Details

Time bar (total: 6.1s)

analyze1.2s (19.7%)

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
35.1%55.2%9.7%13
35.9%53.4%10.7%14
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.7s (43.9%)

Results
1.3s2317×body1024valid
637.0ms4194×body128valid
486.0ms1147×body512valid
162.0ms593×body256valid
31.0ms163×body128invalid
5.0msbody2048valid
1.0msbody512invalid
1.0msbody1024invalid
Compiler

Compiled 30 to 24 computations (20% saved)

preprocess48.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 11 computations (21.4% saved)

simplify11.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 73 to 53 computations (27.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series12.0ms (0.2%)

Counts
3 → 52
Calls

15 calls:

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

rewrite86.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify37.0ms (0.6%)

Algorithm
egg-herbie
Rules
421×associate--l+_binary64
420×fma-def_binary64
330×cancel-sign-sub-inv_binary64
324×associate-+l+_binary64
279×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063830
1181817
2551799
32449797
Stop Event
node limit
Counts
282 → 259
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (/.f64 1 B) (*.f64 1/6 B))
(+.f64 (/.f64 1 B) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B)))
(+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 x B)
(-.f64 (/.f64 x B) (*.f64 1/3 (*.f64 B x)))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (*.f64 1/3 (*.f64 B x))))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
Outputs
(/.f64 1 B)
(+.f64 (/.f64 1 B) (*.f64 1/6 B))
(+.f64 (/.f64 1 B) (*.f64 B 1/6))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (/.f64 1 B) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B)))
(+.f64 (/.f64 1 B) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))
(+.f64 (/.f64 1 B) (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6))))
(fma.f64 31/15120 (pow.f64 B 5) (fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B))))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(-.f64 (/.f64 x B) (*.f64 1/3 (*.f64 B x)))
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (/.f64 x B) (*.f64 (*.f64 B x) -1/3))
(fma.f64 (*.f64 B x) -1/3 (/.f64 x B))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (*.f64 1/3 (*.f64 B x))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 (pow.f64 B 3) x) (*.f64 1/3 (*.f64 B x))))
(-.f64 (/.f64 x B) (*.f64 x (+.f64 (*.f64 (pow.f64 B 3) 1/45) (*.f64 B 1/3))))
(-.f64 (/.f64 x B) (*.f64 x (fma.f64 (pow.f64 B 3) 1/45 (*.f64 B 1/3))))
(-.f64 (/.f64 x B) (*.f64 x (fma.f64 B 1/3 (*.f64 (pow.f64 B 3) 1/45))))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 (pow.f64 B 3) x) (fma.f64 1/3 (*.f64 B x) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 (pow.f64 B 3) x) (*.f64 x (+.f64 (*.f64 B 1/3) (*.f64 (pow.f64 B 5) 2/945)))))
(-.f64 (/.f64 x B) (*.f64 x (+.f64 (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B 1/3 (*.f64 (pow.f64 B 5) 2/945)))))
(+.f64 (/.f64 x B) (*.f64 x (-.f64 (*.f64 (pow.f64 B 5) -2/945) (fma.f64 B 1/3 (*.f64 (pow.f64 B 3) 1/45)))))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/3 (*.f64 B x) (*.f64 B 1/6)) (/.f64 x B)))
(+.f64 (fma.f64 1/3 (*.f64 B x) (*.f64 B 1/6)) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/45 (*.f64 (pow.f64 B 3) x) (fma.f64 1/3 (*.f64 B x) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))) (/.f64 x B)))
(+.f64 (fma.f64 1/45 (*.f64 (pow.f64 B 3) x) (fma.f64 1/3 (*.f64 B x) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 x (fma.f64 (pow.f64 B 3) 1/45 (*.f64 B 1/3)) (fma.f64 B 1/6 (*.f64 7/360 (pow.f64 B 3)))) (/.f64 (-.f64 1 x) B))
(+.f64 (+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (*.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 (pow.f64 B 3) x) (fma.f64 1/3 (*.f64 B x) (fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (*.f64 2/945 (*.f64 (pow.f64 B 5) x))))))) (/.f64 x B)))
(+.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 (pow.f64 B 3) x) (fma.f64 1/3 (*.f64 B x) (fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (*.f64 (pow.f64 B 5) (*.f64 x 2/945))))))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 x (fma.f64 (pow.f64 B 3) 1/45 (*.f64 B 1/3)) (fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (*.f64 (pow.f64 B 5) (*.f64 x 2/945)))))) (/.f64 (-.f64 1 x) B))
(+.f64 (+.f64 (+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (*.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120))) (/.f64 (-.f64 1 x) B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

prune218.0ms (3.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2536259
Fresh101
Picked101
Done000
Total2556261
Error
0b
Counts
261 → 6
Alt Table
StatusErrorProgram
27.2b
(*.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
16.6b
(*.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (/.f64 1 (*.f64 (sin.f64 B) (tan.f64 B))))
30.9b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))
10.6b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
1.3b
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2))
Compiler

Compiled 7591 to 3103 computations (59.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.2%)

Counts
3 → 35
Calls

18 calls:

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

rewrite149.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
911×prod-diff_binary64
269×egg-rr
113×add-sqr-sqrt_binary64
110×*-un-lft-identity_binary64
110×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031
121826
2326126
Stop Event
node limit
Counts
3 → 328
Calls
Call 1
Inputs
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(*.f64 x (cos.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
Outputs
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(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))))

simplify41.0ms (0.7%)

Algorithm
egg-herbie
Rules
504×fma-neg_binary64
428×fma-def_binary64
310×associate-+l+_binary64
257×distribute-rgt-neg-in_binary64
252×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076526
1218514
2686492
33116488
Stop Event
node limit
Counts
363 → 356
Calls
Call 1
Inputs
(/.f64 x B)
(-.f64 (/.f64 x B) (*.f64 1/3 (*.f64 B x)))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (*.f64 1/3 (*.f64 B x))))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
(*.f64 (cos.f64 B) x)
x
(-.f64 x (*.f64 1/2 (*.f64 (pow.f64 B 2) x)))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) x) (*.f64 1/2 (*.f64 (pow.f64 B 2) x)))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 B 2) x)) (*.f64 1/720 (*.f64 (pow.f64 B 6) x))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (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)))
(+.f64 (/.f64 x B) (*.f64 (*.f64 x B) -1/3))
(fma.f64 (*.f64 x B) -1/3 (/.f64 x B))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (*.f64 1/3 (*.f64 B x))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (*.f64 1/3 (*.f64 x B))))
(-.f64 (/.f64 x B) (*.f64 x (+.f64 (*.f64 1/45 (pow.f64 B 3)) (*.f64 B 1/3))))
(-.f64 (/.f64 x B) (*.f64 x (fma.f64 B 1/3 (*.f64 1/45 (pow.f64 B 3)))))
(-.f64 (/.f64 x B) (*.f64 x (fma.f64 1/45 (pow.f64 B 3) (*.f64 B 1/3))))
(-.f64 (/.f64 x B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (*.f64 2/945 (*.f64 x (pow.f64 B 5))))))
(-.f64 (/.f64 x B) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (*.f64 x (+.f64 (*.f64 B 1/3) (*.f64 2/945 (pow.f64 B 5))))))
(-.f64 (/.f64 x B) (*.f64 x (+.f64 (*.f64 1/45 (pow.f64 B 3)) (fma.f64 B 1/3 (*.f64 2/945 (pow.f64 B 5))))))
(+.f64 (/.f64 x B) (*.f64 x (-.f64 (*.f64 (pow.f64 B 3) -1/45) (fma.f64 B 1/3 (*.f64 2/945 (pow.f64 B 5))))))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
x
(-.f64 x (*.f64 1/2 (*.f64 (pow.f64 B 2) x)))
(+.f64 x (*.f64 -1/2 (*.f64 x (*.f64 B B))))
(+.f64 x (*.f64 (*.f64 -1/2 (*.f64 B B)) x))
(fma.f64 (*.f64 x (*.f64 B B)) -1/2 x)
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) x) (*.f64 1/2 (*.f64 (pow.f64 B 2) x)))
(+.f64 (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) x) (*.f64 -1/2 (*.f64 x (*.f64 B B))))
(+.f64 (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) x) (*.f64 (*.f64 -1/2 (*.f64 B B)) x))
(*.f64 x (-.f64 (fma.f64 1/24 (pow.f64 B 4) 1) (*.f64 B (*.f64 B 1/2))))
(*.f64 x (+.f64 (fma.f64 1/24 (pow.f64 B 4) 1) (*.f64 B (*.f64 B -1/2))))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 B 2) x)) (*.f64 1/720 (*.f64 (pow.f64 B 6) x))))
(-.f64 (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) x) (fma.f64 1/2 (*.f64 x (*.f64 B B)) (*.f64 1/720 (*.f64 x (pow.f64 B 6)))))
(-.f64 (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) x) (*.f64 x (+.f64 (*.f64 1/2 (*.f64 B B)) (*.f64 1/720 (pow.f64 B 6)))))
(+.f64 x (*.f64 x (-.f64 (*.f64 1/24 (pow.f64 B 4)) (fma.f64 1/2 (*.f64 B B) (*.f64 1/720 (pow.f64 B 6))))))
(*.f64 x (-.f64 (fma.f64 1/24 (pow.f64 B 4) 1) (fma.f64 1/2 (*.f64 B B) (*.f64 1/720 (pow.f64 B 6)))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/3 (*.f64 x B) (*.f64 B 1/6)) (/.f64 x B)))
(+.f64 (fma.f64 B 1/6 (*.f64 x (*.f64 B 1/3))) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))) (/.f64 x B)))
(+.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 x (fma.f64 B 1/3 (*.f64 1/45 (pow.f64 B 3))) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))) (/.f64 (-.f64 1 x) B))
(+.f64 (+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (*.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (*.f64 2/945 (*.f64 x (pow.f64 B 5)))))))) (/.f64 x B)))
(+.f64 (fma.f64 (pow.f64 B 5) 31/15120 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (*.f64 x (*.f64 2/945 (pow.f64 B 5)))))))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 (pow.f64 B 5) 31/15120 (fma.f64 x (fma.f64 B 1/3 (*.f64 1/45 (pow.f64 B 3))) (fma.f64 x (*.f64 2/945 (pow.f64 B 5)) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))))) (/.f64 (-.f64 1 x) B))
(+.f64 (+.f64 (+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (*.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120))) (/.f64 (-.f64 1 x) B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (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 -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 -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)))

prune297.0ms (4.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3860386
Fresh055
Picked011
Done000
Total3866392
Error
0b
Counts
392 → 6
Alt Table
StatusErrorProgram
27.2b
(*.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
16.6b
(*.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (/.f64 1 (*.f64 (sin.f64 B) (tan.f64 B))))
30.9b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))
10.6b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
1.3b
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2))
Compiler

Compiled 13246 to 4977 computations (62.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (sin.f64 B))
0.4b
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2))
0.5b
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)
0.5b
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))

series20.0ms (0.3%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
5.0ms
B
@0
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)
2.0ms
B
@0
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
2.0ms
B
@inf
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
2.0ms
B
@-inf
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
1.0ms
x
@0
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))

rewrite88.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
785×prod-diff_binary64
170×egg-rr
132×add-sqr-sqrt_binary64
127×pow1_binary64
126×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
128249
2353049
Stop Event
node limit
Counts
3 → 214
Calls
Call 1
Inputs
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) 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(pow.f64 (sin.f64 B) -2) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) (+.f64 (pow.f64 (sin.f64 B) -2) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 B) -2) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 B) -2) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3)) (+.f64 (pow.f64 (sin.f64 B) -2) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x))) (neg.f64 (*.f64 (sin.f64 B) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 B) -2) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (/.f64 (/.f64 x (tan.f64 B)) (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2))) (neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) 1)) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (tan.f64 B)) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 3)) (+.f64 (pow.f64 (sin.f64 B) -2) (-.f64 (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))))

simplify39.0ms (0.6%)

Algorithm
egg-herbie
Rules
641×associate-*r*_binary64
619×associate-*l*_binary64
531×fma-def_binary64
197×cancel-sign-sub-inv_binary64
115×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01231375
13801366
211731355
Stop Event
node limit
Counts
262 → 247
Calls
Call 1
Inputs
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(pow.f64 (/.f64 1 (sin.f64 B)) 1/3)
(-.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 7)) 1/9) (*.f64 x (cos.f64 B)))))
(-.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 7)) 1/9) (*.f64 (cos.f64 B) x))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 11)) 1/9) (*.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2))))))
(-.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 11)) 1/9) (*.f64 (pow.f64 x 2) (pow.f64 (cos.f64 B) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 7)) 1/9) (*.f64 (cos.f64 B) x))) (*.f64 5/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 5)) 1/3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 B) 3)))))))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 2) 1/3)
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)) 1/3)
(-.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)) 1/3) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 10)) 1/9) (*.f64 x (cos.f64 B)))))
(-.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 14)) 1/9) (*.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 10)) 1/9) (*.f64 (cos.f64 B) x)))))
(-.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 2)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 10)) 1/9) (*.f64 (cos.f64 B) x))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 B) 14)) 1/9) (*.f64 (pow.f64 x 2) (pow.f64 (cos.f64 B) 2)))) (*.f64 4/81 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 B) 3)) (pow.f64 (sin.f64 B) 2))))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
Outputs
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) 1/3)
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))
(pow.f64 (/.f64 1 (sin.f64 B)) 1/3)
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(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))

prune271.0ms (4.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3430343
Fresh044
Picked011
Done011
Total3436349
Error
0b
Counts
349 → 6
Alt Table
StatusErrorProgram
27.2b
(*.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
16.6b
(*.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (/.f64 1 (*.f64 (sin.f64 B) (tan.f64 B))))
30.9b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B)))))
10.6b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
1.3b
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2))
Compiler

Compiled 11554 to 5445 computations (52.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))
0.2b
(/.f64 (tan.f64 B) x)
0.3b
(*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))
9.7b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))

series23.0ms (0.4%)

Counts
4 → 96
Calls

24 calls:

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

rewrite80.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
270×fma-def_binary64
227×log-div_binary64
202×expm1-udef_binary64
202×log1p-udef_binary64
191×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0952
120952
2336852
Stop Event
node limit
Counts
4 → 236
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))
(/.f64 (tan.f64 B) x)
(-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))
Outputs
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x)) (/.f64 (cbrt.f64 (tan.f64 B)) (sqrt.f64 x)) (*.f64 (neg.f64 (sin.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (sin.f64 B))) (-.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (sin.f64 B))) (fma.f64 (neg.f64 (sin.f64 B)) 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (sin.f64 B))) (-.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (sin.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 B))) (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (sin.f64 B))) (-.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (sin.f64 B))) (+.f64 (neg.f64 (sin.f64 B)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))))))))

simplify56.0ms (0.9%)

Algorithm
egg-herbie
Rules
537×associate-+l+_binary64
443×fma-def_binary64
354×associate-+r+_binary64
215×fma-neg_binary64
210×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131688
13081677
29311660
341091657
Stop Event
node limit
Counts
332 → 279
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (pow.f64 B 2) x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 B 4) x)) (/.f64 (pow.f64 B 2) x))
(+.f64 (*.f64 31/360 (/.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 B 4) x)) (/.f64 (pow.f64 B 2) x)))
(+.f64 (*.f64 173/5040 (/.f64 (pow.f64 B 8) x)) (+.f64 (*.f64 31/360 (/.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 B 4) x)) (/.f64 (pow.f64 B 2) x))))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B)))
(/.f64 B x)
(+.f64 (/.f64 B x) (*.f64 1/3 (/.f64 (pow.f64 B 3) x)))
(+.f64 (/.f64 B x) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (*.f64 1/3 (/.f64 (pow.f64 B 3) x))))
(+.f64 (*.f64 17/315 (/.f64 (pow.f64 B 7) x)) (+.f64 (/.f64 B x) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (*.f64 1/3 (/.f64 (pow.f64 B 3) x)))))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(*.f64 (-.f64 (/.f64 1 x) 1) B)
(-.f64 (+.f64 (/.f64 B x) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (*.f64 1/6 (pow.f64 B 3)))) B)
(-.f64 (+.f64 (/.f64 B x) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (*.f64 1/6 (pow.f64 B 3))))) (+.f64 (*.f64 1/120 (pow.f64 B 5)) B))
(-.f64 (+.f64 (*.f64 17/315 (/.f64 (pow.f64 B 7) x)) (+.f64 (*.f64 1/5040 (pow.f64 B 7)) (+.f64 (/.f64 B x) (+.f64 (*.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (*.f64 1/6 (pow.f64 B 3))))))) (+.f64 (*.f64 1/120 (pow.f64 B 5)) B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 -1 (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 -1 (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 1/6 B))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/3 (*.f64 x B) (*.f64 B 1/6)) (/.f64 x B)))
(+.f64 (fma.f64 1/3 (*.f64 x B) (*.f64 B 1/6)) (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/3) 1/6)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (*.f64 1/6 B))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (*.f64 B 1/6)))) (/.f64 x B)))
(+.f64 (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360)))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 x (fma.f64 1/45 (pow.f64 B 3) (*.f64 B 1/3)) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (/.f64 1 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (+.f64 (*.f64 1/45 (*.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/3 (*.f64 B x)) (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (*.f64 2/945 (*.f64 (pow.f64 B 5) x)))))))) (/.f64 x B))
(+.f64 (/.f64 1 B) (-.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (*.f64 2/945 (*.f64 x (pow.f64 B 5)))))))) (/.f64 x B)))
(+.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 1/45 (*.f64 x (pow.f64 B 3)) (fma.f64 1/3 (*.f64 x B) (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (*.f64 x (*.f64 (pow.f64 B 5) 2/945))))))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 x (fma.f64 1/45 (pow.f64 B 3) (*.f64 B 1/3)) (fma.f64 x (*.f64 (pow.f64 B 5) 2/945) (fma.f64 B 1/6 (*.f64 (pow.f64 B 3) 7/360))))) (/.f64 (-.f64 1 x) B))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B))))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (pow.f64 (sin.f64 B) 2)) (*.f64 x (cos.f64 B)))
(*.f64 (*.f64 x (cos.f64 B)) (/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (pow.f64 (sin.f64 B) 2)))
(*.f64 (cos.f64 B) (*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) -1) (/.f64 x (sin.f64 B))))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B))))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (pow.f64 (sin.f64 B) 2)) (*.f64 x (cos.f64 B)))
(*.f64 (*.f64 x (cos.f64 B)) (/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (pow.f64 (sin.f64 B) 2)))
(*.f64 (cos.f64 B) (*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) -1) (/.f64 x (sin.f64 B))))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B))))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (pow.f64 (sin.f64 B) 2)) (*.f64 x (cos.f64 B)))
(*.f64 (*.f64 x (cos.f64 B)) (/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (pow.f64 (sin.f64 B) 2)))
(*.f64 (cos.f64 B) (*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) -1) (/.f64 x (sin.f64 B))))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) 2))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (/.f64 (pow.f64 (sin.f64 B) 2) (*.f64 x (cos.f64 B))))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) (pow.f64 (sin.f64 B) 2)) (*.f64 x (cos.f64 B)))
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prune208.0ms (3.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3172319
Fresh213
Picked011
Done022
Total3196325
Error
0b
Counts
325 → 6
Alt Table
StatusErrorProgram
0.4b
(*.f64 (cos.f64 B) (*.f64 (+.f64 (/.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (sin.f64 B)) -1) (/.f64 x (sin.f64 B))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
0.3b
(*.f64 (/.f64 x (tan.f64 B)) (/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (sin.f64 B)))
1.3b
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 2))
10.6b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
16.6b
(*.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (/.f64 1 (*.f64 (sin.f64 B) (tan.f64 B))))
Compiler

Compiled 7605 to 1881 computations (75.3% saved)

regimes380.0ms (6.3%)

Accuracy

Total 0.1b remaining (86.5%)

Threshold costs 0.1b (86.5%)

Counts
187 → 1
Compiler

Compiled 2789 to 998 computations (64.2% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
12034
22434
32734
42834
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (fma.f64 (/.f64 1 (sin.f64 B)) 1 (/.f64 (neg.f64 x) (tan.f64 B))) (fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 x (tan.f64 B))))
Outputs
(+.f64 (fma.f64 (/.f64 1 (sin.f64 B)) 1 (/.f64 (neg.f64 x) (tan.f64 B))) (fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 x (tan.f64 B))))

end99.0ms (1.6%)

Stop Event
fuel
Compiler

Compiled 160 to 92 computations (42.5% saved)

Profiling

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