Details

Time bar (total: 12.7s)

analyze291.0ms (2.3%)

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
0%99.9%0.1%6
18.7%81.2%0.1%7
18.7%81.2%0.1%8
29.7%69.5%0.9%9
30.4%67.9%1.7%10
36.3%61.1%2.6%11
36.9%59.5%3.6%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.1s (24.1%)

Results
1.3s1057×body2048valid
735.0ms1827×body1024valid
601.0ms4579×body256valid
190.0ms748×body512valid
170.0ms45×body4096valid
39.0ms297×body256invalid
4.0ms7×body2048invalid
2.0ms3×body8192exit

preprocess90.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
1036×fma-neg_binary64
1024×fma-def_binary64
530×div-sub_binary64
432×times-frac_binary64
328×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
14340
210340
326540
445040
573040
699840
7139840
8255340
9421940
10483040
11488040
12491040
13492440
14517340
15526940
16595740
17595740
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) F) (*.f64 (/.f64 1 (*.f64 l l)) (tan.f64 (*.f64 (PI.f64) F))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) F) (*.f64 (/.f64 1 (*.f64 l l)) (tan.f64 (*.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) F)) (*.f64 l l)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
297×fma-def_binary64
157×fma-neg_binary64
49×cancel-sign-sub-inv_binary64
37×associate-/l*_binary64
33×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
12520
25620
313820
423320
537120
649720
763720
880420
9107420
10112820
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))

eval1.0ms (0%)

Compiler

Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
15.5b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶15.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶15.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 30 to 18 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.5b
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
0.5b
(/.f64 1 (*.f64 F F))
0.2b
(*.f64 (PI.f64) l)
0.0b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
✓0.2b
(*.f64 (PI.f64) l)
✓0.5b
(/.f64 1 (*.f64 F F))
✓3.5b
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓30.4b
(tan.f64 (*.f64 (PI.f64) l))

series14.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
F
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms
l
@-inf
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms
l
@0
(tan.f64 (*.f64 (PI.f64) l))
1.0ms
l
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms
F
@inf
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
932×pow1_binary64
857×add-log-exp_binary64
856×log1p-expm1-u_binary64
856×expm1-log1p-u_binary64
836×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
120129
2244729
Stop Event
1×node limit
Counts
4 → 87
Calls
Call 1
Inputs
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 F F))
(*.f64 (PI.f64) l)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 (*.f64 F F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (*.f64 F F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) 1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) -1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (neg.f64 (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) -1) (neg.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (*.f64 F F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 F -2)) (cbrt.f64 (pow.f64 (*.f64 F F) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 F F) -2)) (cbrt.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 F 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 F) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 F -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 F F) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 F -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 F -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))))

simplify58.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
607×fma-neg_binary64
413×fma-def_binary64
405×associate-*l*_binary64
403×associate-*r*_binary64
385×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0891282
12591208
29431154
358641124
Stop Event
1×node limit
Counts
147 → 108
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
Outputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(fma.f64 l (PI.f64) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))
(fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 l (PI.f64)))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (pow.f64 l 5) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))))
(fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) (*.f64 l (PI.f64))))
(fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 l (PI.f64))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (pow.f64 l 5) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))))))
(fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) (*.f64 -1/2 (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (PI.f64) 3) 1/72) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) (*.f64 l (PI.f64)))))
(fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5)))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(fma.f64 (*.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F))) 1/3 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (pow.f64 (PI.f64) 2)))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) (*.f64 F F)) (fma.f64 (*.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F))) 1/3 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 F F)) (fma.f64 (*.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F))) 1/3 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2))) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))))
(fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (pow.f64 (PI.f64) 2)))) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))) (*.f64 F F)) (pow.f64 (PI.f64) 2)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 4) F)))))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) (*.f64 F F)) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) F)) (/.f64 (pow.f64 (PI.f64) 4) (/.f64 (*.f64 F F) (*.f64 (pow.f64 (PI.f64) 3) 1/72))))) (fma.f64 (*.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F))) 1/3 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 F F)) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) F)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) (*.f64 F F)))) (fma.f64 (*.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F))) 1/3 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
30.4b
(tan.f64 (*.f64 (PI.f64) l))
3.3b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
0.2b
(*.f64 (PI.f64) l)
0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
0.2b
(*.f64 (PI.f64) l)
✓3.3b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
30.4b
(tan.f64 (*.f64 (PI.f64) l))

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
l
@0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
1.0ms
l
@0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
1.0ms
l
@inf
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
0.0ms
F
@0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
0.0ms
l
@-inf
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))

rewrite78.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
532×log-prod_binary64
397×exp-prod_binary64
351×pow-prod-down_binary64
276×pow2_binary64
276×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
120033
2288533
Stop Event
1×node limit
Counts
2 → 172
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) 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F)) (fma.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (-.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (-.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 1) 1))))))

simplify66.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
538×fma-neg_binary64
452×distribute-neg-frac_binary64
388×fma-def_binary64
380×associate-*r*_binary64
359×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0881607
12771545
210021447
360481415
Stop Event
1×node limit
Counts
220 → 196
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (*.f64 (pow.f64 l 5) (-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)))))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (*.f64 (pow.f64 l 7) (-.f64 (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2))))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))))) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (*.f64 (pow.f64 l 5) (-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))))))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
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(*.f64 l (PI.f64))
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(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
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(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (cos.f64 (*.f64 l (PI.f64))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
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(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
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(*.f64 l (PI.f64))
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(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
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(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))

eval268.0ms (2.1%)

Compiler

Compiled 9014 to 4141 computations (54.1% saved)

prune79.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New35318371
Fresh000
Picked101
Done101
Total35518373
Error
0.1b
Counts
373 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
▶39.2b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶12.0b
(*.f64 l (PI.f64))
38.4b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
20.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
53.2b
(-.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
15.9b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
▶12.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶20.8b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
16.4b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
56.2b
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 6)) (/.f64 1 (fma.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 2))))
16.1b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
37.0b
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
17.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
15.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
20.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
15.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.f64 F F)))
▶43.3b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
39.4b
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
Compiler

Compiled 626 to 396 computations (36.7% saved)

localize2.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 l (PI.f64))
✓0.2b
(*.f64 l (PI.f64))

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
l
@0
(*.f64 l (PI.f64))
0.0ms
l
@-inf
(*.f64 l (PI.f64))
0.0ms
l
@inf
(*.f64 l (PI.f64))

rewrite30.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
367×pow1_binary64
350×add-sqr-sqrt_binary64
345×*-un-lft-identity_binary64
336×add-log-exp_binary64
336×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
1785
29225
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) l))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 l l)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 l (PI.f64))))) (sqrt.f64 (log.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 l (PI.f64)))) 2)) (cbrt.f64 (log.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l (PI.f64)))) 2))))))

simplify90.0ms (0.7%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
21 → 21
Calls
Call 1
Inputs
Outputs

localize5.0ms (0%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.2b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
0.3b
(/.f64 (PI.f64) F)
0.2b
(/.f64 (/.f64 (PI.f64) F) F)
0.0b
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓0.0b
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓0.2b
(/.f64 (/.f64 (PI.f64) F) F)
✓0.3b
(/.f64 (PI.f64) F)
✓3.2b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))

series9.0ms (0.1%)

Counts
4 → 48
Calls

15 calls:

TimeVariablePointExpression
2.0ms
l
@inf
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
1.0ms
l
@0
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
1.0ms
F
@0
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
1.0ms
F
@inf
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
0.0ms
l
@-inf
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))

rewrite120.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
640×prod-diff_binary64
519×log-prod_binary64
334×pow-prod-down_binary64
250×pow2_binary64
222×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0840
118040
2273240
Stop Event
1×node limit
Counts
4 → 287
Calls
Call 1
Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (PI.f64) F)
(/.f64 (/.f64 (PI.f64) F) F)
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
Outputs
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(neg.f64 (/.f64 1 F)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (fma.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) 1 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (+.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 1 F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (pow.f64 (hypot.f64 (PI.f64) (hypot.f64 (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)) (fma.f64 (neg.f64 (/.f64 1 F)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (pow.f64 (hypot.f64 (PI.f64) (hypot.f64 (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)) (fma.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) 1 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (pow.f64 (hypot.f64 (PI.f64) (hypot.f64 (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (pow.f64 (hypot.f64 (PI.f64) (hypot.f64 (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)) (+.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (neg.f64 (/.f64 1 F)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) 1 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) 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(neg.f64 (PI.f64)) (*.f64 F F)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) 1))))))

simplify53.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
845×fma-neg_binary64
660×times-frac_binary64
554×div-sub_binary64
358×associate-/l*_binary64
350×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016556
138556
294535
3264535
4873535
53898535
65089535
Stop Event
1×node limit
Counts
335 → 300
Calls
Call 1
Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (PI.f64) l)
0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
✓0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.2b
(*.f64 (PI.f64) l)
30.4b
(tan.f64 (*.f64 (PI.f64) l))

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
l
@0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms
F
@inf
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms
l
@inf
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms
l
@-inf
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms
l
@0
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

rewrite58.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
950×pow1_binary64
876×add-log-exp_binary64
876×log1p-expm1-u_binary64
876×expm1-log1p-u_binary64
857×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
117023
2234023
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 1 F) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 1 (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1) (/.f64 (/.f64 1 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)) (/.f64 (/.f64 1 F) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))))

simplify66.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
676×fma-neg_binary64
454×distribute-neg-frac_binary64
403×associate-/l*_binary64
364×fma-def_binary64
356×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01051447
13081385
210441307
359941271
Stop Event
1×node limit
Counts
116 → 90
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) F)
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (*.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (/.f64 l (/.f64 F (PI.f64))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 l (/.f64 F (PI.f64))) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 2)) 1/3)) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (*.f64 (/.f64 l F) (PI.f64))))
(fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (/.f64 (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6)) F)) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (/.f64 l (/.f64 F (PI.f64)))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (*.f64 (pow.f64 l 3) 1/3) (fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) F) (/.f64 l (/.f64 F (PI.f64)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 l (/.f64 F (PI.f64))) (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 4))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))) (/.f64 F (pow.f64 (PI.f64) 2))))))) (pow.f64 l 7)))))
(+.f64 (fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 2)) 1/3)) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (*.f64 (/.f64 l F) (PI.f64)))) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 4)) 1/3)) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))))) F) (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720)))) (pow.f64 l 7)))
(fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (/.f64 (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6)) F)) (pow.f64 l 5) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (*.f64 (pow.f64 l 3) 1/3) (fma.f64 (-.f64 (/.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) F) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) F)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) (/.f64 F (pow.f64 (PI.f64) 4)))))) (pow.f64 l 7) (/.f64 l (/.f64 F (PI.f64))))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) F) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (*.f64 (pow.f64 l 3) 1/3) (fma.f64 (-.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) F)) 1/2)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720 (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) F))) (pow.f64 l 7) (/.f64 l (/.f64 F (PI.f64))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (/.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (*.f64 F F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 2)) 1/3)) (/.f64 -1/2 F))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (/.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (*.f64 F F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (/.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (*.f64 F F)) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2))) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))))
(fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 2)) 1/3)) (/.f64 -1/2 F))) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))))) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 4) F)))))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) (*.f64 F F)) (fma.f64 (pow.f64 l 7) (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 7) 1/840) (*.f64 F F)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (PI.f64) -1/6))) F)) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) (*.f64 (/.f64 F (pow.f64 (PI.f64) 4)) F)))) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 F F)) (fma.f64 (pow.f64 l 7) (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 7) 1/840) (*.f64 F F)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) F)) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) (*.f64 F F)))) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (PI.f64) l)
0.2b
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
0.1b
(sqrt.f64 (*.f64 (PI.f64) l))
0.0b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓0.2b
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
0.2b
(*.f64 (PI.f64) l)
3.3b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
30.4b
(tan.f64 (*.f64 (PI.f64) l))

series4.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
2.0ms
l
@-inf
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
1.0ms
l
@0
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
1.0ms
l
@inf
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)

rewrite40.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
518×pow1_binary64
498×add-sqr-sqrt_binary64
479×add-log-exp_binary64
479×log1p-expm1-u_binary64
479×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
11445
213665
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) l) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/4) (sqrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 1/4)) (pow.f64 (*.f64 (PI.f64) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (PI.f64))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
28 → 28
Calls
Call 1
Inputs
Outputs

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 (PI.f64) 3)
0.2b
(*.f64 (PI.f64) l)
0.1b
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))
0.0b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓1.0b
(pow.f64 (PI.f64) 3)
3.3b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
30.4b
(tan.f64 (*.f64 (PI.f64) l))
✓43.5b
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))

series3.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
l
@-inf
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))
0.0ms
l
@0
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))
0.0ms
l
@inf
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
681×pow1_binary64
636×add-log-exp_binary64
636×log1p-expm1-u_binary64
636×expm1-log1p-u_binary64
616×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117510
2182110
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))
(pow.f64 (PI.f64) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 2) 1/3) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (PI.f64))))))))

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
244×fma-def_binary64
21×sub-neg_binary64
20×distribute-rgt-in_binary64
19×associate-*l*_binary64
18×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0988
11888
24888
39388
410788
515588
622788
726488
830688
947588
1050388
Stop Event
1×saturated
Counts
55 → 45
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 l (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(*.f64 l (*.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 l (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(*.f64 l (*.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 l (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(*.f64 l (*.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 l (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(*.f64 l (*.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))

eval458.0ms (3.6%)

Compiler

Compiled 17377 to 8074 computations (53.5% saved)

prune275.0ms (2.2%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New72115736
Fresh11213
Picked101
Done134
Total73420754
Error
0.1b
Counts
754 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) F))
38.4b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
25.3b
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
54.2b
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
37.7b
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
▶54.2b
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
12.8b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
17.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
20.5b
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
✓12.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
✓20.8b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
20.8b
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (/.f64 1 F)) F)))
▶28.3b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
▶27.1b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
39.2b
(-.f64 (*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
54.4b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
▶47.9b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
61.6b
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
✓12.0b
(*.f64 l (PI.f64))
17.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
Compiler

Compiled 440 to 313 computations (28.9% saved)

localize25.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.2b
(*.f64 (PI.f64) l)
0.1b
(/.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) F)
0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) F))
0.2b
(*.f64 (PI.f64) l)
✓0.2b
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
✓0.5b
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
30.4b
(tan.f64 (*.f64 (PI.f64) l))

series16.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
l
@inf
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
4.0ms
l
@0
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
1.0ms
l
@-inf
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
1.0ms
F
@0
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
1.0ms
F
@-inf
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)

rewrite57.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
923×pow1_binary64
852×add-log-exp_binary64
852×log1p-expm1-u_binary64
852×expm1-log1p-u_binary64
832×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
118720
2233120
Stop Event
1×node limit
Counts
2 → 73
Calls
Call 1
Inputs
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -1) (pow.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) -1))))) (#(struct:change #<rule egg-rr> 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simplify69.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
611×times-frac_binary64
536×fma-def_binary64
500×associate-/l*_binary64
479×distribute-rgt-in_binary64
456×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01302069
14371939
217941807
Stop Event
1×node limit
Counts
121 → 94
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) F)
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))) F))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2) (*.f64 F (PI.f64)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (pow.f64 l 5))) (/.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))) F)))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 -1 (*.f64 (pow.f64 l 7) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2) (*.f64 F (PI.f64)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)) (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))) (PI.f64))) (pow.f64 F 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (pow.f64 (PI.f64) 7))))) F) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (pow.f64 (PI.f64) 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (+.f64 (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)) (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))))) (PI.f64))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2) (*.f64 F (PI.f64)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (pow.f64 l 5))) (/.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))) F))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (*.f64 l (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 F (*.f64 l (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (*.f64 l (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 F (*.f64 l (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 F (*.f64 l (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 l 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 F (*.f64 l (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 F (*.f64 l (PI.f64))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/720 (pow.f64 (PI.f64) 7)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) F) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 -1 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (pow.f64 (PI.f64) 3))))) (pow.f64 l 5))) (*.f64 -1 (*.f64 (pow.f64 l 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))))))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
Outputs
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 (PI.f64) F) l)
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))) F))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)) F))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (*.f64 (/.f64 (pow.f64 l 3) F) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))
(fma.f64 (/.f64 (pow.f64 l 3) F) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (/.f64 (PI.f64) F) l))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2) (*.f64 F (PI.f64)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (pow.f64 l 5))) (/.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))) F)))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (fma.f64 -1 (*.f64 (pow.f64 l 5) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2) (*.f64 (PI.f64) F)) (/.f64 (fma.f64 -1 (/.f64 (*.f64 F (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2)) (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (/.f64 (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)) F)))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (fma.f64 (*.f64 1 (+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2) (*.f64 (PI.f64) F)) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (-.f64 (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2)))))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2))) F)))) (pow.f64 l 5) (*.f64 (/.f64 (pow.f64 l 3) F) (*.f64 (pow.f64 (PI.f64) 3) 1/3))))
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(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 F (*.f64 l (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 F (*.f64 l (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (*.f64 l (PI.f64))))
(fma.f64 -1 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) (*.f64 l (*.f64 (pow.f64 (PI.f64) 3) 1/3)))) (/.f64 F (*.f64 l (PI.f64))))
(-.f64 (/.f64 F (*.f64 l (PI.f64))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 l))))
(-.f64 (/.f64 F (*.f64 l (PI.f64))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (*.f64 l (*.f64 (pow.f64 (PI.f64) 3) 1/3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 F (*.f64 l (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 F (*.f64 l (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 l 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)))))))
(+.f64 (fma.f64 -1 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) (*.f64 l (*.f64 (pow.f64 (PI.f64) 3) 1/3)))) (/.f64 F (*.f64 l (PI.f64)))) (neg.f64 (*.f64 (pow.f64 l 3) (fma.f64 -1 (/.f64 (*.f64 F (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2)) (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))))))
(-.f64 (-.f64 (/.f64 F (*.f64 l (PI.f64))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2)))))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2))))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 l))))
(+.f64 (/.f64 F (*.f64 l (PI.f64))) (fma.f64 (pow.f64 l 3) (neg.f64 (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))) 1/2)) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9))))) (/.f64 (*.f64 (*.f64 l F) (*.f64 (pow.f64 (PI.f64) 3) -1/3)) (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 F (*.f64 l (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 F (*.f64 l (PI.f64))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/720 (pow.f64 (PI.f64) 7)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) F) (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 -1 (/.f64 (*.f64 F (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (pow.f64 (PI.f64) 3))))) (pow.f64 l 5))) (*.f64 -1 (*.f64 (pow.f64 l 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 F (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))))))))
(+.f64 (fma.f64 -1 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) (*.f64 l (*.f64 (pow.f64 (PI.f64) 3) 1/3)))) (/.f64 F (*.f64 l (PI.f64)))) (fma.f64 -1 (*.f64 (pow.f64 l 5) (+.f64 (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (PI.f64) (fma.f64 -1 (/.f64 (*.f64 F (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2)) (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))))) (neg.f64 (/.f64 (*.f64 F (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))))) (pow.f64 (PI.f64) 3)))) (/.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (/.f64 (pow.f64 (PI.f64) 2) F)))) (neg.f64 (*.f64 (pow.f64 l 3) (fma.f64 -1 (/.f64 (*.f64 F (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2)) (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 F (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)))))))
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 l 5) (-.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 (PI.f64) 2) -1/2))))) (pow.f64 (PI.f64) 2)) F) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (PI.f64)) (-.f64 (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2)))))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2))))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))))))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2)))))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2))))) (/.f64 F (*.f64 l (PI.f64)))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 l))))
(-.f64 (-.f64 (/.f64 F (*.f64 l (PI.f64))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (*.f64 l (*.f64 (pow.f64 (PI.f64) 3) 1/3)))) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))) 1/2))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (pow.f64 (PI.f64) 4) 1/24) (*.f64 (pow.f64 (PI.f64) 7) -1/720))))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))) 1/2)) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))) 1/2)))))) (*.f64 (pow.f64 l 3) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))) 1/2)) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.6b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
0.2b
(*.f64 l (PI.f64))
0.2b
(*.f64 l (PI.f64))
✓1.6b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
l
@0
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
0.0ms
l
@inf
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
0.0ms
l
@-inf
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)

rewrite81.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
747×pow1_binary64
697×add-log-exp_binary64
697×log1p-expm1-u_binary64
697×expm1-log1p-u_binary64
685×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11545
220655
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 l (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l (PI.f64) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 l (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l (PI.f64) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 l (PI.f64)) 2) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (-.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (+.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (-.f64 (fma.f64 l (PI.f64) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1)) (fma.f64 l (PI.f64) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 1 (fma.f64 l (PI.f64) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 l (PI.f64) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) 1)) 2) (cbrt.f64 (fma.f64 l (PI.f64) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (sqrt.f64 (fma.f64 l (PI.f64) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))))

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0460
1560
Stop Event
1×saturated
Counts
59 → 47
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.4b
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.2b
(*.f64 l (PI.f64))
0.2b
(*.f64 l (PI.f64))
✓4.4b
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))

series3.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
l
@inf
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
1.0ms
l
@0
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
1.0ms
F
@0
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.0ms
F
@inf
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.0ms
l
@-inf
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))

rewrite68.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
847×pow1_binary64
785×add-log-exp_binary64
785×log1p-expm1-u_binary64
785×expm1-log1p-u_binary64
767×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116911
2212911
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 1 (/.f64 F (/.f64 (PI.f64) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 l (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 2) (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (neg.f64 (PI.f64))) (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l F) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) F) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) F) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l 1) (/.f64 (PI.f64) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 l (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (*.f64 F F)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 F 4))) (/.f64 l (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 F l) (/.f64 F (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 l) (PI.f64)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 3) (pow.f64 (*.f64 F F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))))

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
41 → 41
Calls
Call 1
Inputs
Outputs

localize4.0ms (0%)

Local error

Found 6 expressions with local error:

NewErrorProgram
43.5b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
0.2b
(*.f64 l (PI.f64))
0.2b
(pow.f64 (*.f64 l (PI.f64)) 3)
✓0.2b
(pow.f64 (*.f64 l (PI.f64)) 3)
0.2b
(*.f64 l (PI.f64))
✓43.5b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
l
@-inf
(pow.f64 (*.f64 l (PI.f64)) 3)
1.0ms
l
@0
(pow.f64 (*.f64 l (PI.f64)) 3)
0.0ms
l
@inf
(pow.f64 (*.f64 l (PI.f64)) 3)
0.0ms
l
@0
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
0.0ms
l
@-inf
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
550×pow1_binary64
517×add-log-exp_binary64
517×log1p-expm1-u_binary64
517×expm1-log1p-u_binary64
502×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2150013
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1/3) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 l (PI.f64)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 (PI.f64) (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 l (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) (pow.f64 (*.f64 l (PI.f64)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 3) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) l) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (PI.f64)) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (sqrt.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))))))))

simplify139.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
974×unswap-sqr_binary64
792×sqr-pow_binary64
545×cube-prod_binary64
515×fma-def_binary64
387×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
013220
136220
2101220
3273220
4799184
51406184
62901184
73027184
83349184
93671184
103926184
114166184
124462184
134814184
145699184
156228184
166914184
177222184
187584184
197916184
Stop Event
1×node limit
Counts
78 → 57
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 l (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 l (neg.f64 (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(*.f64 l (*.f64 (PI.f64) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 l (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 l (neg.f64 (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(*.f64 l (*.f64 (PI.f64) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 l (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 l (neg.f64 (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(*.f64 l (*.f64 (PI.f64) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 l (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 l (neg.f64 (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(*.f64 l (*.f64 (PI.f64) (neg.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.2b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
0.6b
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
0.2b
(*.f64 (PI.f64) (pow.f64 F -2))
0.0b
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
✓0.2b
(*.f64 (PI.f64) (pow.f64 F -2))
✓0.6b
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
✓3.2b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓12.8b
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))

series6.0ms (0%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
F
@0
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
1.0ms
F
@inf
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
0.0ms
F
@0
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
0.0ms
F
@-inf
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
0.0ms
F
@inf
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))

rewrite96.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
611×prod-diff_binary64
557×log-prod_binary64
369×pow-prod-down_binary64
301×pow2_binary64
248×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
126647
2308747
Stop Event
1×node limit
Counts
4 → 229
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
(*.f64 (PI.f64) (pow.f64 F -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule 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(fma.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2) (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2)))) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2) (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2) (PI.f64) (*.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 F -6) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 F -6) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 1))))))

simplify49.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
832×associate-/l*_binary64
762×fma-neg_binary64
542×associate-/r*_binary64
520×associate-*l/_binary64
368×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491098
1149937
2505872
32191869
Stop Event
1×node limit
Counts
289 → 257
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
Outputs
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) (neg.f64 l))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(-.f64 (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6)))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 F 4)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) -3) (*.f64 F F)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 F 4)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (+.f64 (-.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3)) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (-.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (*.f64 (+.f64 (/.f64 -1 (pow.f64 F 6)) 1) (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))
(+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))))
(+.f64 (pow.f64 (PI.f64) 3) (fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) -3) (*.f64 F F))))
(+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (+.f64 (-.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3)) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (-.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (*.f64 (+.f64 (/.f64 -1 (pow.f64 F 6)) 1) (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))
(+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))))
(+.f64 (pow.f64 (PI.f64) 3) (fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) -3) (*.f64 F F))))
(+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (+.f64 (-.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3)) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (-.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (*.f64 (+.f64 (/.f64 -1 (pow.f64 F 6)) 1) (pow.f64 (PI.f64) 3))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))

eval304.0ms (2.4%)

Compiler

Compiled 12720 to 7604 computations (40.2% saved)

prune200.0ms (1.6%)

Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New59815613
Fresh9312
Picked101
Done347
Total61122633
Error
0.0b
Counts
633 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
12.8b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
12.8b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
25.3b
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
▶12.3b
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
54.2b
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
✓20.8b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
54.4b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
✓12.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶37.7b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
▶54.5b
(*.f64 -1 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))))
28.2b
(+.f64 (fma.f64 l (PI.f64) -1) 1)
✓28.3b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
54.2b
(*.f64 -1 (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))))
17.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (*.f64 l (PI.f64))) -1) F))
51.2b
(*.f64 -1 (pow.f64 (*.f64 (/.f64 F l) (/.f64 F (PI.f64))) -1))
51.2b
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
▶54.2b
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
✓12.0b
(*.f64 l (PI.f64))
▶20.5b
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
17.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
58.3b
(*.f64 -1 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2))
51.2b
(*.f64 -1 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
Compiler

Compiled 457 to 333 computations (27.1% saved)

localize4.0ms (0%)

Local error

Found 6 expressions with local error:

NewErrorProgram
1.0b
(cbrt.f64 (pow.f64 (PI.f64) 3))
1.0b
(pow.f64 (PI.f64) 3)
0.2b
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
✓0.2b
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
1.0b
(pow.f64 (PI.f64) 3)
✓1.0b
(cbrt.f64 (pow.f64 (PI.f64) 3))

series16.0ms (0.1%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
16.0ms
l
@0
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
0.0ms
l
@inf
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
0.0ms
l
@-inf
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))

rewrite43.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
537×pow1_binary64
522×add-sqr-sqrt_binary64
504×add-log-exp_binary64
504×log1p-expm1-u_binary64
504×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11477
214297
Stop Event
1×node limit
Counts
2 → 31
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (PI.f64) 3))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3) (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x PI.f64)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))))

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0460
1560
Stop Event
1×saturated
Counts
43 → 32
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.4b
(/.f64 (neg.f64 l) (*.f64 F F))
0.2b
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
✓0.2b
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
✓4.4b
(/.f64 (neg.f64 l) (*.f64 F F))

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
l
@0
(/.f64 (neg.f64 l) (*.f64 F F))
1.0ms
l
@inf
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
1.0ms
F
@0
(/.f64 (neg.f64 l) (*.f64 F F))
1.0ms
l
@inf
(/.f64 (neg.f64 l) (*.f64 F F))
1.0ms
l
@-inf
(/.f64 (neg.f64 l) (*.f64 F F))

rewrite170.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
805×pow1_binary64
746×add-log-exp_binary64
745×log1p-expm1-u_binary64
745×expm1-log1p-u_binary64
727×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0822
117218
2249518
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(/.f64 (neg.f64 l) (*.f64 F F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 l (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 F F)) (*.f64 l (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (pow.f64 F -2))) (pow.f64 (cbrt.f64 (*.f64 l (pow.f64 F -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (pow.f64 F -2))) 2) (cbrt.f64 (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) F) (/.f64 (sqrt.f64 l) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 l (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 l (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) 1) (/.f64 (cbrt.f64 l) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) 1) (/.f64 (sqrt.f64 l) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) F) (/.f64 (cbrt.f64 l) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 F) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 l) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 F 4))) (/.f64 l (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (/.f64 l F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 l (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (pow.f64 F -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 l 3) (pow.f64 (*.f64 F F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (pow.f64 F -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 F (/.f64 l F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F F) (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) 1) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (cbrt.f64 (pow.f64 F 4))) (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) (PI.f64)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 l F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 l) (pow.f64 F -2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 l (pow.f64 F -2)) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 l (pow.f64 F -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))))))))

simplify77.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
897×fma-def_binary64
854×div-sub_binary64
605×times-frac_binary64
350×associate-/l/_binary64
345×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012528
128528
269528
3199528
4734528
53416528
64501528
75799528
86668528
97565528
Stop Event
1×node limit
Counts
108 → 64
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
Outputs
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (neg.f64 (/.f64 l F)) F)
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (neg.f64 (PI.f64))))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))

localize36.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
4.4b
(/.f64 l (*.f64 F F))
0.2b
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
0.0b
(-.f64 l (/.f64 l (*.f64 F F)))
✓0.0b
(-.f64 l (/.f64 l (*.f64 F F)))
✓0.2b
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
✓4.4b
(/.f64 l (*.f64 F F))

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
l
@inf
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
1.0ms
l
@0
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
1.0ms
l
@-inf
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
0.0ms
F
@0
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
0.0ms
F
@inf
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))

rewrite109.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
548×prod-diff_binary64
476×log-prod_binary64
315×pow-prod-down_binary64
244×pow2_binary64
213×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
117731
2259431
Stop Event
1×node limit
Counts
3 → 225
Calls
Call 1
Inputs
(/.f64 l (*.f64 F F))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
Outputs
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simplify109.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
903×fma-neg_binary64
463×associate-/r*_binary64
457×associate-/l/_binary64
401×div-sub_binary64
346×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025832
164832
2172706
3518706
41634706
54122706
66408706
77847706
Stop Event
1×node limit
Counts
297 → 241
Calls
Call 1
Inputs
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
Outputs
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (/.f64 (neg.f64 l) F) F)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.2b
(*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))
0.2b
(*.f64 (PI.f64) (pow.f64 F -2))
0.2b
(*.f64 (PI.f64) (pow.f64 F -2))
✓4.2b
(*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
l
@0
(*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))
0.0ms
F
@0
(*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))
0.0ms
l
@-inf
(*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))
0.0ms
l
@inf
(*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))
0.0ms
F
@inf
(*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))

rewrite59.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
760×pow1_binary64
701×add-log-exp_binary64
700×log1p-expm1-u_binary64
700×expm1-log1p-u_binary64
684×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116611
2193811
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (/.f64 1 F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))))

simplify90.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
922×*-commutative_binary64
896×associate-/r/_binary64
624×times-frac_binary64
514×associate-/l/_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08264
116264
234264
375264
4211264
5786264
63676264
74499264
84707264
94926264
105154264
115479264
126900264
137878264
Stop Event
1×node limit
Counts
37 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
0.1b
(*.f64 (PI.f64) (sqrt.f64 l))
✓0.1b
(*.f64 (PI.f64) (sqrt.f64 l))
✓0.2b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))

series5.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
2.0ms
l
@0
(*.f64 (PI.f64) (sqrt.f64 l))
1.0ms
l
@-inf
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
1.0ms
l
@-inf
(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms
l
@inf
(*.f64 (PI.f64) (sqrt.f64 l))
0.0ms
l
@0
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))

rewrite62.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
546×pow1_binary64
518×add-sqr-sqrt_binary64
502×add-log-exp_binary64
502×log1p-expm1-u_binary64
502×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
111912
2141712
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 (PI.f64) (sqrt.f64 l))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) (sqrt.f64 l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 l (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 l))))))))

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
870×fma-def_binary64
487×cube-prod_binary64
382×distribute-rgt-neg-in_binary64
382×fma-neg_binary64
320×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01060
12360
26960
315760
458460
5133260
6231960
7343360
8449060
9629460
Stop Event
1×unsound
Counts
34 → 24
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

eval143.0ms (1.1%)

Compiler

Compiled 7210 to 3930 computations (45.5% saved)

prune69.0ms (0.5%)

Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New4077414
Fresh6713
Picked011
Done268
Total41521436
Error
0.0b
Counts
436 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
12.8b
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
37.6b
(*.f64 (sqrt.f64 (*.f64 l (pow.f64 (PI.f64) 2))) (sqrt.f64 l))
✓20.5b
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
54.4b
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
✓12.3b
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
✓12.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
✓37.7b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
✓20.8b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
28.2b
(+.f64 (fma.f64 l (PI.f64) -1) 1)
✓28.3b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
54.2b
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
17.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (*.f64 l (PI.f64))) -1) F))
51.2b
(*.f64 -1 (pow.f64 (*.f64 (/.f64 F l) (/.f64 F (PI.f64))) -1))
51.2b
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
51.2b
(*.f64 (PI.f64) (*.f64 (/.f64 -1 F) (/.f64 l F)))
54.5b
(neg.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))))
✓12.0b
(*.f64 l (PI.f64))
25.3b
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
51.2b
(*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F))
58.3b
(*.f64 -1 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2))
51.2b
(*.f64 -1 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
Compiler

Compiled 230 to 170 computations (26.1% saved)

regimes826.0ms (6.5%)

Counts
57 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (*.f64 (/.f64 -1 F) (/.f64 l F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))))
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
(+.f64 (fma.f64 l (PI.f64) -1) 1)
(neg.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 -1 (pow.f64 (*.f64 (/.f64 F l) (/.f64 F (PI.f64))) -1))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (/.f64 1 F)) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 -1 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (*.f64 l (PI.f64))) -1) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 l (pow.f64 (PI.f64) 2))) (sqrt.f64 l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) F))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.f64 F F)))
(-.f64 (*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 6)) (/.f64 1 (fma.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 2))))
Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(+.f64 (fma.f64 l (PI.f64) -1) 1)
Calls

9 calls:

192.0ms
F
128.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
107.0ms
(*.f64 (PI.f64) l)
107.0ms
(*.f64 (PI.f64) l)
93.0ms
l
Results
ErrorSegmentsBranch
4.8b5F
0.2b3l
5.3b3(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
0.2b3(*.f64 (PI.f64) l)
0.2b3(*.f64 (PI.f64) l)
7.5b2(/.f64 1 (*.f64 F F))
7.5b2(/.f64 1 (*.f64 F F))
7.3b2(*.f64 F F)
7.3b2(*.f64 F F)
Compiler

Compiled 699 to 288 computations (58.8% saved)

bsearch24.0ms (0.2%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.018237836645249153
0.5572889650723224
0.0ms
-1612003618740895.0
-11.88199439563002
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes456.0ms (3.6%)

Counts
34 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (*.f64 (/.f64 -1 F) (/.f64 l F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))))
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
(+.f64 (fma.f64 l (PI.f64) -1) 1)
(neg.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 -1 (pow.f64 (*.f64 (/.f64 F l) (/.f64 F (PI.f64))) -1))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (/.f64 1 F)) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 -1 (pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2))
Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(+.f64 (fma.f64 l (PI.f64) -1) 1)
Calls

5 calls:

152.0ms
F
92.0ms
(*.f64 F F)
82.0ms
l
75.0ms
(*.f64 F F)
46.0ms
(*.f64 (PI.f64) l)
Results
ErrorSegmentsBranch
7.5b6F
0.4b3l
0.4b3(*.f64 (PI.f64) l)
8.1b6(*.f64 F F)
8.1b6(*.f64 F F)
Compiler

Compiled 307 to 133 computations (56.7% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.018237836645249153
0.5572889650723224
0.0ms
-1612003618740895.0
-11.88199439563002
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes186.0ms (1.5%)

Counts
21 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (*.f64 (/.f64 -1 F) (/.f64 l F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))))
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
(+.f64 (fma.f64 l (PI.f64) -1) 1)
(neg.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 -1 (pow.f64 (*.f64 (/.f64 F l) (/.f64 F (PI.f64))) -1))
Outputs
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (fma.f64 l (PI.f64) -1) 1)
Calls

4 calls:

58.0ms
F
45.0ms
(*.f64 F F)
40.0ms
(*.f64 F F)
35.0ms
l
Results
ErrorSegmentsBranch
7.5b6F
3.4b3l
8.1b6(*.f64 F F)
8.1b6(*.f64 F F)
Compiler

Compiled 194 to 88 computations (54.6% saved)

bsearch212.0ms (1.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
93.0ms
0.005805283706787825
0.17739058704365346
118.0ms
-513116688409273.0
-3.7821562837094307
Compiler

Compiled 348 to 256 computations (26.4% saved)

regimes142.0ms (1.1%)

Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (*.f64 (/.f64 -1 F) (/.f64 l F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))))
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
Outputs
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

4 calls:

44.0ms
F
36.0ms
(*.f64 F F)
35.0ms
(*.f64 F F)
23.0ms
l
Results
ErrorSegmentsBranch
7.5b6F
3.4b3l
8.1b6(*.f64 F F)
8.1b6(*.f64 F F)
Compiler

Compiled 142 to 58 computations (59.2% saved)

bsearch222.0ms (1.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
108.0ms
0.005805283706787825
0.17739058704365346
114.0ms
-513116688409273.0
-3.7821562837094307
Compiler

Compiled 327 to 235 computations (28.1% saved)

regimes167.0ms (1.3%)

Counts
10 → 7
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (PI.f64) (*.f64 (/.f64 -1 F) (/.f64 l F)))
Outputs
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 l (PI.f64))
Calls

4 calls:

56.0ms
(*.f64 F F)
54.0ms
F
28.0ms
l
26.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
6.8b7F
9.3b5l
8.6b5(*.f64 F F)
8.6b5(*.f64 F F)
Compiler

Compiled 93 to 42 computations (54.8% saved)

bsearch1.1s (8.4%)

Algorithm
6×binary-search
Steps
TimeLeftRight
59.0ms
1.306601849189003e-17
5.116832080949101e-17
57.0ms
1.4939116397832601e-62
1.417228872418312e-60
73.0ms
6.6180432152346266e-121
6.807892938445075e-120
182.0ms
5.731130462967596e-159
1.2284728035321268e-151
623.0ms
-5.463341499415953e-199
-3.533877523563838e-201
77.0ms
-4.675860782316854e-102
-1.1452827554518818e-109
Compiler

Compiled 168 to 133 computations (20.8% saved)

regimes52.0ms (0.4%)

Counts
5 → 7
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F))
Outputs
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 l (PI.f64))
Calls

2 calls:

30.0ms
F
21.0ms
l
Results
ErrorSegmentsBranch
6.8b7F
9.3b5l
Compiler

Compiled 42 to 23 computations (45.2% saved)

bsearch1.1s (8.6%)

Algorithm
6×binary-search
Steps
TimeLeftRight
63.0ms
1.306601849189003e-17
5.116832080949101e-17
59.0ms
1.4939116397832601e-62
1.417228872418312e-60
84.0ms
6.6180432152346266e-121
6.807892938445075e-120
174.0ms
5.731130462967596e-159
1.2284728035321268e-151
636.0ms
-5.463341499415953e-199
-3.533877523563838e-201
72.0ms
-4.675860782316854e-102
-1.1452827554518818e-109
Compiler

Compiled 168 to 133 computations (20.8% saved)

regimes35.0ms (0.3%)

Counts
4 → 5
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))
(*.f64 l (PI.f64))
Calls

2 calls:

22.0ms
F
11.0ms
l
Results
ErrorSegmentsBranch
8.4b5F
10.8b3l
Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch349.0ms (2.7%)

Algorithm
4×binary-search
Steps
TimeLeftRight
52.0ms
1.306601849189003e-17
5.116832080949101e-17
53.0ms
1.4939116397832601e-62
1.417228872418312e-60
73.0ms
6.6180432152346266e-121
6.807892938445075e-120
169.0ms
5.731130462967596e-159
1.2284728035321268e-151
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -16.3b remaining (-136.2%)

Threshold costs -16.3b (-136.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
Outputs
(*.f64 l (PI.f64))
Calls

2 calls:

3.0ms
F
3.0ms
l
Results
ErrorSegmentsBranch
12.0b1F
12.0b1l
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify19.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
25×*-commutative_binary64
23×+-commutative_binary64
21×sub-neg_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073472
1108472
2145472
3187472
4218472
5229472
6232472
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) -1000000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 368934881474191040/18446744073709551616) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (+.f64 (fma.f64 l (PI.f64) -1) 1)))
(if (<=.f64 (*.f64 (PI.f64) l) -1000000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 368934881474191040/18446744073709551616) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) (+.f64 (fma.f64 l (PI.f64) -1) 1)))
(if (<=.f64 l -4278419646001971/1125899906842624) (*.f64 l (PI.f64)) (if (<=.f64 l 108835790034886352/18446744073709551616) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (+.f64 (fma.f64 l (PI.f64) -1) 1)))
(if (<=.f64 l -4278419646001971/1125899906842624) (*.f64 l (PI.f64)) (if (<=.f64 l 108835790034886352/18446744073709551616) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64))))
(if (<=.f64 F -1473906364146613/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 l (PI.f64)) (if (<=.f64 F -5817289496240377/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F)) (if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 l (PI.f64))))))))
(if (<=.f64 F -1473906364146613/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 l (PI.f64)) (if (<=.f64 F -5817289496240377/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F)) (if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 l (PI.f64))))))))
(if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 l (PI.f64)) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 l (PI.f64))))))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) -1000000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 368934881474191040/18446744073709551616) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (+.f64 (fma.f64 l (PI.f64) -1) 1)))
(if (<=.f64 (*.f64 (PI.f64) l) -1000000000000000) (*.f64 (PI.f64) l) (if (<=.f64 (*.f64 (PI.f64) l) 5764607523034235/288230376151711744) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (+.f64 (fma.f64 l (PI.f64) -1) 1)))
(if (<=.f64 (*.f64 (PI.f64) l) -1000000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 368934881474191040/18446744073709551616) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) (+.f64 (fma.f64 l (PI.f64) -1) 1)))
(if (<=.f64 (*.f64 (PI.f64) l) -1000000000000000) (*.f64 (PI.f64) l) (if (<=.f64 (*.f64 (PI.f64) l) 5764607523034235/288230376151711744) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (+.f64 (fma.f64 l (PI.f64) -1) 1)))
(if (<=.f64 l -4278419646001971/1125899906842624) (*.f64 l (PI.f64)) (if (<=.f64 l 108835790034886352/18446744073709551616) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (+.f64 (fma.f64 l (PI.f64) -1) 1)))
(if (<=.f64 l -4278419646001971/1125899906842624) (*.f64 (PI.f64) l) (if (<=.f64 l 6802236877180397/1152921504606846976) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (+.f64 (fma.f64 l (PI.f64) -1) 1)))
(if (<=.f64 l -4278419646001971/1125899906842624) (*.f64 l (PI.f64)) (if (<=.f64 l 108835790034886352/18446744073709551616) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64))))
(if (<=.f64 l -4278419646001971/1125899906842624) (*.f64 (PI.f64) l) (if (<=.f64 l 6802236877180397/1152921504606846976) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)))
(if (<=.f64 F -1473906364146613/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 l (PI.f64)) (if (<=.f64 F -5817289496240377/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F)) (if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 l (PI.f64))))))))
(if (<=.f64 F -1473906364146613/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 (PI.f64) l) (if (<=.f64 F -5817289496240377/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F)) (if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (+.f64 (+.f64 (*.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (+.f64 (+.f64 (*.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 (PI.f64) l)))))))
(if (<=.f64 F -1473906364146613/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 (PI.f64) l) (if (<=.f64 F -5817289496240377/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F)) (if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (+.f64 -1 (+.f64 (*.f64 (PI.f64) l) 1)) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (+.f64 -1 (+.f64 (*.f64 (PI.f64) l) 1)) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 (PI.f64) l)))))))
(if (<=.f64 F -1473906364146613/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 l (PI.f64)) (if (<=.f64 F -5817289496240377/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F)) (if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 l (PI.f64))))))))
(if (<=.f64 F -1473906364146613/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 (PI.f64) l) (if (<=.f64 F -5817289496240377/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F)) (if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (+.f64 (+.f64 (*.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (+.f64 (+.f64 (*.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 (PI.f64) l)))))))
(if (<=.f64 F -1473906364146613/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 (PI.f64) l) (if (<=.f64 F -5817289496240377/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048) (*.f64 (PI.f64) (/.f64 (neg.f64 (/.f64 l F)) F)) (if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (+.f64 -1 (+.f64 (*.f64 (PI.f64) l) 1)) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (+.f64 -1 (+.f64 (*.f64 (PI.f64) l) 1)) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 (PI.f64) l)))))))
(if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 l (PI.f64)) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 l (PI.f64))))))
(if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 (PI.f64) l) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (+.f64 (+.f64 (*.f64 (PI.f64) l) 1) -1) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 (PI.f64) l)))))
(if (<=.f64 F 1417482798300515/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (*.f64 (PI.f64) l) (if (<=.f64 F 1924100035157733/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (if (<=.f64 F 6919325996257945/463168356949264781694283940034751631413079938662562256157830336031652518559744) (+.f64 -1 (+.f64 (*.f64 (PI.f64) l) 1)) (if (<=.f64 F 8480330846124821/649037107316853453566312041152512) (*.f64 l (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) (*.f64 (PI.f64) l)))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

end129.0ms (1%)

Stop Event
1×fuel
Compiler

Compiled 614 to 303 computations (50.7% saved)

Profiling

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