Details

Time bar (total: 7.7s)

analyze1.1s (14.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
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
39.9%55.9%4.2%13
40.2%54.9%4.9%14
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.4s (43.7%)

Results
1.2s1089×body2048valid
903.0ms1837×body1024valid
545.0ms4228×body128valid
378.0ms729×body512valid
154.0ms44×body4096valid
79.0ms329×body256valid
27.0ms187×body128invalid
5.0msbody2048invalid
4.0msbody8192exit

preprocess60.0ms (0.8%)

Algorithm
egg-herbie
Rules
816×fma-def_binary64
780×fma-neg_binary64
432×times-frac_binary64
354×div-sub_binary64
199×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
14340
210340
326540
445040
573040
699840
7139840
8255340
9421940
10483040
11488040
12491040
13492440
022
Stop Event
saturated
node limit
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 16 to 10 computations (37.5% saved)

simplify17.0ms (0.2%)

Algorithm
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
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)))

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
15.7b
Counts
3 → 2
Alt Table
StatusErrorProgram
15.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 88 to 48 computations (45.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
0.2b
(*.f64 (PI.f64) l)
3.7b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
28.1b
(tan.f64 (*.f64 (PI.f64) l))

series16.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
F
@0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
2.0ms
l
@0
(tan.f64 (*.f64 (PI.f64) l))
2.0ms
l
@0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
1.0ms
l
@0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
1.0ms
l
@inf
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))

rewrite74.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
532×log-prod_binary64
276×fma-def_binary64
187×expm1-udef_binary64
187×log1p-udef_binary64
158×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0945
120045
2288545
Stop Event
node limit
Counts
4 → 197
Calls
Call 1
Inputs
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(*.f64 (PI.f64) l)
(-.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 (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))))))
((#(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 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(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))) (pow.f64 F -2)))))) (#(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 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))) (#(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 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F 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))) (*.f64 F 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 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 F F))))))) (#(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 (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 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 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 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 exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) l)) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) l)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) l))))))) (#(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 (exp.f64 (log1p.f64 (*.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 (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 pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))))))
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(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.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 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.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 (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 expm1.f64 (log1p.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 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))))))

simplify52.0ms (0.7%)

Algorithm
egg-herbie
Rules
594×fma-def_binary64
483×associate-*l*_binary64
329×associate-/l*_binary64
303×times-frac_binary64
167×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01042029
13261943
212091830
Stop Event
node limit
Counts
269 → 228
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 (*.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 (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))
(*.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 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 l (PI.f64) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 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))))))
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(-.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)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))

prune744.0ms (9.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New22618244
Fresh011
Picked101
Done000
Total22719246
Error
11.8b
Counts
246 → 19
Alt Table
StatusErrorProgram
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
28.7b
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
26.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
35.8b
(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))))
37.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) (*.f64 F F)))
41.8b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
12.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
16.9b
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
46.0b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (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)))
25.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l)))))) (*.f64 F F)))
43.2b
(/.f64 1 (/.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
15.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F)))
42.4b
(fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
52.6b
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
24.4b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F)))
15.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.f64 F F)))
46.1b
(fma.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (/.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))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
41.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F)))
12.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
Compiler

Compiled 7265 to 3447 computations (52.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (PI.f64) l)
0.3b
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
27.5b
(cos.f64 (*.f64 l (PI.f64)))
28.3b
(sin.f64 (*.f64 l (PI.f64)))

series9.0ms (0.1%)

Counts
3 → 24
Calls

12 calls:

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

rewrite50.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
518×log-prod_binary64
252×prod-diff_binary64
179×pow1/3_binary64
173×expm1-udef_binary64
173×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0933
118324
2243024
Stop Event
node limit
Counts
3 → 89
Calls
Call 1
Inputs
(sin.f64 (*.f64 l (PI.f64)))
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 l (PI.f64))))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 l (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 l (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 l (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 l (PI.f64)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 l (PI.f64))))) (cbrt.f64 (exp.f64 (cos.f64 (*.f64 l (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (*.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 l (PI.f64)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (*.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 l (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 l (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 l (PI.f64)))) 2) (cbrt.f64 (cos.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (cos.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 l (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 l (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 l (PI.f64)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 1 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (/.f64 1 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (/.f64 1 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (/.f64 1 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))))))) (#(struct:change #<rule 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*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 2) F) (/.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) 2)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 2) (sqrt.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) 1))))))

simplify43.0ms (0.6%)

Algorithm
egg-herbie
Rules
525×associate-*r*_binary64
523×associate-*l*_binary64
417×fma-def_binary64
337×cancel-sign-sub-inv_binary64
195×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
088721
1261684
2855654
34271642
Stop Event
node limit
Counts
113 → 113
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (*.f64 l (PI.f64)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 l (PI.f64)) (*.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))) (*.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))))))
1
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (*.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(/.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 l (PI.f64)) F) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (*.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 l (PI.f64)) F) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (*.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 (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)))))
Outputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (*.f64 l (PI.f64)))
(fma.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (*.f64 l (PI.f64)))
(fma.f64 l (PI.f64) (*.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 l (PI.f64)) (*.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (fma.f64 l (PI.f64) (*.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)) (fma.f64 l (PI.f64) (*.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))) (*.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))))))
(fma.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (fma.f64 l (PI.f64) (fma.f64 -1/5040 (*.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7)) (*.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))))))
(fma.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (fma.f64 l (PI.f64) (fma.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)) (*.f64 -1/5040 (*.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 l (PI.f64) (fma.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)) (*.f64 -1/5040 (*.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))))))
1
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)
(fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)) 1)
(fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (*.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)) 1) (*.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))
(fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) 1))
(fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (*.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)) (+.f64 1 (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) (*.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) 1)) (*.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))
(fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1)))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l 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 l (PI.f64)) F) (*.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)))
(fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) F) (*.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F)))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (*.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 l (PI.f64)) F) (fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F) (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3))))) (pow.f64 l 5) (*.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3))))
(+.f64 (*.f64 (/.f64 l F) (PI.f64)) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) F) (*.f64 (pow.f64 l 5) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) F) (*.f64 (pow.f64 (PI.f64) 2) -1/2))))))
(fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F))))
(fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (*.f64 1/6 (/.f64 (pow.f64 (PI.f64) 5) F))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F))))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (*.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 l (PI.f64)) F) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F) (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)))))))))) (pow.f64 l 7) (fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F) (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3))))) (pow.f64 l 5) (*.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)))))
(+.f64 (*.f64 (/.f64 l F) (PI.f64)) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (*.f64 (pow.f64 (PI.f64) 4) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) F)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) F) (*.f64 (pow.f64 (PI.f64) 2) -1/2)))) (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F))))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) F) (*.f64 (pow.f64 l 5) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) F) (*.f64 (pow.f64 (PI.f64) 2) -1/2)))))))
(fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 -1/5040 F) (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64)))))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (*.f64 (/.f64 (pow.f64 (PI.f64) 6) (/.f64 F (PI.f64))) 1/72)))) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F)))))
(fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 -1/5040 F) (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/2 (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (*.f64 1/6 (/.f64 (pow.f64 (PI.f64) 5) F)))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (*.f64 (/.f64 (pow.f64 (PI.f64) 6) (/.f64 F (PI.f64))) 1/72)))) (fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (*.f64 1/6 (/.f64 (pow.f64 (PI.f64) 5) F))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F)))))
(/.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))))

prune323.0ms (4.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1254129
Fresh71118
Picked101
Done000
Total13315148
Error
1.8b
Counts
148 → 15
Alt Table
StatusErrorProgram
26.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
26.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
35.8b
(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))))
18.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
46.1b
(fma.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (/.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))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
41.8b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
12.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
16.9b
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
46.0b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (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)))
6.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F))
17.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
15.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.f64 F F)))
43.2b
(/.f64 1 (/.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
42.4b
(fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
Compiler

Compiled 3961 to 1633 computations (58.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F))
1.5b
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F)
3.8b
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)
28.3b
(sin.f64 (*.f64 l (PI.f64)))

series20.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
l
@-inf
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F))
2.0ms
F
@0
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F))
2.0ms
l
@inf
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F)
1.0ms
F
@0
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)
1.0ms
l
@inf
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F))

rewrite77.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
671×prod-diff_binary64
179×add-sqr-sqrt_binary64
175×pow1_binary64
173×*-un-lft-identity_binary64
167×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
136766
2475066
Stop Event
node limit
Counts
3 → 103
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1))) 1))))))

simplify54.0ms (0.7%)

Algorithm
egg-herbie
Rules
779×associate-/r*_binary64
656×times-frac_binary64
504×fma-def_binary64
265×associate-/l*_binary64
120×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01292697
13942679
214052499
Stop Event
node limit
Counts
175 → 145
Calls
Call 1
Inputs
F
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(/.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 (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 (pow.f64 l 5) (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (*.f64 (-.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)))) (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (*.f64 (-.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)))) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 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 (pow.f64 l 5) (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (*.f64 (-.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)))) (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (*.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(+.f64 (*.f64 -16 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (+.f64 (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (*.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (*.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(+.f64 (*.f64 -16 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (+.f64 (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (*.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.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 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 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2)))) (pow.f64 l 5))))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))) (pow.f64 l 7)) (+.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 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2)))) (pow.f64 l 5)))))
(*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (*.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))) (+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))))
(+.f64 (*.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))) (+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (+.f64 (*.f64 -16 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))))))
(*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (*.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))) (+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))))
(+.f64 (*.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))) (+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (+.f64 (*.f64 -16 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
Outputs
F
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(*.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)))
(*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 F l) l)))
(*.f64 F (*.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(*.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)))
(*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 F l) l)))
(*.f64 F (*.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(*.f64 F (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(/.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 (*.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 l F) (/.f64 (PI.f64) F)))
(fma.f64 (/.f64 l F) (/.f64 (PI.f64) F) (*.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3))))
(+.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 (pow.f64 l 5) (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (*.f64 (-.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)))) (pow.f64 (PI.f64) 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) (fma.f64 (pow.f64 l 5) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.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)) (fma.f64 (pow.f64 l 5) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2)) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)))) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F))))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (fma.f64 (pow.f64 l 5) (fma.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F))) -1/3) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)))) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F))))
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(fma.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))) (fma.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 F l) l))) (*.f64 -4 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 l l) (*.f64 F (pow.f64 (PI.f64) 2)))) (*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (+.f64 (/.f64 (/.f64 -4 (pow.f64 l 4)) (pow.f64 (PI.f64) 4)) (/.f64 -8 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))
(+.f64 (*.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))) (+.f64 (*.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (+.f64 (*.f64 -16 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))))))
(fma.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))) (fma.f64 -4 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (fma.f64 -16 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F (pow.f64 l 8)) (pow.f64 (PI.f64) 8))) (*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F (*.f64 l l)) (pow.f64 (PI.f64) 2)))))))
(fma.f64 -8 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))) (fma.f64 -4 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))) (fma.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 F l) l))) (*.f64 -16 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8)))))))
(+.f64 (*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (+.f64 (/.f64 -2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2)))) (/.f64 -16 (*.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (+.f64 (/.f64 (/.f64 -4 (pow.f64 l 4)) (pow.f64 (PI.f64) 4)) (/.f64 -8 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 (*.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (fma.f64 (*.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))

prune396.0ms (5.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh01414
Picked011
Done000
Total17415189
Error
1.8b
Counts
189 → 15
Alt Table
StatusErrorProgram
26.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
26.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
35.8b
(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))))
18.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
46.1b
(fma.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (/.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))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
41.8b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
12.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
16.9b
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
46.0b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (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)))
6.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F))
17.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
15.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.f64 F F)))
43.2b
(/.f64 1 (/.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
42.4b
(fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
Compiler

Compiled 6360 to 3414 computations (46.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)
0.5b
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)
0.6b
(cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))
28.1b
(tan.f64 (*.f64 (PI.f64) l))

series25.0ms (0.3%)

Counts
3 → 36
Calls

12 calls:

TimeVariablePointExpression
7.0ms
l
@0
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)
3.0ms
l
@-inf
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)
3.0ms
l
@inf
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)
3.0ms
F
@0
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)
2.0ms
l
@inf
(cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))

rewrite52.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
886×log1p-expm1-u_binary64
886×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
100×pow1_binary64
99×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
120736
2245436
Stop Event
node limit
Counts
3 → 75
Calls
Call 1
Inputs
(cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1/3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/6) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)) 2) (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (/.f64 1 (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4)) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4)) (sqrt.f64 F)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F)) 1))))))

simplify69.0ms (0.9%)

Algorithm
egg-herbie
Rules
702×unswap-sqr_binary64
555×times-frac_binary64
290×associate-/l*_binary64
268×associate-*l*_binary64
192×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018936
139876
269876
3154876
4503876
53131876
64523876
74774876
Stop Event
node limit
Counts
111 → 81
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
Outputs
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) 1/3) (/.f64 1 F))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) (/.f64 1 F))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))) F)

prune259.0ms (3.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1721173
Fresh01313
Picked011
Done011
Total17216188
Error
1.8b
Counts
188 → 16
Alt Table
StatusErrorProgram
26.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
12.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
26.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
35.8b
(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))))
18.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
46.1b
(fma.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (/.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))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
41.8b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
12.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
16.9b
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
46.0b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (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)))
6.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F))
17.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
15.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.f64 F F)))
43.2b
(/.f64 1 (/.f64 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l)) (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
42.4b
(fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
Compiler

Compiled 5435 to 2139 computations (60.6% saved)

regimes582.0ms (7.6%)

Accuracy

Total -54.8b remaining (-1759%)

Threshold costs -54.8b (-1759%)

Counts
78 → 3
Compiler

Compiled 1631 to 659 computations (59.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Calls

2 calls:

0.0ms
(*.f64 (PI.f64) l)
0.0ms
(*.f64 (PI.f64) l)
Steps
ItersPointRange
5e+128
∈ [
3.990030827759081e+128
,
3.843619901743113e+129
]
-2e+161
∈ [
-3.085447353034551e+161
,
-6.823096822604893e+141
]
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039147
152147
263147
374147
482147
586147
687147
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) -200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F))))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) -200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F))))
(if (<=.f64 (*.f64 (PI.f64) l) -200000000000000007549178649645629774132327302564057953866173176240352537275077542100950227839308580956939055530727458023528864595784116398019642331585336240504832) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 (PI.f64) l) 2) 1) F)))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 499999999999999999108721782092620707994464434379706250218271669864970200952952324748557883071134280004888587983375832688116105216) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)))) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 (PI.f64) l) 2) 1) F)))) F))))

end248.0ms (3.2%)

Stop Event
fuel
Compiler

Compiled 589 to 282 computations (52.1% saved)

Profiling

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