Details

Time bar (total: 13.3s)

analyze324.0ms (2.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
18.8%18.7%81.2%0.1%0%0%0%7
18.8%18.7%81.2%0.1%0%0%0%8
29.9%29.7%69.5%0.1%0.8%0%0%9
31%30.4%67.9%0.1%1.6%0%0%10
37.3%36.3%61.1%0.1%2.5%0%0%11
38.3%36.9%59.5%0.1%3.5%0%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.9s (21.7%)

Results
1.1s1060×body2048valid
679.0ms1843×body1024valid
575.0ms4510×body256valid
221.0ms65×body4096valid
189.0ms778×body512valid
37.0ms280×body256infinite
7.0ms12×body8192exit
5.0msbody2048infinite
Bogosity

preprocess208.0ms (1.6%)

Algorithm
egg-herbie
Rules
752×fma-def
724×associate-+l-
678×associate-/r*
666×distribute-lft-in
614×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02090
14778
210978
327778
458778
588878
6123778
7171878
8305778
9486878
10611478
11615278
12618278
13620678
14649278
15658878
16738678
17738678
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) F) (*.f64 (/.f64 1 (*.f64 l l)) (tan.f64 (*.f64 (PI.f64) F))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) F) (*.f64 (/.f64 1 (*.f64 l l)) (tan.f64 (*.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) F)) (*.f64 l l)))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify38.0ms (0.3%)

Algorithm
egg-herbie
Rules
278×fma-def
236×associate-*r*
136×*-commutative
132×+-commutative
124×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01445
12939
26139
314739
430739
545039
661739
777439
8106839
9139739
10146639
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)))

eval1.0ms (0%)

Compiler

Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
17.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
17.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
17.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 30 to 18 computations (40% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (PI.f64) l)
0.5b
(/.f64 1 (*.f64 F F))
4.6b
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
31.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 45 to 16 computations (64.4% saved)

series10.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
3.0ms
F
@inf
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms
F
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms
l
@0
(tan.f64 (*.f64 (PI.f64) l))
1.0ms
l
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms
l
@inf
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite96.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1192×associate-*r/
936×associate-*l/
924×unswap-sqr
740×swap-sqr
628×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
125854
2314854
Stop Event
node limit
Counts
4 → 233
Calls
Call 1
Inputs
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 F F))
(*.f64 (PI.f64) l)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (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 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 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((#(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)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 F -2) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))))) (#(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 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (*.f64 F F) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule 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((#(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 (sqrt.f64 (*.f64 (PI.f64) l)) 2)))) (#(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 (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 l) (PI.f64)))))) (#(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 cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))))

simplify137.0ms (1%)

Algorithm
egg-herbie
Rules
1462×times-frac
970×associate-*r*
930×associate-*l*
814×associate-/r*
604×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059710137
115069641
276989641
Stop Event
node limit
Counts
293 → 325
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 2) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 1 F) (cbrt.f64 F))) 1) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 1 F) (cbrt.f64 F))) -1) (cbrt.f64 (*.f64 F (neg.f64 F))))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))) (cbrt.f64 F))
(/.f64 (*.f64 (*.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (pow.f64 F -2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1) F)
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1) (/.f64 F 1))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 F))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) -1) (neg.f64 F))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 -1)) (sqrt.f64 (*.f64 F (neg.f64 F))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 (/.f64 1 F))) (sqrt.f64 F))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (*.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) F)
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) 1) (*.f64 (*.f64 F (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 F) F)) (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 F -2)) F) (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F))
(/.f64 (*.f64 (/.f64 -1 F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
(/.f64 (*.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) 1) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) 1) 1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) 1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) -1) 1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) 1) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 2)) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F))
(/.f64 (*.f64 -1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 (*.f64 F (neg.f64 F))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 F))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 F))
(/.f64 (*.f64 1 (*.f64 (cbrt.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) F)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 F 4)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)) (*.f64 (sqrt.f64 F) F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)) (sqrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 (cbrt.f64 (pow.f64 F 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 F (neg.f64 F)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (neg.f64 F))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (neg.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) -1) (*.f64 F F))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (*.f64 F (neg.f64 F)))) (sqrt.f64 (*.f64 F (neg.f64 F))))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (cbrt.f64 (*.f64 F (neg.f64 F))) (cbrt.f64 (*.f64 F (neg.f64 F))))) (cbrt.f64 (*.f64 F (neg.f64 F))))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (cbrt.f64 (pow.f64 F 4)))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) 1) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 F)) (cbrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (cbrt.f64 (pow.f64 F 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1)
(*.f64 1 (pow.f64 F -2))
(*.f64 (pow.f64 F -2) 1)
(*.f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))
(*.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)) (cbrt.f64 (pow.f64 F -2)))
(*.f64 (/.f64 1 F) (/.f64 1 F))
(*.f64 -1 (/.f64 (/.f64 -1 F) F))
(*.f64 (/.f64 (/.f64 -1 F) F) -1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 F 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 F) 2) -1))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (*.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))) (*.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))))
(pow.f64 F -2)
(pow.f64 (*.f64 F F) -1)
(pow.f64 (pow.f64 F -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)
(pow.f64 (pow.f64 (pow.f64 F -2) 3) 1/3)
(pow.f64 (/.f64 1 F) 2)
(neg.f64 (/.f64 (/.f64 -1 F) F))
(sqrt.f64 (/.f64 1 (pow.f64 F 4)))
(log.f64 (exp.f64 (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 F -2))))
(cbrt.f64 (pow.f64 (pow.f64 F -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 F -2)))
(exp.f64 (*.f64 -2 (log.f64 F)))
(exp.f64 (*.f64 (*.f64 (log.f64 F) 2) -1))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1))
(log1p.f64 (expm1.f64 (pow.f64 F -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(pow.f64 (*.f64 (PI.f64) l) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))
(cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
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 (*.f64 l (PI.f64)) 3) 1/3))
(+.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))))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))
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(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 1 (pow.f64 F -2))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (pow.f64 F -2) 1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (cbrt.f64 (pow.f64 F -2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))
(*.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 F -2)))
(/.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 F (cbrt.f64 F)))
(*.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)) (cbrt.f64 (pow.f64 F -2)))
(*.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 F -2)))
(/.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 F (cbrt.f64 F)))
(*.f64 (/.f64 1 F) (/.f64 1 F))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 -1 (/.f64 (/.f64 -1 F) F))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (/.f64 (/.f64 -1 F) F) -1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 F 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 F) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 1 (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) 1) (pow.f64 (cbrt.f64 F) 2))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (pow.f64 F -2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F))) (*.f64 (cbrt.f64 (pow.f64 F -2)) (cbrt.f64 (pow.f64 F -2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (cbrt.f64 (pow.f64 F -2))))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 F -2))) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))
(*.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 F -2)))
(/.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 F (cbrt.f64 F)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))) (*.f64 (cbrt.f64 (/.f64 1 F)) (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 F (cbrt.f64 F)))) (sqrt.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))))) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F))))
(*.f64 (cbrt.f64 (/.f64 1 F)) (*.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))) (*.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (cbrt.f64 (pow.f64 F -2)))))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 F) (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 F (cbrt.f64 F)))) (sqrt.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))))) (*.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F))))
(*.f64 (cbrt.f64 (/.f64 1 F)) (*.f64 (/.f64 1 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (/.f64 1 F))))
(pow.f64 F -2)
(/.f64 1 (*.f64 F F))
(pow.f64 (*.f64 F F) -1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(pow.f64 (pow.f64 F -2) 1)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(pow.f64 (pow.f64 (pow.f64 F -2) 3) 1/3)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(pow.f64 (/.f64 1 F) 2)
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(neg.f64 (/.f64 (/.f64 -1 F) F))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(sqrt.f64 (/.f64 1 (pow.f64 F 4)))
(log.f64 (exp.f64 (pow.f64 F -2)))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 F -2))))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(cbrt.f64 (pow.f64 (pow.f64 F -2) 3))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(expm1.f64 (log1p.f64 (pow.f64 F -2)))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(exp.f64 (*.f64 -2 (log.f64 F)))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(exp.f64 (*.f64 (*.f64 (log.f64 F) 2) -1))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(exp.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(log1p.f64 (expm1.f64 (pow.f64 F -2)))
(/.f64 1 (*.f64 F F))
(pow.f64 F -2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) l))) 1)
(*.f64 l (PI.f64))
(pow.f64 (*.f64 (PI.f64) l) 1)
(*.f64 l (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(*.f64 l (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
(*.f64 l (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(fabs.f64 (*.f64 l (PI.f64)))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) l))))
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(*.f64 l (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))
(*.f64 l (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))
(*.f64 l (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))

localize12.0ms (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)
4.5b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
31.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 35 to 8 computations (77.1% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite100.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1662×associate-*l/
1336×associate-/r*
1042×associate-/l*
318×associate-/l/
276×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01264
125864
2357664
Stop Event
node limit
Counts
2 → 140
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (/.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 (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 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 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 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 -1 (*.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 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 -1 (*.f64 F F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 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 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(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 *.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 (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 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 F F) (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 pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(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 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))
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simplify162.0ms (1.2%)

Algorithm
egg-herbie
Rules
1210×associate-+r+
1108×associate-+l+
892×+-commutative
622×associate-*r*
550×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043316210
1126615400
2610715184
Stop Event
node limit
Counts
188 → 234
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 3) (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (PI.f64) l) 3)) (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 2) 3) (pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)) 3)) (*.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (pow.f64 (*.f64 (PI.f64) l) 2)) (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (neg.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) 1) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) 1) (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 1) (-.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 3)) 1) (-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) 1) (neg.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))) (sqrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (sqrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))) (sqrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)) (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (pow.f64 (*.f64 (PI.f64) l) 2)) (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))) (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (+.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)) (pow.f64 (*.f64 (PI.f64) l) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 2) 3) (pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)) 3)) (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (pow.f64 (*.f64 (PI.f64) l) 2)) (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (PI.f64) l) 3)) (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (+.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 3) (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (PI.f64) l) 3)) (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) 1) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (sqrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) 1) (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))
(pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 1 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
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(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
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(pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 1)
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(pow.f64 (pow.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) 3) 1/3)
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(fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (*.f64 l (PI.f64)))
(fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (*.f64 l (PI.f64)))
(fma.f64 1 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (*.f64 l (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (*.f64 l (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
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eval307.0ms (2.3%)

Compiler

Compiled 19823 to 8455 computations (57.3% saved)

prune244.0ms (1.8%)

Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New65526681
Fresh000
Picked101
Done101
Total65726683
Error
0.4b
Counts
683 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
38.9b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (*.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (pow.f64 F 4))))))
39.0b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
56.2b
(/.f64 (-.f64 (pow.f64 (*.f64 l (PI.f64)) 6) (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (*.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))))) (+.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) 3) (pow.f64 (*.f64 l (PI.f64)) 3))))
56.7b
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 l (PI.f64)) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) 3)) (fma.f64 (*.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) (fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) (-.f64 (*.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) (fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) (pow.f64 (*.f64 l (PI.f64)) 2)) (pow.f64 (*.f64 l (PI.f64)) 4))) (+.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) (fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) 3) (pow.f64 (*.f64 l (PI.f64)) 6)))
39.0b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))) (/.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))))
17.5b
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
40.5b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
17.9b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
17.6b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
12.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F)))
12.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
22.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
28.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
17.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (cbrt.f64 F)))) (cbrt.f64 (*.f64 F (neg.f64 F)))))
24.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
21.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F)))
22.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
17.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
12.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
17.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
22.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
42.1b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
42.1b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
45.6b
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
22.5b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
12.6b
(*.f64 l (PI.f64))
Compiler

Compiled 1388 to 830 computations (40.2% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 l (PI.f64))
Compiler

Compiled 7 to 4 computations (42.9% saved)

series0.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite48.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1112×add-sqr-sqrt
1102×*-un-lft-identity
1038×pow1
1014×add-cube-cbrt
998×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11179
213779
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
Outputs
((#(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 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(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 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))))

simplify63.0ms (0.5%)

Algorithm
egg-herbie
Rules
1066×*-commutative
914×log-prod
708×distribute-lft-out
636×distribute-rgt-in
632×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032231
178165
227299
3160299
4460899
5718899
Stop Event
node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(pow.f64 (*.f64 l (PI.f64)) 1)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
Outputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(pow.f64 (*.f64 l (PI.f64)) 1)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(log.f64 (pow.f64 (exp.f64 l) (PI.f64)))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(+.f64 1 (-.f64 (*.f64 l (PI.f64)) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
0.5b
(/.f64 (PI.f64) (*.f64 F F))
4.6b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Compiler

Compiled 29 to 7 computations (75.9% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite128.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1276×associate-*l/
1204×associate-/r*
1082×*-commutative
954×associate-/l*
516×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01067
121667
2307867
Stop Event
node limit
Counts
3 → 195
Calls
Call 1
Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (PI.f64) (*.f64 F F))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 l (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 2) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 l (PI.f64))) (*.f64 1 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l (PI.f64)) 1) (*.f64 (*.f64 l (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) 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simplify149.0ms (1.1%)

Algorithm
egg-herbie
Rules
1072×associate-+r+
1062×associate-+l+
714×+-commutative
670×associate-*r*
642×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046212645
1130811743
2677911743
Stop Event
node limit
Counts
243 → 274
Calls
Call 1
Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) (pow.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)) 3)) (*.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (pow.f64 F 4) (PI.f64)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)) (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (neg.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))) 1) (-.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 3)) 1) (+.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) 1) (neg.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) 1) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)) (cbrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (pow.f64 F 4) (PI.f64)))) (/.f64 1 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) (+.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)) (pow.f64 (PI.f64) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) (pow.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)) 3)) (/.f64 1 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) (/.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (pow.f64 F 4) (PI.f64)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)) (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) (/.f64 1 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))) (+.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) 3)) (/.f64 1 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) 1) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (*.f64 (cbrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) (cbrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) 1) (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 1)
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) 3)
(pow.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 2))
(log.f64 (exp.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
(expm1.f64 (log1p.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(exp.f64 (log.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(log1p.f64 (expm1.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(fma.f64 1 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (PI.f64) (pow.f64 F -2))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 (pow.f64 F -2) (neg.f64 (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) 1) (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) 1) (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) (*.f64 (pow.f64 F -2) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (pow.f64 F -2) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) 1) (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) (*.f64 (pow.f64 F -2) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (pow.f64 F -2) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) 1) (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) (*.f64 (pow.f64 F -2) (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (*.f64 (PI.f64) (+.f64 (PI.f64) (*.f64 (pow.f64 F -2) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))))))
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 1)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (cbrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) 3)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(pow.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3) 1/3)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(sqrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 2))
(fabs.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))
(log.f64 (exp.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(expm1.f64 (log1p.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(exp.f64 (log.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(log1p.f64 (expm1.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(fma.f64 1 (PI.f64) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))
0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.3b
(*.f64 (PI.f64) l)
31.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 46 to 16 computations (65.2% saved)

series12.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
9.0ms
l
@0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms
F
@inf
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms
l
@-inf
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms
l
@inf
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.0ms
l
@0
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))

rewrite98.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1406×associate-/r*
1254×associate-/l*
852×swap-sqr
474×associate-/l/
330×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
126544
2331744
Stop Event
node limit
Counts
2 → 178
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -1/2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 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((#(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)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F (neg.f64 F)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F (neg.f64 F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 F (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 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((x /.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (cbrt.f64 (neg.f64 F)) (cbrt.f64 (neg.f64 F)))) (cbrt.f64 (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (sqrt.f64 F))) (sqrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 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 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)))) (#(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 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))))) (#(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 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (/.f64 1 (pow.f64 F 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1 (pow.f64 F 3)) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (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 log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))

simplify152.0ms (1.1%)

Algorithm
egg-herbie
Rules
814×distribute-lft-in
808×distribute-rgt-in
764×associate-/l*
736×associate-/r*
624×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05349262
114508932
257538932
Stop Event
node limit
Counts
226 → 278
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) F)
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 1)
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)
(*.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F)))
(*.f64 (pow.f64 F -1/2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F)))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 -1 F))
(*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -1/2)) (pow.f64 F -1/2))
(*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F -2))) (/.f64 1 (cbrt.f64 F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)) (pow.f64 F -1/2))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 1 (cbrt.f64 F)))
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(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 (cbrt.f64 F) 2) F)) (sqrt.f64 (cbrt.f64 F))) (sqrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 (cbrt.f64 F) 2) F)) (cbrt.f64 (sqrt.f64 F))) (cbrt.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 (cbrt.f64 F) 2) F)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 (cbrt.f64 F) 2) F)) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (cbrt.f64 F)))) (cbrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1) (neg.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (sqrt.f64 F)) (neg.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (pow.f64 (cbrt.f64 F) 2)) (neg.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) -1) F)
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (sqrt.f64 (neg.f64 F))) (sqrt.f64 (neg.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (cbrt.f64 (neg.f64 F)) (cbrt.f64 (neg.f64 F)))) (cbrt.f64 (neg.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 1 F)))
(neg.f64 (*.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 F 3)) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))
(fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (*.f64 (/.f64 l F) (PI.f64)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 l (/.f64 F (PI.f64))) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3))))
(fma.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 F 1/120)) (fma.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 2)) 1/3)) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (*.f64 (/.f64 l F) (PI.f64))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (*.f64 l (PI.f64)) F) (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 l (/.f64 F (PI.f64))) (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 4))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 F (pow.f64 (PI.f64) 2))))))) (pow.f64 l 7)))))
(+.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 F 1/120)) (fma.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 2)) 1/3)) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (*.f64 (/.f64 l F) (PI.f64)))) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 4)) 1/3)) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 1/3))) F) (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720)))) (pow.f64 l 7)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 1/3) (*.f64 F F)))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
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(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (sqrt.f64 F) F)) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2))) (sqrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (sqrt.f64 F))) (sqrt.f64 (pow.f64 (cbrt.f64 F) 2))) (sqrt.f64 (cbrt.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 (fabs.f64 (cbrt.f64 F)) (sqrt.f64 (cbrt.f64 F))) (*.f64 F (sqrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 (cbrt.f64 F) 2) F)) 1) (cbrt.f64 F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 (cbrt.f64 F) 2) F)) (sqrt.f64 (cbrt.f64 F))) (sqrt.f64 (cbrt.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 (cbrt.f64 F) 2) F)) (cbrt.f64 (sqrt.f64 F))) (cbrt.f64 (sqrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (pow.f64 (cbrt.f64 F) 2))) (*.f64 (cbrt.f64 (sqrt.f64 F)) (cbrt.f64 (sqrt.f64 F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 F)) (cbrt.f64 (sqrt.f64 F))) (*.f64 F (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 (cbrt.f64 F) 2) F)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 (cbrt.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (pow.f64 (cbrt.f64 F) 2))) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (pow.f64 (cbrt.f64 F) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (cbrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (pow.f64 (cbrt.f64 F) 2) F)) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (cbrt.f64 F)))) (cbrt.f64 (cbrt.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) 1) (neg.f64 F))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (sqrt.f64 F)) (neg.f64 (sqrt.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 F) (*.f64 F (sqrt.f64 F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (sqrt.f64 F) (sqrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (pow.f64 (cbrt.f64 F) 2)) (neg.f64 (cbrt.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) -1) F)
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (sqrt.f64 (neg.f64 F))) (sqrt.f64 (neg.f64 F)))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (cbrt.f64 (neg.f64 F)) (cbrt.f64 (neg.f64 F)))) (cbrt.f64 (neg.f64 F)))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (sqrt.f64 F))) (sqrt.f64 F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 F) (*.f64 F (sqrt.f64 F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (sqrt.f64 F) (sqrt.f64 F))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F (cbrt.f64 F)) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 F) 2))))
(pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 1 F)))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (*.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) 2))
(fabs.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) (pow.f64 F 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 F 3)) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) (pow.f64 F 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) (/.f64 1 (pow.f64 F 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) 3) (pow.f64 F 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
0.3b
(*.f64 (PI.f64) l)
4.5b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
31.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 49 to 14 computations (71.4% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite67.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1576×add-sqr-sqrt
1558×*-un-lft-identity
1442×add-cube-cbrt
1424×add-cbrt-cube
1408×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
12009
220269
Stop Event
node limit
Counts
1 → 29
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) l) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/4) (sqrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 1/4)) (pow.f64 (*.f64 (PI.f64) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (PI.f64))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))))

simplify59.0ms (0.4%)

Algorithm
egg-herbie
Rules
1076×distribute-lft-out
898×distribute-rgt-in
886×distribute-lft-in
658×associate-*r*
588×count-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073673
1163511
2379349
31736349
45641349
Stop Event
node limit
Counts
29 → 33
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) l) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l)))
(*.f64 1 (*.f64 (PI.f64) l))
(*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/4) (sqrt.f64 (*.f64 (PI.f64) l))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (*.f64 (PI.f64) l))))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (*.f64 (PI.f64) l))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 1/4)) (pow.f64 (*.f64 (PI.f64) l) 1/4))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (PI.f64))) (sqrt.f64 l))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
Outputs
(-.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) l)
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 l (PI.f64))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (*.f64 (PI.f64) l) 1)
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l)))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 1 (*.f64 (PI.f64) l))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/4) (sqrt.f64 (*.f64 (PI.f64) l))))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (*.f64 (PI.f64) l))))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (*.f64 (PI.f64) l))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 1/4)) (pow.f64 (*.f64 (PI.f64) l) 1/4))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (PI.f64))) (sqrt.f64 l))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l)))))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(exp.f64 (log.f64 (*.f64 (PI.f64) l)))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) l)) 1))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))
(+.f64 (+.f64 1 (*.f64 (PI.f64) l)) -1)
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 (PI.f64) l)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (PI.f64) l)
0.5b
(cbrt.f64 F)
0.5b
(pow.f64 (cbrt.f64 F) 2)
31.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 68 to 22 computations (67.6% saved)

series2.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite74.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1116×add-sqr-sqrt
1096×*-un-lft-identity
1034×pow1
1022×add-cube-cbrt
1010×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
113816
2149316
Stop Event
node limit
Counts
2 → 36
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 F) 2)
(cbrt.f64 F)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F 1/6) (*.f64 (pow.f64 F 1/6) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (pow.f64 F 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (*.f64 F (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2)) (cbrt.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 F (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 F) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F 1/6) (pow.f64 F 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 F)) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 F) 1/3) (pow.f64 (sqrt.f64 F) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 F) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 F 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 F)))))))

simplify51.0ms (0.4%)

Algorithm
egg-herbie
Rules
1494×associate-/l*
1106×associate-*r*
1002×*-commutative
860×associate-*l*
610×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072738
1135558
2563380
33115374
46334374
Stop Event
node limit
Counts
36 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
(*.f64 (cbrt.f64 F) (cbrt.f64 F))
(*.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 F) 2))
(*.f64 (pow.f64 F 1/6) (*.f64 (pow.f64 F 1/6) (cbrt.f64 F)))
(*.f64 (sqrt.f64 F) (pow.f64 F 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 F)))
(*.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2))
(*.f64 (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2)) (cbrt.f64 (cbrt.f64 F)))
(sqrt.f64 (*.f64 F (cbrt.f64 F)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))
(cbrt.f64 (*.f64 F F))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 F))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 F) 2)))
(-.f64 (+.f64 1 (cbrt.f64 F)) 1)
(*.f64 (cbrt.f64 F) 1)
(*.f64 1 (cbrt.f64 F))
(*.f64 (pow.f64 F 1/6) (pow.f64 F 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 F)) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (cbrt.f64 F)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 F))
(*.f64 (pow.f64 (sqrt.f64 F) 1/3) (pow.f64 (sqrt.f64 F) 1/3))
(pow.f64 F 1/3)
(pow.f64 (cbrt.f64 F) 1)
(pow.f64 (pow.f64 (cbrt.f64 F) 2) 1/2)
(pow.f64 (pow.f64 F 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 F)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 F) 2))
(fabs.f64 (cbrt.f64 F))
(log.f64 (exp.f64 (cbrt.f64 F)))
(expm1.f64 (log1p.f64 (cbrt.f64 F)))
(exp.f64 (log.f64 (cbrt.f64 F)))
(log1p.f64 (expm1.f64 (cbrt.f64 F)))
Outputs
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (cbrt.f64 F) (cbrt.f64 F))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 1 (pow.f64 (cbrt.f64 F) 2))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (pow.f64 F 1/6) (*.f64 (pow.f64 F 1/6) (cbrt.f64 F)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (sqrt.f64 F) (pow.f64 F 1/6))
(*.f64 (pow.f64 F 1/6) (sqrt.f64 F))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 F)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2)) (cbrt.f64 (cbrt.f64 F)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(sqrt.f64 (*.f64 F (cbrt.f64 F)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(cbrt.f64 (*.f64 F F))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 F))))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 F) 2)))
(+.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) -1)
(+.f64 (pow.f64 (cbrt.f64 F) 2) 0)
(pow.f64 (cbrt.f64 F) 2)
(-.f64 (+.f64 1 (cbrt.f64 F)) 1)
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(*.f64 (cbrt.f64 F) 1)
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(*.f64 1 (cbrt.f64 F))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(*.f64 (pow.f64 F 1/6) (pow.f64 F 1/6))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(*.f64 (cbrt.f64 (cbrt.f64 F)) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (cbrt.f64 F)))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F)))) (fabs.f64 (cbrt.f64 (cbrt.f64 F))))
(*.f64 (cbrt.f64 (cbrt.f64 F)) (sqrt.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 F))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(*.f64 (pow.f64 (sqrt.f64 F) 1/3) (pow.f64 (sqrt.f64 F) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 F)) (cbrt.f64 (sqrt.f64 F)))
(pow.f64 (pow.f64 (sqrt.f64 F) 1/6) 4)
(pow.f64 F 1/3)
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(pow.f64 (cbrt.f64 F) 1)
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(pow.f64 (pow.f64 (cbrt.f64 F) 2) 1/2)
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(pow.f64 (pow.f64 F 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(pow.f64 (cbrt.f64 (cbrt.f64 F)) 3)
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(sqrt.f64 (pow.f64 (cbrt.f64 F) 2))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(fabs.f64 (cbrt.f64 F))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(log.f64 (exp.f64 (cbrt.f64 F)))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(expm1.f64 (log1p.f64 (cbrt.f64 F)))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(exp.f64 (log.f64 (cbrt.f64 F)))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)
(log1p.f64 (expm1.f64 (cbrt.f64 F)))
(+.f64 1 (-.f64 (cbrt.f64 F) 1))
(+.f64 (cbrt.f64 F) 0)
(cbrt.f64 F)

eval445.0ms (3.4%)

Compiler

Compiled 26210 to 11955 computations (54.4% saved)

prune314.0ms (2.4%)

Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1023261049
Fresh14721
Picked101
Done134
Total1039361075
Error
0.3b
Counts
1075 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
38.6b
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
13.5b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
25.5b
(/.f64 (/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
26.0b
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
29.6b
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (*.f64 l (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
55.6b
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
22.6b
(/.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
17.5b
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
27.3b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
40.6b
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
17.8b
(-.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
40.5b
(-.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
28.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)) (cbrt.f64 F)))
28.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) (cbrt.f64 F)))
17.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 (*.f64 F F))) (cbrt.f64 F)))
24.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F)))
12.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
12.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
17.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 F) 2) 3)))
28.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
24.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
21.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F)))
17.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
17.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
12.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
17.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
55.9b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
22.5b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
55.9b
(*.f64 l (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
28.0b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
12.6b
(*.f64 l (PI.f64))
55.5b
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
55.6b
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
31.6b
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
45.1b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
49.8b
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3) (pow.f64 l 3)))
Compiler

Compiled 1136 to 771 computations (32.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.3b
(*.f64 (PI.f64) l)
31.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 38 to 8 computations (78.9% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite63.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1752×associate-*r/
1620×associate-/r*
1532×associate-*l/
1414×associate-/l*
236×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
122725
2299725
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)) (/.f64 (/.f64 1 F) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (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 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(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 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))))

simplify80.0ms (0.6%)

Algorithm
egg-herbie
Rules
1044×associate-/l*
938×times-frac
912×associate-*r/
602×associate-/r*
586×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01682560
14582442
217552406
372072406
Stop Event
node limit
Counts
60 → 62
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) 1)
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)
(*.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))
(*.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 -1 F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)) (/.f64 (/.f64 1 F) (sqrt.f64 F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))
(*.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 F)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3)
(pow.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1)
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(fma.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F)) 1/3)))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l))))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/2) -1/3))) (*.f64 F F)) (pow.f64 l 5) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2))) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
(fma.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F)) 1/3)))) (pow.f64 l 5) (fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))))) F)) (/.f64 (*.f64 1/24 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 4)))) (*.f64 F F)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (pow.f64 (PI.f64) 4)) -1/24)) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/2) -1/3))) (*.f64 F F))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/2) -1/3))) (*.f64 F F)) (pow.f64 l 5) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) 1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 -1 F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)) (/.f64 (/.f64 1 F) (sqrt.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))
(*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 1 (*.f64 (cbrt.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 F (cbrt.f64 F))))
(*.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F)))
(*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 1 (*.f64 (cbrt.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 F (cbrt.f64 F))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F)))
(*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 1 (*.f64 (cbrt.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 F) 2))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 F (cbrt.f64 F))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) 2) (pow.f64 (cbrt.f64 F) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) 2) (/.f64 (pow.f64 (cbrt.f64 F) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 3)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(pow.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 2))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 1))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))

localize35.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 l (PI.f64))
2.8b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
Compiler

Compiled 20 to 11 computations (45% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite60.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1880×add-sqr-sqrt
1864×*-un-lft-identity
1740×add-cube-cbrt
1726×add-cbrt-cube
196×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11939
225919
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 l (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l (PI.f64) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l (PI.f64) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 l (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 l (PI.f64)) 2) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (+.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (-.f64 (fma.f64 l (PI.f64) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (-.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 1 (fma.f64 l (PI.f64) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1)) (fma.f64 l (PI.f64) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 l (PI.f64) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (sqrt.f64 (fma.f64 l (PI.f64) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) 1)) 2) (cbrt.f64 (fma.f64 l (PI.f64) 1)) -1)))))

simplify59.0ms (0.4%)

Algorithm
egg-herbie
Rules
1008×associate-+r-
1006×associate--l+
972×associate-/r*
838×associate-+l-
760×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01211133
12861063
210421055
345911055
Stop Event
node limit
Counts
61 → 58
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(+.f64 1 (fma.f64 l (PI.f64) -1))
(+.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) 1))
(+.f64 (*.f64 l (PI.f64)) 0)
(+.f64 (fma.f64 l (PI.f64) 1) -1)
(+.f64 (fma.f64 l (PI.f64) -1) 1)
(+.f64 -1 (fma.f64 l (PI.f64) 1))
(*.f64 1 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (*.f64 l (PI.f64)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 l (PI.f64)) 2) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (+.f64 (*.f64 l (PI.f64)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (-.f64 (fma.f64 l (PI.f64) 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (-.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1)) (fma.f64 l (PI.f64) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 l (PI.f64)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))
(pow.f64 (*.f64 l (PI.f64)) 1)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(fma.f64 1 (fma.f64 l (PI.f64) 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (sqrt.f64 (fma.f64 l (PI.f64) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) 1)) 2) (cbrt.f64 (fma.f64 l (PI.f64) 1)) -1)
Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(+.f64 1 (fma.f64 l (PI.f64) -1))
(*.f64 l (PI.f64))
(+.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) 1))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(+.f64 (fma.f64 l (PI.f64) 1) -1)
(*.f64 l (PI.f64))
(+.f64 (fma.f64 l (PI.f64) -1) 1)
(*.f64 l (PI.f64))
(+.f64 -1 (fma.f64 l (PI.f64) 1))
(*.f64 l (PI.f64))
(*.f64 1 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(*.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 l (PI.f64))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1))
(*.f64 l (PI.f64))
(/.f64 1 (/.f64 (+.f64 (*.f64 l (PI.f64)) 2) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (+.f64 (*.f64 l (PI.f64)) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (-.f64 (fma.f64 l (PI.f64) 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (-.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 1 (fma.f64 l (PI.f64) -1)))
(/.f64 (-.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 2 (*.f64 l (PI.f64))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1)) (fma.f64 l (PI.f64) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (-.f64 (fma.f64 l (PI.f64) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (fma.f64 (fma.f64 l (PI.f64) -1) (+.f64 (*.f64 l (PI.f64)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 l (PI.f64)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (/.f64 1 (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 2)) (fma.f64 l (PI.f64) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 l (PI.f64) (+.f64 2 (pow.f64 (fma.f64 l (PI.f64) 1) 2))))
(pow.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(*.f64 l (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(*.f64 l (PI.f64))
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(*.f64 l (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 l (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(fma.f64 1 (fma.f64 l (PI.f64) 1) -1)
(*.f64 l (PI.f64))
(fma.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) (sqrt.f64 (fma.f64 l (PI.f64) 1)) -1)
(*.f64 l (PI.f64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 l (PI.f64) 1)) 2) (cbrt.f64 (fma.f64 l (PI.f64) 1)) -1)
(*.f64 l (PI.f64))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 l (PI.f64))
1.6b
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
Compiler

Compiled 16 to 6 computations (62.5% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
l
@0
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
0.0ms
l
@-inf
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
0.0ms
l
@inf
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))

rewrite56.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1432×add-sqr-sqrt
1420×*-un-lft-identity
1308×add-cube-cbrt
1288×add-cbrt-cube
1272×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
11739
218059
Stop Event
node limit
Counts
1 → 29
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 l (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 l (PI.f64)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (*.f64 l (PI.f64)) 1) (+.f64 (*.f64 l (PI.f64)) 1)) 1) (+.f64 (+.f64 (*.f64 l (PI.f64)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 l (PI.f64)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 l (PI.f64)) 1) (+.f64 (*.f64 l (PI.f64)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 l (PI.f64)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))))

simplify54.0ms (0.4%)

Algorithm
egg-herbie
Rules
1384×associate-*r/
1056×times-frac
894×associate-*l/
770×associate-/r*
674×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073431
1189427
2727421
33015421
Stop Event
node limit
Counts
41 → 32
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(+.f64 (+.f64 (*.f64 l (PI.f64)) 1) -1)
(-.f64 (+.f64 (*.f64 l (PI.f64)) 1) 1)
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (*.f64 l (PI.f64)) 1)
(*.f64 1 (*.f64 l (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 l (PI.f64)) 1) (+.f64 (*.f64 l (PI.f64)) 1)) 1) (+.f64 (+.f64 (*.f64 l (PI.f64)) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 l (PI.f64)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 l (PI.f64)) 1) (+.f64 (*.f64 l (PI.f64)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 l (PI.f64)) 1) 1))))
(pow.f64 (*.f64 l (PI.f64)) 1)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(+.f64 (+.f64 (*.f64 l (PI.f64)) 1) -1)
(*.f64 l (PI.f64))
(-.f64 (+.f64 (*.f64 l (PI.f64)) 1) 1)
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(*.f64 1 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 l (PI.f64))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 l (PI.f64)) 1) (+.f64 (*.f64 l (PI.f64)) 1)) 1) (+.f64 (+.f64 (*.f64 l (PI.f64)) 1) 1))
(*.f64 l (PI.f64))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 l (PI.f64)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 l (PI.f64)) 1) (+.f64 (*.f64 l (PI.f64)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 l (PI.f64)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (fma.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 1) (+.f64 (*.f64 l (PI.f64)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (fma.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 l (PI.f64) 1) 3)) (+.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) (fma.f64 l (PI.f64) 2))))
(pow.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(*.f64 l (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(*.f64 l (PI.f64))
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(*.f64 l (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)
4.5b
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F))
16.5b
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))
31.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 55 to 21 computations (61.8% saved)

series8.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
l
@-inf
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)
2.0ms
l
@0
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)
1.0ms
l
@inf
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)
0.0ms
l
@0
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F))
0.0ms
l
@0
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))

rewrite81.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1238×associate-*r/
1048×associate-/r*
1022×associate-*l/
918×associate-/l*
276×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01457
129257
2343357
Stop Event
node limit
Counts
3 → 146
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)
Outputs
((#(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 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (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 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1/3))))) (#(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 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1/3) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3/2) 1/3) (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 1 (cbrt.f64 (tan.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 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (sin.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))))))) 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simplify139.0ms (1%)

Algorithm
egg-herbie
Rules
834×associate-+r+
782×associate-+l+
720×associate-*r*
648×associate-/l*
638×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04288870
110878544
252908454
Stop Event
node limit
Counts
194 → 221
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 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
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(*.f64 1 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))
(*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3/2) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))
(*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 3) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))
(/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 3))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 1 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 3)) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 3))
(/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1) 1) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 3) 1) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 3) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 3) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 3) 1) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 3))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) (tan.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(exp.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
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))))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (pow.f64 (PI.f64) 2) -1/2))) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 3)))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) -1/3))) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 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)))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (pow.f64 (PI.f64) 7) (*.f64 (*.f64 -1/2 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (pow.f64 (PI.f64) 2) -1/2)))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (pow.f64 (PI.f64) 2) -1/2))) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 3))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (*.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 3)) -1/3))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/2 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) -1/3))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) -1/3))) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 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 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F)) 1/3)))) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))))
(fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F)) 1/3)) 1/2)) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))))
(+.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)))))
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(*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 3) (tan.f64 (*.f64 (PI.f64) l)))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 3))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 3))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))) (/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (tan.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (/.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 1 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 3)) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 3))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 3))
(/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1) 1) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (cos.f64 (*.f64 l (PI.f64))))) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 3)))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2)) (/.f64 (cbrt.f64 (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2) (/.f64 (/.f64 (cbrt.f64 (cos.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64))))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 3) 1) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 3) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 3) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) 1) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 3) 1) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 3))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 3))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 l (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (cos.f64 (*.f64 l (PI.f64))))) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 3)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))) (/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (tan.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (/.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) (tan.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) 1) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) 1) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 6))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 6))
(log.f64 (exp.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) 3))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(exp.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) 1))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 F)
0.5b
(pow.f64 (cbrt.f64 F) 2)
4.4b
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
31.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 95 to 45 computations (52.6% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
F
@-inf
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
0.0ms
F
@0
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
0.0ms
F
@inf
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)

rewrite62.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1856×add-sqr-sqrt
1828×*-un-lft-identity
1722×add-cube-cbrt
1710×add-cbrt-cube
200×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121411
2270911
Stop Event
node limit
Counts
1 → 44
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (pow.f64 F 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F 1/6) (*.f64 (pow.f64 F 1/6) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (*.f64 F (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1) (/.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2)) (cbrt.f64 (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (cbrt.f64 F)) 1) (-.f64 (hypot.f64 1 (cbrt.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cbrt.f64 (*.f64 F F)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1) (-.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (-.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) (+.f64 (cbrt.f64 (*.f64 F F)) -1))) (-.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) (+.f64 (cbrt.f64 (*.f64 F F)) -1)) (+.f64 (cbrt.f64 (*.f64 F F)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1)) (neg.f64 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F F) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 F (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 F F))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (cbrt.f64 F)) (hypot.f64 1 (cbrt.f64 F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (*.f64 F F)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (*.f64 F F)))) -1)))))

simplify61.0ms (0.5%)

Algorithm
egg-herbie
Rules
1232×associate-/l*
1026×distribute-lft-out
778×associate-/r*
624×fma-def
608×distribute-rgt-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01071350
12531248
28681232
342201196
Stop Event
node limit
Counts
44 → 56
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) -1))
(+.f64 1 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 1))
(+.f64 (cbrt.f64 (*.f64 F F)) 0)
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1)
(+.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 1)
(+.f64 -1 (+.f64 1 (cbrt.f64 (*.f64 F F))))
(*.f64 1 (cbrt.f64 (*.f64 F F)))
(*.f64 (cbrt.f64 F) (cbrt.f64 F))
(*.f64 (cbrt.f64 (*.f64 F F)) 1)
(*.f64 (sqrt.f64 F) (pow.f64 F 1/6))
(*.f64 (pow.f64 F 1/6) (*.f64 (pow.f64 F 1/6) (cbrt.f64 F)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 F)))
(*.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1) (/.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(*.f64 (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2)) (cbrt.f64 (cbrt.f64 F)))
(*.f64 (+.f64 (hypot.f64 1 (cbrt.f64 F)) 1) (-.f64 (hypot.f64 1 (cbrt.f64 F)) 1))
(/.f64 1 (/.f64 (+.f64 (cbrt.f64 (*.f64 F F)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1) (+.f64 (cbrt.f64 (*.f64 F F)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1) (-.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (-.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) (+.f64 (cbrt.f64 (*.f64 F F)) -1))) (-.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) (+.f64 (cbrt.f64 (*.f64 F F)) -1)) (+.f64 (cbrt.f64 (*.f64 F F)) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1)) (neg.f64 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(pow.f64 F 2/3)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (cbrt.f64 (*.f64 F F)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) 3)
(pow.f64 (*.f64 F F) 1/3)
(sqrt.f64 (*.f64 F (cbrt.f64 F)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 F F)))))
(cbrt.f64 (*.f64 F F))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 F F))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 F F))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 F F))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 F F))))
(fma.f64 1 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1)
(fma.f64 (hypot.f64 1 (cbrt.f64 F)) (hypot.f64 1 (cbrt.f64 F)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (*.f64 F F)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (*.f64 F F)))) -1)
Outputs
(+.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) -1))
(cbrt.f64 (*.f64 F F))
(+.f64 1 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 1))
(cbrt.f64 (*.f64 F F))
(+.f64 (cbrt.f64 (*.f64 F F)) 0)
(cbrt.f64 (*.f64 F F))
(+.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1)
(cbrt.f64 (*.f64 F F))
(+.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 1)
(cbrt.f64 (*.f64 F F))
(+.f64 -1 (+.f64 1 (cbrt.f64 (*.f64 F F))))
(cbrt.f64 (*.f64 F F))
(*.f64 1 (cbrt.f64 (*.f64 F F)))
(cbrt.f64 (*.f64 F F))
(*.f64 (cbrt.f64 F) (cbrt.f64 F))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (cbrt.f64 (*.f64 F F)) 1)
(cbrt.f64 (*.f64 F F))
(*.f64 (sqrt.f64 F) (pow.f64 F 1/6))
(*.f64 (pow.f64 F 1/6) (*.f64 (pow.f64 F 1/6) (cbrt.f64 F)))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 F)))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1) (/.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (/.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (+.f64 (cbrt.f64 (*.f64 F F)) 2))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 3 (*.f64 (cbrt.f64 (*.f64 F F)) (+.f64 (cbrt.f64 (*.f64 F F)) 3))))
(*.f64 (*.f64 (cbrt.f64 F) (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2)) (cbrt.f64 (cbrt.f64 F)))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (+.f64 (hypot.f64 1 (cbrt.f64 F)) 1) (-.f64 (hypot.f64 1 (cbrt.f64 F)) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (cbrt.f64 F))) (+.f64 (hypot.f64 1 (cbrt.f64 F)) -1))
(fma.f64 (hypot.f64 1 (cbrt.f64 F)) (hypot.f64 1 (cbrt.f64 F)) -1)
(/.f64 1 (/.f64 (+.f64 (cbrt.f64 (*.f64 F F)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (/.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (+.f64 (cbrt.f64 (*.f64 F F)) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 3 (*.f64 (cbrt.f64 (*.f64 F F)) (+.f64 (cbrt.f64 (*.f64 F F)) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1) (+.f64 (cbrt.f64 (*.f64 F F)) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (/.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (+.f64 (cbrt.f64 (*.f64 F F)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1) (-.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (/.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (+.f64 (cbrt.f64 (*.f64 F F)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 3 (*.f64 (cbrt.f64 (*.f64 F F)) (+.f64 (cbrt.f64 (*.f64 F F)) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (-.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 3 (*.f64 (cbrt.f64 (*.f64 F F)) (+.f64 (cbrt.f64 (*.f64 F F)) 3))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) (+.f64 (cbrt.f64 (*.f64 F F)) -1))) (-.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) (-.f64 1 (cbrt.f64 (*.f64 F F))))) (-.f64 2 (cbrt.f64 (*.f64 F F))))
(/.f64 (-.f64 0 (*.f64 (cbrt.f64 (*.f64 F F)) (+.f64 (cbrt.f64 (*.f64 F F)) -2))) (-.f64 2 (cbrt.f64 (*.f64 F F))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 F F)) (-.f64 2 (cbrt.f64 (*.f64 F F)))) (-.f64 2 (cbrt.f64 (*.f64 F F))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) (+.f64 (cbrt.f64 (*.f64 F F)) -1)) (+.f64 (cbrt.f64 (*.f64 F F)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) (-.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) 3)) (fma.f64 (+.f64 (cbrt.f64 (*.f64 F F)) -1) (+.f64 (cbrt.f64 (*.f64 F F)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1)) (neg.f64 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (/.f64 1 (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2)) (+.f64 (cbrt.f64 (*.f64 F F)) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) (+.f64 (cbrt.f64 (*.f64 F F)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) (+.f64 (cbrt.f64 (*.f64 F F)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 3 (*.f64 (cbrt.f64 (*.f64 F F)) (+.f64 (cbrt.f64 (*.f64 F F)) 3))))
(pow.f64 F 2/3)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (cbrt.f64 (*.f64 F F)) 1)
(cbrt.f64 (*.f64 F F))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 F)) 2) 3)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (*.f64 F F) 1/3)
(cbrt.f64 (*.f64 F F))
(sqrt.f64 (*.f64 F (cbrt.f64 F)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))
(cbrt.f64 (*.f64 F F))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 F F)))))
(cbrt.f64 (*.f64 F F))
(cbrt.f64 (*.f64 F F))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 F F))))
(cbrt.f64 (*.f64 F F))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 F F))))
(cbrt.f64 (*.f64 F F))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 F F))) 1))
(cbrt.f64 (*.f64 F F))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 F F))))
(cbrt.f64 (*.f64 F F))
(fma.f64 1 (+.f64 1 (cbrt.f64 (*.f64 F F))) -1)
(cbrt.f64 (*.f64 F F))
(fma.f64 (hypot.f64 1 (cbrt.f64 F)) (hypot.f64 1 (cbrt.f64 F)) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (cbrt.f64 F))) (+.f64 (hypot.f64 1 (cbrt.f64 F)) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (*.f64 F F)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (*.f64 F F)))) -1)
(cbrt.f64 (*.f64 F F))

eval314.0ms (2.4%)

Compiler

Compiled 22705 to 10237 computations (54.9% saved)

prune390.0ms (2.9%)

Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New84111852
Fresh52328
Picked101
Done167
Total84840888
Error
0.3b
Counts
888 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
38.6b
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
13.5b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
25.5b
(/.f64 (/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
26.0b
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
29.6b
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (*.f64 l (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
55.6b
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
22.6b
(/.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
52.0b
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))
17.5b
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
27.3b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
40.6b
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
17.3b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 3))
49.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 3 (*.f64 (cbrt.f64 (*.f64 F F)) (+.f64 (cbrt.f64 (*.f64 F F)) 3))))) (cbrt.f64 F)))
49.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 (/.f64 (+.f64 (cbrt.f64 (*.f64 F F)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1)))) (cbrt.f64 F)))
28.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (-.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 1)) (cbrt.f64 F)))
28.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))) (cbrt.f64 F)))
24.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F)))
12.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
12.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
17.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
28.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
24.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
17.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
17.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
12.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
17.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
13.6b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
13.4b
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
13.4b
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
38.6b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
55.9b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
22.5b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
55.9b
(*.f64 l (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
28.0b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
12.6b
(*.f64 l (PI.f64))
55.5b
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
55.6b
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
31.6b
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
45.1b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
49.8b
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3) (pow.f64 l 3)))
Compiler

Compiled 1270 to 861 computations (32.2% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (PI.f64) l)
0.5b
(*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
9.3b
(cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
31.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 121 to 23 computations (81% saved)

series17.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

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

rewrite103.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1072×*-commutative
802×unswap-sqr
742×associate-*r/
690×associate-/r*
658×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
124152
2297352
Stop Event
node limit
Counts
2 → 103
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) (pow.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 F))))) (#(struct:change #<rule 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simplify97.0ms (0.7%)

Algorithm
egg-herbie
Rules
1704×associate-/l*
1520×associate-/r*
768×unswap-sqr
750×associate-+r+
594×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02525133
15114951
216924951
372164951
Stop Event
node limit
Counts
119 → 166
Calls
Call 1
Inputs
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2)) (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2)) 1/3)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) 1)
(*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 1)
(*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 1 1/3))
(*.f64 1 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(*.f64 (cbrt.f64 F) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (cbrt.f64 F) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (cbrt.f64 F) (pow.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 4))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 F))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 F))
(*.f64 (pow.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1/3) (cbrt.f64 F))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 1/3))
(*.f64 (/.f64 (cbrt.f64 F) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))) (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))) (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6))))
(/.f64 1 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 1 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))
(/.f64 (cbrt.f64 F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (sqrt.f64 (cbrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (cbrt.f64 F))))
(/.f64 (cbrt.f64 (cbrt.f64 (*.f64 F F))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cbrt.f64 F))))
(/.f64 (cbrt.f64 (sqrt.f64 F)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 F))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (cbrt.f64 F))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (cbrt.f64 F))))
(/.f64 (cbrt.f64 (neg.f64 F)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (cbrt.f64 F)) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 1 (cbrt.f64 (neg.f64 F))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6) (sqrt.f64 (cbrt.f64 F))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) (cbrt.f64 (cbrt.f64 F))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (neg.f64 F))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (cbrt.f64 F))) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 F)) 1) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 F)) 1) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 F)) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6)) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 F)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (cbrt.f64 F) 1) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (cbrt.f64 F) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (cbrt.f64 F) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (cbrt.f64 F) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (cbrt.f64 F) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/3)
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) 3)
(neg.f64 (/.f64 (cbrt.f64 F) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))
(fabs.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))) 1)
(/.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))
(/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))
(/.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6) (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (cbrt.f64 F) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 F)))
(/.f64 (cbrt.f64 F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (cbrt.f64 (*.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 F F))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (sqrt.f64 (cbrt.f64 (*.f64 F F)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 F F))) (cbrt.f64 (cbrt.f64 (*.f64 F F)))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (cbrt.f64 (*.f64 F F)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) 1) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))
(/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (neg.f64 F))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cbrt.f64 F))) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 1 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cbrt.f64 F))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))) (cbrt.f64 (cbrt.f64 F))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 F)) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 F)) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 F)) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (sqrt.f64 F) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6)) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2/3)
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) 3)
(pow.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2) 1/3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))))
(cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))
Outputs
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
(cbrt.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))))
(cbrt.f64 (*.f64 (/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))) F))
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64)))) 1/3)
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(/.f64 (*.f64 (cbrt.f64 (neg.f64 F)) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) (/.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64))))) (cbrt.f64 (neg.f64 F))))
(*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) (/.f64 (cbrt.f64 (neg.f64 F)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 F)) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) (cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))) (cbrt.f64 F))
(/.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) (cbrt.f64 F)))
(*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) (/.f64 (cbrt.f64 F) (cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (cbrt.f64 (*.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 F)) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) (sqrt.f64 (cbrt.f64 F))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))))) (sqrt.f64 (cbrt.f64 F)))
(*.f64 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) (/.f64 (sqrt.f64 (cbrt.f64 F)) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))))))
(/.f64 (*.f64 (sqrt.f64 F) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6)) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) 1/6) (sqrt.f64 F)) (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 F) (sqrt.f64 (tan.f64 (*.f64 l (PI.f64))))) (pow.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) 1/6))
(*.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) 1/6) (/.f64 (sqrt.f64 F) (sqrt.f64 (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 F)) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1/6)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sqrt.f64 (neg.f64 F)) (/.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64))))) (pow.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))))) (pow.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) 1/6))
(*.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) 1/6) (/.f64 (sqrt.f64 (neg.f64 F)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))
(/.f64 (cbrt.f64 (*.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))
(/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))
(/.f64 (cbrt.f64 (*.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (cbrt.f64 (*.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (cbrt.f64 (*.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 l (PI.f64))))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2)))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 F F)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (cbrt.f64 (*.f64 F F)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 l (PI.f64)))) 2))
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2/3)
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2) 1)
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) 3)
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)
(pow.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 4))
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2))))
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)
(cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2))
(cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2/3))
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))
(pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 2)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (*.f64 F F) (PI.f64))
8.9b
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
Compiler

Compiled 28 to 7 computations (75% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite95.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1428×associate-*l/
1010×*-commutative
710×unswap-sqr
656×associate-/r/
632×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
119236
2276836
Stop Event
node limit
Counts
2 → 189
Calls
Call 1
Inputs
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 F F) (PI.f64))
Outputs
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(PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 F (/.f64 F (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 F (/.f64 F (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 F (/.f64 F (PI.f64)))))))))

simplify100.0ms (0.8%)

Algorithm
egg-herbie
Rules
806×distribute-rgt-in
786×distribute-lft-in
772×distribute-lft-neg-in
688×associate-*r/
682×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04215473
112435243
248715243
Stop Event
node limit
Counts
225 → 229
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (pow.f64 F 2) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))) 1)
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(*.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 1)
(*.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 2))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (/.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 2) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (/.f64 l F) F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(*.f64 (/.f64 (/.f64 l F) F) (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 l 1))
(*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F (neg.f64 F))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 l F) F)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (/.f64 l F) F)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 l) (/.f64 (PI.f64) (*.f64 F F))) (sqrt.f64 l))
(*.f64 (*.f64 (cbrt.f64 l) (/.f64 (PI.f64) (*.f64 F F))) (pow.f64 (cbrt.f64 l) 2))
(*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64)))
(*.f64 (/.f64 1 (*.f64 F F)) (*.f64 (/.f64 l 1) (PI.f64)))
(*.f64 (*.f64 (/.f64 1 F) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 l F) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (/.f64 l (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 l 1) (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (/.f64 l (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (*.f64 (/.f64 l F) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 1 F) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 l 1) (PI.f64)) (/.f64 1 (*.f64 F F)))
(*.f64 (/.f64 l (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)))
(*.f64 (/.f64 1 F) (*.f64 l (/.f64 (PI.f64) F)))
(*.f64 (/.f64 1 (*.f64 F (neg.f64 F))) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (/.f64 l (*.f64 F (neg.f64 F))) (neg.f64 (PI.f64)))
(*.f64 (/.f64 l (pow.f64 (cbrt.f64 F) 2)) (/.f64 (PI.f64) (*.f64 F (cbrt.f64 F))))
(*.f64 (/.f64 (sqrt.f64 l) 1) (*.f64 (/.f64 (sqrt.f64 l) F) (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (sqrt.f64 l) (*.f64 F F)) (*.f64 (/.f64 (sqrt.f64 l) 1) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) 1) (*.f64 (/.f64 (cbrt.f64 l) F) (/.f64 (PI.f64) F)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 l) 1) (PI.f64)) (/.f64 (sqrt.f64 l) (*.f64 F F)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (/.f64 (PI.f64) F)) (sqrt.f64 l))
(*.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (/.f64 (PI.f64) F)) (/.f64 (sqrt.f64 l) 1))
(*.f64 (/.f64 (sqrt.f64 l) (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (/.f64 (sqrt.f64 l) (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 l) (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))) (/.f64 (sqrt.f64 l) (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 F F)) (*.f64 (/.f64 (cbrt.f64 l) 1) (PI.f64)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 l) 1) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 F F)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 l) F) (/.f64 (PI.f64) F)) (/.f64 (pow.f64 (cbrt.f64 l) 2) 1))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) F) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (cbrt.f64 l) F) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (cbrt.f64 l) F) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) F) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) (neg.f64 l))
(*.f64 (/.f64 l (sqrt.f64 F)) (/.f64 (PI.f64) (*.f64 F (sqrt.f64 F))))
(*.f64 (/.f64 l (/.f64 (*.f64 F F) 1)) (PI.f64))
(*.f64 (/.f64 l (/.f64 (*.f64 F F) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 l (/.f64 (*.f64 F F) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 l -1) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))
(*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) (neg.f64 F)))
(*.f64 (/.f64 1 (/.f64 (*.f64 F F) (*.f64 (sqrt.f64 l) (PI.f64)))) (sqrt.f64 l))
(*.f64 (/.f64 1 (/.f64 (*.f64 F (/.f64 F (PI.f64))) (pow.f64 (cbrt.f64 l) 2))) (cbrt.f64 l))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 F (/.f64 F (PI.f64)))) (cbrt.f64 l))
(*.f64 (/.f64 (/.f64 (/.f64 l F) F) 1) (PI.f64))
(*.f64 (/.f64 (/.f64 (/.f64 l F) F) 1) (/.f64 (PI.f64) 1))
(*.f64 (/.f64 (/.f64 (/.f64 l F) F) (/.f64 1 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 l F) F) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 (/.f64 l F) F) -1) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) -1) (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (/.f64 (neg.f64 l) (neg.f64 F)) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (neg.f64 l) (*.f64 F F)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 l 1) F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (/.f64 l 1) 1) (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (/.f64 (/.f64 l 1) (sqrt.f64 F)) (/.f64 (PI.f64) (*.f64 F (sqrt.f64 F))))
(*.f64 (/.f64 (/.f64 l 1) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (PI.f64) (*.f64 F (cbrt.f64 F))))
(*.f64 (/.f64 (/.f64 l 1) (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (/.f64 (/.f64 l 1) (*.f64 F (neg.f64 F))) (neg.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 l 1) (/.f64 (*.f64 F F) 1)) (PI.f64))
(*.f64 (/.f64 (/.f64 l 1) (/.f64 (*.f64 F F) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 l 1) (/.f64 (*.f64 F F) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 l 1) -1) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))
(*.f64 (/.f64 (/.f64 l 1) (neg.f64 F)) (/.f64 (PI.f64) (neg.f64 F)))
(*.f64 (/.f64 (*.f64 (/.f64 l F) (sqrt.f64 (PI.f64))) 1) (sqrt.f64 (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (/.f64 (*.f64 (/.f64 l F) (sqrt.f64 (PI.f64))) (sqrt.f64 F)) (sqrt.f64 (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (*.f64 (/.f64 l F) (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 F (neg.f64 F)))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 l (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) 1) (cbrt.f64 (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (/.f64 (/.f64 l (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 l (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (cbrt.f64 F)) (cbrt.f64 (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (/.f64 l (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (cbrt.f64 (*.f64 F (neg.f64 F)))) (cbrt.f64 (neg.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (PI.f64)) F)) (*.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 (PI.f64)) F)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 l) F)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 l) F)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 2))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 2)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (sqrt.f64 l)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (sqrt.f64 l)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (*.f64 l (PI.f64))) -1/2) (pow.f64 (/.f64 (*.f64 F F) (*.f64 l (PI.f64))) -1/2))
(pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 1)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 F F) (*.f64 l (PI.f64))) -1)
(neg.f64 (*.f64 (/.f64 (/.f64 l F) F) (neg.f64 (PI.f64))))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))))
(neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 l F) F) (neg.f64 (PI.f64))) 1))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (/.f64 l F) F) (neg.f64 (PI.f64)))))
(neg.f64 (/.f64 (neg.f64 l) (*.f64 F (/.f64 F (PI.f64)))))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 2))
(log.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 F (/.f64 F (PI.f64))))) 1)
(*.f64 F (*.f64 F (/.f64 1 (PI.f64))))
(*.f64 F (/.f64 F (PI.f64)))
(*.f64 (*.f64 F F) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 F F) (neg.f64 (/.f64 -1 (PI.f64))))
(*.f64 (*.f64 F (/.f64 F (PI.f64))) 1)
(*.f64 1 (*.f64 F (/.f64 F (PI.f64))))
(*.f64 (/.f64 F (sqrt.f64 (PI.f64))) (/.f64 F (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 F (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (neg.f64 F) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2))
(*.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) (/.f64 (cbrt.f64 (pow.f64 F 4)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2) (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))))))
(*.f64 (cbrt.f64 (pow.f64 F 4)) (*.f64 (pow.f64 (cbrt.f64 F) 2) (/.f64 1 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (*.f64 F F))
(*.f64 (*.f64 F (neg.f64 F)) (/.f64 -1 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F))) (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))) (neg.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))))
(*.f64 (*.f64 F (/.f64 1 (PI.f64))) F)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 F) 2) (/.f64 1 (PI.f64))) (cbrt.f64 (pow.f64 F 4)))
(*.f64 (/.f64 (*.f64 F F) (sqrt.f64 (PI.f64))) (/.f64 1 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 F F) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 F F) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 F (PI.f64)) F)
(*.f64 (/.f64 F (PI.f64)) (/.f64 F 1))
(*.f64 (/.f64 F (cbrt.f64 (PI.f64))) (/.f64 F (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (*.f64 F F) (cbrt.f64 (PI.f64))) (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 -1 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))
(*.f64 (/.f64 (neg.f64 F) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 F) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (neg.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))))
(*.f64 (/.f64 -1 (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 (/.f64 F 1) (/.f64 F (PI.f64)))
(*.f64 (/.f64 F (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 F (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 F 4)) 1) (/.f64 (pow.f64 (cbrt.f64 F) 2) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 F 4)) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 F 4)) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 F 4)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 F 4)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))))
(*.f64 (/.f64 F (neg.f64 (PI.f64))) (neg.f64 F))
(*.f64 (/.f64 F (/.f64 (PI.f64) 1)) F)
(*.f64 (/.f64 F (/.f64 (PI.f64) (sqrt.f64 F))) (sqrt.f64 F))
(*.f64 (/.f64 F (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2))) (cbrt.f64 F))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 F F))) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2))) (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 F 4)))) (pow.f64 (cbrt.f64 F) 2))
(*.f64 (/.f64 (sqrt.f64 F) (/.f64 (PI.f64) F)) (sqrt.f64 F))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (/.f64 (PI.f64) F)) (cbrt.f64 F))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 F 4)) (PI.f64)) (pow.f64 (cbrt.f64 F) 2))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))) (sqrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F))) (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F))))) (cbrt.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F))))
(*.f64 (neg.f64 (/.f64 (neg.f64 F) (sqrt.f64 (PI.f64)))) (/.f64 F (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2))) (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))) (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))) (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2))) (*.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))))) (*.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) -1/2) (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) -1/2))
(pow.f64 (*.f64 F (/.f64 F (PI.f64))) 1)
(pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (*.f64 F F)) -1)
(neg.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))
(neg.f64 (/.f64 F (/.f64 (PI.f64) (neg.f64 F))))
(neg.f64 (/.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)) 1))
(sqrt.f64 (/.f64 (pow.f64 F 4) (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (*.f64 F (/.f64 F (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 F (/.f64 F (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 F F) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 F (/.f64 F (PI.f64)))))
(exp.f64 (log.f64 (*.f64 F (/.f64 F (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 F (/.f64 F (PI.f64)))))
Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(/.f64 (pow.f64 F 2) (PI.f64))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))) 1)
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 1)
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 l) F) (sqrt.f64 (PI.f64))))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (/.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 F F) (PI.f64))) 2))
(*.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (/.f64 F (/.f64 (PI.f64) F))) 2)))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (/.f64 (cbrt.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) (pow.f64 (cbrt.f64 (/.f64 F (/.f64 (PI.f64) F))) 2)))
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(/.f64 (*.f64 F F) (PI.f64))
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 F F) (PI.f64))) 2)) (*.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 F F) (PI.f64))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 F (/.f64 (PI.f64) F))) 2) (*.f64 (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 F (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 3/2))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(*.f64 (pow.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3) 1/6))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(*.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) -1/2) (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) -1/2))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(pow.f64 (*.f64 F (/.f64 F (PI.f64))) 1)
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 3)
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(pow.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3) 1/3)
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(pow.f64 (/.f64 (PI.f64) (*.f64 F F)) -1)
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(neg.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(neg.f64 (/.f64 F (/.f64 (PI.f64) (neg.f64 F))))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(neg.f64 (/.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)) 1))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(sqrt.f64 (/.f64 (pow.f64 F 4) (pow.f64 (PI.f64) 2)))
(sqrt.f64 (pow.f64 (/.f64 F (/.f64 (PI.f64) F)) 2))
(log.f64 (exp.f64 (*.f64 F (/.f64 F (PI.f64)))))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 F (/.f64 F (PI.f64))))))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(cbrt.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 F F) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(expm1.f64 (log1p.f64 (*.f64 F (/.f64 F (PI.f64)))))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(exp.f64 (log.f64 (*.f64 F (/.f64 F (PI.f64)))))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))
(log1p.f64 (expm1.f64 (*.f64 F (/.f64 F (PI.f64)))))
(/.f64 (*.f64 F F) (PI.f64))
(/.f64 F (/.f64 (PI.f64) F))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (*.f64 l (PI.f64)) 3)
0.3b
(*.f64 l (PI.f64))
39.6b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite61.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1652×add-sqr-sqrt
1622×*-un-lft-identity
1522×add-cube-cbrt
1506×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
120524
2218624
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1/3) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 l (PI.f64)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 (PI.f64) (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 l (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) (pow.f64 (*.f64 l (PI.f64)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) l) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (PI.f64)) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (sqrt.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 3) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))))))

simplify65.0ms (0.5%)

Algorithm
egg-herbie
Rules
1282×unswap-sqr
1194×associate-+r+
1128×associate-+l+
756×associate-/l*
502×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301071
12861071
211361071
348291071
Stop Event
node limit
Counts
83 → 65
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64)))) 1)
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (*.f64 l (PI.f64)) 1)
(*.f64 1 (*.f64 l (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1/3) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 (pow.f64 1 1/3) (*.f64 l (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) 1/3))
(pow.f64 (*.f64 l (PI.f64)) 1)
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 l (PI.f64)) 3))) 1)
(*.f64 l (*.f64 (PI.f64) (pow.f64 (*.f64 l (PI.f64)) 2)))
(*.f64 (PI.f64) (*.f64 l (pow.f64 (*.f64 l (PI.f64)) 2)))
(*.f64 (*.f64 l (PI.f64)) (pow.f64 (*.f64 l (PI.f64)) 2))
(*.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1)
(*.f64 1 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) (pow.f64 (*.f64 l (PI.f64)) 3/2))
(*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))
(*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (*.f64 l (PI.f64)))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) l) (PI.f64))
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (PI.f64)) l)
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (*.f64 l (PI.f64)))
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (sqrt.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (*.f64 l (PI.f64))))
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 3) (*.f64 l (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 (*.f64 l (cbrt.f64 -1)) (PI.f64)))
(*.f64 l (neg.f64 (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (PI.f64) (*.f64 (cbrt.f64 -1) (neg.f64 l)))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 (*.f64 l (cbrt.f64 -1)) (PI.f64)))
(*.f64 l (neg.f64 (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (PI.f64) (*.f64 (cbrt.f64 -1) (neg.f64 l)))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 (*.f64 l (cbrt.f64 -1)) (PI.f64)))
(*.f64 l (neg.f64 (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (PI.f64) (*.f64 (cbrt.f64 -1) (neg.f64 l)))
(*.f64 -1 (*.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (*.f64 (*.f64 l (cbrt.f64 -1)) (PI.f64)))
(*.f64 l (neg.f64 (*.f64 (PI.f64) (cbrt.f64 -1))))
(*.f64 (PI.f64) (*.f64 (cbrt.f64 -1) (neg.f64 l)))
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64)))) 1)
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(*.f64 1 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))
(*.f64 l (PI.f64))
(*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1/3))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1/3) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 1 1/3) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2)))
(pow.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)
(*.f64 l (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(*.f64 l (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(*.f64 l (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))
(*.f64 l (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) l))
(*.f64 l (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(exp.f64 (log.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 l (PI.f64))) 1))
(*.f64 l (PI.f64))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))) 1/3))
(*.f64 l (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 l (PI.f64)) 3))) 1)
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 l (*.f64 (PI.f64) (pow.f64 (*.f64 l (PI.f64)) 2)))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (PI.f64) (*.f64 l (pow.f64 (*.f64 l (PI.f64)) 2)))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (*.f64 l (PI.f64)) (pow.f64 (*.f64 l (PI.f64)) 2))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1)
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 1 (pow.f64 (*.f64 l (PI.f64)) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) (pow.f64 (*.f64 l (PI.f64)) 3/2))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (*.f64 l (PI.f64)))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) l) (PI.f64))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (PI.f64)) l)
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (*.f64 l (PI.f64)))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (sqrt.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (*.f64 l (PI.f64))))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)) (cbrt.f64 (*.f64 l (PI.f64))))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 3) (*.f64 l (PI.f64)))
(pow.f64 (*.f64 l (PI.f64)) 3)
(sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 6))
(pow.f64 (*.f64 l (PI.f64)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))
(pow.f64 (*.f64 l (PI.f64)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))
(pow.f64 (*.f64 l (PI.f64)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 3))
(pow.f64 (*.f64 l (PI.f64)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))
(pow.f64 (*.f64 l (PI.f64)) 3)
(exp.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))))
(pow.f64 (*.f64 l (PI.f64)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))) 1))
(pow.f64 (*.f64 l (PI.f64)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))
(pow.f64 (*.f64 l (PI.f64)) 3)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (PI.f64) (pow.f64 F -2))
0.6b
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
4.6b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
12.3b
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
Compiler

Compiled 53 to 35 computations (34% saved)

series2.0ms (0%)

Counts
4 → 60
Calls

15 calls:

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

rewrite191.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
994×associate-*r/
896×distribute-rgt-in
848×distribute-lft-in
704×associate-*l/
310×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01596
132390
2378690
Stop Event
node limit
Counts
4 → 463
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
(*.f64 (PI.f64) (pow.f64 F -2))
Outputs
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simplify323.0ms (2.4%)

Algorithm
egg-herbie
Rules
896×*-commutative
780×associate-/r*
726×+-commutative
644×distribute-lft-in
608×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106139881
1291235453
Stop Event
node limit
Counts
523 → 669
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
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(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))) (cbrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))))) (cbrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2))) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2)) (+.f64 (pow.f64 F -2) 1)) (PI.f64))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2)) 1) (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2)) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1)))))) (sqrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))))))) (cbrt.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (*.f64 (PI.f64) (pow.f64 F -2)) (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))))))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) 1)
(/.f64 (*.f64 (/.f64 (PI.f64) F) 1) F)
(/.f64 (*.f64 1 (/.f64 (PI.f64) F)) F)
(pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 F -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
Outputs
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64))))
(*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(+.f64 (/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6)) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3)) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (+.f64 (+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3)) (/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6))) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))
(+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (+.f64 (+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3)) (/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6))) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))
(+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))))
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(/.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))) (/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))) (cbrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1)))) (*.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (pow.f64 (PI.f64) 2)))))
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(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))) 1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) 1)
(*.f64 (PI.f64) (pow.f64 F -2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) 1) F)
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (*.f64 1 (/.f64 (PI.f64) F)) F)
(/.f64 (PI.f64) (*.f64 F F))
(pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 1)
(*.f64 (PI.f64) (pow.f64 F -2))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 3)
(*.f64 (PI.f64) (pow.f64 F -2))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) 1/3)
(*.f64 (PI.f64) (pow.f64 F -2))
(sqrt.f64 (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2)))
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(*.f64 (PI.f64) (pow.f64 F -2))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))
(*.f64 (PI.f64) (pow.f64 F -2))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 (PI.f64) (pow.f64 F -2))
(exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 (PI.f64) (pow.f64 F -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 1))
(*.f64 (PI.f64) (pow.f64 F -2))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2))))
(*.f64 (PI.f64) (pow.f64 F -2))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 F)
5.4b
(log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))
31.9b
(tan.f64 (*.f64 (PI.f64) l))
32.4b
(cbrt.f64 (*.f64 F F))
Compiler

Compiled 87 to 14 computations (83.9% saved)

series1.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
F
@-inf
(cbrt.f64 (*.f64 F F))
0.0ms
F
@0
(cbrt.f64 (*.f64 F F))
0.0ms
F
@inf
(cbrt.f64 (*.f64 F F))
0.0ms
F
@-inf
(log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))
0.0ms
F
@0
(log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1122×add-sqr-sqrt
1104×*-un-lft-identity
1032×pow1
1026×add-cube-cbrt
1014×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
114522
2151322
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 F F))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 F (cbrt.f64 F)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F F) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 F) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 F (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 F) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 F) (cbrt.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 F (cbrt.f64 F)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F F) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 F) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 F (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 F) 2)))))))

simplify58.0ms (0.4%)

Algorithm
egg-herbie
Rules
1010×fma-def
904×*-commutative
654×associate-+r+
652×unswap-sqr
614×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050706
195650
2247650
3610650
42274650
57504650
Stop Event
node limit
Counts
42 → 24
Calls
Call 1
Inputs
(+.f64 0 (pow.f64 (cbrt.f64 F) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 F) 2))
(*.f64 (cbrt.f64 F) (cbrt.f64 F))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 F) 2))
(*.f64 (pow.f64 (*.f64 F (cbrt.f64 F)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 F 2/3)
(pow.f64 (*.f64 F F) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) 3)
(sqrt.f64 (*.f64 F (cbrt.f64 F)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 F) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 F) 2)))
(+.f64 0 (pow.f64 (cbrt.f64 F) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 F) 2))
(*.f64 (cbrt.f64 F) (cbrt.f64 F))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 F) 2))
(*.f64 (pow.f64 (*.f64 F (cbrt.f64 F)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 F 2/3)
(pow.f64 (*.f64 F F) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) 3)
(sqrt.f64 (*.f64 F (cbrt.f64 F)))
(cbrt.f64 (*.f64 F F))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 F) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 F) 2)))
Outputs
(+.f64 0 (pow.f64 (cbrt.f64 F) 2))
(pow.f64 (cbrt.f64 F) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(pow.f64 (cbrt.f64 F) 2)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 1 (pow.f64 (cbrt.f64 F) 2))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (cbrt.f64 F) (cbrt.f64 F))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 F) 2))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (pow.f64 (*.f64 F (cbrt.f64 F)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(pow.f64 F 2/3)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (*.f64 F F) 1/3)
(cbrt.f64 (*.f64 F F))
(pow.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) 3)
(pow.f64 (cbrt.f64 F) 2)
(sqrt.f64 (*.f64 F (cbrt.f64 F)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (cbrt.f64 F) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (cbrt.f64 F) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (cbrt.f64 F) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (cbrt.f64 F) 2)
(+.f64 0 (pow.f64 (cbrt.f64 F) 2))
(pow.f64 (cbrt.f64 F) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))))
(pow.f64 (cbrt.f64 F) 2)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(pow.f64 (cbrt.f64 F) 2)
(*.f64 1 (pow.f64 (cbrt.f64 F) 2))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (cbrt.f64 F) (cbrt.f64 F))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (cbrt.f64 (*.f64 F (cbrt.f64 F))) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 F) 2))
(pow.f64 (cbrt.f64 F) 2)
(*.f64 (pow.f64 (*.f64 F (cbrt.f64 F)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 F (cbrt.f64 F))))
(pow.f64 F 2/3)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (*.f64 F F) 1/3)
(cbrt.f64 (*.f64 F F))
(pow.f64 (pow.f64 (cbrt.f64 F) 2) 1)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (cbrt.f64 F) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) 2)) 3)
(pow.f64 (cbrt.f64 F) 2)
(sqrt.f64 (*.f64 F (cbrt.f64 F)))
(cbrt.f64 (*.f64 F F))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (cbrt.f64 F) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (cbrt.f64 F) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 F) 2)))
(pow.f64 (cbrt.f64 F) 2)

eval1.2s (9%)

Compiler

Compiled 54910 to 25143 computations (54.2% saved)

prune790.0ms (6%)

Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New1711151726
Fresh131629
Picked101
Done3710
Total1728381766
Error
0.2b
Counts
1766 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
38.6b
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
25.5b
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2))) l) (sqrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1)))) (sqrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))))
26.0b
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1)) l))
26.3b
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (pow.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))) l)))
22.6b
(/.f64 l (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))))
52.0b
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))
17.5b
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
27.3b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
17.3b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 3))
49.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 3 (*.f64 (cbrt.f64 (*.f64 F F)) (+.f64 (cbrt.f64 (*.f64 F F)) 3))))) (cbrt.f64 F)))
49.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 (/.f64 (+.f64 (cbrt.f64 (*.f64 F F)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1)))) (cbrt.f64 F)))
28.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (-.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 1)) (cbrt.f64 F)))
47.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (log.f64 (exp.f64 (pow.f64 F 2/3)))) (cbrt.f64 F)))
24.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F)))
12.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
13.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) 3)))
27.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
12.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
17.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
28.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
24.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
17.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
17.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
12.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
13.4b
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
38.6b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
55.9b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
22.5b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
12.9b
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
12.6b
(*.f64 l (PI.f64))
55.5b
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
55.6b
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
51.2b
(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
55.9b
(neg.f64 (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
51.2b
(neg.f64 (*.f64 (/.f64 1 F) (*.f64 l (/.f64 (PI.f64) F))))
58.6b
(neg.f64 (fabs.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
31.6b
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
45.2b
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))
Compiler

Compiled 655 to 447 computations (31.8% saved)

regimes824.0ms (6.2%)

Counts
80 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(neg.f64 (*.f64 (/.f64 1 F) (*.f64 l (/.f64 (PI.f64) F))))
(neg.f64 (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(neg.f64 (fabs.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(/.f64 l (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(/.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 3))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 1 (/.f64 1 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 (*.f64 F F))) (cbrt.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (cbrt.f64 F)))) (cbrt.f64 (*.f64 F (neg.f64 F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (-.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 1)) (cbrt.f64 F)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3) (pow.f64 l 3)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 F) 2) 3)))
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F)))
(-.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (-.f64 (+.f64 1 (pow.f64 (cbrt.f64 F) 2)) 1)) (cbrt.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (log.f64 (exp.f64 (pow.f64 F 2/3)))) (cbrt.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (log.f64 (exp.f64 (cbrt.f64 (*.f64 F F))))) (cbrt.f64 F)))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1)) l))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 (/.f64 (+.f64 (cbrt.f64 (*.f64 F F)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 2) -1)))) (cbrt.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) F) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 F) 2)))) (cbrt.f64 F)))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (*.f64 F F))) 3)) (+.f64 3 (*.f64 (cbrt.f64 (*.f64 F F)) (+.f64 (cbrt.f64 (*.f64 F F)) 3))))) (cbrt.f64 F)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) l)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 F -4)) 1) (pow.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))) l)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2))) l) (sqrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1)))) (sqrt.f64 (*.f64 (PI.f64) (+.f64 (pow.f64 F -2) 1))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 1 F) (*.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) 3)))
(/.f64 (/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))) (*.f64 l (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))) (sqrt.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 (pow.f64 F -2)) (*.f64 l (PI.f64)))) 2) (/.f64 (cbrt.f64 (fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (pow.f64 F 4))))))
(/.f64 (-.f64 (pow.f64 (*.f64 l (PI.f64)) 6) (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (*.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))))) (+.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) 3) (pow.f64 (*.f64 l (PI.f64)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (cbrt.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))) (/.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 l (PI.f64)) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) 3)) (fma.f64 (*.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) (fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) (-.f64 (*.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) (fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) (pow.f64 (*.f64 l (PI.f64)) 2)) (pow.f64 (*.f64 l (PI.f64)) 4))) (+.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) (fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) 3) (pow.f64 (*.f64 l (PI.f64)) 6)))
Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(*.f64 l (PI.f64))
Calls

6 calls:

200.0ms
F
139.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
127.0ms
l
96.0ms
(*.f64 (PI.f64) l)
93.0ms
(/.f64 1 (*.f64 F F))
Results
ErrorSegmentsBranch
6.5b5F
0.5b3l
6.3b3(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
0.5b3(*.f64 (PI.f64) l)
8.5b2(/.f64 1 (*.f64 F F))
8.5b2(*.f64 F F)
Compiler

Compiled 1553 to 685 computations (55.9% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3325.7471578903605
55400.461401506036
0.0ms
-5.768352790834526e+28
-6795965276119144000.0
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes309.0ms (2.3%)

Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(neg.f64 (*.f64 (/.f64 1 F) (*.f64 l (/.f64 (PI.f64) F))))
(neg.f64 (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(neg.f64 (fabs.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(/.f64 l (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(/.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 l (PI.f64))
Calls

6 calls:

107.0ms
F
60.0ms
(*.f64 F F)
41.0ms
l
39.0ms
(*.f64 (PI.f64) l)
37.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
ErrorSegmentsBranch
6.5b5F
0.5b3l
6.3b3(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
0.5b3(*.f64 (PI.f64) l)
8.5b2(/.f64 1 (*.f64 F F))
8.5b2(*.f64 F F)
Compiler

Compiled 312 to 135 computations (56.7% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3325.7471578903605
55400.461401506036
0.0ms
-5.768352790834526e+28
-6795965276119144000.0
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes195.0ms (1.5%)

Counts
28 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(neg.f64 (*.f64 (/.f64 1 F) (*.f64 l (/.f64 (PI.f64) F))))
(neg.f64 (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(neg.f64 (fabs.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(/.f64 l (/.f64 1 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
(expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(/.f64 l (/.f64 1 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
Calls

5 calls:

72.0ms
F
44.0ms
l
34.0ms
(*.f64 (PI.f64) l)
22.0ms
(*.f64 F F)
18.0ms
(/.f64 1 (*.f64 F F))
Results
ErrorSegmentsBranch
6.8b5F
1.0b3l
1.0b3(*.f64 (PI.f64) l)
8.5b2(/.f64 1 (*.f64 F F))
8.5b2(*.f64 F F)
Compiler

Compiled 270 to 118 computations (56.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.45131778334552e-13
0.025236213869644402
0.0ms
-543802677751924.8
-1467121.0426386327
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes237.0ms (1.8%)

Counts
13 → 5
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(neg.f64 (*.f64 (/.f64 1 F) (*.f64 l (/.f64 (PI.f64) F))))
(neg.f64 (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(neg.f64 (fabs.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

5 calls:

60.0ms
l
54.0ms
(*.f64 (PI.f64) l)
46.0ms
F
37.0ms
(*.f64 F F)
37.0ms
(/.f64 1 (*.f64 F F))
Results
ErrorSegmentsBranch
9.9b5F
4.3b5l
4.3b5(*.f64 (PI.f64) l)
9.9b5(/.f64 1 (*.f64 F F))
9.9b5(*.f64 F F)
Compiler

Compiled 130 to 65 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.45131778334552e-13
0.025236213869644402
0.0ms
6.041147015957415e-204
4.679679794414935e-201
0.0ms
-2.529103414647775e-249
-2.0587326791810722e-249
0.0ms
-543802677751924.8
-1467121.0426386327
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes126.0ms (0.9%)

Counts
12 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(neg.f64 (*.f64 (/.f64 1 F) (*.f64 l (/.f64 (PI.f64) F))))
(neg.f64 (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))
(neg.f64 (fabs.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
Outputs
(*.f64 l (PI.f64))
(neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
Calls

5 calls:

35.0ms
(*.f64 F F)
32.0ms
F
19.0ms
(*.f64 (PI.f64) l)
18.0ms
l
18.0ms
(/.f64 1 (*.f64 F F))
Results
ErrorSegmentsBranch
9.9b5F
9.5b3l
9.5b3(*.f64 (PI.f64) l)
9.9b5(/.f64 1 (*.f64 F F))
9.9b5(*.f64 F F)
Compiler

Compiled 121 to 63 computations (47.9% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2507663689760351e-160
1.0677004464974386e-154
0.0ms
-2.2602838599734936e-170
-7.140939443341078e-182
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -14.8b remaining (-117.4%)

Threshold costs -14.8b (-117.4%)

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

2 calls:

4.0ms
F
3.0ms
l
Results
ErrorSegmentsBranch
12.6b1F
12.6b1l
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
36×*-commutative
32×+-commutative
24×sub-neg
22×neg-mul-1
22×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057522
1105522
2138522
3161522
4175522
5179522
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) -49999999999999995716575428608) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 5000) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) -49999999999999995716575428608) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 5000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) -500000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 4951760157141521/9903520314283042199192993792) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) -500000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) -5038209258419659/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (if (<=.f64 (*.f64 (PI.f64) l) 441252181048159/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608) (neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (if (<=.f64 (*.f64 (PI.f64) l) 4951760157141521/9903520314283042199192993792) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) -49999999999999995716575428608) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 5000) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))) (*.f64 l (PI.f64))))
(if (or (<=.f64 (*.f64 (PI.f64) l) -49999999999999995716575428608) (not (<=.f64 (*.f64 (PI.f64) l) 5000))) (*.f64 (PI.f64) l) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))))
(if (or (<=.f64 (*.f64 (PI.f64) l) -49999999999999995716575428608) (not (<=.f64 (*.f64 (PI.f64) l) 5000))) (*.f64 (PI.f64) l) (+.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 -1 F))))
(if (<=.f64 (*.f64 (PI.f64) l) -49999999999999995716575428608) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 5000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64))))
(if (or (<=.f64 (*.f64 (PI.f64) l) -49999999999999995716575428608) (not (<=.f64 (*.f64 (PI.f64) l) 5000))) (*.f64 (PI.f64) l) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)))
(if (<=.f64 (*.f64 (PI.f64) l) -500000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 4951760157141521/9903520314283042199192993792) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))))
(if (or (<=.f64 (*.f64 (PI.f64) l) -500000000000000) (not (<=.f64 (*.f64 (PI.f64) l) 4951760157141521/9903520314283042199192993792))) (*.f64 (PI.f64) l) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(if (<=.f64 (*.f64 (PI.f64) l) -500000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) -5038209258419659/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (if (<=.f64 (*.f64 (PI.f64) l) 441252181048159/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608) (neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (if (<=.f64 (*.f64 (PI.f64) l) 4951760157141521/9903520314283042199192993792) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) -500000000000000) (*.f64 (PI.f64) l) (if (<=.f64 (*.f64 (PI.f64) l) -5038209258419659/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (if (<=.f64 (*.f64 (PI.f64) l) 441252181048159/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608) (*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F))) (if (<=.f64 (*.f64 (PI.f64) l) 4951760157141521/9903520314283042199192993792) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l)))))
(if (<=.f64 (*.f64 (PI.f64) l) -500000000000000) (*.f64 (PI.f64) l) (if (<=.f64 (*.f64 (PI.f64) l) -5038209258419659/2015283703367863641175612582841936517787350944656835640441744648081489191271686017892521880674961806849191265080479159083871259916315786503793865121700056369432017074581165634798933096605020298206421786911816362015335190936094519572595203013485093980749277423468544) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (if (<=.f64 (*.f64 (PI.f64) l) 441252181048159/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608) (*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (if (<=.f64 (*.f64 (PI.f64) l) 4951760157141521/9903520314283042199192993792) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l)))))
(if (<=.f64 (*.f64 (PI.f64) l) -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (neg.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))))
(if (or (<=.f64 (*.f64 (PI.f64) l) -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (not (<=.f64 (*.f64 (PI.f64) l) 1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352))) (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F))))
(if (or (<=.f64 (*.f64 (PI.f64) l) -5438853046443695/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (not (<=.f64 (*.f64 (PI.f64) l) 1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352))) (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
Compiler

Compiled 180 to 90 computations (50% saved)

soundness396.0ms (3%)

Algorithm
egg-herbie
Rules
1210×associate-+r+
1210×associate-+r+
1108×associate-+l+
1108×associate-+l+
1072×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01445
12939
26139
314739
430739
545039
661739
777439
8106839
9139739
10146639
043316210
1126615400
2610715184
046212645
1130811743
2677911743
043316210
1126615400
2610715184
Stop Event
node limit
node limit
node limit
saturated
Compiler

Compiled 143 to 70 computations (51% saved)

end53.0ms (0.4%)

Compiler

Compiled 170 to 63 computations (62.9% saved)

Profiling

Loading profile data...