Details

Time bar (total: 9.2s)

analyze311.0ms (3.4%)

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
Compiler

Compiled 15 to 12 computations (20% saved)

sample2.4s (25.9%)

Results
1.2s2338×body1024valid
795.0ms4720×body256valid
358.0ms1191×body512valid
56.0ms358×body256invalid
5.0ms7×body2048valid
0.0ms1×body1024invalid
0.0ms1×body512invalid

preprocess48.0ms (0.5%)

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 16 to 13 computations (18.8% saved)

simplify12.0ms (0.1%)

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)))

eval1.0ms (0%)

Compiler

Compiled 23 to 15 computations (34.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 25 to 19 computations (24% saved)

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (tan.f64 B))
0.1b
(/.f64 1 (sin.f64 B))
0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
0.0b
(sin.f64 B)
✓0.0b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
✓0.1b
(/.f64 1 (sin.f64 B))
✓0.2b
(/.f64 1 (tan.f64 B))
✓0.3b
(*.f64 x (/.f64 1 (tan.f64 B)))
Compiler

Compiled 42 to 23 computations (45.2% saved)

series14.0ms (0.2%)

Counts
4 → 64
Calls

18 calls:

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

rewrite73.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
124032
2333632
Stop Event
1×node limit
Counts
4 → 208
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 (tan.f64 B)))
(/.f64 1 (tan.f64 B))
(/.f64 1 (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 3)) (+.f64 0 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (*.f64 0 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (tan.f64 B)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (tan.f64 B))) (cbrt.f64 (pow.f64 (tan.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 B) -2)) (cbrt.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 B) -1/2) (pow.f64 (tan.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (cbrt.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (tan.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (tan.f64 B)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 B))))))))
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(tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (/.f64 1 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) (/.f64 1 (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (tan.f64 B) -2))) (cbrt.f64 (/.f64 1 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) -1/2)) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (tan.f64 B) -2))) (cbrt.f64 (/.f64 1 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (tan.f64 B) -1/2)) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))))

simplify62.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
082946
1225913
2686893
33075889
47492889
Stop Event
1×node limit
Counts
272 → 244
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3))))
(fma.f64 B (*.f64 x -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B)))
(+.f64 (/.f64 x B) (*.f64 x (fma.f64 (pow.f64 B 3) -1/45 (*.f64 B -1/3))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (*.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (*.f64 (*.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(-.f64 (-.f64 (fma.f64 (*.f64 B -1/3) x (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3)))) (*.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) (pow.f64 B 5)))
(-.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 (*.f64 x 1/45) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (pow.f64 B 5) (*.f64 x -2/945) (*.f64 x (fma.f64 (pow.f64 B 3) -1/45 (*.f64 B -1/3)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(fma.f64 -1/3 B (/.f64 1 B))
(fma.f64 B -1/3 (/.f64 1 B))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B)))
(+.f64 (*.f64 -1/3 B) (+.f64 (*.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (fma.f64 (pow.f64 B 5) -2/945 (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 5) -2/945 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

Compiled 26 to 11 computations (57.7% saved)

series5.0ms (0.1%)

Counts
3 → 52
Calls

15 calls:

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

rewrite97.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119923
2291123
Stop Event
1×node limit
Counts
3 → 270
Calls
Call 1
Inputs
(/.f64 x (tan.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(sin.f64 B)
Outputs
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(+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(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 +.f64 0 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 B))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 B)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 B))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 B))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 B)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 B)) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 B)) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 B)))))))

simplify62.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
073830
1196797
2622777
33021775
47496775
Stop Event
1×node limit
Counts
322 → 299
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
B
(+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)
(+.f64 (*.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(+.f64 (*.f64 -1/5040 (pow.f64 B 7)) (+.f64 (*.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) 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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x)))
(fma.f64 -1/3 (*.f64 B 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))))
(-.f64 (fma.f64 -1/3 (*.f64 B x) (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3))))
(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 (-.f64 (fma.f64 -1/3 (*.f64 B x) (/.f64 x B)) (*.f64 x (*.f64 1/45 (pow.f64 B 3)))) (*.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) (pow.f64 B 5)))
(-.f64 (fma.f64 B (*.f64 x -1/3) (/.f64 x B)) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 x (*.f64 (pow.f64 B 3) 1/45))))
(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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (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 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 31/15120 (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 7/360 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (*.f64 -1/3 (*.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 (*.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (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 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (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 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (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 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 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 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (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 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (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 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 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 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (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 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (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 (cos.f64 B) (/.f64 x (sin.f64 B))))
B
(+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)
(fma.f64 -1/6 (pow.f64 B 3) B)
(fma.f64 (pow.f64 B 3) -1/6 B)
(+.f64 (*.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B))
(fma.f64 1/120 (pow.f64 B 5) (fma.f64 -1/6 (pow.f64 B 3) B))
(fma.f64 (pow.f64 B 5) 1/120 (fma.f64 (pow.f64 B 3) -1/6 B))
(fma.f64 (pow.f64 B 3) -1/6 (fma.f64 (pow.f64 B 5) 1/120 B))
(+.f64 (*.f64 -1/5040 (pow.f64 B 7)) (+.f64 (*.f64 1/120 (pow.f64 B 5)) (+.f64 (*.f64 -1/6 (pow.f64 B 3)) B)))
(fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 1/120 (pow.f64 B 5) (fma.f64 -1/6 (pow.f64 B 3) B)))
(fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 (pow.f64 B 5) 1/120 (fma.f64 (pow.f64 B 3) -1/6 B)))
(fma.f64 (pow.f64 B 5) 1/120 (fma.f64 -1/5040 (pow.f64 B 7) (fma.f64 (pow.f64 B 3) -1/6 B)))

eval189.0ms (2.1%)

Compiler

Compiled 12088 to 5441 computations (55% saved)

prune102.0ms (1.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New56320583
Fresh000
Picked011
Done101
Total56421585
Error
0b
Counts
585 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
35.5b
(-.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))
✓0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.8b
(-.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 3) (/.f64 x (tan.f64 B)))
23.8b
(/.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))))
34.7b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
35.0b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
0.6b
(+.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 B) (cbrt.f64 x)))) (/.f64 1 (sin.f64 B)))
▶37.3b
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
▶26.3b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))
31.3b
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
0.2b
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
37.2b
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
18.8b
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
▶0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
37.3b
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
▶27.1b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
25.6b
(/.f64 1 (sin.f64 B))
▶34.8b
(/.f64 (-.f64 1 x) B)
27.0b
(-.f64 (/.f64 1 (log.f64 (exp.f64 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
17.8b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
27.2b
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
Compiler

Compiled 569 to 414 computations (27.2% saved)

localize15.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiled 36 to 12 computations (66.7% saved)

series62.0ms (0.7%)

Counts
3 → 52
Calls

18 calls:

TimeVariablePointExpression
52.0ms
B
@0
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
1.0ms
B
@inf
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
1.0ms
B
@-inf
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
1.0ms
B
@-inf
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
1.0ms
x
@0
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))

rewrite130.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
818×prod-diff_binary64
554×log-prod_binary64
285×pow2_binary64
242×fma-def_binary64
200×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
121631
2302431
Stop Event
1×node limit
Counts
3 → 270
Calls
Call 1
Inputs
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
Outputs
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((x fma.f64 (*.f64 (neg.f64 (cos.f64 B)) (sqrt.f64 (/.f64 x (sin.f64 B)))) (sqrt.f64 (/.f64 x (sin.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))))))))

simplify56.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
088978
1274904
2977836
34759818
Stop Event
1×node limit
Counts
322 → 297
Calls
Call 1
Inputs
(/.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 (*.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 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 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 x (*.f64 -1/3 B))))
(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 (*.f64 x -1/720) (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/336))) (pow.f64 B 5) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (*.f64 (*.f64 x B) -1/3))))
(+.f64 (/.f64 x B) (fma.f64 x (*.f64 B -1/3) (fma.f64 (*.f64 x -1/45) (pow.f64 B 3) (*.f64 (neg.f64 (pow.f64 B 5)) (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/630))))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 x B)
(+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B))
(fma.f64 1/6 (*.f64 x B) (/.f64 x B))
(fma.f64 x (*.f64 B 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 x B) (/.f64 x B)) (neg.f64 (*.f64 (pow.f64 B 3) (*.f64 x -7/360))))
(-.f64 (fma.f64 1/6 (*.f64 x B) (/.f64 x B)) (*.f64 (pow.f64 B 3) (*.f64 x -7/360)))
(fma.f64 x (*.f64 B 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 x B) (/.f64 x B)) (neg.f64 (*.f64 (pow.f64 B 3) (*.f64 x -7/360)))))
(-.f64 (-.f64 (fma.f64 1/6 (*.f64 x B) (/.f64 x B)) (*.f64 (pow.f64 B 3) (*.f64 x -7/360))) (*.f64 (pow.f64 B 5) (+.f64 (*.f64 x -7/2160) (*.f64 x 1/840))))
(-.f64 (fma.f64 x (*.f64 B 1/6) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B))) (*.f64 (pow.f64 B 5) (*.f64 x -31/15120)))
(fma.f64 (pow.f64 B 5) (*.f64 x 31/15120) (fma.f64 x (*.f64 B 1/6) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B))))
(/.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 (fma.f64 x 1/120 7/360) (*.f64 x 1/72)) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)) (/.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 (fma.f64 -1/6 (*.f64 x -1/45) (+.f64 (*.f64 x -1/336) 31/15120))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 7/360) (*.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) (*.f64 x -1/630))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (*.f64 x 1/45)) (/.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))))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite60.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
217957
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 B) (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (-.f64 1 x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)))))))

simplify18.0ms (0.2%)

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

Useful iterations: 8 (0.0ms)

IterNodesCost
09115
117106
225106
335106
448106
572106
6128106
7250106
848779
972679
1082379
1188679
Stop Event
1×saturated
Counts
45 → 38
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
Outputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/6 B)
0.1b
(/.f64 x (tan.f64 B))
0.0b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
0.0b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
✓0.0b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
✓0.0b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
0.1b
(/.f64 x (tan.f64 B))
✓0.3b
(*.f64 1/6 B)
Compiler

Compiled 37 to 21 computations (43.2% saved)

series10.0ms (0.1%)

Counts
3 → 27
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@0
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
1.0ms
B
@inf
(*.f64 1/6 B)
1.0ms
B
@0
(*.f64 1/6 B)
0.0ms
B
@-inf
(*.f64 1/6 B)
0.0ms
B
@0
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))

rewrite87.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
125128
2374028
Stop Event
1×node limit
Counts
3 → 229
Calls
Call 1
Inputs
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
Outputs
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simplify41.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
516×cancel-sign-sub-inv_binary64
483×*-commutative_binary64
442×associate--l+_binary64
377×associate--r+_binary64
361×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053481
1139453
2352449
31473445
43251445
Stop Event
1×node limit
Counts
256 → 247
Calls
Call 1
Inputs
(/.f64 1 B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
Outputs
(/.f64 1 B)
(*.f64 1/6 B)
(*.f64 B 1/6)
(*.f64 1/6 B)
(*.f64 B 1/6)
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 1/6 (*.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)))
(fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (fma.f64 17/315 x (fma.f64 -1/3 (*.f64 x 1/45) (*.f64 x -2/45))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (*.f64 x 1/45) (pow.f64 B 3) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (fma.f64 x 17/315 (fma.f64 x -2/45 (*.f64 x -1/135))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (*.f64 (fma.f64 x 17/315 (*.f64 x -7/135)) (pow.f64 B 5)) (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))))
(+.f64 (*.f64 (*.f64 x 2/945) (pow.f64 B 5)) (fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))))
(fma.f64 x (*.f64 (pow.f64 B 3) 1/45) (+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 B (fma.f64 x 1/3 1/6)))))
(*.f64 1/6 B)
(*.f64 B 1/6)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 1/6 B (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 B 1/6) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (*.f64 B 1/6) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(*.f64 1/6 B)
(*.f64 B 1/6)
(+.f64 (*.f64 1/6 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 1/6 B (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
(-.f64 (*.f64 B 1/6) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (*.f64 B 1/6) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (*.f64 B 1/6) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))
(+.f64 (*.f64 1/6 B) (+.f64 (/.f64 1 B) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))
(fma.f64 1/6 B (fma.f64 -1 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 B) (fma.f64 x (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 B -1/6)))

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (sin.f64 B) (cos.f64 B))
0.1b
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
0.0b
(sin.f64 B)
0.0b
(sin.f64 B)
✓0.1b
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
✓0.2b
(/.f64 (sin.f64 B) (cos.f64 B))
Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite57.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
896×pow1_binary64
830×add-log-exp_binary64
829×log1p-expm1-u_binary64
829×expm1-log1p-u_binary64
811×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11769
226539
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(/.f64 (sin.f64 B) (cos.f64 B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 B) (/.f64 1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 B)) (pow.f64 (cbrt.f64 (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (*.f64 (cbrt.f64 (sin.f64 B)) (/.f64 1 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 B)) (sqrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 B)) (*.f64 (sqrt.f64 (sin.f64 B)) (/.f64 1 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 B)) (/.f64 1 (neg.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 B)) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 B)) (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 B)) 1) (/.f64 (sqrt.f64 (sin.f64 B)) (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 B)) 2)) (/.f64 (sin.f64 B) (cbrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (pow.f64 (cbrt.f64 (cos.f64 B)) 2)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 B)) (pow.f64 (cbrt.f64 (cos.f64 B)) 2)) (/.f64 (sqrt.f64 (sin.f64 B)) (cbrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cos.f64 B))) (/.f64 (sin.f64 B) (sqrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (sqrt.f64 (cos.f64 B))) (/.f64 (cbrt.f64 (sin.f64 B)) (sqrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 B) (neg.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (cos.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 B)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 B)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (tan.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 1 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 B)) (/.f64 (cbrt.f64 x) (/.f64 1 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sin.f64 B)) (/.f64 (sqrt.f64 x) (/.f64 1 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (/.f64 1 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (tan.f64 B))) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sin.f64 B)) 1) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sin.f64 B)) (pow.f64 (cbrt.f64 (cos.f64 B)) 2)) (cbrt.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (sin.f64 B)) (sqrt.f64 (cos.f64 B))) (sqrt.f64 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))))

simplify36.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
889×fma-neg_binary64
681×cancel-sign-sub-inv_binary64
512×distribute-rgt-in_binary64
465×distribute-lft-in_binary64
348×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062458
1183424
2578398
32480392
Stop Event
1×node limit
Counts
107 → 96
Calls
Call 1
Inputs
B
(+.f64 (*.f64 1/3 (pow.f64 B 3)) B)
(+.f64 (*.f64 1/3 (pow.f64 B 3)) (+.f64 (*.f64 2/15 (pow.f64 B 5)) B))
(+.f64 (*.f64 1/3 (pow.f64 B 3)) (+.f64 (*.f64 2/15 (pow.f64 B 5)) (+.f64 (*.f64 17/315 (pow.f64 B 7)) B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5))) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
Outputs
B
(+.f64 (*.f64 1/3 (pow.f64 B 3)) B)
(fma.f64 1/3 (pow.f64 B 3) B)
(+.f64 (*.f64 1/3 (pow.f64 B 3)) (+.f64 (*.f64 2/15 (pow.f64 B 5)) B))
(fma.f64 1/3 (pow.f64 B 3) (fma.f64 2/15 (pow.f64 B 5) B))
(+.f64 (*.f64 1/3 (pow.f64 B 3)) (+.f64 (*.f64 2/15 (pow.f64 B 5)) (+.f64 (*.f64 17/315 (pow.f64 B 7)) B)))
(fma.f64 1/3 (pow.f64 B 3) (fma.f64 2/15 (pow.f64 B 5) (fma.f64 17/315 (pow.f64 B 7) B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(*.f64 -1 (+.f64 (/.f64 x B) (*.f64 B (*.f64 x -1/3))))
(-.f64 (/.f64 (neg.f64 x) B) (*.f64 B (*.f64 x -1/3)))
(fma.f64 B (*.f64 1/3 x) (/.f64 (neg.f64 x) B))
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(fma.f64 -1 (/.f64 x B) (fma.f64 -1 (*.f64 B (*.f64 x -1/3)) (neg.f64 (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3))))))))
(-.f64 (neg.f64 (fma.f64 B (*.f64 x -1/3) (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/30) (*.f64 x 1/18))))) (/.f64 x B))
(-.f64 (*.f64 (pow.f64 B 3) (neg.f64 (*.f64 x -1/45))) (fma.f64 B (*.f64 x -1/3) (/.f64 x B)))
(-.f64 (*.f64 (pow.f64 B 3) (*.f64 x 1/45)) (fma.f64 B (*.f64 x -1/3) (/.f64 x B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (+.f64 (*.f64 -1/5040 x) (*.f64 1/120 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)))))) (pow.f64 B 5))) (*.f64 -1 (*.f64 (-.f64 (*.f64 1/24 x) (+.f64 (*.f64 1/120 x) (*.f64 -1/6 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))))
(fma.f64 -1 (/.f64 x B) (fma.f64 -1 (*.f64 B (*.f64 x -1/3)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 B 5) (-.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))))) (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))))))))
(-.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 B 5) (-.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)))) (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/30) (*.f64 x 1/18))))) (*.f64 B (*.f64 x -1/3))) (/.f64 x B))
(-.f64 (fma.f64 B (*.f64 1/3 x) (/.f64 (neg.f64 x) B)) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (*.f64 (pow.f64 B 5) (fma.f64 x -1/720 (-.f64 (*.f64 (*.f64 x -1/45) 1/6) (*.f64 x -1/336))))))
(-.f64 (*.f64 B (fma.f64 1/3 x (*.f64 B (*.f64 B (*.f64 x 1/45))))) (+.f64 (*.f64 (pow.f64 B 5) (+.f64 (*.f64 -1/6 (*.f64 x 1/45)) (*.f64 x 1/630))) (/.f64 x B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.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 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (sin.f64 B) -2)
0.1b
(/.f64 x (tan.f64 B))
0.0b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))
0.0b
(sin.f64 B)
✓0.0b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))
0.1b
(/.f64 x (tan.f64 B))
✓0.2b
(pow.f64 (sin.f64 B) -2)
✓11.5b
(sqrt.f64 (pow.f64 (sin.f64 B) -2))
Compiler

Compiled 32 to 15 computations (53.1% saved)

series5.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
B
@inf
(pow.f64 (sin.f64 B) -2)
1.0ms
B
@-inf
(pow.f64 (sin.f64 B) -2)
1.0ms
B
@0
(pow.f64 (sin.f64 B) -2)
0.0ms
B
@0
(sqrt.f64 (pow.f64 (sin.f64 B) -2))
0.0ms
B
@0
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))

rewrite104.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
768×prod-diff_binary64
517×log-prod_binary64
291×pow2_binary64
274×fma-def_binary64
200×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
122226
2296826
Stop Event
1×node limit
Counts
3 → 228
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (sin.f64 B) -2))
(pow.f64 (sin.f64 B) -2)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 (sin.f64 B))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 B) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -4)) (pow.f64 (cbrt.f64 (sin.f64 B)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (cbrt.f64 (pow.f64 (sin.f64 B) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (*.f64 (pow.f64 (sin.f64 B) -1/2) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -3/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -4) (pow.f64 (cbrt.f64 (sin.f64 B)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (cbrt.f64 (sin.f64 B)) -2)) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 B) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 B) -2)))))))
((#(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 (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 (/.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 (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))) (+.f64 (/.f64 (neg.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 -1 (/.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 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.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 x) (/.f64 1 (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sin.f64 B)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) 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(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
799×cancel-sign-sub-inv_binary64
648×fma-neg_binary64
482×associate-*l*_binary64
433×associate-*r*_binary64
327×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076702
1194681
2513673
32099669
45430669
Stop Event
1×node limit
Counts
276 → 256
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (pow.f64 B 2))
(+.f64 1/3 (/.f64 1 (pow.f64 B 2)))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 B 2)) (*.f64 1/15 (pow.f64 B 2))))
(+.f64 1/3 (+.f64 (*.f64 2/189 (pow.f64 B 4)) (+.f64 (/.f64 1 (pow.f64 B 2)) (*.f64 1/15 (pow.f64 B 2)))))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.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 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (pow.f64 B 2))
(/.f64 1 (*.f64 B B))
(+.f64 1/3 (/.f64 1 (pow.f64 B 2)))
(+.f64 (/.f64 1 (*.f64 B B)) 1/3)
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 B 2)) (*.f64 1/15 (pow.f64 B 2))))
(+.f64 1/3 (+.f64 (/.f64 1 (*.f64 B B)) (*.f64 (*.f64 B B) 1/15)))
(+.f64 1/3 (fma.f64 (*.f64 B B) 1/15 (/.f64 1 (*.f64 B B))))
(+.f64 (/.f64 1 (*.f64 B B)) (fma.f64 (*.f64 B B) 1/15 1/3))
(+.f64 (/.f64 1 (*.f64 B B)) (fma.f64 B (*.f64 B 1/15) 1/3))
(+.f64 1/3 (+.f64 (*.f64 2/189 (pow.f64 B 4)) (+.f64 (/.f64 1 (pow.f64 B 2)) (*.f64 1/15 (pow.f64 B 2)))))
(+.f64 1/3 (fma.f64 2/189 (pow.f64 B 4) (+.f64 (/.f64 1 (*.f64 B B)) (*.f64 (*.f64 B B) 1/15))))
(+.f64 1/3 (fma.f64 2/189 (pow.f64 B 4) (fma.f64 (*.f64 B B) 1/15 (/.f64 1 (*.f64 B B)))))
(+.f64 (fma.f64 B (*.f64 B 1/15) (/.f64 1 (*.f64 B B))) (fma.f64 2/189 (pow.f64 B 4) 1/3))
(fma.f64 2/189 (pow.f64 B 4) (+.f64 (/.f64 1 (*.f64 B B)) (fma.f64 B (*.f64 B 1/15) 1/3)))
(+.f64 1/3 (fma.f64 B (*.f64 B 1/15) (fma.f64 2/189 (pow.f64 B 4) (/.f64 1 (*.f64 B B)))))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.f64 1 (pow.f64 (sin.f64 B) 2))
(/.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 1/3 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 1/3 x 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 1/3 x)) B (fma.f64 (+.f64 7/360 (*.f64 x 1/45)) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 1/3 x 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 1/3 x 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 31/15120 (fma.f64 -2/45 x (*.f64 (*.f64 x 1/45) -1/3)))) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 1/3 x)) B (fma.f64 (+.f64 7/360 (*.f64 x 1/45)) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 x -2/45 (*.f64 x -1/135)) (fma.f64 x 17/315 31/15120)) (+.f64 (fma.f64 B (fma.f64 1/3 x 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (fma.f64 x 17/315 (*.f64 x -7/135))) (fma.f64 B (fma.f64 1/3 x 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (*.f64 x 2/945)) (fma.f64 B (fma.f64 1/3 x 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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.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 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.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))))

eval418.0ms (4.6%)

Compiler

Compiled 25296 to 10613 computations (58% saved)

prune206.0ms (2.2%)

Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1087201107
Fresh10515
Picked101
Done325
Total1101271128
Error
0b
Counts
1128 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
42.7b
(/.f64 (neg.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 B) 3)) (cos.f64 B)))
35.5b
(-.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))
✓0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
▶34.6b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (pow.f64 (/.f64 (sin.f64 B) x) -1)))
53.3b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
42.6b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x B))
23.8b
(/.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))))
1.2b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 3)
35.0b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
46.3b
(/.f64 (neg.f64 x) (-.f64 (+.f64 1 (tan.f64 B)) 1))
37.2b
(/.f64 (neg.f64 x) (tan.f64 B))
34.8b
(*.f64 (-.f64 1 x) (/.f64 1 B))
35.0b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
27.0b
(-.f64 (/.f64 1 (log.f64 (exp.f64 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
▶0.2b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
53.3b
(/.f64 (neg.f64 x) B)
25.6b
(/.f64 1 (sin.f64 B))
43.5b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
▶37.2b
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
▶43.8b
(/.f64 1 B)
53.3b
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
37.3b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
✓34.8b
(/.f64 (-.f64 1 x) B)
34.9b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
▶17.8b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
34.7b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
Compiler

Compiled 654 to 477 computations (27.1% saved)

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiled 28 to 11 computations (60.7% saved)

series7.0ms (0.1%)

Counts
2 → 20
Calls

12 calls:

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

rewrite82.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119120
2259020
Stop Event
1×node limit
Counts
2 → 126
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 (cos.f64 B) x)
Outputs
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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3) (pow.f64 (sin.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (neg.f64 (sin.f64 B))))))) (#(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 cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3) (pow.f64 (sin.f64 B) 3)))))) (#(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 B))) (sqrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.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 +.f64 0 (*.f64 (cos.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 B) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 B) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (cos.f64 B) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cos.f64 B) x)))) (sqrt.f64 (log.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 B) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 B) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 B) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (cos.f64 B) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 B) x 1)) 2) (cbrt.f64 (fma.f64 (cos.f64 B) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (cos.f64 B) x 1)) (sqrt.f64 (fma.f64 (cos.f64 B) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 B) x)))))))

simplify49.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
571×sub-neg_binary64
404×distribute-rgt-in_binary64
397×unsub-neg_binary64
372×distribute-lft-in_binary64
335×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070506
1184468
2539458
32290395
46110395
Stop Event
1×node limit
Counts
146 → 145
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (+.f64 (*.f64 (-.f64 (*.f64 1/720 x) (+.f64 (*.f64 1/120 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/24 x) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x)))) (*.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/6 (-.f64 1 x))) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (-.f64 (*.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (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 1 x) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (+.f64 (*.f64 x 1/24) (*.f64 (+.f64 x -1) -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 (-.f64 1 x) -1/5040 (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))) (+.f64 (*.f64 x 1/240) (*.f64 (-.f64 1 x) 1/720))))) (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 (*.f64 x -1/360) (*.f64 (-.f64 1 x) 1/840)) (*.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) 1/6)) (pow.f64 B 5)) (fma.f64 (-.f64 (*.f64 x 1/24) (*.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))))
(+.f64 (*.f64 (+.f64 (+.f64 (*.f64 x -1/360) (*.f64 (+.f64 x -1) 1/840)) (*.f64 (+.f64 (*.f64 x 1/24) (*.f64 (+.f64 x -1) -7/360)) 1/6)) (pow.f64 B 5)) (fma.f64 (+.f64 (*.f64 x 1/24) (*.f64 (+.f64 x -1) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
x
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)
(fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)
(fma.f64 x (*.f64 B (*.f64 B -1/2)) x)
(fma.f64 -1/2 (*.f64 B (*.f64 x B)) x)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x))
(fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (*.f64 B (*.f64 B -1/2))) x)
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 B 6) x)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 B 4) x)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 B 2) x)) x)))
(fma.f64 -1/720 (*.f64 x (pow.f64 B 6)) (fma.f64 1/24 (*.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x)))
(fma.f64 x (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4))) (fma.f64 -1/2 (*.f64 x (*.f64 B B)) x))
(*.f64 x (+.f64 (fma.f64 -1/2 (*.f64 B B) 1) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4)))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize17.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 1/6 B)
0.0b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
0.0b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
0.0b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
✓0.0b
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
0.3b
(*.f64 1/6 B)
Compiler

Compiled 33 to 20 computations (39.4% saved)

series3.0ms (0%)

Counts
1 → 18
Calls

6 calls:

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

rewrite75.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
568×fma-def_binary64
540×log-prod_binary64
401×pow-prod-down_binary64
313×fma-neg_binary64
296×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
122711
2340011
Stop Event
1×node limit
Counts
1 → 156
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 B) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 B) (*.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (-.f64 (*.f64 1/6 B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B (/.f64 1 B)) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B (/.f64 1 B)) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B (/.f64 (-.f64 1 x) B)) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B (/.f64 (-.f64 1 x) B)) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B (/.f64 (-.f64 1 x) B)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (cbrt.f64 (pow.f64 (/.f64 x B) 2)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 B 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(pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3) (pow.f64 (/.f64 x B) 3)) (/.f64 1 (fma.f64 (/.f64 x B) (+.f64 (/.f64 1 B) (fma.f64 1/6 B (/.f64 x B))) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2))) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3) (pow.f64 (/.f64 x B) 3)) (/.f64 1 (fma.f64 (/.f64 x B) (+.f64 (/.f64 1 B) (fma.f64 1/6 B (/.f64 x B))) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3) (pow.f64 (/.f64 x B) 3)) (/.f64 1 (fma.f64 (/.f64 x B) (+.f64 (/.f64 1 B) (fma.f64 1/6 B (/.f64 x B))) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (cbrt.f64 (pow.f64 (/.f64 x B) 2)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3) (pow.f64 (/.f64 x B) 3)) (/.f64 1 (fma.f64 (/.f64 x B) (+.f64 (/.f64 1 B) (fma.f64 1/6 B (/.f64 x B))) (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2))) (+.f64 (/.f64 (neg.f64 x) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/216 (pow.f64 B 3) (pow.f64 B -3)) (/.f64 1 (-.f64 (fma.f64 1/36 (*.f64 B B) (pow.f64 B -2)) (/.f64 (*.f64 1/6 B) B))) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/216 (pow.f64 B 3) (pow.f64 B -3)) (/.f64 1 (-.f64 (fma.f64 1/36 (*.f64 B B) (pow.f64 B -2)) (/.f64 (*.f64 1/6 B) B))) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (+.f64 (/.f64 1 B) (fma.f64 1/6 B (/.f64 x B)))) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (+.f64 (/.f64 1 B) (fma.f64 1/6 B (/.f64 x B)))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (+.f64 (/.f64 1 B) (fma.f64 1/6 B (/.f64 x B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (cbrt.f64 (pow.f64 (/.f64 x B) 2)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (+.f64 (/.f64 1 B) (fma.f64 1/6 B (/.f64 x B)))) (+.f64 (/.f64 (neg.f64 x) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/36 (*.f64 B B)) (pow.f64 B -2)) (/.f64 1 (-.f64 (*.f64 1/6 B) (/.f64 1 B))) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/36 (*.f64 B B)) (pow.f64 B -2)) (/.f64 1 (-.f64 (*.f64 1/6 B) (/.f64 1 B))) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) B)) 2) (cbrt.f64 (/.f64 (neg.f64 x) B)) (fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) B)) (sqrt.f64 (/.f64 (neg.f64 x) B)) (fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x B))) (sqrt.f64 (/.f64 x B)) (fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) -2) (/.f64 1 (cbrt.f64 B)) (-.f64 (*.f64 1/6 B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 B -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 B -1/2) (sqrt.f64 (/.f64 x B))) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (cbrt.f64 (pow.f64 (/.f64 x B) 2)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (+.f64 (/.f64 (neg.f64 x) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x B) 2))) (cbrt.f64 (/.f64 x B)) (fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 B B))) (cbrt.f64 B) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 B B))) (cbrt.f64 B) (*.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (sqrt.f64 B)) (sqrt.f64 B) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (sqrt.f64 B)) (sqrt.f64 B) (*.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 B (/.f64 (-.f64 1 x) B))))))))

simplify49.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
512×fma-neg_binary64
395×fma-def_binary64
146×div-sub_binary64
111×associate-/l*_binary64
105×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016215
138167
258167
385167
4136167
5216167
6401167
7704167
81146167
91730167
102013167
112346167
122426167
132498167
142552167
Stop Event
1×saturated
Counts
174 → 165
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
Outputs
(/.f64 (-.f64 1 x) B)
(*.f64 1/6 B)
(*.f64 B 1/6)
(*.f64 1/6 B)
(*.f64 B 1/6)
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) 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 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(/.f64 x (neg.f64 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(/.f64 x (neg.f64 B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 1/6 B) (+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 22 to 10 computations (54.5% saved)

series5.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
658×pow1_binary64
605×add-log-exp_binary64
605×log1p-expm1-u_binary64
605×expm1-log1p-u_binary64
592×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0816
116312
2205512
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
(/.f64 1 (neg.f64 (tan.f64 B)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.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 x -1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (tan.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (tan.f64 B))) (cbrt.f64 (pow.f64 (tan.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 B) -2)) (cbrt.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 B) -1/2) (pow.f64 (tan.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 B)) -1) (pow.f64 (sqrt.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 B))))))))

simplify72.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
941×fma-neg_binary64
928×cancel-sign-sub-inv_binary64
521×distribute-lft-out_binary64
424×associate-+l+_binary64
339×associate-+r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053484
1139472
2365458
31298456
44097451
Stop Event
1×node limit
Counts
81 → 64
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))))
(+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5)) (+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 -1 B)
(-.f64 (*.f64 1/3 B) (/.f64 1 B))
(-.f64 (+.f64 (*.f64 1/3 B) (*.f64 1/45 (pow.f64 B 3))) (/.f64 1 B))
(-.f64 (+.f64 (*.f64 1/3 B) (+.f64 (*.f64 2/945 (pow.f64 B 5)) (*.f64 1/45 (pow.f64 B 3)))) (/.f64 1 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
Outputs
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(fma.f64 -1 (/.f64 x B) (*.f64 1/3 (*.f64 B x)))
(-.f64 (*.f64 B (*.f64 x 1/3)) (/.f64 x B))
(*.f64 x (fma.f64 B 1/3 (/.f64 -1 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3))))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/3 (*.f64 B x) (*.f64 (*.f64 x 1/45) (pow.f64 B 3))))
(-.f64 (fma.f64 1/3 (*.f64 B x) (*.f64 (*.f64 x 1/45) (pow.f64 B 3))) (/.f64 x B))
(-.f64 (*.f64 x (fma.f64 B 1/3 (*.f64 (pow.f64 B 3) 1/45))) (/.f64 x B))
(*.f64 x (fma.f64 B 1/3 (fma.f64 (pow.f64 B 3) 1/45 (/.f64 -1 B))))
(+.f64 (*.f64 (+.f64 (*.f64 17/315 x) (+.f64 (*.f64 -2/45 x) (*.f64 -1/3 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x))))) (pow.f64 B 5)) (+.f64 (*.f64 -1 (/.f64 x B)) (+.f64 (*.f64 1/3 (*.f64 B x)) (*.f64 (+.f64 (*.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)))))
(fma.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (*.f64 (*.f64 x 1/45) -1/3))) (pow.f64 B 5) (fma.f64 -1 (/.f64 x B) (fma.f64 1/3 (*.f64 B x) (*.f64 (*.f64 x 1/45) (pow.f64 B 3)))))
(fma.f64 (+.f64 (*.f64 x -1/135) (*.f64 x 1/105)) (pow.f64 B 5) (-.f64 (fma.f64 1/3 (*.f64 B x) (*.f64 (*.f64 x 1/45) (pow.f64 B 3))) (/.f64 x B)))
(-.f64 (fma.f64 (*.f64 x 2/945) (pow.f64 B 5) (*.f64 x (fma.f64 B 1/3 (*.f64 (pow.f64 B 3) 1/45)))) (/.f64 x B))
(-.f64 (*.f64 x (fma.f64 B 1/3 (fma.f64 (pow.f64 B 5) 2/945 (*.f64 (pow.f64 B 3) 1/45)))) (/.f64 x B))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (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 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(/.f64 -1 B)
(-.f64 (*.f64 1/3 B) (/.f64 1 B))
(-.f64 (*.f64 B 1/3) (/.f64 1 B))
(fma.f64 B 1/3 (/.f64 -1 B))
(-.f64 (+.f64 (*.f64 1/3 B) (*.f64 1/45 (pow.f64 B 3))) (/.f64 1 B))
(-.f64 (fma.f64 1/3 B (*.f64 (pow.f64 B 3) 1/45)) (/.f64 1 B))
(fma.f64 B 1/3 (fma.f64 (pow.f64 B 3) 1/45 (/.f64 -1 B)))
(-.f64 (+.f64 (*.f64 1/3 B) (+.f64 (*.f64 2/945 (pow.f64 B 5)) (*.f64 1/45 (pow.f64 B 3)))) (/.f64 1 B))
(-.f64 (fma.f64 1/3 B (fma.f64 2/945 (pow.f64 B 5) (*.f64 (pow.f64 B 3) 1/45))) (/.f64 1 B))
(+.f64 (fma.f64 (pow.f64 B 3) 1/45 (*.f64 (pow.f64 B 5) 2/945)) (fma.f64 B 1/3 (/.f64 -1 B)))
(fma.f64 B 1/3 (fma.f64 (pow.f64 B 3) 1/45 (fma.f64 (pow.f64 B 5) 2/945 (/.f64 -1 B))))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(pow.f64 (sin.f64 B) -3)
0.1b
(/.f64 x (tan.f64 B))
0.0b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
0.0b
(sin.f64 B)
✓0.0b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
0.1b
(/.f64 x (tan.f64 B))
✓0.4b
(pow.f64 (sin.f64 B) -3)
✓16.8b
(cbrt.f64 (pow.f64 (sin.f64 B) -3))
Compiler

Compiled 32 to 15 computations (53.1% saved)

series5.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
B
@inf
(pow.f64 (sin.f64 B) -3)
1.0ms
B
@-inf
(pow.f64 (sin.f64 B) -3)
1.0ms
B
@0
(pow.f64 (sin.f64 B) -3)
0.0ms
B
@0
(cbrt.f64 (pow.f64 (sin.f64 B) -3))
0.0ms
B
@0
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))

rewrite153.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
678×prod-diff_binary64
516×log-prod_binary64
311×pow-prod-down_binary64
292×pow2_binary64
228×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
122126
2296226
Stop Event
1×node limit
Counts
3 → 227
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 B) -3))
(pow.f64 (sin.f64 B) -3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 B) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -3/2) (pow.f64 (sin.f64 B) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -6) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 B) -2) 1) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 B) -2) (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 B) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 B) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -9))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 B) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (sin.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 B) -3)))))))
((#(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 (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 (/.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 (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))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 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(pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (cbrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 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simplify49.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
612×cancel-sign-sub-inv_binary64
464×fma-neg_binary64
322×+-commutative_binary64
311×associate--r-_binary64
308×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073701
1189684
2511676
32014672
44550672
Stop Event
1×node limit
Counts
275 → 254
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (pow.f64 B 3))
(+.f64 (/.f64 1 (pow.f64 B 3)) (*.f64 1/2 (/.f64 1 B)))
(+.f64 (*.f64 17/120 B) (+.f64 (*.f64 1/2 (/.f64 1 B)) (/.f64 1 (pow.f64 B 3))))
(+.f64 (*.f64 457/15120 (pow.f64 B 3)) (+.f64 (*.f64 17/120 B) (+.f64 (*.f64 1/2 (/.f64 1 B)) (/.f64 1 (pow.f64 B 3)))))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.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 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (pow.f64 B 3))
(+.f64 (/.f64 1 (pow.f64 B 3)) (*.f64 1/2 (/.f64 1 B)))
(+.f64 (/.f64 1 (pow.f64 B 3)) (/.f64 1/2 B))
(+.f64 (*.f64 17/120 B) (+.f64 (*.f64 1/2 (/.f64 1 B)) (/.f64 1 (pow.f64 B 3))))
(fma.f64 17/120 B (+.f64 (/.f64 1 (pow.f64 B 3)) (/.f64 1/2 B)))
(+.f64 (/.f64 1 (pow.f64 B 3)) (fma.f64 B 17/120 (/.f64 1/2 B)))
(+.f64 (*.f64 457/15120 (pow.f64 B 3)) (+.f64 (*.f64 17/120 B) (+.f64 (*.f64 1/2 (/.f64 1 B)) (/.f64 1 (pow.f64 B 3)))))
(fma.f64 457/15120 (pow.f64 B 3) (fma.f64 17/120 B (+.f64 (/.f64 1 (pow.f64 B 3)) (/.f64 1/2 B))))
(fma.f64 (pow.f64 B 3) 457/15120 (+.f64 (/.f64 1 (pow.f64 B 3)) (fma.f64 B 17/120 (/.f64 1/2 B))))
(+.f64 (/.f64 1 (pow.f64 B 3)) (fma.f64 (pow.f64 B 3) 457/15120 (fma.f64 B 17/120 (/.f64 1/2 B))))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.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 7/360 (*.f64 x 1/45)) (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 31/15120 (fma.f64 -2/45 x (*.f64 (*.f64 x 1/45) -1/3)))) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (*.f64 x 1/3)) B (fma.f64 (+.f64 7/360 (*.f64 x 1/45)) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 x -2/45 (*.f64 x -1/135)) (fma.f64 x 17/315 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 31/15120 (fma.f64 x 17/315 (*.f64 x -7/135))) (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))))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (*.f64 x 2/945)) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) x)
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) x)
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (*.f64 -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 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))

eval454.0ms (4.9%)

Compiler

Compiled 17120 to 8224 computations (52% saved)

prune162.0ms (1.8%)

Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New77611787
Fresh51520
Picked101
Done156
Total78331814
Error
0b
Counts
814 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
42.7b
(/.f64 (neg.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 B) 3)) (cos.f64 B)))
✓0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
35.0b
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
▶0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (pow.f64 (/.f64 (sin.f64 B) x) -1)))
53.3b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
42.6b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x B))
23.8b
(/.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))))
1.2b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 3)
35.0b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
46.3b
(/.f64 (neg.f64 x) (-.f64 (+.f64 1 (tan.f64 B)) 1))
53.3b
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
▶34.3b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
37.3b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
53.3b
(*.f64 x (/.f64 -1 B))
✓34.8b
(/.f64 (-.f64 1 x) B)
27.4b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (log.f64 (exp.f64 (sin.f64 B))))
15.9b
(/.f64 (-.f64 1 x) (sin.f64 B))
37.2b
(/.f64 (neg.f64 x) (tan.f64 B))
▶61.7b
(*.f64 B 1/6)
▶34.9b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
▶25.6b
(/.f64 1 (sin.f64 B))
35.5b
(-.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))
43.5b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
53.3b
(/.f64 (neg.f64 x) B)
✓37.2b
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
✓43.8b
(/.f64 1 B)
53.3b
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
✓0.2b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
53.3b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
34.7b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
52.9b
(-.f64 (*.f64 1/6 B) (/.f64 x B))
Compiler

Compiled 693 to 504 computations (27.3% saved)

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 B) x)
0.1b
(/.f64 1 (sin.f64 B))
0.0b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (pow.f64 (/.f64 (sin.f64 B) x) -1)))
0.0b
(sin.f64 B)
0.1b
(/.f64 1 (sin.f64 B))
✓0.1b
(/.f64 (sin.f64 B) x)
✓0.2b
(*.f64 (cos.f64 B) (pow.f64 (/.f64 (sin.f64 B) x) -1))
✓0.3b
(pow.f64 (/.f64 (sin.f64 B) x) -1)
Compiler

Compiled 47 to 20 computations (57.4% saved)

series9.0ms (0.1%)

Counts
3 → 52
Calls

18 calls:

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

rewrite86.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
902×pow1_binary64
833×add-log-exp_binary64
833×log1p-expm1-u_binary64
833×expm1-log1p-u_binary64
813×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
118423
2228423
Stop Event
1×node limit
Counts
3 → 85
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sin.f64 B) x) -1)
(*.f64 (cos.f64 B) (pow.f64 (/.f64 (sin.f64 B) x) -1))
(/.f64 (sin.f64 B) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 B) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 B) x) -2)) (cbrt.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sin.f64 B))) (sqrt.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 B) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 B) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 x (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 x (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 B))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 B))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 B) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (sin.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (sin.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (sin.f64 B))) (sqrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sin.f64 B)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 2)) (cbrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 B) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 B))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 B)) 3) (pow.f64 (cos.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 (/.f64 x (sin.f64 B)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 B) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 B) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 2) (cbrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (*.f64 (cbrt.f64 (sin.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 B) x)) (sqrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 B)) (*.f64 (sqrt.f64 (sin.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 B)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 B)) 1) (/.f64 (sqrt.f64 (sin.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 B)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (sin.f64 B)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 B)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 B) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 B) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 B) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 B) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 B) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 B) x)))))))

simplify44.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
554×distribute-rgt-in_binary64
497×distribute-lft-in_binary64
391×fma-def_binary64
388×cancel-sign-sub-inv_binary64
374×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078639
1229601
2783567
33298561
Stop Event
1×node limit
Counts
137 → 107
Calls
Call 1
Inputs
(/.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 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 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 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 B x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 -1/5040 (/.f64 (pow.f64 B 7) x)))))
Outputs
(/.f64 x B)
(+.f64 (*.f64 1/6 (*.f64 B x)) (/.f64 x B))
(fma.f64 1/6 (*.f64 x B) (/.f64 x B))
(fma.f64 (*.f64 B 1/6) x (/.f64 x B))
(fma.f64 x (*.f64 B 1/6) (/.f64 x B))
(+.f64 (*.f64 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 x B) (/.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 x (*.f64 B 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 x B) (/.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 x (*.f64 B 1/6) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B))) (*.f64 (pow.f64 B 5) (*.f64 x -31/15120)))
(fma.f64 x (*.f64 B 1/6) (fma.f64 (pow.f64 B 5) (*.f64 x 31/15120) (fma.f64 (pow.f64 B 3) (*.f64 x 7/360) (/.f64 x B))))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 x (sin.f64 B))
(/.f64 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 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 (pow.f64 B 3) (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3)))))))
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)))))
(fma.f64 x (*.f64 B -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B)))
(fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (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 1/120 (*.f64 x -1/3))))) (pow.f64 B 5) (*.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/24) (fma.f64 1/120 x (*.f64 -1/6 (*.f64 x -1/3))))))))
(+.f64 (/.f64 x B) (fma.f64 B (*.f64 x -1/3) (fma.f64 (pow.f64 B 3) (-.f64 (*.f64 x 1/30) (*.f64 x 1/18)) (*.f64 (pow.f64 B 5) (-.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))))))))
(+.f64 (fma.f64 x (*.f64 B -1/3) (/.f64 x B)) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (*.f64 (pow.f64 B 5) (-.f64 (*.f64 x -1/720) (fma.f64 -1/6 (*.f64 x -1/45) (*.f64 x -1/336))))))
(+.f64 (fma.f64 x (*.f64 B -1/3) (/.f64 x B)) (fma.f64 (pow.f64 B 5) (+.f64 (*.f64 -1/6 (*.f64 x 1/45)) (*.f64 x 1/630)) (*.f64 (pow.f64 B 3) (*.f64 x -1/45))))
(/.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.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 (/.f64 x (sin.f64 B)) (cos.f64 B))
(/.f64 B x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (/.f64 B x))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (/.f64 B x)))
(fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (/.f64 B x)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 B 3) x)) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 -1/5040 (/.f64 (pow.f64 B 7) x)))))
(fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (+.f64 (fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (/.f64 B x)) (*.f64 -1/5040 (/.f64 (pow.f64 B 7) x))))
(fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (fma.f64 -1/5040 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(fma.f64 1/120 (/.f64 (pow.f64 B 5) x) (fma.f64 -1/6 (/.f64 (pow.f64 B 3) x) (fma.f64 -1/5040 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.5b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
0.0b
(/.f64 (-.f64 1 x) B)
0.0b
(/.f64 (-.f64 1 x) B)
✓2.5b
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
Compiler

Compiled 29 to 20 computations (31% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite82.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11917
228637
Stop Event
1×node limit
Counts
1 → 147
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (-.f64 1 x) B) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x B))) (sqrt.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 B))) (/.f64 (sqrt.f64 x) (sqrt.f64 B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)))) 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B) -1) 2)) (-.f64 1 (+.f64 (/.f64 (-.f64 1 x) B) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 B)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 1 B) 2) (pow.f64 (/.f64 x B) 2)) (+.f64 (/.f64 1 B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 B (-.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 2) (+.f64 (/.f64 (-.f64 1 x) B) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 1 x) B) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (-.f64 1 x) B))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2) (/.f64 (-.f64 1 x) B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 1 x) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (-.f64 1 x) B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (/.f64 1 B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) B) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 B) (-.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 2) (+.f64 (/.f64 (-.f64 1 x) B) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 1 x) B) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 1 x) B) (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (-.f64 1 x) B)))) (/.f64 1 (+.f64 (/.f64 (-.f64 1 x) B) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 1 x) B) 2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 1 x) B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 B)) 2) (cbrt.f64 (/.f64 1 B)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 B)) (sqrt.f64 (/.f64 1 B)) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) B) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) -2) (/.f64 (-.f64 1 x) (cbrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 1 x) B))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 1 x) B)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 1) (-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)) 1))))))

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
135×fma-def_binary64
118×fma-neg_binary64
27×div-sub_binary64
25×cancel-sign-sub-inv_binary64
22×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011247
122163
231163
348163
468163
599163
6164163
7295163
8524163
9669163
10715163
Stop Event
1×saturated
Counts
171 → 152
Calls
Call 1
Inputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
Outputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (sin.f64 B))
0.0b
(sin.f64 B)
0.0b
(sin.f64 B)
0.1b
(/.f64 1 (sin.f64 B))
Compiler

Compiled 10 to 6 computations (40% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize37.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
16.8b
(cbrt.f64 (pow.f64 (sin.f64 B) -3))
0.4b
(pow.f64 (sin.f64 B) -3)
0.0b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
0.0b
(sin.f64 B)
0.0b
(sin.f64 B)
✓0.0b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
0.4b
(pow.f64 (sin.f64 B) -3)
16.8b
(cbrt.f64 (pow.f64 (sin.f64 B) -3))
Compiler

Compiled 28 to 14 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
B
@0
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
0.0ms
B
@inf
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
0.0ms
B
@-inf
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
0.0ms
x
@inf
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
0.0ms
x
@0
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))

rewrite86.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
670×prod-diff_binary64
466×log-prod_binary64
278×pow-prod-down_binary64
263×pow2_binary64
224×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0914
120012
2270012
Stop Event
1×node limit
Counts
1 → 157
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
Outputs
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x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 B x) -3)) (/.f64 1 (fma.f64 (/.f64 x B) (+.f64 (pow.f64 (sin.f64 B) -1) (/.f64 x B)) (pow.f64 (sin.f64 B) -2))) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 B x) -2)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 B) -1) (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 B x) -2)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 B) -1) (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 x B)) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 B x) -2)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 B) -1) (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (cbrt.f64 (pow.f64 (/.f64 B x) -2)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 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(-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 x B)) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (cbrt.f64 (pow.f64 (/.f64 B x) -2)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x B))) (+.f64 (neg.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 B x) -2))) (cbrt.f64 (/.f64 x B)) (pow.f64 (sin.f64 B) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (sin.f64 B) -1) (/.f64 x B))))))))

simplify66.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
709×cancel-sign-sub-inv_binary64
631×distribute-rgt-neg-in_binary64
491×fma-def_binary64
474×distribute-lft-neg-in_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031294
180273
2181273
3524271
41172271
52574271
65466271
77707271
Stop Event
1×node limit
Counts
181 → 169
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.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 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 B 1/6) (/.f64 (-.f64 1 x) B))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B))) (/.f64 x B))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 7/360 (*.f64 B B) 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.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 x B))
(-.f64 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 7/360 (pow.f64 B 3) (+.f64 (fma.f64 B 1/6 (*.f64 31/15120 (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (*.f64 31/15120 (pow.f64 B 5)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 (-.f64 1 x) B))))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 (-.f64 1 x) B)))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 (sin.f64 B)))
(fma.f64 -1 (/.f64 x B) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))

eval454.0ms (4.9%)

Compiler

Compiled 12978 to 7054 computations (45.6% saved)

prune185.0ms (2%)

Pruning

36 alts after pruning (29 fresh and 7 done)

PrunedKeptTotal
New70614720
Fresh61521
Picked101
Done279
Total71536751
Error
0b
Counts
751 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
42.7b
(/.f64 (neg.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 B) 3)) (cos.f64 B)))
✓0.1b
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
35.0b
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
44.3b
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
53.3b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
62.0b
(fabs.f64 (*.f64 B 1/6))
35.0b
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
46.3b
(/.f64 (neg.f64 x) (-.f64 (+.f64 1 (tan.f64 B)) 1))
38.4b
(cbrt.f64 (pow.f64 (sin.f64 B) -3))
53.3b
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
37.3b
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
53.3b
(*.f64 x (/.f64 -1 B))
✓34.8b
(/.f64 (-.f64 1 x) B)
34.8b
(/.f64 1 (/.f64 B (-.f64 1 x)))
15.9b
(/.f64 (-.f64 1 x) (sin.f64 B))
37.2b
(/.f64 (neg.f64 x) (tan.f64 B))
44.4b
(/.f64 1 (log.f64 (exp.f64 (sin.f64 B))))
34.9b
(+.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)
53.3b
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
✓25.6b
(/.f64 1 (sin.f64 B))
39.1b
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
43.5b
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
26.3b
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 3)
53.3b
(/.f64 (neg.f64 x) B)
45.5b
(pow.f64 (sqrt.f64 (sin.f64 B)) -2)
44.0b
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
32.4b
(/.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 B x) -2)) (+.f64 (pow.f64 (sin.f64 B) -1) (/.f64 x B)))
✓37.2b
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
✓43.8b
(/.f64 1 B)
53.3b
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
48.3b
(sqrt.f64 (pow.f64 (sin.f64 B) -2))
53.3b
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1)
52.9b
(-.f64 (*.f64 1/6 B) (/.f64 x B))
✓61.7b
(*.f64 B 1/6)
✓0.2b
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.2b
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
Compiler

Compiled 376 to 283 computations (24.7% saved)

regimes191.0ms (2.1%)

Counts
67 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 -1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 1/6 B) (/.f64 x B))
(*.f64 (-.f64 1 x) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1)
(+.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(/.f64 (neg.f64 x) (-.f64 (+.f64 1 (tan.f64 B)) 1))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (+.f64 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 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 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(cbrt.f64 (pow.f64 (sin.f64 B) -3))
(pow.f64 (sqrt.f64 (sin.f64 B)) -2)
(sqrt.f64 (pow.f64 (sin.f64 B) -2))
(/.f64 1 (log.f64 (exp.f64 (sin.f64 B))))
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x))))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (log.f64 (exp.f64 (sin.f64 B))))
(/.f64 (neg.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 B) 3)) (cos.f64 B)))
(-.f64 (/.f64 1 (log.f64 (exp.f64 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 3)
(-.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 3) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (pow.f64 (/.f64 (sin.f64 B) x) -1)))
(+.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 B) (cbrt.f64 x)))) (/.f64 1 (sin.f64 B)))
(/.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 B x) -2)) (+.f64 (pow.f64 (sin.f64 B) -1) (/.f64 x B)))
(/.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))))
Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

85.0ms
B
42.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
32.0ms
x
Results
ErrorSegmentsBranch
0.1b1B
0.1b1x
0.1b1(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
Compiler

Compiled 699 to 382 computations (45.4% saved)

regimes71.0ms (0.8%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 -1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 1/6 B) (/.f64 x B))
(*.f64 (-.f64 1 x) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1)
(+.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(/.f64 (neg.f64 x) (-.f64 (+.f64 1 (tan.f64 B)) 1))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (+.f64 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 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 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
Outputs
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

2 calls:

29.0ms
x
25.0ms
B
Results
ErrorSegmentsBranch
0.2b1B
0.2b1x
Compiler

Compiled 401 to 240 computations (40.1% saved)

regimes205.0ms (2.2%)

Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 -1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 1/6 B) (/.f64 x B))
(*.f64 (-.f64 1 x) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1)
(+.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(*.f64 x (/.f64 1 (neg.f64 (tan.f64 B))))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(/.f64 (neg.f64 x) (-.f64 (+.f64 1 (tan.f64 B)) 1))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
(+.f64 (*.f64 7/360 (pow.f64 B 3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (*.f64 (+.f64 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 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 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
Outputs
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
Calls

2 calls:

127.0ms
B
64.0ms
x
Results
ErrorSegmentsBranch
11.9b7B
0.7b3x
Compiler

Compiled 383 to 233 computations (39.2% saved)

bsearch130.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
65.0ms
7.776925371219792e-6
20586.244714626115
65.0ms
-1637409527389772000.0
-873189867994827800.0
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes161.0ms (1.8%)

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

2 calls:

94.0ms
B
58.0ms
x
Results
ErrorSegmentsBranch
11.9b7B
0.7b3x
Compiler

Compiled 244 to 150 computations (38.5% saved)

bsearch132.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
67.0ms
7.776925371219792e-6
20586.244714626115
65.0ms
-1637409527389772000.0
-873189867994827800.0
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes121.0ms (1.3%)

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

2 calls:

61.0ms
B
47.0ms
x
Results
ErrorSegmentsBranch
15.4b5B
1.0b3x
Compiler

Compiled 231 to 143 computations (38.1% saved)

bsearch127.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
64.0ms
7.776925371219792e-6
20586.244714626115
63.0ms
-170.38287460593708
-8.845750861454282e-6
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes100.0ms (1.1%)

Counts
26 → 3
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 -1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 1/6 B) (/.f64 x B))
(*.f64 (-.f64 1 x) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1)
(+.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(fabs.f64 (*.f64 B 1/6))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
Outputs
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
Calls

2 calls:

52.0ms
B
40.0ms
x
Results
ErrorSegmentsBranch
16.6b3B
16.6b3x
Compiler

Compiled 226 to 141 computations (37.6% saved)

bsearch122.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
2.440762194693341e+20
4.9791658750800914e+20
61.0ms
-170.38287460593708
-8.845750861454282e-6
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes56.0ms (0.6%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 -1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 1/6 B) (/.f64 x B))
(*.f64 (-.f64 1 x) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1)
(+.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 B)) (+.f64 1 x))
(-.f64 (+.f64 (*.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/2 x) (*.f64 -1/6 x)) B)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (+.f64 (/.f64 x B) (*.f64 -1/3 (*.f64 B x))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(fabs.f64 (*.f64 B 1/6))
Outputs
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
Calls

2 calls:

33.0ms
B
15.0ms
x
Results
ErrorSegmentsBranch
34.6b1B
34.6b1x
Compiler

Compiled 218 to 136 computations (37.6% saved)

regimes28.0ms (0.3%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (neg.f64 x) B)
(*.f64 x (/.f64 -1 B))
(/.f64 (-.f64 1 x) B)
(/.f64 1 (/.f64 B (-.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 B)) 1)
(-.f64 (*.f64 1/6 B) (/.f64 x B))
(*.f64 (-.f64 1 x) (/.f64 1 B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(-.f64 (+.f64 1 (/.f64 (neg.f64 x) B)) 1)
(+.f64 (+.f64 (/.f64 (-.f64 1 x) B) -1) 1)
(*.f64 x (-.f64 (*.f64 1/3 B) (/.f64 1 B)))
(-.f64 (*.f64 B (*.f64 1/3 x)) (/.f64 x B))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (*.f64 -1 (/.f64 x B)) (*.f64 1/3 (*.f64 B x)))
Outputs
(/.f64 (-.f64 1 x) B)
Calls

2 calls:

12.0ms
B
11.0ms
x
Results
ErrorSegmentsBranch
34.8b1B
34.8b1x
Compiler

Compiled 122 to 77 computations (36.9% saved)

regimes39.0ms (0.4%)

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

2 calls:

24.0ms
B
14.0ms
x
Results
ErrorSegmentsBranch
40.0b6B
35.1b3x
Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch219.0ms (2.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
7.112053059224667e-14
7.776925371219792e-6
159.0ms
-170.38287460593708
-8.845750861454282e-6
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes10.0ms (0.1%)

Accuracy

Total -18.3b remaining (-41.7%)

Threshold costs -18.3b (-41.7%)

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

2 calls:

6.0ms
B
3.0ms
x
Results
ErrorSegmentsBranch
43.8b1B
43.8b1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
048249
169249
288249
397249
4101249
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(if (<=.f64 x -1637409527389772032) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 4590686464103365/590295810358705651712) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x -1637409527389772032) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 4590686464103365/590295810358705651712) (/.f64 (-.f64 1 x) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 x -5994814457700095/35184372088832) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 4590686464103365/590295810358705651712) (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 x -5994814457700095/35184372088832) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) (if (<=.f64 x 31991558238284557271957504/131072) (/.f64 1 (sin.f64 B)) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -5994814457700095/35184372088832) (/.f64 (neg.f64 x) B) (if (<=.f64 x 5634748955863228/79228162514264337593543950336) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(/.f64 1 B)
(*.f64 B 1/6)
Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(if (<=.f64 x -1637409527389772032) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 4590686464103365/590295810358705651712) (/.f64 (-.f64 1 x) (sin.f64 B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x -1637409527389772032) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 4590686464103365/590295810358705651712) (/.f64 (-.f64 1 x) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 x -5994814457700095/35184372088832) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 4590686464103365/590295810358705651712) (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 x -5994814457700095/35184372088832) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B)) (if (<=.f64 x 31991558238284557271957504/131072) (/.f64 1 (sin.f64 B)) (-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))))
(if (<=.f64 x -5994814457700095/35184372088832) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x B)) (if (<=.f64 x 244076219469334085632) (/.f64 1 (sin.f64 B)) (-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x B))))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (/.f64 1 B) (*.f64 B 1/6)) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -5994814457700095/35184372088832) (/.f64 (neg.f64 x) B) (if (<=.f64 x 5634748955863228/79228162514264337593543950336) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(if (<=.f64 x -5994814457700095/35184372088832) (/.f64 (neg.f64 x) B) (if (<=.f64 x 1408687238965807/19807040628566084398385987584) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(/.f64 1 B)
(*.f64 B 1/6)

end137.0ms (1.5%)

Stop Event
1×fuel
Compiler

Compiled 356 to 209 computations (41.3% saved)

Profiling

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