2)) (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 (*.f64 1/36 (*.f64 B B)))))) (#(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 (*.f64 1/6 B) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 B) (*.f64 (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (-.f64 (*.f64 1/6 B) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))) 2) (cbrt.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))) (sqrt.f64 (-.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 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simplify75.0ms (0.7%)

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
198 → 192
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)))

localize47.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.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)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite79.0ms (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
0813
116911
2231511
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.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))))))))

simplify61.0ms (0.6%)

Algorithm
egg-herbie
Rules
889×fma-neg_binary64
687×cancel-sign-sub-inv_binary64
580×associate-*r*_binary64
508×distribute-rgt-in_binary64
464×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048412
1145378
2483352
32219346
Stop Event
node limit
Counts
49 → 35
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)))
Outputs
(*.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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.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 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(fma.f64 -1 (/.f64 x B) (neg.f64 (*.f64 B (*.f64 x -1/3))))
(-.f64 (*.f64 (*.f64 x -1/3) (neg.f64 B)) (/.f64 x B))
(-.f64 (*.f64 (*.f64 B 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) (fma.f64 -1 (*.f64 B (*.f64 x -1/3)) (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 (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 (fma.f64 (pow.f64 B 3) (*.f64 x 1/45) (*.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 (*.f64 B 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))))
(fma.f64 (pow.f64 B 5) (+.f64 (neg.f64 (*.f64 x 1/630)) (*.f64 (*.f64 x -1/6) -1/45)) (-.f64 (fma.f64 (pow.f64 B 3) (*.f64 x 1/45) (*.f64 B (*.f64 x 1/3))) (/.f64 x 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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
0.0b
(sqrt.f64 (sin.f64 B))
0.1b
(/.f64 x (tan.f64 B))
0.2b
(pow.f64 (sqrt.f64 (sin.f64 B)) -2)
Compiler

Compiled 31 to 12 computations (61.3% saved)

series16.0ms (0.1%)

Counts
3 → 28
Calls

12 calls:

TimeVariablePointExpression
5.0ms
B
@0
(pow.f64 (sqrt.f64 (sin.f64 B)) -2)
2.0ms
B
@inf
(pow.f64 (sqrt.f64 (sin.f64 B)) -2)
2.0ms
B
@-inf
(pow.f64 (sqrt.f64 (sin.f64 B)) -2)
1.0ms
B
@0
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
1.0ms
x
@0
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))

rewrite161.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
665×prod-diff_binary64
521×log-prod_binary64
293×pow2_binary64
228×fma-def_binary64
200×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
122425
2300625
Stop Event
node limit
Counts
3 → 219
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sin.f64 B)) -2)
(sqrt.f64 (sin.f64 B))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
Outputs
((#(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 (/.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 (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(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 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(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))))))
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(neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (tan.f64 B)) (/.f64 1 (sin.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 1 (sin.f64 B)) (/.f64 x (tan.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 1 (sin.f64 B)) (/.f64 x (tan.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 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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)))))))

simplify96.0ms (0.9%)

Algorithm
egg-herbie
Rules
593×fma-def_binary64
243×fma-neg_binary64
79×associate-/l*_binary64
76×distribute-rgt-in_binary64
74×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
013403
124403
245403
384403
4145403
5226403
6341369
7612335
81113318
91664318
101876318
112017318
Stop Event
saturated
Counts
247 → 224
Calls
Call 1
Inputs
(/.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 (/.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 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 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) 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 (cos.f64 B) (/.f64 (neg.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) 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 (cos.f64 B) (/.f64 (neg.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.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 (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))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 1 (sin.f64 B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 -1 (sin.f64 B)) (+.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))

eval567.0ms (5.1%)

Compiler

Compiled 22785 to 9405 computations (58.7% saved)

prune201.0ms (1.8%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New94918967
Fresh5712
Picked101
Done055
Total95530985
Error
0b
Counts
985 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
61.9b
(*.f64 B 1/6)
23.4b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
0.2b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
33.5b
(-.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))
53.1b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
53.2b
(*.f64 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B)))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
42.7b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
33.1b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
33.3b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
20.2b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
33.2b
(-.f64 (/.f64 1 B) (/.f64 x B))
33.2b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
33.2b
(*.f64 (/.f64 1 B) (-.f64 1 x))
33.2b
(/.f64 (-.f64 1 x) B)
0.8b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
27.0b
(/.f64 1 (sin.f64 B))
36.8b
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
15.0b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
0.2b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
33.2b
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
36.2b
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
53.1b
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
23.3b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
53.4b
(/.f64 (neg.f64 x) B)
42.6b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
36.8b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
42.8b
(/.f64 1 B)
Compiler

Compiled 672 to 479 computations (28.7% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 11 computations (60.7% saved)

series7.0ms (0.1%)

Counts
2 → 20
Calls

12 calls:

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

rewrite85.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119120
2259120
Stop Event
node limit
Counts
2 → 126
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 (cos.f64 B) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 B) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 B) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (cos.f64 B) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cos.f64 B) x)))) (sqrt.f64 (log.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 B) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 B) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 B) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (cos.f64 B) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 B) x 1)) 2) (cbrt.f64 (fma.f64 (cos.f64 B) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (cos.f64 B) x 1)) (sqrt.f64 (fma.f64 (cos.f64 B) x 1)) -1)))))

simplify64.0ms (0.6%)

Algorithm
egg-herbie
Rules
566×sub-neg_binary64
411×distribute-rgt-in_binary64
398×unsub-neg_binary64
371×distribute-lft-in_binary64
326×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070506
1184468
2539458
32293395
46127395
Stop Event
node limit
Counts
146 → 145
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (*.f64 1/720 x) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 (-.f64 1 x) 1/120 (+.f64 (*.f64 (-.f64 1 x) -1/36) (*.f64 x -1/12)))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (*.f64 1/720 x) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) B (fma.f64 (-.f64 (*.f64 x 1/720) (fma.f64 1/120 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (fma.f64 -1/6 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (*.f64 (-.f64 1 x) -1/5040)))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (+.f64 (fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 (*.f64 x 1/720) (fma.f64 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) 1/120 (fma.f64 (-.f64 1 x) -1/5040 (*.f64 -1/6 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))))))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 (-.f64 1 x) 1/120 (+.f64 (*.f64 (-.f64 1 x) -1/36) (*.f64 x -1/12)))) (pow.f64 B 3) (fma.f64 (-.f64 (*.f64 x 1/720) (fma.f64 -1/6 (-.f64 (*.f64 x -1/24) (fma.f64 (-.f64 1 x) 1/120 (+.f64 (*.f64 (-.f64 1 x) -1/36) (*.f64 x -1/12)))) (fma.f64 (-.f64 1 x) -1/5040 (+.f64 (*.f64 x 1/240) (*.f64 (-.f64 1 x) 1/720))))) (pow.f64 B 5) (*.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x)))))) (/.f64 (-.f64 1 x) B))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 (+.f64 (-.f64 (*.f64 x -1/360) (*.f64 (-.f64 1 x) 1/840)) (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) 1/6)) (pow.f64 B 5) (*.f64 B (+.f64 1/6 (*.f64 x 1/3))))))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 (+.f64 (+.f64 (*.f64 x -1/360) (*.f64 (+.f64 x -1) 1/840)) (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) 1/6)) (pow.f64 B 5) (*.f64 B (+.f64 1/6 (*.f64 x 1/3))))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.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 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.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 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)
(*.f64 x (fma.f64 -1/2 (*.f64 B B) 1))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (*.f64 -1/2 (*.f64 B B))) x)
(fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (*.f64 B (*.f64 B -1/2))) x)
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 B 6)) (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)))
(fma.f64 x (*.f64 -1/720 (pow.f64 B 6)) (fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (*.f64 -1/2 (*.f64 B B))) x))
(*.f64 x (+.f64 (fma.f64 -1/2 (*.f64 B B) 1) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4)))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.f64 B 1/6)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
B
@0
(*.f64 B 1/6)
0.0ms
B
@-inf
(*.f64 B 1/6)
0.0ms
B
@inf
(*.f64 B 1/6)

rewrite41.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
345×pow1_binary64
338×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
321×add-log-exp_binary64
321×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28734
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 B 1/6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 B 1/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 B 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 B) 1/12)) (log.f64 (pow.f64 (exp.f64 B) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 B)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 B 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 B 1/6)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 B 1/6)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 B 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 B 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 B 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 B 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 B 1/6)))) (sqrt.f64 (log.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 B 1/6))) 2)) (cbrt.f64 (log.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 B 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 B 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 B 1/6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 B 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 B 1/6))) 2))))))

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
saturated
Counts
37 → 26
Calls
Call 1
Inputs
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
Outputs
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(*.f64 1/6 B)

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)

series8.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite114.0ms (1%)

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)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/3 B)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/3 B)) (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) (fma.f64 (neg.f64 (/.f64 x B)) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x B)) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))) 2) (cbrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))) (sqrt.f64 (-.f64 (*.f64 x (*.f64 1/3 B)) (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x B) 3) 1/27) (pow.f64 (/.f64 x B) 3)) (/.f64 1 (fma.f64 (/.f64 x B) (fma.f64 x (*.f64 1/3 B) (/.f64 x B)) (pow.f64 (*.f64 x (*.f64 1/3 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 1/3 B)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (fma.f64 x (*.f64 1/3 B) (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x B) (fma.f64 x (*.f64 1/3 B) (/.f64 x B)) (pow.f64 (*.f64 x (*.f64 1/3 B)) 2)) (-.f64 (*.f64 (pow.f64 (*.f64 x B) 3) 1/27) (pow.f64 (/.f64 x B) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 1/3 B) (/.f64 x 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egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (/.f64 x B))) (sqrt.f64 (neg.f64 (/.f64 x B))) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x B))) (sqrt.f64 (/.f64 x B)) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x B) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 x B)) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 B))) (sqrt.f64 (/.f64 x B))) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x B)) 2)) (cbrt.f64 (/.f64 x B)) (*.f64 x (*.f64 1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (sqrt.f64 B)) (sqrt.f64 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (sqrt.f64 B)) (sqrt.f64 B) (*.f64 (neg.f64 (/.f64 x B)) 1))))) (#(struct:change #<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))))))

simplify182.0ms (1.6%)

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)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 B (-.f64 1 x))
0.1b
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
Compiler

Compiled 21 to 14 computations (33.3% saved)

series9.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite135.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
864×pow1_binary64
809×add-log-exp_binary64
807×log1p-expm1-u_binary64
807×expm1-log1p-u_binary64
792×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117014
2217614
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(/.f64 B (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 B) (/.f64 x B))))) (#(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 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 B -1) (pow.f64 (/.f64 1 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 B (-.f64 1 x))) -1) (pow.f64 (sqrt.f64 (/.f64 B (-.f64 1 x))) -1))))) (#(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)) (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 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 *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 B)) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.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 1 (neg.f64 B)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 B (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 B (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 B (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 B (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 B (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (*.f64 B (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (sqrt.f64 B)) (sqrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 2)) (cbrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 B (-.f64 1 x)) -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)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 B (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 B (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 B (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 B) 2) (*.f64 (cbrt.f64 B) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 2) (cbrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 B) (*.f64 (sqrt.f64 B) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 B (-.f64 1 x))) (sqrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 B) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) B)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) 1) (/.f64 (cbrt.f64 B) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 B) 1) (/.f64 (sqrt.f64 B) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 B (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 B) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 B) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 B (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 B) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 B) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 B (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (-.f64 1 x)) 1)))) (#(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 B (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 B (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 B (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 B (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 B (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 B (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 B 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 B (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 B (-.f64 1 x))))))))

simplify120.0ms (1.1%)

Algorithm
egg-herbie
Rules
703×associate-/l*_binary64
508×fma-def_binary64
428×distribute-lft-out_binary64
384×sub-neg_binary64
367×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040368
1119356
2313340
3975322
44080316
Stop Event
node limit
Counts
112 → 95
Calls
Call 1
Inputs
(/.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)
(/.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))
B
(+.f64 (*.f64 B x) B)
(+.f64 (*.f64 B x) (+.f64 (*.f64 B (pow.f64 x 2)) B))
(+.f64 (*.f64 B x) (+.f64 (*.f64 B (pow.f64 x 2)) (+.f64 (*.f64 B (pow.f64 x 3)) B)))
(*.f64 -1 (/.f64 B x))
(+.f64 (*.f64 -1 (/.f64 B x)) (*.f64 -1 (/.f64 B (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (*.f64 -1 (/.f64 B (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 4))) (*.f64 -1 (/.f64 B (pow.f64 x 3))))))
(*.f64 -1 (/.f64 B x))
(+.f64 (*.f64 -1 (/.f64 B x)) (*.f64 -1 (/.f64 B (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (*.f64 -1 (/.f64 B (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 4))) (*.f64 -1 (/.f64 B (pow.f64 x 3))))))
Outputs
(/.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)
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.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))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.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))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
B
(+.f64 (*.f64 B x) B)
(fma.f64 B x B)
(fma.f64 x B B)
(+.f64 (*.f64 B x) (+.f64 (*.f64 B (pow.f64 x 2)) B))
(fma.f64 B x (fma.f64 B (*.f64 x x) B))
(fma.f64 x B (fma.f64 B (*.f64 x x) B))
(*.f64 B (+.f64 (fma.f64 x x 1) x))
(fma.f64 x (fma.f64 x B B) B)
(+.f64 (*.f64 B x) (+.f64 (*.f64 B (pow.f64 x 2)) (+.f64 (*.f64 B (pow.f64 x 3)) B)))
(fma.f64 B x (fma.f64 B (*.f64 x x) (fma.f64 B (pow.f64 x 3) B)))
(fma.f64 x B (fma.f64 B (*.f64 x x) (fma.f64 B (pow.f64 x 3) B)))
(fma.f64 x B (fma.f64 B (fma.f64 x x (pow.f64 x 3)) B))
(*.f64 (fma.f64 x x 1) (fma.f64 x B B))
(*.f64 -1 (/.f64 B x))
(neg.f64 (/.f64 B x))
(/.f64 (neg.f64 B) x)
(+.f64 (*.f64 -1 (/.f64 B x)) (*.f64 -1 (/.f64 B (pow.f64 x 2))))
(fma.f64 -1 (/.f64 B x) (neg.f64 (/.f64 B (*.f64 x x))))
(-.f64 (neg.f64 (/.f64 B x)) (/.f64 (/.f64 B x) x))
(*.f64 (/.f64 B x) (+.f64 -1 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (*.f64 -1 (/.f64 B (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 B x) (*.f64 -1 (+.f64 (/.f64 B (*.f64 x x)) (/.f64 B (pow.f64 x 3)))))
(-.f64 (-.f64 (neg.f64 (/.f64 B x)) (/.f64 (/.f64 B x) x)) (/.f64 B (pow.f64 x 3)))
(-.f64 (*.f64 (/.f64 B (*.f64 x x)) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x))
(*.f64 (/.f64 B x) (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
(-.f64 (*.f64 (/.f64 (/.f64 B x) x) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x))
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 4))) (*.f64 -1 (/.f64 B (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 B x) (fma.f64 -1 (/.f64 B (*.f64 x x)) (fma.f64 -1 (/.f64 B (pow.f64 x 4)) (neg.f64 (/.f64 B (pow.f64 x 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 B) (pow.f64 x 3)) (/.f64 B (pow.f64 x 4))) (/.f64 (/.f64 B x) x)) (/.f64 B x))
(-.f64 (-.f64 (*.f64 (/.f64 B (*.f64 x x)) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x)) (/.f64 B (pow.f64 x 4)))
(*.f64 (+.f64 (/.f64 B x) (/.f64 B (*.f64 x x))) (+.f64 -1 (/.f64 -1 (*.f64 x x))))
(*.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 B (/.f64 B x)))
(*.f64 -1 (/.f64 B x))
(neg.f64 (/.f64 B x))
(/.f64 (neg.f64 B) x)
(+.f64 (*.f64 -1 (/.f64 B x)) (*.f64 -1 (/.f64 B (pow.f64 x 2))))
(fma.f64 -1 (/.f64 B x) (neg.f64 (/.f64 B (*.f64 x x))))
(-.f64 (neg.f64 (/.f64 B x)) (/.f64 (/.f64 B x) x))
(*.f64 (/.f64 B x) (+.f64 -1 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (*.f64 -1 (/.f64 B (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 B x) (*.f64 -1 (+.f64 (/.f64 B (*.f64 x x)) (/.f64 B (pow.f64 x 3)))))
(-.f64 (-.f64 (neg.f64 (/.f64 B x)) (/.f64 (/.f64 B x) x)) (/.f64 B (pow.f64 x 3)))
(-.f64 (*.f64 (/.f64 B (*.f64 x x)) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x))
(*.f64 (/.f64 B x) (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
(-.f64 (*.f64 (/.f64 (/.f64 B x) x) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x))
(+.f64 (*.f64 -1 (/.f64 B x)) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 B (pow.f64 x 4))) (*.f64 -1 (/.f64 B (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 B x) (fma.f64 -1 (/.f64 B (*.f64 x x)) (fma.f64 -1 (/.f64 B (pow.f64 x 4)) (neg.f64 (/.f64 B (pow.f64 x 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 B) (pow.f64 x 3)) (/.f64 B (pow.f64 x 4))) (/.f64 (/.f64 B x) x)) (/.f64 B x))
(-.f64 (-.f64 (*.f64 (/.f64 B (*.f64 x x)) (+.f64 -1 (/.f64 -1 x))) (/.f64 B x)) (/.f64 B (pow.f64 x 4)))
(*.f64 (+.f64 (/.f64 B x) (/.f64 B (*.f64 x x))) (+.f64 -1 (/.f64 -1 (*.f64 x x))))
(*.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 B (/.f64 B x)))

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
0.0b
(sqrt.f64 (sin.f64 B))
0.2b
(pow.f64 (sqrt.f64 (sin.f64 B)) -2)
Compiler

Compiled 27 to 11 computations (59.3% saved)

series5.0ms (0%)

Counts
1 → 20
Calls

6 calls:

TimeVariablePointExpression
2.0ms
B
@0
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
1.0ms
B
@inf
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
1.0ms
x
@-inf
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
1.0ms
B
@-inf
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
1.0ms
x
@inf
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))

rewrite121.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
657×prod-diff_binary64
471×log-prod_binary64
285×pow-prod-down_binary64
264×pow2_binary64
224×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
120312
2274512
Stop Event
node limit
Counts
1 → 169
Calls
Call 1
Inputs
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
Outputs
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simplify31.0ms (0.3%)

Algorithm
egg-herbie
Rules
92×fma-def_binary64
92×fma-neg_binary64
36×cancel-sign-sub-inv_binary64
18×unsub-neg_binary64
17×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010225
118210
226210
336210
449210
573210
6117210
7158210
8221210
9302210
10413210
11485210
12530210
13549210
Stop Event
saturated
Counts
189 → 174
Calls
Call 1
Inputs
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
Outputs
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 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 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 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 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))

eval375.0ms (3.4%)

Compiler

Compiled 14263 to 6722 computations (52.9% saved)

prune251.0ms (2.3%)

Pruning

38 alts after pruning (30 fresh and 8 done)

PrunedKeptTotal
New66915684
Fresh51520
Picked011
Done279
Total67638714
Error
0b
Counts
714 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
61.9b
(*.f64 B 1/6)
23.4b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
42.1b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))) 2)
0.2b
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x)))
0.2b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
53.1b
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
53.1b
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
16.4b
(/.f64 (-.f64 1 x) (sin.f64 B))
33.5b
(-.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))
53.1b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
61.9b
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
42.7b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
33.1b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
53.4b
(/.f64 (neg.f64 x) B)
33.3b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
33.2b
(-.f64 (/.f64 1 B) (/.f64 x B))
33.2b
(*.f64 (/.f64 1 B) (-.f64 1 x))
62.6b
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
23.3b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
42.6b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
33.2b
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
36.8b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
62.5b
(expm1.f64 (log1p.f64 (*.f64 B 1/6)))
33.2b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
33.2b
(/.f64 (-.f64 1 x) B)
27.0b
(/.f64 1 (sin.f64 B))
36.8b
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
15.0b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
53.1b
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
62.3b
(fabs.f64 (*.f64 B 1/6))
0.2b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
53.1b
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 B)))
36.2b
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
33.2b
(/.f64 1 (/.f64 B (-.f64 1 x)))
37.5b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
42.8b
(/.f64 1 B)
Compiler

Compiled 812 to 597 computations (26.5% saved)

localize56.0ms (0.5%)

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)))
0.1b
(/.f64 1 (sin.f64 B))
0.1b
(/.f64 (tan.f64 B) x)
0.3b
(/.f64 1 (/.f64 (tan.f64 B) x))
Compiler

Compiled 42 to 19 computations (54.8% saved)

series33.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
19.0ms
x
@0
(/.f64 (tan.f64 B) x)
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)
1.0ms
x
@-inf
(/.f64 (tan.f64 B) x)

rewrite159.0ms (1.4%)

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)))))) (#(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 (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)) (/.f64 (cbrt.f64 x) (cbrt.f64 (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 (pow.f64 (tan.f64 B) -1/2) (/.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 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.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 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) (cos.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 (neg.f64 (tan.f64 B))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (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 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 (tan.f64 B))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(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 (tan.f64 B) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -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 (sqrt.f64 (/.f64 (tan.f64 B) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) -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 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))) 2)))) (#(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 (tan.f64 B) x) -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 (tan.f64 B) x) -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 (tan.f64 B) x)) -1))))) (#(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 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 B) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2) (cbrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (tan.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (*.f64 (cbrt.f64 (tan.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 B)) (*.f64 (sqrt.f64 (tan.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 B)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 B)) (/.f64 1 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(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)))))))

simplify90.0ms (0.8%)

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)))
(+.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 x B)))))
(fma.f64 (neg.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105))) (pow.f64 B 5) (-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 (*.f64 x 1/45) (pow.f64 B 3))))
(-.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 1/45 (*.f64 x (pow.f64 B 3)))))
(fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (fma.f64 x (*.f64 B -1/3) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(fma.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)))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.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 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (+.f64 (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)) (*.f64 17/315 (/.f64 (pow.f64 B 7) x))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.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))
(fma.f64 B (fma.f64 x 1/3 1/6) (+.f64 (*.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) (fma.f64 B (fma.f64 x 1/3 1/6) (+.f64 (*.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 (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 (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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 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 (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))))
(+.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 -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 (/.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 (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))))
(+.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 -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 (/.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 (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))))
(+.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))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite201.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
490×log-prod_binary64
364×exp-prod_binary64
360×prod-exp_binary64
309×pow-prod-down_binary64
297×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118020
2255720
Stop Event
node limit
Counts
2 → 158
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 x B))
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 B 1/3)))))) (#(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 B 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 B 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 B 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 B 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 B 1/3)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 B 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 B 1/3))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 B 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 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 B 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 B 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 B 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 B 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 B 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 B 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 B 1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 B 1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 B 1/3))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 B) 1) (log.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 1/3 x)) (*.f64 (log.f64 B) 1)))))))
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fma.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3))) (sqrt.f64 (*.f64 x (*.f64 B 1/3))) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x B)) (neg.f64 (sqrt.f64 (/.f64 x B))) (*.f64 x (*.f64 B 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 3) (pow.f64 (/.f64 B x) -3)) (/.f64 1 (fma.f64 (/.f64 x B) (fma.f64 1/3 (*.f64 x B) (/.f64 x B)) (pow.f64 (*.f64 x (*.f64 B 1/3)) 2))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 3) (pow.f64 (/.f64 B x) -3)) (/.f64 1 (fma.f64 (/.f64 x B) (fma.f64 1/3 (*.f64 x B) (/.f64 x B)) (pow.f64 (*.f64 x (*.f64 B 1/3)) 2))) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 3) (pow.f64 (/.f64 B x) -3)) (/.f64 1 (fma.f64 (/.f64 x B) (fma.f64 1/3 (*.f64 x B) (/.f64 x B)) (pow.f64 (*.f64 x (*.f64 B 1/3)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 3) (pow.f64 (/.f64 B x) -3)) (/.f64 1 (fma.f64 (/.f64 x B) (fma.f64 1/3 (*.f64 x B) (/.f64 x B)) (pow.f64 (*.f64 x (*.f64 B 1/3)) 2))) (+.f64 (/.f64 (neg.f64 x) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (fma.f64 1/3 (*.f64 x B) (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (fma.f64 1/3 (*.f64 x B) (/.f64 x B))) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (fma.f64 1/3 (*.f64 x B) (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 B 1/3)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (fma.f64 1/3 (*.f64 x B) (/.f64 x B))) (+.f64 (/.f64 (neg.f64 x) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 x) B (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 x) B (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) B)) 2) (cbrt.f64 (/.f64 (neg.f64 x) B)) (*.f64 x (*.f64 B 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) B)) (sqrt.f64 (/.f64 (neg.f64 x) B)) (*.f64 x (*.f64 B 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x B))) (sqrt.f64 (/.f64 x B)) (*.f64 x (*.f64 B 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x B) (*.f64 x (*.f64 B 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3))) (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 (*.f64 x (*.f64 B 1/3))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 B 1/3))) (sqrt.f64 (/.f64 x B))) (+.f64 (/.f64 (neg.f64 x) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x B)) 2)) (cbrt.f64 (/.f64 x B)) (*.f64 x (*.f64 B 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 B) x (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 B) x (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 x B)) 2)) (cbrt.f64 (*.f64 x B)) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 (*.f64 x B)) 2)) (cbrt.f64 (*.f64 x B)) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 x B))) (sqrt.f64 (*.f64 x B)) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 x B))) (sqrt.f64 (*.f64 x B)) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) 1) B (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) 1) B (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) (sqrt.f64 B)) (sqrt.f64 B) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 x) (sqrt.f64 B)) (sqrt.f64 B) (*.f64 (/.f64 (neg.f64 x) B) 1))))))

simplify165.0ms (1.5%)

Algorithm
egg-herbie
Rules
703×fma-def_binary64
658×fma-neg_binary64
461×div-sub_binary64
411×associate-/l*_binary64
286×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020377
144335
296335
3236335
4413335
5680335
61135335
71724335
82501335
93305335
103694335
113856335
123886335
133894335
143960335
154387335
164469335
174471335
184473335
194483335
Stop Event
saturated
Counts
194 → 166
Calls
Call 1
Inputs
(*.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 (-.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))
(*.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)))
Outputs
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 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)))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(*.f64 1/3 (*.f64 B x))
(*.f64 (*.f64 1/3 B) x)
(*.f64 x (/.f64 B 3))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(*.f64 x (fma.f64 1/3 B (/.f64 -1 B)))

localize34.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.f64 B 1/6)
Compiler

Compiled 11 to 8 computations (27.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(*.f64 B 1/6)
0.5b
(cbrt.f64 (*.f64 B 1/6))
0.8b
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
Compiler

Compiled 18 to 14 computations (22.2% saved)

series7.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
B
@0
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
2.0ms
B
@-inf
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
1.0ms
B
@inf
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
1.0ms
B
@-inf
(cbrt.f64 (*.f64 B 1/6))
1.0ms
B
@inf
(cbrt.f64 (*.f64 B 1/6))

rewrite46.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
522×pow1_binary64
516×add-sqr-sqrt_binary64
495×add-log-exp_binary64
495×log1p-expm1-u_binary64
495×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114910
2139710
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
(cbrt.f64 (*.f64 B 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 B 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 B 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 B (pow.f64 (cbrt.f64 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 B)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 B 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 B 1/6)) (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 B 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 B) (*.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 B) 2) (*.f64 (cbrt.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 B 1/6) 1/6) (*.f64 (pow.f64 (*.f64 B 1/6) 1/6) (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 B) (*.f64 (sqrt.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 B 1/6)) (sqrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2) 3) (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 B 1/6) 1/6) 3) (pow.f64 (pow.f64 (*.f64 B 1/6) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 B)) (sqrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) 1) (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) (cbrt.f64 B)) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) (pow.f64 (*.f64 B 1/6) 1/6)) (pow.f64 (*.f64 B 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 B 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 B 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 B 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 B 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/6) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 2) (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 B) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 B 1/6) 1/6) (pow.f64 (*.f64 B 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 B 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 B 1/6)) 1/3) (pow.f64 (sqrt.f64 (*.f64 B 1/6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 B 1/6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 B 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 B 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 B 1/6) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 B 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 B 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 B 1/6))))))))

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
49 → 49
Calls
Call 1
Inputs
Outputs

eval290.0ms (2.6%)

Compiler

Compiled 11547 to 5922 computations (48.7% saved)

prune207.0ms (1.9%)

Pruning

40 alts after pruning (29 fresh and 11 done)

PrunedKeptTotal
New6845689
Fresh12425
Picked101
Done11112
Total68740727
Error
0b
Counts
727 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
61.9b
(*.f64 B 1/6)
23.4b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
42.1b
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))) 2)
0.2b
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x)))
0.2b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.2b
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
63.0b
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3)
53.1b
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3)))
16.4b
(/.f64 (-.f64 1 x) (sin.f64 B))
33.5b
(-.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))
53.1b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
42.7b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
33.1b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
53.4b
(/.f64 (neg.f64 x) B)
33.3b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
33.2b
(-.f64 (/.f64 1 B) (/.f64 x B))
33.2b
(*.f64 (/.f64 1 B) (-.f64 1 x))
62.6b
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
61.9b
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3))
23.3b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
53.1b
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B))
37.5b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
42.6b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
33.2b
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
36.8b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
23.4b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
62.5b
(expm1.f64 (log1p.f64 (*.f64 B 1/6)))
33.2b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
33.2b
(/.f64 (-.f64 1 x) B)
27.0b
(/.f64 1 (sin.f64 B))
36.8b
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
15.0b
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
53.1b
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
62.3b
(fabs.f64 (*.f64 B 1/6))
0.2b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
36.2b
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
53.1b
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
33.2b
(/.f64 1 (/.f64 B (-.f64 1 x)))
42.8b
(/.f64 1 B)
Compiler

Compiled 472 to 348 computations (26.3% saved)

regimes114.0ms (1%)

Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B))
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (*.f64 B (*.f64 x 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 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3)))
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 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 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(+.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 (*.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 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))
(expm1.f64 (log1p.f64 (*.f64 B 1/6)))
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3))
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3)
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(*.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 (cos.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 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x B))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))) 2)
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

32.0ms
B
31.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
28.0ms
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 603 to 345 computations (42.8% saved)

regimes117.0ms (1.1%)

Counts
43 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B))
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (*.f64 B (*.f64 x 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 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3)))
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 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 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(+.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 (*.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 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))
(expm1.f64 (log1p.f64 (*.f64 B 1/6)))
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3))
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3)
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

2 calls:

53.0ms
B
25.0ms
x
Results
ErrorSegmentsBranch
0.2b1B
0.2b1x
Compiler

Compiled 437 to 273 computations (37.5% saved)

regimes281.0ms (2.5%)

Counts
42 → 3
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B))
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (*.f64 B (*.f64 x 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 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3)))
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 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 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(+.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 (*.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 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))
(expm1.f64 (log1p.f64 (*.f64 B 1/6)))
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3))
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3)
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(*.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 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
Calls

2 calls:

207.0ms
B
61.0ms
x
Results
ErrorSegmentsBranch
11.0b8B
1.1b3x
Compiler

Compiled 428 to 269 computations (37.1% saved)

bsearch121.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
60.0ms
0.4041165185948139
13908.809919163758
60.0ms
-7781121477.171834
-1743565716.8814893
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes338.0ms (3%)

Counts
40 → 3
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B))
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (*.f64 B (*.f64 x 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 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3)))
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 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 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(+.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 (*.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 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))
(expm1.f64 (log1p.f64 (*.f64 B 1/6)))
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3))
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3)
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
Outputs
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
Calls

2 calls:

234.0ms
B
87.0ms
x
Results
ErrorSegmentsBranch
11.0b8B
1.1b3x
Compiler

Compiled 412 to 265 computations (35.7% saved)

bsearch212.0ms (1.9%)

Algorithm
binary-search
Steps
TimeLeftRight
106.0ms
0.4041165185948139
13908.809919163758
105.0ms
-7781121477.171834
-1743565716.8814893
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes322.0ms (2.9%)

Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B))
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (*.f64 B (*.f64 x 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 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3)))
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 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 (+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B)) (neg.f64 (cos.f64 B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(+.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 (*.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 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))
(expm1.f64 (log1p.f64 (*.f64 B 1/6)))
(*.f64 B (pow.f64 (cbrt.f64 1/6) 3))
(pow.f64 (cbrt.f64 (*.f64 B 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 B 1/6) 1/3) 3)
Outputs
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 1 x) (sin.f64 B))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
Calls

2 calls:

157.0ms
B
131.0ms
x
Results
ErrorSegmentsBranch
14.6b3B
7.3b3x
Compiler

Compiled 404 to 262 computations (35.1% saved)

bsearch52.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
3.966673038159804e+113
7.904098468574747e+113
30.0ms
-1.4366068250122445e+86
-6.106329499059699e+84
Compiler

Compiled 67 to 51 computations (23.9% saved)

regimes78.0ms (0.7%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B))
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (*.f64 B (*.f64 x 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 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 B 1/3)))
(fma.f64 (neg.f64 x) (/.f64 1 B) (*.f64 x (*.f64 1/3 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B)))
Outputs
(/.f64 (-.f64 1 x) (sin.f64 B))
Calls

2 calls:

52.0ms
x
17.0ms
B
Results
ErrorSegmentsBranch
16.4b1B
16.4b1x
Compiler

Compiled 255 to 161 computations (36.9% saved)

regimes97.0ms (0.9%)

Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B))
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (*.f64 B (*.f64 x 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 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
(fabs.f64 (*.f64 B 1/6))
(/.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:

54.0ms
x
36.0ms
B
Results
ErrorSegmentsBranch
17.2b3B
17.5b3x
Compiler

Compiled 209 to 134 computations (35.9% saved)

bsearch77.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
38.0ms
0.00866324485453329
3986176.0187035566
39.0ms
-178431796656.61
-203.54215402637342
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes30.0ms (0.3%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (*.f64 x (/.f64 B 3)) (/.f64 x B))
(-.f64 (*.f64 1/3 (*.f64 x B)) (/.f64 x B))
(/.f64 (/.f64 1 B) (/.f64 1 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(-.f64 (*.f64 B (*.f64 x 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 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 B 1/6)) (+.f64 1 (*.f64 B 1/6))) 1) (+.f64 (+.f64 1 (*.f64 B 1/6)) 1))
(fabs.f64 (*.f64 B 1/6))
Outputs
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
Calls

2 calls:

12.0ms
B
11.0ms
x
Results
ErrorSegmentsBranch
33.1b1B
33.1b1x
Compiler

Compiled 205 to 131 computations (36.1% saved)

regimes70.0ms (0.6%)

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

2 calls:

46.0ms
x
15.0ms
B
Results
ErrorSegmentsBranch
33.2b1B
33.2b1x
Compiler

Compiled 116 to 71 computations (38.8% saved)

regimes51.0ms (0.5%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(/.f64 1 (/.f64 B (-.f64 1 x)))
Outputs
(/.f64 (-.f64 1 x) B)
Calls

2 calls:

39.0ms
B
9.0ms
x
Results
ErrorSegmentsBranch
33.2b1B
33.2b1x
Compiler

Compiled 41 to 25 computations (39% saved)

regimes48.0ms (0.4%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 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:

26.0ms
B
20.0ms
x
Results
ErrorSegmentsBranch
40.3b4B
34.1b3x
Compiler

Compiled 22 to 12 computations (45.5% saved)

bsearch178.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
64.0ms
606553354524163.8
2.2485608551587436e+23
114.0ms
-1.960508292530095
-1.3352213106821646e-16
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes10.0ms (0.1%)

Accuracy

Total -19.5b remaining (-45.5%)

Threshold costs -19.5b (-45.5%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
Outputs
(/.f64 1 B)
Calls

2 calls:

5.0ms
x
3.0ms
B
Results
ErrorSegmentsBranch
42.8b1B
42.8b1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify20.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
068325
1107321
2146321
3164321
4171321
5172321
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))))
(if (<=.f64 x -8159097234046933/1048576) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 x -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x 500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))))
(/.f64 (-.f64 1 x) (sin.f64 B))
(if (<=.f64 B -1461713278210949/8192) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 4994020646233023/576460752303423488) (-.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 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -8829344415695303/4503599627370496) (/.f64 (neg.f64 x) B) (if (<=.f64 x 2426213418096655/4) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(/.f64 1 B)
(*.f64 B 1/6)
Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))))
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (neg.f64 (/.f64 1 B)))) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))))
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 -1 B))) (*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))))
(if (<=.f64 x -8159097234046933/1048576) (*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 -1 B))) (*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))))
(if (<=.f64 x -8159097234046933/1048576) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (neg.f64 (*.f64 x (/.f64 1 B))) (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))))
(if (<=.f64 x -8159097234046933/1048576) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (neg.f64 (/.f64 1 B)))) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))))
(if (<=.f64 x -8159097234046933/1048576) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) (if (<=.f64 x 909989501278933/2251799813685248) (+.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 -1 B))) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))))
(if (<=.f64 x -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x 500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x (tan.f64 B))) (if (<=.f64 x 500000000000000007779708064733421512134100698460530716684885290215416890582377851632492694957523723838103140433920) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x (tan.f64 B)))))
(/.f64 (-.f64 1 x) (sin.f64 B))
(if (<=.f64 B -1461713278210949/8192) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 4994020646233023/576460752303423488) (-.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 -1461713278210949/8192) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 4994020646233023/576460752303423488) (-.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 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (*.f64 B (+.f64 1/6 (*.f64 x 1/3)))) (/.f64 x B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -8829344415695303/4503599627370496) (/.f64 (neg.f64 x) B) (if (<=.f64 x 2426213418096655/4) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(/.f64 1 B)
(*.f64 B 1/6)
Compiler

Compiled 239 to 152 computations (36.4% saved)

soundness26.0ms (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)

end120.0ms (1.1%)

Compiler

Compiled 215 to 115 computations (46.5% saved)

Profiling

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