Details

Time bar (total: 11.5s)

analyze459.0ms (4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.2%0.1%7
18.7%81.2%0.1%8
29.7%69.5%0.9%9
30.4%67.9%1.7%10
36.3%61.1%2.6%11
36.9%59.5%3.6%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.3s (29.1%)

Results
1.4s1027×body2048valid
819.0ms1911×body1024valid
671.0ms4529×body256valid
204.0ms740×body512valid
189.0ms49×body4096valid
43.0ms303×body256invalid
5.0ms8×body2048invalid
1.0ms2×body8192exit

preprocess90.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 12 computations (33.3% saved)

simplify17.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
16.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶16.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
▶16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Compiler

Compiled 30 to 18 computations (40% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
30.3b
(tan.f64 (*.f64 (PI.f64) l))
3.1b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
0.3b
(*.f64 (PI.f64) l)
0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓0.3b
(*.f64 (PI.f64) l)
✓3.1b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓30.3b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 35 to 8 computations (77.1% saved)

series89.0ms (0.8%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
75.0ms
l
@0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
3.0ms
F
@0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
2.0ms
l
@0
(tan.f64 (*.f64 (PI.f64) l))
1.0ms
l
@0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
1.0ms
l
@inf
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))

rewrite95.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0945
120045
2288545
Stop Event
1×node limit
Counts
4 → 231
Calls
Call 1
Inputs
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(*.f64 (PI.f64) l)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x 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pow.f64 (exp.f64 1) (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(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 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule 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simplify83.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
724×fma-neg_binary64
594×fma-def_binary64
490×associate-*r*_binary64
483×associate-*l*_binary64
329×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01042029
13261943
212091824
375311824
Stop Event
1×node limit
Counts
303 → 262
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (*.f64 (pow.f64 l 5) (-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)))))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (*.f64 (pow.f64 l 7) (-.f64 (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2))))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))))) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (*.f64 (pow.f64 l 5) (-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))))))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
Outputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(fma.f64 l (PI.f64) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))
(fma.f64 l (PI.f64) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 3))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(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 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 l (PI.f64) (*.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 (*.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 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (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 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (PI.f64) 3) 1/72))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 l (PI.f64) (*.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))))))
(fma.f64 (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 7) 1/720)) (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (PI.f64) 3) 1/72)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 l (PI.f64) (*.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))))))
(/.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 (PI.f64) F) (/.f64 l F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F 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 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (*.f64 F F)) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
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(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
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(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.2b
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
0.6b
(/.f64 1 (*.f64 F F))
0.3b
(*.f64 (PI.f64) l)
0.0b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
0.3b
(*.f64 (PI.f64) l)
✓0.6b
(/.f64 1 (*.f64 F F))
✓3.2b
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
30.3b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 45 to 16 computations (64.4% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
l
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
0.0ms
F
@0
(/.f64 1 (*.f64 F F))
0.0ms
F
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
0.0ms
F
@inf
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
0.0ms
l
@-inf
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite53.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01020
120117
2244717
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 F F))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))) 1)))) (#(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 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) (/.f64 (*.f64 F F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (*.f64 F F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) 1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) -1) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) -1) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (*.f64 F F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 F -2)) (pow.f64 (cbrt.f64 (pow.f64 F -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 2) (cbrt.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 F 4)) -1) (pow.f64 (cbrt.f64 (*.f64 F F)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 F -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 F F) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 F -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 F -2)))))))

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
812×cancel-sign-sub-inv_binary64
541×distribute-rgt-neg-in_binary64
519×distribute-lft-neg-in_binary64
429×fma-neg_binary64
338×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073860
1210810
2736777
34443756
Stop Event
1×node limit
Counts
90 → 67
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
Outputs
(/.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 (*.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 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
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(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
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(fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (pow.f64 (PI.f64) 5) 1/6)) (*.f64 F F)) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2))) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (*.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 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (pow.f64 (PI.f64) 2)))) (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 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (pow.f64 (PI.f64) 2) -1/2))) F)) (*.f64 1/24 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (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 F) (/.f64 (PI.f64) F)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (*.f64 F F))) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) (*.f64 (/.f64 F (pow.f64 (PI.f64) 4)) F)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (*.f64 F F)) (pow.f64 l 5) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840 (*.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (pow.f64 (PI.f64) 5) 1/6)) (*.f64 F F)) (*.f64 (pow.f64 (PI.f64) 2) 1/2))) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) -1/72) (*.f64 F F))) (pow.f64 l 7) (fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (pow.f64 (PI.f64) 5) 1/6)) (*.f64 F F)) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))))
(/.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 (*.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 (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 (*.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 (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 (*.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 (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 (*.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 (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 (*.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 (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 (*.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 (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 (*.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 (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 (*.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 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
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(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
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(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 (/.f64 1 F) F)

eval170.0ms (1.5%)

Compiler

Compiled 10528 to 4629 computations (56% saved)

prune108.0ms (0.9%)

Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New40739446
Fresh000
Picked011
Done011
Total40741448
Error
13.2b
Counts
448 → 41
Alt Table
Click to see full alt table
StatusErrorProgram
21.1b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
16.5b
(fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
22.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F)))
21.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
✓16.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
38.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
16.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.f64 F F)))
53.4b
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
26.4b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l))))))
38.4b
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
45.0b
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶16.6b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
38.4b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 3))) (*.f64 F F)))
17.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (log.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
13.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
▶21.4b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
30.3b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
13.6b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) F))
▶13.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
44.4b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
30.0b
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3) 1/3)))
▶21.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F)))
53.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) l))))) (*.f64 F F)))
37.9b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F)))
16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
40.0b
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) -1)))
43.8b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))))
40.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
✓16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
16.8b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
38.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
21.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
37.1b
(fma.f64 (cbrt.f64 (*.f64 l l)) (*.f64 (cbrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
16.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) (*.f64 F F)))
21.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))
43.2b
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))) 1/3))
38.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 3)))))
16.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
▶38.1b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
38.0b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
38.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) (*.f64 F F)))
Compiler

Compiled 1406 to 924 computations (34.3% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (PI.f64) l)
0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
✓0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.3b
(*.f64 (PI.f64) l)
30.3b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 38 to 8 computations (78.9% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite70.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify64.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

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

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.0b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
0.6b
(/.f64 (PI.f64) (*.f64 F F))
0.0b
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓0.0b
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓0.6b
(/.f64 (PI.f64) (*.f64 F F))
✓3.0b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Compiler

Compiled 29 to 7 computations (75.9% saved)

series5.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite86.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0835
117735
2259335
Stop Event
1×node limit
Counts
3 → 225
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
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(PI.f64)) (pow.f64 F -2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))) (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 1 (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64))) (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 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F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (fma.f64 (neg.f64 (pow.f64 F -2)) (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (fma.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) 1 (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (+.f64 (*.f64 (PI.f64) (neg.f64 (pow.f64 F -2))) (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (cbrt.f64 (/.f64 (/.f64 (PI.f64) F) F)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) 1) 1))))))

simplify50.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
016556
138556
294535
3264535
4873535
53898535
65089535
Stop Event
1×node limit
Counts
273 → 238
Calls
Call 1
Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
0.1b
(/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)
0.0b
(sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))
0.0b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
✓0.1b
(/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)
✓0.1b
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
0.3b
(*.f64 (PI.f64) l)
30.3b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 47 to 13 computations (72.3% saved)

series76.0ms (0.7%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
66.0ms
F
@0
(/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)
2.0ms
l
@0
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
1.0ms
l
@-inf
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
1.0ms
l
@inf
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
1.0ms
F
@0
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)

rewrite52.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
974×pow1_binary64
897×add-log-exp_binary64
897×log1p-expm1-u_binary64
897×expm1-log1p-u_binary64
103×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
120925
2248525
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)
(/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 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 (/.f64 1 F) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (/.f64 1 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (/.f64 1 F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (cbrt.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 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (*.f64 (sqrt.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 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (sqrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))) (sqrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(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 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (/.f64 F (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 F (/.f64 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))) F) (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (*.f64 (neg.f64 F) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (neg.f64 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1) (*.f64 (neg.f64 F) (/.f64 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))) (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4))))) (#(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 log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(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 -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (cbrt.f64 (sqrt.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)) (*.f64 F F))) (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (sqrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/4) (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/4) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 1 (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4))) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/4) 1) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/4) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 F F))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 F F))) (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/4) (cbrt.f64 (*.f64 F F))) (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/4) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 F)) (/.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3/2) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))))))

simplify147.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
708×*-commutative_binary64
706×sqr-pow_binary64
521×associate-/l*_binary64
445×associate-*r*_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018920
131860
249860
399860
4262860
5975860
63484860
74313860
84537860
94771860
105037860
115377860
126149860
136678860
147304860
Stop Event
1×node limit
Counts
110 → 75
Calls
Call 1
Inputs
(/.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 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
Outputs
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (/.f64 1 F))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) F)

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.1b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F))
0.4b
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)
0.3b
(*.f64 (PI.f64) l)
0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F)))
✓0.4b
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)
✓3.1b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F))
✓14.5b
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
30.3b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 55 to 21 computations (61.8% saved)

series10.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite81.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
494×log-prod_binary64
391×prod-exp_binary64
375×exp-prod_binary64
296×pow-prod-down_binary64
262×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
123130
2260830
Stop Event
1×node limit
Counts
3 → 140
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.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) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 4) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3/2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 5) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (log.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1/2) (log.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1/2) (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1/2) (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) 1/2)))))))

simplify68.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
753×fma-def_binary64
433×fma-neg_binary64
330×associate-/l*_binary64
315×unswap-sqr_binary64
304×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01181688
13681534
214001495
367781491
Stop Event
1×node limit
Counts
188 → 168
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 2) (pow.f64 (PI.f64) 2))
(+.f64 (*.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (PI.f64)))) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (pow.f64 l 6) (+.f64 (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2) (*.f64 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))))) (PI.f64))))) (+.f64 (*.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (PI.f64)))) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 (pow.f64 l 6) (+.f64 (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2) (*.f64 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))))) (PI.f64))))) (+.f64 (*.f64 (pow.f64 l 8) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (*.f64 2 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/720 (pow.f64 (PI.f64) 7)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (PI.f64))))) (+.f64 (*.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (PI.f64)))) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
Outputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(fma.f64 l (PI.f64) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))
(fma.f64 l (PI.f64) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 3))))
(fma.f64 l (PI.f64) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 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 (*.f64 -1/2 (*.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 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)))) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 3)))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) 1/3))))
(+.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 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 -1/2 (*.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 7) (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)))) (*.f64 (pow.f64 (PI.f64) 2) -1/2))))) (fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)))) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 l 3))))))
(fma.f64 (pow.f64 l 7) (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 -1/2 (pow.f64 (PI.f64) 2)) (fma.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 1/24 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) 1/3)))))
(fma.f64 (pow.f64 l 7) (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2))) 1/2 (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 4)) -1/3) (*.f64 (pow.f64 (PI.f64) 7) 1/720)))) (fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) 1/3)))))
(/.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 (PI.f64) F) (/.f64 l F))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (*.f64 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 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) (/.f64 (*.f64 F F) -1/2))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 5) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 F F)) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(+.f64 (*.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 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (*.f64 F F)) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 (*.f64 1/24 (*.f64 (pow.f64 (PI.f64) 3) 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 l (/.f64 (*.f64 F F) (PI.f64))))))
(fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (/.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) (/.f64 (*.f64 F F) -1/2))) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) 7) 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 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)))) F)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 4) F)))))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 (pow.f64 l 5) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 F F)) (fma.f64 (pow.f64 l 7) (+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F))) -1/24)) (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) F)))) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 1/3 F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l))
(*.f64 l (*.f64 l (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (PI.f64)))) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))
(fma.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 3) 1/3))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)))
(fma.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)))
(fma.f64 l (*.f64 l (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/3) (*.f64 2 (pow.f64 l 4))))
(+.f64 (*.f64 (pow.f64 l 6) (+.f64 (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2) (*.f64 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))))) (PI.f64))))) (+.f64 (*.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (PI.f64)))) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))
(fma.f64 (pow.f64 l 6) (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2) (*.f64 2 (*.f64 (PI.f64) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2))))))) (fma.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 3) 1/3))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l))))
(fma.f64 (pow.f64 l 6) (fma.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3))))) (PI.f64) (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2)) (fma.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l))))
(fma.f64 (pow.f64 l 6) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 6) 1/9)) (fma.f64 l (*.f64 l (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/3) (*.f64 2 (pow.f64 l 4)))))
(+.f64 (*.f64 (pow.f64 l 6) (+.f64 (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2) (*.f64 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))))) (PI.f64))))) (+.f64 (*.f64 (pow.f64 l 8) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (*.f64 2 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/720 (pow.f64 (PI.f64) 7)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (PI.f64))))) (+.f64 (*.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (PI.f64)))) (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(fma.f64 (pow.f64 l 6) (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2) (*.f64 2 (*.f64 (PI.f64) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2))))))) (fma.f64 (pow.f64 l 8) (*.f64 2 (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2))))) (*.f64 (PI.f64) (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 (PI.f64) 7) -1/720))))))) (fma.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 3) 1/3))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)))))
(fma.f64 (pow.f64 l 6) (fma.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3))))) (PI.f64) (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) 2)) (fma.f64 (pow.f64 l 8) (*.f64 2 (fma.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)))) (*.f64 (PI.f64) (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)))) (*.f64 (pow.f64 (PI.f64) 2) -1/2)))))))) (fma.f64 2 (*.f64 (pow.f64 l 4) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 l l)))))
(fma.f64 (pow.f64 l 6) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 6) 1/9)) (fma.f64 l (*.f64 l (pow.f64 (PI.f64) 2)) (*.f64 2 (+.f64 (*.f64 (pow.f64 l 4) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) (*.f64 (pow.f64 l 8) (fma.f64 (PI.f64) (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 -1/2 (pow.f64 (PI.f64) 2)) (fma.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 1/24 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) 1/3))))))))
(fma.f64 (pow.f64 l 6) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) (*.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 6) 1/9)) (fma.f64 l (*.f64 l (pow.f64 (PI.f64) 2)) (*.f64 2 (+.f64 (*.f64 (pow.f64 l 4) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) (*.f64 (pow.f64 l 8) (fma.f64 (PI.f64) (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2))) 1/2 (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 4)) -1/3) (*.f64 (pow.f64 (PI.f64) 7) 1/720)))) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 4) 1/3)) 1/2)) 1/3))))))))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) 2))

localize27.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.2b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l)))
0.4b
(pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)
0.3b
(*.f64 (PI.f64) l)
0.0b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l))))
✓0.4b
(pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)
✓3.2b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l)))
✓26.9b
(cbrt.f64 (pow.f64 F -2))
30.3b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 53 to 30 computations (43.4% saved)

series8.0ms (0.1%)

Counts
3 → 24
Calls

12 calls:

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

rewrite61.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
501×log-prod_binary64
390×prod-exp_binary64
371×exp-prod_binary64
319×pow-prod-down_binary64
280×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
125423
2264923
Stop Event
1×node limit
Counts
3 → 125
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 F -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 F -2)) 3) (tan.f64 (*.f64 (PI.f64) l)))
(pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)
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 (exp.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 F) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 F -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 F -4))) (cbrt.f64 (pow.f64 (cbrt.f64 F) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 F)) (cbrt.f64 (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 F -2) 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 (pow.f64 F -4)) 1/2)))) (#(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 F 3) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 F -4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 F -6) 1/9)))) (#(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 pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 F -4))) 3/2)))) (#(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 (cbrt.f64 (/.f64 1 F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 F) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 F) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 -2 (log.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 -2/3 (log.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 F))) 2)) (cbrt.f64 (*.f64 -2/3 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 F)))) (sqrt.f64 (*.f64 -2/3 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 F -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 F) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 F) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2/3 (log.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2/3 (log.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 F) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 -2/3 (log.f64 F))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1 F))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 F)) -2))))) (#(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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 F -4)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 F) 1) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2/3 (log.f64 F)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(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 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1) (log.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 F)) (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1) (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 -2 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 -2 (log.f64 F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 (*.f64 -2 (log.f64 F)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 F -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 F -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) -2) (cbrt.f64 (pow.f64 F -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 F -4)) (pow.f64 (cbrt.f64 F) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 F -4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 F) -2)) (cbrt.f64 (pow.f64 F -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 F)) (pow.f64 (pow.f64 F -2) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) -4) (pow.f64 (cbrt.f64 F) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 F -2) 5/6) (cbrt.f64 (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 F -4)) 1) (pow.f64 (cbrt.f64 F) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 F -4)) (cbrt.f64 (cbrt.f64 (pow.f64 F -4)))) (cbrt.f64 (pow.f64 (cbrt.f64 F) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 F -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 F -6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 F -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 F)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 F -6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 F) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2/3 (log.f64 F)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 F) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2/3 (log.f64 F)) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1/3) (log.f64 (cbrt.f64 (pow.f64 F -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -2/3 (log.f64 F)) 1) (log.f64 (cbrt.f64 (pow.f64 F -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 F -4))) (*.f64 (*.f64 -2 (log.f64 F)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 F -4))) (*.f64 (*.f64 -2/3 (log.f64 F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 F) -1) (neg.f64 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -2/3 (log.f64 F)) 3/2) (neg.f64 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 F)) (*.f64 (log.f64 F) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 F) -1) (*.f64 (log.f64 F) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -2/3 (log.f64 F)) 3/2) (*.f64 (log.f64 F) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 F)) (*.f64 (*.f64 -2/3 (log.f64 F)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 F) -1) (*.f64 (*.f64 -2/3 (log.f64 F)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -2/3 (log.f64 F)) 3/2) (*.f64 (*.f64 -2/3 (log.f64 F)) 3/2)))))))

simplify52.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
812×cancel-sign-sub-inv_binary64
541×distribute-rgt-neg-in_binary64
519×distribute-lft-neg-in_binary64
429×fma-neg_binary64
338×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071776
1207726
2733693
34450672
Stop Event
1×node limit
Counts
149 → 136
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
Outputs
(/.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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (*.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 (/.f64 l (*.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 F) (/.f64 (PI.f64) F)))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (*.f64 (/.f64 l F) (/.f64 (PI.f64) 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 (*.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 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (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 (*.f64 F F)) (PI.f64))))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (*.f64 F F)) (pow.f64 l 5) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F))))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) 1/3)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (pow.f64 (PI.f64) 5) 1/6)) (*.f64 F F)) (pow.f64 l 5) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2))) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 4))))))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 (*.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 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (pow.f64 (PI.f64) 2)))) (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 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 3)) 1/3))) F)) (*.f64 1/24 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (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 (*.f64 F F)) (PI.f64)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (*.f64 F F))) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) (*.f64 (/.f64 F (pow.f64 (PI.f64) 4)) F)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (*.f64 F F)) (pow.f64 l 5) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840 (*.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (pow.f64 (PI.f64) 5) 1/6)) (*.f64 F F)) (*.f64 (pow.f64 (PI.f64) 2) 1/2))) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) -1/72) (*.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) 5) 1/6)) (*.f64 F F)) (pow.f64 l 5) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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 (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 (*.f64 F F) (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))))))

eval625.0ms (5.5%)

Compiler

Compiled 21882 to 9575 computations (56.2% saved)

prune343.0ms (3%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New96114975
Fresh32234
Picked101
Done426
Total998181016
Error
0.2b
Counts
1016 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
54.1b
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
13.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) F))
26.7b
(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
54.4b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
▶16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
21.4b
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 1 F) (/.f64 (PI.f64) F))))
18.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))
18.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
▶18.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
27.5b
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) l) (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2)))
27.6b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) 3)))
▶54.0b
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
53.4b
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
21.1b
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
▶36.4b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
✓21.4b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
▶12.0b
(*.f64 l (PI.f64))
✓16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Compiler

Compiled 483 to 321 computations (33.5% saved)

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 7 to 4 computations (42.9% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite113.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
8.0b
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
0.2b
(/.f64 F (neg.f64 (PI.f64)))
0.2b
(*.f64 F (/.f64 F (neg.f64 (PI.f64))))
✓0.2b
(*.f64 F (/.f64 F (neg.f64 (PI.f64))))
✓0.2b
(/.f64 F (neg.f64 (PI.f64)))
✓8.0b
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
Compiler

Compiled 25 to 7 computations (72% saved)

series8.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite91.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
906×pow1_binary64
840×add-log-exp_binary64
839×log1p-expm1-u_binary64
839×expm1-log1p-u_binary64
821×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
117524
2264924
Stop Event
1×node limit
Counts
3 → 101
Calls
Call 1
Inputs
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(/.f64 F (neg.f64 (PI.f64)))
(*.f64 F (/.f64 F (neg.f64 (PI.f64))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 (/.f64 (PI.f64) F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))) 2) (cbrt.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) (/.f64 F (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 l) (/.f64 F (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (/.f64 (/.f64 (PI.f64) F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (/.f64 (/.f64 (PI.f64) F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) F) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) F) F) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l F) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 l (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) F) (/.f64 (cbrt.f64 l) (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) F) (/.f64 (sqrt.f64 l) (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) (/.f64 F (PI.f64))) (/.f64 (sqrt.f64 l) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (/.f64 F (PI.f64))) (/.f64 (cbrt.f64 l) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) 1) (/.f64 (cbrt.f64 l) (*.f64 F (/.f64 F (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) 1) (/.f64 (sqrt.f64 l) (*.f64 F (/.f64 F (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (/.f64 l (cbrt.f64 (*.f64 F (/.f64 F (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 2)) (cbrt.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 F (sqrt.f64 (PI.f64)))) (/.f64 l (/.f64 F (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (/.f64 F (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 l) (/.f64 F (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (*.f64 F F)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 l F) F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 l F) 1) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (/.f64 F (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (/.f64 l (/.f64 F (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 l 3) (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 F (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 F (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 F (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 F (PI.f64))) 2) (cbrt.f64 (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 (cbrt.f64 F) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 F (PI.f64))) (sqrt.f64 (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (*.f64 (sqrt.f64 F) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 F) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 F (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) 1) (/.f64 (cbrt.f64 F) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 F (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 F) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 F (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 F) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) -1) (/.f64 (cbrt.f64 F) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) -1) (/.f64 (sqrt.f64 F) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 F (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 F (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 F 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 F (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 F (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 F (/.f64 F (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 F F)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 F) F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (neg.f64 F)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 F F) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 F F) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 F F) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 F F) -1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (/.f64 F (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 F (/.f64 F (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 F (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 F (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 F (/.f64 F (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 F 3) (pow.f64 (/.f64 F (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 F (PI.f64)) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 F (/.f64 F (PI.f64)))))))) (#(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)))))))))

simplify61.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
720×fma-def_binary64
581×times-frac_binary64
520×div-sub_binary64
403×fma-neg_binary64
381×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014516
133516
282516
3227516
4802516
53785516
64917516
77350516
Stop Event
1×node limit
Counts
149 → 106
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 F (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
Outputs
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F F))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 F (PI.f64)))
(neg.f64 (/.f64 F (PI.f64)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))
(*.f64 -1 (/.f64 (pow.f64 F 2) (PI.f64)))
(neg.f64 (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (*.f64 (neg.f64 F) F) (PI.f64))
(/.f64 (neg.f64 F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 F (PI.f64)) (neg.f64 F))
(*.f64 F (/.f64 (neg.f64 F) (PI.f64)))

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (PI.f64) l)
0.2b
(/.f64 (*.f64 l (PI.f64)) F)
0.1b
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
✓0.1b
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
✓0.2b
(/.f64 (*.f64 l (PI.f64)) F)
0.3b
(*.f64 (PI.f64) l)
0.3b
(*.f64 l (PI.f64))
Compiler

Compiled 34 to 8 computations (76.5% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

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

rewrite69.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
894×pow1_binary64
830×add-log-exp_binary64
830×log1p-expm1-u_binary64
830×expm1-log1p-u_binary64
812×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115019
2220119
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 l F) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 1 (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 (PI.f64) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 l (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l F) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 l F) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) 2) (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 l F) (PI.f64))) (sqrt.f64 (*.f64 (/.f64 l F) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (neg.f64 (PI.f64))) (/.f64 1 (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l 1) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (pow.f64 (cbrt.f64 F) 2)) (/.f64 (PI.f64) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)) (/.f64 l (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (*.f64 l (PI.f64)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (sqrt.f64 F)) (/.f64 (PI.f64) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (sqrt.f64 F)) (/.f64 l (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (*.f64 l (PI.f64)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l F) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l F) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 l F) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (*.f64 l (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 l (PI.f64)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 l F) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 l F) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 l F) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 l F) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 l F) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 l F) (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 1 F) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l F) (PI.f64)) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) 2) (cbrt.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 l F) (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 l F) (PI.f64))) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (/.f64 1 (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (*.f64 (/.f64 l F) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) F) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l F) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 l (PI.f64)) (sqrt.f64 F)) (/.f64 (/.f64 1 F) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) F) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 l (PI.f64)) 1) (/.f64 (/.f64 1 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l F) (PI.f64))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 l F) (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l F) (PI.f64))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 l F) (PI.f64))) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (*.f64 (/.f64 l F) (PI.f64))) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 F l) (/.f64 F (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 l F) (PI.f64)) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))))))

simplify107.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
08264
116264
234264
375264
4211264
5786264
63676264
74499264
84707264
94926264
105154264
115479264
126900264
137878264
Stop Event
1×node limit
Counts
104 → 82
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.7b
(/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))
0.7b
(/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
0.3b
(*.f64 (PI.f64) l)
0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
0.3b
(*.f64 (PI.f64) l)
✓0.7b
(/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
✓2.7b
(/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))
30.3b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 48 to 13 computations (72.9% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite59.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
515×log-prod_binary64
399×prod-exp_binary64
398×exp-prod_binary64
316×pow-prod-down_binary64
263×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
120826
2267826
Stop Event
1×node limit
Counts
2 → 134
Calls
Call 1
Inputs
(/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
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l))) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (cbrt.f64 F) F)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F (neg.f64 F))) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 F -2) 1) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 F -2) (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 (*.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(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 (E.f64) (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))) 2)))) (#(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 (exp.f64 -1) (log.f64 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l)))) -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 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) -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 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)) -1))))) (#(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 2 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (log.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 (log.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 2 (log.f64 F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 (*.f64 2 (log.f64 F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (log.f64 F) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 -2 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 F)) (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))))))

simplify82.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
764×times-frac_binary64
643×associate-/l*_binary64
537×fma-def_binary64
350×associate-/r*_binary64
339×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01121776
13521669
215851592
Stop Event
1×node limit
Counts
182 → 156
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(+.f64 (/.f64 (pow.f64 F 2) (*.f64 l (PI.f64))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 l (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 l 3) (+.f64 (/.f64 (*.f64 (pow.f64 F 2) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3)))))) (+.f64 (/.f64 (pow.f64 F 2) (*.f64 l (PI.f64))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 l (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 l 3) (+.f64 (/.f64 (*.f64 (pow.f64 F 2) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 F 2) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 F 2) (pow.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))))) (PI.f64))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (pow.f64 (PI.f64) 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/720 (pow.f64 (PI.f64) 7)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 F 2)) (pow.f64 (PI.f64) 2)))) (pow.f64 l 5))) (+.f64 (/.f64 (pow.f64 F 2) (*.f64 l (PI.f64))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 F 2) (*.f64 l (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
Outputs
(/.f64 (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 F F) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))
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(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.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))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) F)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.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))) (*.f64 F (cos.f64 (*.f64 l (PI.f64))))) F)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
0.1b
(sqrt.f64 (*.f64 (PI.f64) l))
0.0b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓0.3b
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
0.3b
(*.f64 (PI.f64) l)
30.3b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 52 to 14 computations (73.1% saved)

series6.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
3.0ms
l
@inf
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
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)

rewrite45.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval413.0ms (3.6%)

Compiler

Compiled 12854 to 5293 computations (58.8% saved)

prune172.0ms (1.5%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New65510665
Fresh5611
Picked101
Done066
Total66122683
Error
0.1b
Counts
683 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.9b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
18.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) F)) F))
53.4b
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
▶54.0b
(neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
26.7b
(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
54.4b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
51.5b
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
✓16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
54.1b
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
38.8b
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶12.8b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
✓18.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
27.5b
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) l) (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2)))
27.6b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) 3)))
✓54.0b
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
▶14.1b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
21.1b
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
▶48.4b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
✓21.4b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓12.0b
(*.f64 l (PI.f64))
51.5b
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (PI.f64))
Compiler

Compiled 491 to 346 computations (29.5% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.7b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
0.6b
(cbrt.f64 (*.f64 l (PI.f64)))
0.3b
(*.f64 l (PI.f64))
0.3b
(*.f64 l (PI.f64))
✓0.6b
(cbrt.f64 (*.f64 l (PI.f64)))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
Compiler

Compiled 18 to 8 computations (55.6% saved)

series5.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
543×pow1_binary64
510×add-log-exp_binary64
510×log1p-expm1-u_binary64
510×expm1-log1p-u_binary64
497×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
114712
2144512
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(cbrt.f64 (*.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 *.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 (cbrt.f64 (*.f64 l (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))))) (#(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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) (*.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))) 3) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) 1) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) (pow.f64 (*.f64 l (PI.f64)) 1/6)) (pow.f64 (*.f64 l (PI.f64)) 1/6))))) (#(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 log1p.f64 (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 -.f64 (+.f64 1 (cbrt.f64 (*.f64 l (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) (pow.f64 (*.f64 l (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
52 → 52
Calls
Call 1
Inputs
Outputs

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.2b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
0.3b
(*.f64 l (PI.f64))
0.3b
(*.f64 l (PI.f64))
✓2.2b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite69.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify15.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
7.9b
(/.f64 l (*.f64 F F))
0.2b
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
✓0.2b
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
✓7.9b
(/.f64 l (*.f64 F F))
Compiler

Compiled 28 to 7 computations (75% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
792×pow1_binary64
734×add-log-exp_binary64
734×log1p-expm1-u_binary64
734×expm1-log1p-u_binary64
715×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
114718
2199818
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(/.f64 l (*.f64 F F))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (pow.f64 F -2))) (cbrt.f64 (/.f64 (*.f64 l l) (pow.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 l l) (pow.f64 F 4))) (cbrt.f64 (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) F) (/.f64 (sqrt.f64 l) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) F) (/.f64 (cbrt.f64 l) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) 1) (/.f64 (cbrt.f64 l) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) 1) (/.f64 (sqrt.f64 l) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 l (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 l) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 l) (cbrt.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (/.f64 l F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 l (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 l l) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 l 3) (pow.f64 (*.f64 F F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (pow.f64 F -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 (*.f64 F F) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 F (/.f64 l F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F F) (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) 1) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l F) (PI.f64)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 l F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 l (pow.f64 F -2)) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 l (pow.f64 F -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (*.f64 (pow.f64 F -2) (PI.f64)))))))))

simplify98.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
913×associate-/r/_binary64
608×times-frac_binary64
551×associate-/l/_binary64
491×sqr-pow_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09432
117432
235432
377432
4218432
5808432
63734432
74748432
84912432
95125432
105345432
115662432
126988432
137476432
Stop Event
1×node limit
Counts
105 → 61
Calls
Call 1
Inputs
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
Outputs
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 (*.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 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l (*.f64 F F)) (PI.f64))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
43.3b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
0.3b
(*.f64 l (PI.f64))
0.2b
(pow.f64 (*.f64 l (PI.f64)) 3)
✓0.2b
(pow.f64 (*.f64 l (PI.f64)) 3)
0.3b
(*.f64 l (PI.f64))
✓43.3b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite54.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify141.0ms (1.2%)

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

Useful iterations: 4 (0.0ms)

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

localize26.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 l) (PI.f64))
0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
0.0b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
✓0.3b
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
✓0.4b
(pow.f64 (cbrt.f64 l) 2)
✓0.6b
(cbrt.f64 l)
30.3b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 64 to 19 computations (70.3% saved)

series15.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
11.0ms
l
@-inf
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
1.0ms
l
@-inf
(pow.f64 (cbrt.f64 l) 2)
1.0ms
l
@inf
(pow.f64 (cbrt.f64 l) 2)
1.0ms
l
@0
(pow.f64 (cbrt.f64 l) 2)
1.0ms
l
@inf
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))

rewrite52.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
674×pow1_binary64
622×add-log-exp_binary64
622×log1p-expm1-u_binary64
622×expm1-log1p-u_binary64
607×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116214
2179114
Stop Event
1×node limit
Counts
3 → 50
Calls
Call 1
Inputs
(cbrt.f64 l)
(pow.f64 (cbrt.f64 l) 2)
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 1/6) (pow.f64 l 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 l (cbrt.f64 l)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 l) 1/3) (pow.f64 (sqrt.f64 l) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 l 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 l)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 l) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (cbrt.f64 (*.f64 l (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2) (*.f64 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (cbrt.f64 l))) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (pow.f64 l 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 1/6) (*.f64 (pow.f64 l 1/6) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)) (cbrt.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 l (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 l))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 l l) (pow.f64 (*.f64 (cbrt.f64 l) (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 l) (PI.f64)) 3) (*.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (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))))))))

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0460
1560
Stop Event
1×saturated
Counts
62 → 51
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))

eval106.0ms (0.9%)

Compiler

Compiled 5527 to 2482 computations (55.1% saved)

prune80.0ms (0.7%)

Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New38211393
Fresh3811
Picked101
Done01010
Total38629415
Error
0.1b
Counts
415 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
48.4b
(cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))
✓28.9b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
18.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) F)) F))
53.4b
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
✓54.0b
(neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
46.8b
(*.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))
14.4b
(-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)) (cbrt.f64 (cbrt.f64 l))) (*.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
51.5b
(neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
✓21.4b
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
12.8b
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
51.5b
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (PI.f64))
26.7b
(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
51.5b
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
✓16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
38.8b
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
✓16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓12.8b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
31.4b
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64))))) 3)
13.1b
(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
✓18.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
54.4b
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
27.6b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) 3)))
38.8b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
✓54.0b
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
21.1b
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
✓48.4b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
✓12.0b
(*.f64 l (PI.f64))
38.5b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) (cbrt.f64 (*.f64 l (PI.f64))))
12.8b
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
Compiler

Compiled 348 to 248 computations (28.7% saved)

regimes1.1s (9.9%)

Counts
76 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (PI.f64))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 1 F) (/.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) F)) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l)) 3)
(cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) 3)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) F))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(*.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64))))) 3)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2)) (cbrt.f64 (*.f64 l (PI.f64))))
(fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 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) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.f64 F F)))
(-.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2)) (/.f64 (tan.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 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) (*.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 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l))))))
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) -1)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (log.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
(-.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 (pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 3))) (*.f64 F F)))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3) 1/3)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 3)))))
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (cbrt.f64 (*.f64 l l)) (*.f64 (cbrt.f64 l) (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))) 1/3))
(/.f64 (*.f64 l (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) l))))) (*.f64 F F)))
(-.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 2)) (cbrt.f64 (cbrt.f64 l))) (*.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) l) (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)) (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (PI.f64) l (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))))
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

9 calls:

191.0ms
l
185.0ms
F
158.0ms
(*.f64 (PI.f64) l)
152.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
134.0ms
(*.f64 (PI.f64) l)
Results
ErrorSegmentsBranch
7.5b3F
0.4b3l
4.8b3(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
0.4b3(*.f64 (PI.f64) l)
0.4b3(*.f64 (PI.f64) l)
8.2b2(/.f64 1 (*.f64 F F))
8.2b2(/.f64 1 (*.f64 F F))
8.2b2(*.f64 F F)
8.2b2(*.f64 F F)
Compiler

Compiled 1069 to 431 computations (59.7% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1396737.5910537886
1.6175331784187007e+21
0.0ms
-78020035826854800.0
-95.31231458523337
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes102.0ms (0.9%)

Counts
25 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (PI.f64))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 1 F) (/.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l 1) (/.f64 (PI.f64) F)) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (*.f64 l (PI.f64))))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 l (PI.f64))
Calls

4 calls:

38.0ms
l
34.0ms
F
14.0ms
(/.f64 1 (*.f64 F F))
9.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
10.3b3F
0.6b3l
12.0b1(/.f64 1 (*.f64 F F))
12.0b1(*.f64 F F)
Compiler

Compiled 239 to 94 computations (60.7% saved)

bsearch280.0ms (2.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
149.0ms
444595.3836369534
5.148768019209618e+20
130.0ms
-24834548724101424.0
-30.338852007539284
Compiler

Compiled 421 to 294 computations (30.2% saved)

regimes70.0ms (0.6%)

Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (PI.f64))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 1 F) (/.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))
(*.f64 l (PI.f64))
Calls

3 calls:

32.0ms
F
25.0ms
l
8.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
10.3b3F
0.6b3l
12.0b1(*.f64 F F)
Compiler

Compiled 148 to 63 computations (57.4% saved)

bsearch256.0ms (2.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
123.0ms
444595.3836369534
5.148768019209618e+20
133.0ms
-24834548724101424.0
-30.338852007539284
Compiler

Compiled 421 to 294 computations (30.2% saved)

regimes97.0ms (0.8%)

Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (PI.f64))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (*.f64 (/.f64 1 F) (/.f64 (PI.f64) F))))
Outputs
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

3 calls:

65.0ms
F
21.0ms
l
6.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
10.3b3F
3.2b3l
12.0b1(*.f64 F F)
Compiler

Compiled 126 to 57 computations (54.8% saved)

bsearch369.0ms (3.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
163.0ms
444595.3836369534
5.148768019209618e+20
206.0ms
-24834548724101424.0
-30.338852007539284
Compiler

Compiled 381 to 274 computations (28.1% saved)

regimes67.0ms (0.6%)

Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (PI.f64))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
Outputs
(*.f64 l (PI.f64))
(/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64)))))
(*.f64 l (PI.f64))
Calls

3 calls:

39.0ms
l
21.0ms
F
5.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
10.3b3F
10.9b3l
12.0b1(*.f64 F F)
Compiler

Compiled 79 to 38 computations (51.9% saved)

bsearch200.0ms (1.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
127.0ms
5.6161610182101405e-77
4.907499945991974e-75
73.0ms
1.286729262086384e-112
6.847127161229798e-111
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes39.0ms (0.3%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 l F) (neg.f64 (/.f64 (PI.f64) F)))
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (PI.f64))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
Outputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 l (PI.f64))
Calls

3 calls:

17.0ms
F
15.0ms
l
4.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
10.3b3F
10.9b3l
12.0b1(*.f64 F F)
Compiler

Compiled 71 to 35 computations (50.7% saved)

bsearch132.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
66.0ms
5.6161610182101405e-77
4.907499945991974e-75
65.0ms
1.286729262086384e-112
6.847127161229798e-111
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -17.0b remaining (-141.7%)

Threshold costs -17.0b (-141.7%)

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:

6.0ms
F
3.0ms
l
Results
ErrorSegmentsBranch
12.0b1F
12.0b1l
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
051241
178241
2102241
3131241
4148241
5156241
6158241
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) -50000000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 2000000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -31) (*.f64 l (PI.f64)) (if (<=.f64 l 450000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -31) (*.f64 l (PI.f64)) (if (<=.f64 l 450000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -31) (*.f64 l (PI.f64)) (if (<=.f64 l 450000) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64))))
(if (<=.f64 F 5574492546133369/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (*.f64 l (PI.f64)) (if (<=.f64 F 457612881719255/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64))))) (*.f64 l (PI.f64))))
(if (<=.f64 F 5574492546133369/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (*.f64 l (PI.f64)) (if (<=.f64 F 457612881719255/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) -50000000000000000) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 2000000) (-.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) -50000000000000000) (*.f64 (PI.f64) l) (if (<=.f64 (*.f64 (PI.f64) l) 2000000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (PI.f64) l)))
(if (<=.f64 l -31) (*.f64 l (PI.f64)) (if (<=.f64 l 450000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -31) (*.f64 (PI.f64) l) (if (<=.f64 l 450000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (*.f64 (PI.f64) l)))
(if (<=.f64 l -31) (*.f64 l (PI.f64)) (if (<=.f64 l 450000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -31) (*.f64 (PI.f64) l) (if (<=.f64 l 450000) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)) (*.f64 (PI.f64) l)))
(if (<=.f64 l -31) (*.f64 l (PI.f64)) (if (<=.f64 l 450000) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64))))
(if (<=.f64 l -31) (*.f64 (PI.f64) l) (if (<=.f64 l 450000) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l)))
(if (<=.f64 F 5574492546133369/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (*.f64 l (PI.f64)) (if (<=.f64 F 457612881719255/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64))))) (*.f64 l (PI.f64))))
(if (<=.f64 F 5574492546133369/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (*.f64 (PI.f64) l) (if (<=.f64 F 457612881719255/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 l (*.f64 F (/.f64 F (neg.f64 (PI.f64))))) (*.f64 (PI.f64) l)))
(if (<=.f64 F 5574492546133369/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (*.f64 l (PI.f64)) (if (<=.f64 F 457612881719255/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (neg.f64 (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) (*.f64 l (PI.f64))))
(if (<=.f64 F 5574492546133369/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (*.f64 (PI.f64) l) (if (<=.f64 F 457612881719255/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) l) F)) F) (*.f64 (PI.f64) l)))
(if (<=.f64 F 5574492546133369/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216) (*.f64 (PI.f64) l) (if (<=.f64 F 457612881719255/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (/.f64 (/.f64 (*.f64 (PI.f64) (neg.f64 l)) F) F) (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

end63.0ms (0.6%)

Stop Event
1×fuel
Compiler

Compiled 316 to 150 computations (52.5% saved)

Profiling

Loading profile data...