Details

Time bar (total: 5.7s)

analyze1.1s (19.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
12.5%87.4%0.1%6
18.7%81.2%0.1%7
25%73.4%1.7%8
28.1%68.7%3.2%9
31.2%62.8%6%10
32.8%60.1%7.1%11
34.3%56.7%9%12
35.1%55.2%9.7%13
35.9%53.4%10.7%14
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.7s (48.4%)

Results
1.3s2446×body1024valid
653.0ms4060×body128valid
448.0ms1124×body512valid
175.0ms622×body256valid
150.0ms177×body128invalid
3.0ms4×body2048valid

preprocess47.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 14 to 11 computations (21.4% saved)

simplify12.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

prune4.0ms (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 1 (sin.f64 B))
✓0.2b
(/.f64 x (tan.f64 B))

series14.0ms (0.2%)

Counts
3 → 52
Calls

15 calls:

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

rewrite88.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify39.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
070833
1194800
2609780
32861778
Stop Event
1×node limit
Counts
282 → 259
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.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 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))
(+.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 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 B (*.f64 x -1/3) (/.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)))))
(-.f64 (fma.f64 (neg.f64 (*.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (*.f64 B -1/3) x (/.f64 x B))) (*.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) (pow.f64 B 5)))
(-.f64 (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 B (*.f64 x -1/3) (/.f64 x B))) (*.f64 (*.f64 x 2/945) (pow.f64 B 5)))
(fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (fma.f64 B (*.f64 x -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 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 (-.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 (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))))
(*.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))))

prune360.0ms (6.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2509259
Fresh101
Picked101
Done000
Total2529261
Error
0.0b
Counts
261 → 9
Alt Table
StatusErrorProgram
37.0b
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
8.7b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
20.6b
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
32.7b
(/.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)))))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
0.5b
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
0.8b
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1)) (/.f64 x (tan.f64 B)))
▶0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
16.3b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
Compiler

Compiled 7679 to 3172 computations (58.7% 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 (sin.f64 B)) (cos.f64 B)))
0.1b
(/.f64 1 (sin.f64 B))
✓0.1b
(/.f64 x (sin.f64 B))
✓0.2b
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))

series14.0ms (0.2%)

Counts
3 → 52
Calls

18 calls:

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

rewrite116.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
810×prod-diff_binary64
194×expm1-udef_binary64
194×log1p-udef_binary64
183×egg-rr
112×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
121631
2302631
Stop Event
1×node limit
Counts
3 → 242
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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))) 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 (neg.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)) (cbrt.f64 (pow.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 (/.f64 x (sin.f64 B)) (cos.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))))))
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simplify74.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
552×fma-neg_binary64
516×fma-def_binary64
315×associate-+l+_binary64
287×associate-*l*_binary64
270×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088978
1274904
2975836
34756836
Stop Event
1×node limit
Counts
294 → 270
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)
(*.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 x B)
(+.f64 (/.f64 x B) (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (*.f64 B (*.f64 x -1/3)))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3) (*.f64 B (*.f64 x -1/3))))
(fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 x (*.f64 B -1/3) (/.f64 x B)))
(+.f64 (/.f64 x B) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5)) (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/3) B (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (fma.f64 -1/5040 x (*.f64 (*.f64 x -1/3) 1/120)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (fma.f64 x -1/5040 (*.f64 x -1/360)))) (pow.f64 B 5) (*.f64 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (fma.f64 (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/336))) (pow.f64 B 5) (*.f64 B (*.f64 x -1/3)))))
(/.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 x B)
(+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B))
(fma.f64 1/6 (*.f64 B x) (/.f64 x B))
(fma.f64 (*.f64 B 1/6) x (/.f64 x B))
(fma.f64 B (*.f64 x 1/6) (/.f64 x B))
(+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))))))
(+.f64 (fma.f64 1/6 (*.f64 B x) (/.f64 x B)) (neg.f64 (*.f64 (pow.f64 B 3) (*.f64 x -7/360))))
(-.f64 (fma.f64 (*.f64 B 1/6) x (/.f64 x B)) (*.f64 x (*.f64 -7/360 (pow.f64 B 3))))
(fma.f64 B (*.f64 x 1/6) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 B 5) (+.f64 (*.f64 1/720 x) (+.f64 (*.f64 -1/5040 x) (*.f64 1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))))))) (+.f64 (*.f64 1/6 (*.f64 B x)) (+.f64 (/.f64 x B) (*.f64 -1 (*.f64 (pow.f64 B 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))))))
(fma.f64 -1 (*.f64 (pow.f64 B 5) (fma.f64 1/720 x (fma.f64 -1/5040 x (*.f64 1/6 (*.f64 x -7/360))))) (+.f64 (fma.f64 1/6 (*.f64 B x) (/.f64 x B)) (neg.f64 (*.f64 (pow.f64 B 3) (*.f64 x -7/360)))))
(-.f64 (-.f64 (fma.f64 (*.f64 B 1/6) x (/.f64 x B)) (*.f64 x (*.f64 -7/360 (pow.f64 B 3)))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x -7/2160) (*.f64 x 1/840))))
(-.f64 (fma.f64 B (*.f64 x 1/6) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B))) (*.f64 (pow.f64 B 5) (*.f64 x -31/15120)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 1/6 (-.f64 (*.f64 x -1/6) (*.f64 x -1/2)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (-.f64 (*.f64 x -1/6) (*.f64 x -1/2))) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (*.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (*.f64 x 1/18)) (-.f64 7/360 (*.f64 x 1/24))))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 31/15120 (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (*.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -1/6 x)) (*.f64 -1/2 x)) B) (+.f64 (*.f64 (-.f64 (+.f64 7/360 (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 31/15120 (-.f64 (fma.f64 -1/6 (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))) (fma.f64 -1/5040 x (*.f64 (*.f64 x -1/3) 1/120))) (*.f64 x -1/720))) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (-.f64 (*.f64 x -1/6) (*.f64 x -1/2))) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 -1/6 (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (fma.f64 x -1/5040 (*.f64 x -1/360))) (-.f64 31/15120 (*.f64 x -1/720))) (+.f64 (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (*.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (*.f64 x 1/18)) (-.f64 7/360 (*.f64 x 1/24))))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (fma.f64 x 1/720 (+.f64 (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/336)) 31/15120)) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (fma.f64 -1/6 (*.f64 x -1/45) (fma.f64 x -1/336 (*.f64 x 1/720)))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B))))
(-.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 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 x (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 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 x (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))))

prune271.0ms (4.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2991300
Fresh268
Picked011
Done000
Total3018309
Error
0.0b
Counts
309 → 8
Alt Table
StatusErrorProgram
20.6b
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
32.7b
(/.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)))))
0.8b
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1)) (/.f64 x (tan.f64 B)))
8.7b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
▶0.2b
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
0.5b
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
✓0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
16.3b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
Compiler

Compiled 9945 to 3279 computations (67% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite73.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
535×prod-diff_binary64
497×log-prod_binary64
174×expm1-udef_binary64
173×log1p-udef_binary64
143×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
119129
2259029
Stop Event
1×node limit
Counts
3 → 154
Calls
Call 1
Inputs
(*.f64 x (cos.f64 B))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 1 (*.f64 x (cos.f64 B)))
Outputs
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((#(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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B)))) (/.f64 x (sqrt.f64 (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))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (sin.f64 B)))) (/.f64 (cos.f64 B) (sqrt.f64 (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))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 x (cos.f64 B))) (sqrt.f64 (sin.f64 B)))) (/.f64 (sqrt.f64 (*.f64 x (cos.f64 B))) (sqrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 (sin.f64 B)) 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(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 B))) 2) (neg.f64 (cbrt.f64 (*.f64 x (cos.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (cos.f64 B))) (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (cos.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 (cos.f64 B)))) (cbrt.f64 (*.f64 x (neg.f64 (cos.f64 B))))) (cbrt.f64 (*.f64 x (neg.f64 (cos.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 (cos.f64 B)))) (sqrt.f64 (*.f64 x (neg.f64 (cos.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (cos.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cos.f64 B)) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 B))) 2)) (cbrt.f64 (*.f64 x (cos.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 B)))) (sqrt.f64 (*.f64 x (cos.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) (cos.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (cos.f64 B)) 2)) (cbrt.f64 (cos.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (cos.f64 B))) (sqrt.f64 (cos.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x (cos.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (neg.f64 (cos.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 (cos.f64 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x (cos.f64 B)))))))))

simplify42.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
405×distribute-rgt-in_binary64
374×fma-def_binary64
202×associate-+l+_binary64
195×fma-neg_binary64
185×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0851046
1237902
2694888
32884847
Stop Event
1×node limit
Counts
226 → 187
Calls
Call 1
Inputs
(*.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 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)))
(*.f64 (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 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 (*.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 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
1
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(*.f64 -1 (*.f64 (cos.f64 B) x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 B 2) x))) x)
(-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 B 2) x)))) x)
(-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 B 2) x)) (*.f64 1/720 (*.f64 (pow.f64 B 6) x))))) x)
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
Outputs
(*.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 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)
(fma.f64 (*.f64 -1/2 (*.f64 B B)) x x)
(fma.f64 x (*.f64 -1/2 (*.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 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 (*.f64 -1/2 (*.f64 B B)) x x))
(fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (*.f64 -1/2 (*.f64 B B))) 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 -1/720 (*.f64 x (pow.f64 B 6)) (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 (*.f64 -1/2 (*.f64 B B)) x 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 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4))) (fma.f64 -1/2 (*.f64 B B) 1)))
(*.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 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 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.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 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.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 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 -1 (/.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) (neg.f64 x)) (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 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.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 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.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 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 -1 (/.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) (neg.f64 x)) (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 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.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 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.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 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (fma.f64 x -1/24 (*.f64 (-.f64 1 x) -1/120)) (+.f64 (*.f64 x -1/12) (*.f64 (-.f64 1 x) -1/36))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (*.f64 x -1/24) (+.f64 (*.f64 x -1/12) (*.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 -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))) (*.f64 (-.f64 1 x) -1/5040)))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (*.f64 (-.f64 (*.f64 x 1/720) (fma.f64 -1/6 (-.f64 (fma.f64 x -1/24 (*.f64 (-.f64 1 x) -1/120)) (+.f64 (*.f64 x -1/12) (*.f64 (-.f64 1 x) -1/36))) (fma.f64 (-.f64 1 x) -1/5040 (+.f64 (*.f64 (-.f64 1 x) 1/720) (*.f64 x 1/240))))) (pow.f64 B 5)) (fma.f64 (-.f64 (fma.f64 x -1/24 (*.f64 (-.f64 1 x) -1/120)) (+.f64 (*.f64 x -1/12) (*.f64 (-.f64 1 x) -1/36))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B))))
(+.f64 (*.f64 (-.f64 (*.f64 x 1/720) (fma.f64 -1/6 (-.f64 (*.f64 x -1/24) (+.f64 (*.f64 x -1/12) (*.f64 (-.f64 1 x) -7/360))) (+.f64 (*.f64 x 1/240) (*.f64 (-.f64 1 x) 1/840)))) (pow.f64 B 5)) (fma.f64 (-.f64 (*.f64 x -1/24) (+.f64 (*.f64 x -1/12) (*.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 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))
1
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 (*.f64 (cos.f64 B) x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 (*.f64 (cos.f64 B) x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 (*.f64 (cos.f64 B) x))
(*.f64 -1 (*.f64 (cos.f64 B) x))
(neg.f64 (*.f64 (cos.f64 B) x))
(*.f64 (cos.f64 B) (neg.f64 x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 (*.f64 (cos.f64 B) x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 (*.f64 (cos.f64 B) x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 (*.f64 (cos.f64 B) x))
(*.f64 -1 (*.f64 (cos.f64 B) x))
(neg.f64 (*.f64 (cos.f64 B) x))
(*.f64 (cos.f64 B) (neg.f64 x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 (*.f64 (cos.f64 B) x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 (*.f64 (cos.f64 B) x))
(+.f64 1 (*.f64 -1 (*.f64 (cos.f64 B) x)))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 B 2) x))) x)
(+.f64 1 (-.f64 (*.f64 (*.f64 x (*.f64 B B)) 1/2) x))
(-.f64 (fma.f64 (*.f64 x (*.f64 B B)) 1/2 1) x)
(-.f64 (fma.f64 x (*.f64 B (*.f64 B 1/2)) 1) x)
(-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 B 2) x)))) x)
(-.f64 (fma.f64 -1/24 (*.f64 x (pow.f64 B 4)) (+.f64 1 (*.f64 (*.f64 x (*.f64 B B)) 1/2))) x)
(-.f64 (fma.f64 (*.f64 x (pow.f64 B 4)) -1/24 (fma.f64 (*.f64 x (*.f64 B B)) 1/2 1)) x)
(fma.f64 x (*.f64 (pow.f64 B 4) -1/24) (-.f64 (fma.f64 x (*.f64 B (*.f64 B 1/2)) 1) x))
(-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 B 2) x)) (*.f64 1/720 (*.f64 (pow.f64 B 6) x))))) x)
(-.f64 (fma.f64 -1/24 (*.f64 x (pow.f64 B 4)) (+.f64 1 (fma.f64 1/2 (*.f64 x (*.f64 B B)) (*.f64 (*.f64 x (pow.f64 B 6)) 1/720)))) x)
(+.f64 (fma.f64 (*.f64 x (pow.f64 B 4)) -1/24 1) (-.f64 (*.f64 x (+.f64 (*.f64 1/2 (*.f64 B B)) (*.f64 (pow.f64 B 6) 1/720))) x))
(fma.f64 x (*.f64 (pow.f64 B 4) -1/24) (fma.f64 x (fma.f64 (pow.f64 B 6) 1/720 (*.f64 B (*.f64 B 1/2))) (-.f64 1 x)))
(-.f64 (fma.f64 x (fma.f64 (pow.f64 B 6) 1/720 (*.f64 B (*.f64 B 1/2))) 1) (fma.f64 x (*.f64 1/24 (pow.f64 B 4)) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))
(-.f64 1 (*.f64 (cos.f64 B) x))

prune191.0ms (3.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1870187
Fresh066
Picked011
Done011
Total1878195
Error
0.0b
Counts
195 → 8
Alt Table
StatusErrorProgram
20.6b
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
32.7b
(/.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)))))
0.8b
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1)) (/.f64 x (tan.f64 B)))
8.7b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
✓0.2b
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
▶0.5b
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
✓0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
16.3b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
Compiler

Compiled 5120 to 2208 computations (56.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (sin.f64 B))
0.2b
(/.f64 x (tan.f64 B))
✓0.6b
(cbrt.f64 (/.f64 x (tan.f64 B)))
✓0.7b
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)

series20.0ms (0.4%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
3.0ms
B
@inf
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
3.0ms
B
@-inf
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
2.0ms
B
@0
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)

rewrite43.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
752×pow1_binary64
705×log1p-expm1-u_binary64
705×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
73×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
117514
2192714
Stop Event
1×node limit
Counts
2 → 78
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)
(cbrt.f64 (/.f64 x (tan.f64 B)))
Outputs
((#(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 (/.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 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (tan.f64 B)) 1/6) (*.f64 (pow.f64 (/.f64 x (tan.f64 B)) 1/6) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) 2) 3) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) 1) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (pow.f64 (/.f64 x (tan.f64 B)) 1/6)) (pow.f64 (/.f64 x (tan.f64 B)) 1/6))))) (#(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 1 (/.f64 (/.f64 (tan.f64 B) x) 1))))) (#(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) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (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 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (cbrt.f64 x)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (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 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 exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 x (tan.f64 B))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (/.f64 1 (tan.f64 B)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (tan.f64 B)) 1/6) (pow.f64 (/.f64 x (tan.f64 B)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 1/3) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (tan.f64 B)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))))

simplify76.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
728×sqr-pow_binary64
370×cube-prod_binary64
362×unswap-sqr_binary64
313×pow-sqr_binary64
283×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09192
118192
227192
339192
462192
5137192
6524192
71186192
81276192
91412192
101573192
111804192
122129192
132553192
143056192
153654192
164381192
174702192
184990192
Stop Event
1×node limit
Counts
94 → 82
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))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(*.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 (cos.f64 B) (/.f64 x (sin.f64 B)))
(*.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 (cos.f64 B) (/.f64 x (sin.f64 B)))
(*.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 (cos.f64 B) (/.f64 x (sin.f64 B)))
(*.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 (cos.f64 B) (/.f64 x (sin.f64 B)))
(*.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 (cos.f64 B) (/.f64 x (sin.f64 B)))
(*.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 (cos.f64 B) (/.f64 x (sin.f64 B)))
(*.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 (cos.f64 B) (/.f64 x (sin.f64 B)))
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) 1/3)
(cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(cbrt.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(cbrt.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(cbrt.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))

prune139.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh055
Picked011
Done022
Total1548162
Error
0.0b
Counts
162 → 8
Alt Table
StatusErrorProgram
20.6b
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
32.7b
(/.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)))))
0.8b
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1)) (/.f64 x (tan.f64 B)))
8.7b
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
✓0.2b
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
✓0.5b
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
✓0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
16.3b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
Compiler

Compiled 2660 to 1343 computations (49.5% saved)

regimes144.0ms (2.5%)

Accuracy

Total -63.8b remaining (-45373.1%)

Threshold costs -63.8b (-45373.1%)

Counts
65 → 1
Calls
Call 1
Inputs
(-.f64 (/.f64 1 B) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
(-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (tan.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))
(pow.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 x (cos.f64 B)))) -1)
(*.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (/.f64 1 (sin.f64 B)))
(/.f64 (-.f64 1 (log.f64 (pow.f64 (exp.f64 x) (cos.f64 B)))) (sin.f64 B))
(/.f64 (-.f64 1 (-.f64 (fma.f64 x (cos.f64 B) 1) 1)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B)) 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B)))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))) 3)
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 (sin.f64 B) (*.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))) (pow.f64 (sin.f64 B) 2))
(*.f64 1 (/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))
(/.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)))))
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (*.f64 (tan.f64 B) (sin.f64 B)))
(*.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3)) (/.f64 1 (+.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 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.f64 B))))
(*.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))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B))))) (/.f64 x (tan.f64 B)))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -3) 1/3) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2)) (/.f64 x (tan.f64 B)))
(-.f64 (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (/.f64 x (tan.f64 B)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) 1) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B)))))
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (/.f64 (tan.f64 B) x) -1))
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 B)))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B)))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 1 (tan.f64 B))))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(/.f64 (-.f64 1 x) B)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(-.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 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Results
30.0ms0.1bB
37.0ms0.1bx
35.0ms0.1b(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Compiler

Compiled 845 to 387 computations (54.2% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

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

end18.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 22 to 16 computations (27.3% saved)

Profiling

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