Details

Time bar (total: 7.4s)

analyze1.1s (15.4%)

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 (46.5%)

Results
1.2s1086×body2048valid
927.0ms1945×body1024valid
656.0ms4119×body128valid
248.0ms728×body512valid
225.0ms56×body4096valid
79.0ms322×body256valid
50.0ms173×body128invalid
7.0ms10×body2048invalid
5.0msbody8192exit

preprocess64.0ms (0.9%)

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)))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
14.4b
Counts
3 → 2
Alt Table
StatusErrorProgram
14.4b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
14.6b
(-.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)))
0.3b
(*.f64 (PI.f64) l)
3.4b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
31.0b
(tan.f64 (*.f64 (PI.f64) l))

series15.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
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))

rewrite81.0ms (1.1%)

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))))))

simplify50.0ms (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 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.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))

prune644.0ms (8.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New22222244
Fresh011
Picked101
Done000
Total22323246
Error
10.9b
Counts
246 → 23
Alt Table
StatusErrorProgram
11.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
43.5b
(fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
45.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)) (*.f64 F F)))
14.4b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
43.2b
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
14.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F)))
40.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
14.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
37.7b
(fma.f64 (cbrt.f64 (*.f64 l l)) (*.f64 (cbrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
14.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
37.7b
(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))))
14.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (*.f64 F F)))
19.8b
(-.f64 (*.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
20.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F)))
28.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
37.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) 1/3) (*.f64 F F)))
43.3b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
36.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) (*.f64 F F)))
11.2b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
15.1b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
15.3b
(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))))
31.2b
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
14.7b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
Compiler

Compiled 7261 to 3475 computations (52.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 l (PI.f64))
0.3b
(*.f64 (PI.f64) l)
30.5b
(sin.f64 (*.f64 l (PI.f64)))
30.6b
(cos.f64 (*.f64 l (PI.f64)))

series3.0ms (0%)

Counts
3 → 8
Calls

9 calls:

TimeVariablePointExpression
1.0ms
l
@0
(cos.f64 (*.f64 l (PI.f64)))
0.0ms
l
@0
(sin.f64 (*.f64 l (PI.f64)))
0.0ms
l
@inf
(cos.f64 (*.f64 l (PI.f64)))
0.0ms
l
@-inf
(cos.f64 (*.f64 l (PI.f64)))
0.0ms
l
@inf
(*.f64 l (PI.f64))

rewrite37.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
550×pow1_binary64
501×add-log-exp_binary64
501×log1p-expm1-u_binary64
501×expm1-log1p-u_binary64
489×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
111619
2136319
Stop Event
node limit
Counts
3 → 45
Calls
Call 1
Inputs
(cos.f64 (*.f64 l (PI.f64)))
(sin.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 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 -.f64 (+.f64 1 (sin.f64 (*.f64 l (PI.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)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 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 -.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))))

simplify48.0ms (0.6%)

Algorithm
egg-herbie
Rules
508×associate-+l+_binary64
447×associate-+r+_binary64
357×associate-*l*_binary64
351×associate-*r*_binary64
302×distribute-lft-out_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
053196
1146194
2436192
32005192
42495183
53296174
64945174
Stop Event
node limit
Counts
53 → 59
Calls
Call 1
Inputs
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 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))))))
Outputs
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 (*.f64 -1/2 (*.f64 l l)) (pow.f64 (PI.f64) 2) 1)
(fma.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/2 (*.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 l (*.f64 l (pow.f64 (PI.f64) 2))) (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 (pow.f64 (PI.f64) 2) (*.f64 -1/2 (*.f64 l l)) 1))
(fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (pow.f64 (*.f64 l (PI.f64)) 4) 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))))))
(+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)) 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 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 1/24 (pow.f64 l 4)))) (fma.f64 (*.f64 -1/2 (*.f64 l l)) (pow.f64 (PI.f64) 2) 1))
(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)))
(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 (pow.f64 l 6) (*.f64 -1/720 (pow.f64 (PI.f64) 6)) 1)))
(fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (pow.f64 (*.f64 l (PI.f64)) 4) (fma.f64 -1/720 (pow.f64 (*.f64 l (PI.f64)) 6) 1)))
(*.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 (pow.f64 (PI.f64) 3) (*.f64 -1/6 (pow.f64 l 3))))
(fma.f64 l (PI.f64) (*.f64 -1/6 (pow.f64 (*.f64 l (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 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (fma.f64 l (PI.f64) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/120 (pow.f64 l 5)))))
(fma.f64 l (PI.f64) (fma.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/6 (pow.f64 l 3)))))
(fma.f64 l (PI.f64) (fma.f64 1/120 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/6 (pow.f64 l 3)))))
(fma.f64 l (PI.f64) (fma.f64 1/120 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (*.f64 -1/6 (pow.f64 (*.f64 l (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 (pow.f64 (PI.f64) 7) (*.f64 -1/5040 (pow.f64 l 7))))))
(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)) (fma.f64 -1/5040 (*.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7)) (*.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 (PI.f64) 5) (pow.f64 l 5)) (fma.f64 -1/5040 (*.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7)) (*.f64 l (PI.f64)))))
(fma.f64 -1/6 (pow.f64 (*.f64 l (PI.f64)) 3) (fma.f64 1/120 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (fma.f64 (pow.f64 l 7) (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (*.f64 l (PI.f64)))))

prune206.0ms (2.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh101222
Picked101
Done000
Total9318111
Error
0.8b
Counts
111 → 18
Alt Table
StatusErrorProgram
40.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)) F)) F))
43.3b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
11.4b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))) 3) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
15.1b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
28.3b
(-.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 (pow.f64 (*.f64 l (PI.f64)) 4) (fma.f64 -1/720 (pow.f64 (*.f64 l (PI.f64)) 6) 1))) F)) F))
43.2b
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
40.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
37.7b
(fma.f64 (cbrt.f64 (*.f64 l l)) (*.f64 (cbrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
14.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
21.9b
(-.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 (pow.f64 (*.f64 l (PI.f64)) 4) 1)) F)) F))
31.2b
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
4.9b
(-.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))
43.5b
(fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
11.2b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
15.3b
(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))))
36.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
37.7b
(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))))
19.8b
(-.f64 (*.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
Compiler

Compiled 2742 to 1189 computations (56.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F))
1.9b
(/.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)
3.1b
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)
30.5b
(sin.f64 (*.f64 l (PI.f64)))

series19.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
F
@0
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)
2.0ms
l
@inf
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)
1.0ms
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
l
@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))
1.0ms
l
@0
(/.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)

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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simplify55.0ms (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))
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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 -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 (*.f64 F (*.f64 l l)) (pow.f64 (PI.f64) 2))))
(*.f64 -2 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 F l) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (/.f64 -2 (*.f64 l (*.f64 l (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))))))
(fma.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 (*.f64 F (*.f64 l l)) (pow.f64 (PI.f64) 2)))))
(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)))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (+.f64 (/.f64 (/.f64 -4 (pow.f64 l 4)) (pow.f64 (PI.f64) 4)) (/.f64 -2 (*.f64 l (*.f64 l (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)))))))
(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)))) (*.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 -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)))

prune442.0ms (6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1662168
Fresh21517
Picked101
Done000
Total16917186
Error
0.8b
Counts
186 → 17
Alt Table
StatusErrorProgram
40.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)) F)) F))
43.3b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
28.3b
(-.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 (pow.f64 (*.f64 l (PI.f64)) 4) (fma.f64 -1/720 (pow.f64 (*.f64 l (PI.f64)) 6) 1))) F)) F))
43.2b
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
40.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
37.7b
(fma.f64 (cbrt.f64 (*.f64 l l)) (*.f64 (cbrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
14.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
21.9b
(-.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 (pow.f64 (*.f64 l (PI.f64)) 4) 1)) F)) F))
37.7b
(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))))
15.4b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
43.5b
(fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
15.1b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
15.3b
(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))))
4.9b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) -1))
36.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
31.2b
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
19.8b
(-.f64 (*.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
Compiler

Compiled 6114 to 3299 computations (46% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (PI.f64) l)
2.0b
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F))
3.1b
(*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)
30.5b
(sin.f64 (*.f64 l (PI.f64)))

series13.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite52.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
274×prod-diff_binary64
240×expm1-udef_binary64
240×log1p-udef_binary64
201×log-pow_binary64
140×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
128842
2345342
Stop Event
node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)
(*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 F (*.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2))) F)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1)) F))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 F 3) (pow.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 F (*.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2)) F)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2)) F F)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F) (/.f64 (sin.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) (sin.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F))) (neg.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) 1) (sin.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) (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 (/.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) (sqrt.f64 (sin.f64 (*.f64 l (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 F) (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) (neg.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F) (neg.f64 F)) (neg.f64 (sin.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1)) F) (/.f64 F (sin.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F) 3) (pow.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) 3) (pow.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 F (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (/.f64 F (sin.f64 (*.f64 l (PI.f64))))))) 1))))))

simplify54.0ms (0.7%)

Algorithm
egg-herbie
Rules
770×associate-*l*_binary64
721×associate-*r*_binary64
466×fma-neg_binary64
324×fma-def_binary64
202×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0671364
12151331
27921317
349751317
Stop Event
node limit
Counts
92 → 64
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 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(+.f64 (/.f64 (pow.f64 F 2) (*.f64 l (PI.f64))) (*.f64 l (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64))))))) (pow.f64 l 3))) (+.f64 (/.f64 (pow.f64 F 2) (*.f64 l (PI.f64))) (*.f64 l (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64)))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64))))))) (pow.f64 l 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 l 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64))))))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 5))) (*.f64 1/120 (*.f64 (pow.f64 (PI.f64) 4) (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64)))))))))) (+.f64 (/.f64 (pow.f64 F 2) (*.f64 l (PI.f64))) (*.f64 l (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64))))))))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64)))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64)))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
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)
(fma.f64 -1/2 (*.f64 F (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))) F)
(fma.f64 (*.f64 l l) (*.f64 F (*.f64 -1/2 (pow.f64 (PI.f64) 2))) F)
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(fma.f64 -1 (*.f64 (fma.f64 1/120 (*.f64 (*.f64 F F) (pow.f64 (PI.f64) 3)) (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (PI.f64) (*.f64 F F)) -1/3)))) (pow.f64 l 3)) (+.f64 (/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 F F)) -1/3))))
(fma.f64 (neg.f64 (fma.f64 -1/6 (*.f64 (*.f64 F (*.f64 F (pow.f64 (PI.f64) 3))) -1/3) (*.f64 (*.f64 F F) (*.f64 (pow.f64 (PI.f64) 3) 1/120)))) (pow.f64 l 3) (fma.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 F F) -1/3)) (/.f64 (/.f64 (*.f64 F F) l) (PI.f64))))
(-.f64 (fma.f64 l (*.f64 (PI.f64) (*.f64 F (*.f64 F -1/3))) (/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)) (*.f64 (fma.f64 (*.f64 F F) (*.f64 1/120 (pow.f64 (PI.f64) 3)) (*.f64 (*.f64 F (*.f64 F (pow.f64 (PI.f64) 3))) 1/18)) (pow.f64 l 3)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64))))))) (pow.f64 l 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 l 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64))))))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 F 2) (pow.f64 (PI.f64) 5))) (*.f64 1/120 (*.f64 (pow.f64 (PI.f64) 4) (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64)))))))))) (+.f64 (/.f64 (pow.f64 F 2) (*.f64 l (PI.f64))) (*.f64 l (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 F 2) (PI.f64))) (*.f64 -1/6 (*.f64 (pow.f64 F 2) (PI.f64))))))))
(fma.f64 -1 (*.f64 (fma.f64 1/120 (*.f64 (*.f64 F F) (pow.f64 (PI.f64) 3)) (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (PI.f64) (*.f64 F F)) -1/3)))) (pow.f64 l 3)) (fma.f64 -1 (*.f64 (pow.f64 l 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/120 (*.f64 (*.f64 F F) (pow.f64 (PI.f64) 3)) (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (PI.f64) (*.f64 F F)) -1/3))))) (fma.f64 -1/5040 (*.f64 (*.f64 F F) (pow.f64 (PI.f64) 5)) (*.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (PI.f64) (*.f64 F F)) -1/3))))) (+.f64 (/.f64 (/.f64 (*.f64 F F) l) (PI.f64)) (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 F F)) -1/3)))))
(-.f64 (-.f64 (fma.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 F F) -1/3)) (/.f64 (/.f64 (*.f64 F F) l) (PI.f64))) (*.f64 (pow.f64 l 5) (fma.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 -1/6 (*.f64 (*.f64 F (*.f64 F (pow.f64 (PI.f64) 3))) -1/3) (*.f64 (*.f64 F F) (*.f64 (pow.f64 (PI.f64) 3) 1/120)))) (fma.f64 -1/5040 (*.f64 (*.f64 F F) (pow.f64 (PI.f64) 5)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 F F) -1/3)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))))) (*.f64 (fma.f64 -1/6 (*.f64 (*.f64 F (*.f64 F (pow.f64 (PI.f64) 3))) -1/3) (*.f64 (*.f64 F F) (*.f64 (pow.f64 (PI.f64) 3) 1/120))) (pow.f64 l 3)))
(-.f64 (fma.f64 l (*.f64 (PI.f64) (*.f64 F (*.f64 F -1/3))) (/.f64 (/.f64 (*.f64 F F) (PI.f64)) l)) (fma.f64 (fma.f64 (*.f64 F F) (*.f64 1/120 (pow.f64 (PI.f64) 3)) (*.f64 (*.f64 F (*.f64 F (pow.f64 (PI.f64) 3))) 1/18)) (pow.f64 l 3) (*.f64 (pow.f64 l 5) (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (fma.f64 (*.f64 F F) (*.f64 1/120 (pow.f64 (PI.f64) 3)) (*.f64 (*.f64 F (*.f64 F (pow.f64 (PI.f64) 3))) 1/18)) 1/6) (fma.f64 (*.f64 F F) (*.f64 -1/5040 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (*.f64 (PI.f64) (*.f64 F F)) -1/360)))))))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64)))))
(*.f64 -1/2 (/.f64 (*.f64 (*.f64 (*.f64 F F) (*.f64 l l)) (pow.f64 (PI.f64) 2)) (sin.f64 (*.f64 l (PI.f64)))))
(*.f64 -1/2 (*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (*.f64 F F) (*.f64 l l)) (pow.f64 (PI.f64) 2)) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (*.f64 F F) (*.f64 l l)) (pow.f64 (PI.f64) 2)) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (*.f64 F F) (*.f64 l l)) (pow.f64 (PI.f64) 2)) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64)))))
(*.f64 -1/2 (/.f64 (*.f64 (*.f64 (*.f64 F F) (*.f64 l l)) (pow.f64 (PI.f64) 2)) (sin.f64 (*.f64 l (PI.f64)))))
(*.f64 -1/2 (*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))))
(*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2)))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (*.f64 F F) (*.f64 l l)) (pow.f64 (PI.f64) 2)) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (*.f64 F F) (*.f64 l l)) (pow.f64 (PI.f64) 2)) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(+.f64 (/.f64 (pow.f64 F 2) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (sin.f64 (*.f64 l (PI.f64))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (*.f64 F F) (*.f64 l l)) (pow.f64 (PI.f64) 2)) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))
(fma.f64 -1/2 (*.f64 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64))))) (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))))

prune178.0ms (2.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1012103
Fresh31316
Picked101
Done000
Total10515120
Error
0.4b
Counts
120 → 15
Alt Table
StatusErrorProgram
40.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)) F)) F))
43.3b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
43.2b
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
40.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
37.7b
(fma.f64 (cbrt.f64 (*.f64 l l)) (*.f64 (cbrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
14.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
36.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
11.7b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1)) F))) -1))
37.7b
(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))))
15.4b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
43.5b
(fma.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
15.3b
(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))))
5.7b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)) -1))
31.2b
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
19.8b
(-.f64 (*.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
Compiler

Compiled 3307 to 1768 computations (46.5% saved)

regimes506.0ms (6.8%)

Accuracy

Total -58.8b remaining (-8599.7%)

Threshold costs -58.8b (-8599.7%)

Counts
80 → 3
Compiler

Compiled 1535 to 616 computations (59.9% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Calls

2 calls:

0.0ms
(*.f64 (PI.f64) l)
0.0ms
(*.f64 (PI.f64) l)
Steps
ItersPointRange
500000.0
∈ [
374823.0277196785
,
1.4111170114488622e+25
]
-2e+21
∈ [
-3.3672117655216566e+21
,
-2.827631840608379e+19
]
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032131
143131
251131
359131
465131
568131
669131
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) -2000000000000000000000) (-.f64 (*.f64 (PI.f64) l) (pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1)) F))) -1)) (if (<=.f64 (*.f64 (PI.f64) l) 500000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)) (-.f64 (*.f64 (PI.f64) l) (pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1)) F))) -1))))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) -2000000000000000000000) (-.f64 (*.f64 (PI.f64) l) (pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1)) F))) -1)) (if (<=.f64 (*.f64 (PI.f64) l) 500000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F)) (-.f64 (*.f64 (PI.f64) l) (pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 l (PI.f64)))) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1)) F))) -1))))
(if (<=.f64 (*.f64 (PI.f64) l) -2000000000000000000000) (-.f64 (*.f64 (PI.f64) l) (pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (*.f64 (PI.f64) l) 2) 1)) F))) -1)) (if (<=.f64 (*.f64 (PI.f64) l) 500000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))) F)) (-.f64 (*.f64 (PI.f64) l) (pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) (log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (*.f64 (PI.f64) l) 2) 1)) F))) -1))))

end203.0ms (2.7%)

Stop Event
fuel
Compiler

Compiled 444 to 205 computations (53.8% saved)

Profiling

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