Details

Time bar (total: 11.2s)

analyze479.0ms (4.3%)

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

Compiled 17 to 11 computations (35.3% saved)

sample3.1s (27.6%)

Results
1.1s1076×body2048valid
886.0ms1944×body1024valid
585.0ms4456×body256valid
217.0ms732×body512valid
169.0ms48×body4096valid
41.0ms283×body256invalid
5.0ms8×body2048invalid
2.0ms4×body8192exit

preprocess173.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
14340
210540
326740
445640
573740
6100540
7141840
8257340
9424540
10484840
11489840
12492840
13494240
14517040
15526640
16595440
17595440
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)

simplify68.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
12520
25720
313920
423620
537520
650120
764120
883320
9110320
10115720
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)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
19.4b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶19.4b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶19.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 30 to 18 computations (40% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (PI.f64) l)
✓0.3b
(/.f64 1 (*.f64 F F))
✓4.6b
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓33.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 45 to 16 computations (64.4% saved)

series22.0ms (0.2%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
4.0ms
F
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
3.0ms
l
@0
(tan.f64 (*.f64 (PI.f64) l))
2.0ms
l
@0
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms
F
@inf
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms
l
@inf
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite95.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
120129
2245429
Stop Event
1×node limit
Counts
4 → 87
Calls
Call 1
Inputs
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 F F))
(*.f64 (PI.f64) l)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.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 (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 -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 (tan.f64 (*.f64 (PI.f64) l)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 F 4))) (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (tan.f64 (*.f64 (PI.f64) l))) (*.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 (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 /.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (*.f64 F F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 (pow.f64 F -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 F -2) 3) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 F -2)) (cbrt.f64 (pow.f64 (*.f64 F F) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 F F) -2)) (cbrt.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 F 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 F) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 F -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 F -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 F -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 F F) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 F -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 F -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))))

simplify64.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0891282
12591208
29431154
358891124
Stop Event
1×node limit
Counts
147 → 108
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
Outputs
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(fma.f64 l (PI.f64) (*.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))
(fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 l (PI.f64)))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.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 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))))
(fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (*.f64 l (PI.f64))))
(fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 l (PI.f64))))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 1/24 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 5) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(fma.f64 l (PI.f64) (fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 1/24 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.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 (-.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 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))))))
(fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 (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))))) (fma.f64 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (PI.f64) 3) 1/72) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)))) (*.f64 l (PI.f64)))))
(fma.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5)))) (fma.f64 (pow.f64 (PI.f64) 7) -1/720 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72)))) (pow.f64 l 7) (fma.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 (pow.f64 l 5) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (PI.f64) (/.f64 F 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) (*.f64 F F)) 1/3) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 5) (+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (pow.f64 (PI.f64) 2)))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (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)) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (fma.f64 (pow.f64 l 5) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(fma.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (*.f64 F F) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 5) (fma.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (*.f64 (*.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 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (pow.f64 (PI.f64) 2)))) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (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) 3) 1/3) (pow.f64 (PI.f64) 2)))) F)) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 4))) (/.f64 (*.f64 F F) 1/24)))) (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) (*.f64 F F)) 1/3) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 F F)) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) F) (/.f64 (pow.f64 (PI.f64) 4) F)))) (/.f64 (/.f64 (PI.f64) (/.f64 F 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 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (/.f64 F -1/2)) (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) (*.f64 F F)))) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (*.f64 F F))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
0.2b
(*.f64 (PI.f64) l)
✓4.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
33.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 35 to 8 computations (77.1% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite98.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
120033
2289033
Stop Event
1×node limit
Counts
2 → 172
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (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 *.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 F) F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) 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l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (-.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (-.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (fma.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (-.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (-.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1))))))

simplify126.0ms (1.1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0881607
12771545
210021447
360271415
Stop Event
1×node limit
Counts
220 → 196
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (*.f64 (pow.f64 l 5) (-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)))))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (*.f64 (pow.f64 l 7) (-.f64 (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 5)) (*.f64 -1/2 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2))))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))))) (+.f64 (*.f64 (pow.f64 l 3) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (*.f64 (pow.f64 l 5) (-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))))))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
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(+.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))))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (fma.f64 (pow.f64 l 7) (+.f64 (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)))))) (*.f64 1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)))) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -1/3) (*.f64 (pow.f64 l 5) (+.f64 (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))))) (*.f64 -1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (fma.f64 (pow.f64 l 7) (+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) -1/720 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))))) F)) (*.f64 1/24 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (pow.f64 (PI.f64) 4))))) (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/5040)) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -1/3) (*.f64 (pow.f64 l 5) (fma.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) 1/24 (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3) (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/120)))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -1/3) (fma.f64 (pow.f64 l 5) (-.f64 0 (/.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 (pow.f64 l 7) (+.f64 (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))) (*.f64 F F))) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) (*.f64 (/.f64 F (pow.f64 (PI.f64) 4)) F))) (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) -1/840))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (fma.f64 (pow.f64 l 7) (+.f64 (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.f64 F F))) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) (*.f64 F F))) (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) -1/840)) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -1/3) (*.f64 (pow.f64 l 5) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (pow.f64 (PI.f64) 5))) (*.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 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (cos.f64 (*.f64 l (PI.f64)))))

eval280.0ms (2.5%)

Compiler

Compiled 9014 to 4137 computations (54.1% saved)

prune151.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New35516371
Fresh000
Picked101
Done101
Total35716373
Error
0.1b
Counts
373 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶11.7b
(*.f64 l (PI.f64))
45.3b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
20.5b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
39.0b
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
21.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
▶26.6b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
15.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶15.1b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
19.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (*.f64 (PI.f64) l))))
19.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.f64 F F)))
▶38.8b
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
40.0b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 2)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
38.8b
(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))))
▶20.1b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
26.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
43.4b
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
Compiler

Compiled 542 to 352 computations (35.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.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))

rewrite59.0ms (0.5%)

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 (pow.f64 (exp.f64 (PI.f64)) 2) 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 (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 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 sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l (PI.f64)))) 2))))))

simplify11.0ms (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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓0.1b
(/.f64 (/.f64 (PI.f64) F) F)
✓0.2b
(/.f64 (PI.f64) F)
✓4.6b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
Compiler

Compiled 29 to 7 computations (75.9% saved)

series14.0ms (0.1%)

Counts
4 → 48
Calls

15 calls:

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

rewrite264.0ms (2.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0840
118040
2273840
Stop Event
1×node limit
Counts
4 → 287
Calls
Call 1
Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (PI.f64) F)
(/.f64 (/.f64 (PI.f64) F) F)
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (sqrt.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2)))) (+.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 1 F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (pow.f64 (hypot.f64 (PI.f64) (hypot.f64 (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)) (fma.f64 (neg.f64 (/.f64 1 F)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 6)) (/.f64 1 (pow.f64 (hypot.f64 (PI.f64) (hypot.f64 (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2)))) 2)) (fma.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) 1 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule 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(neg.f64 (PI.f64)) (*.f64 F F))) (sqrt.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) F)) (/.f64 (sqrt.f64 (PI.f64)) F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (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 (/.f64 1 F)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(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 (neg.f64 (PI.f64)) (*.f64 F F)) 1 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (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 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (+.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) (PI.f64))))))

simplify103.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
016556
138556
294535
3264535
4873535
53893535
65094535
Stop Event
1×node limit
Counts
335 → 300
Calls
Call 1
Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l 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) (-.f64 l (/.f64 (/.f64 l 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) (-.f64 l (/.f64 (/.f64 l 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) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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) (-.f64 l (/.f64 (/.f64 l 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) (-.f64 l (/.f64 (/.f64 l 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 (PI.f64) (-.f64 l (/.f64 (/.f64 l 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) (-.f64 l (/.f64 (/.f64 l 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) (-.f64 l (/.f64 (/.f64 l 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 (/.f64 (neg.f64 (PI.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)))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))
✓0.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.2b
(*.f64 (PI.f64) l)
33.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 46 to 16 computations (65.2% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite89.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
524×log-prod_binary64
406×prod-exp_binary64
402×exp-prod_binary64
325×pow-prod-down_binary64
259×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
120723
2268323
Stop Event
1×node limit
Counts
2 → 142
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x 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2)) (cbrt.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))) (sqrt.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (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) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 (log.f64 F) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (neg.f64 (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) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 (log.f64 F) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (neg.f64 (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 (neg.f64 (log.f64 F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 F) -1) (log.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 F)) 1) (log.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 F)) (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (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 (neg.f64 (log.f64 F)) 1) (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)))) (#(struct:change #<rule egg-rr> 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F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (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 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 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(+.f64 (*.f64 (neg.f64 (log.f64 F)) 1) (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 F)) (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 F) -1) (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 F)) 1) (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1)))))))

simplify82.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01051447
13081385
210441307
359901271
Stop Event
1×node limit
Counts
190 → 164
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 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 (*.f64 l (PI.f64)) F) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))
(fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (*.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (/.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) F) 1/3 (*.f64 (PI.f64) (/.f64 l F)))
(+.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 (*.f64 l (PI.f64)) F) (*.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 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (*.f64 (/.f64 l F) (PI.f64))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (*.f64 (pow.f64 l 3) 1/3) (fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (/.f64 (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))) F)) (pow.f64 l 5) (*.f64 (PI.f64) (/.f64 l F))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (*.f64 (pow.f64 l 3) 1/3) (fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 5)))) F) (pow.f64 l 5) (*.f64 (PI.f64) (/.f64 l F))))
(+.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 (*.f64 l (PI.f64)) F) (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (*.f64 (-.f64 (/.f64 (*.f64 -1/5040 (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 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (*.f64 (/.f64 l F) (PI.f64)))) (*.f64 (-.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 (PI.f64) 4)) (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 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))) 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 F) (pow.f64 (PI.f64) 7)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720 (fma.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) F)) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) F) (pow.f64 (PI.f64) 4))))) (pow.f64 l 7) (*.f64 (PI.f64) (/.f64 l F)))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 5)))) F) (pow.f64 l 5) (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 1/720 (/.f64 F (pow.f64 (PI.f64) 7)))) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 5))))) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) F))) (pow.f64 l 7) (*.f64 (PI.f64) (/.f64 l F)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.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 (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 (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 (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 (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 (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 (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 (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 (*.f64 l (PI.f64)) (*.f64 F F))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(*.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 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(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 (*.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 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) (*.f64 F F))))) (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 (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) (*.f64 1/3 (pow.f64 (PI.f64) 2))) (*.f64 F F)))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l))))
(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 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) (*.f64 F F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F 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 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 5)))) (*.f64 F 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)))))
(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 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) (*.f64 F F))))) (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 (*.f64 l (PI.f64)) (*.f64 F F)))))
(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) (*.f64 1/3 (pow.f64 (PI.f64) 2))) (*.f64 F F)))) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (pow.f64 (PI.f64) 2))))) F)) (*.f64 1/24 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 3)) 1/3) (*.f64 F F))))) (fma.f64 (pow.f64 l 3) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 F F)) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))))
(fma.f64 (pow.f64 l 5) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) (*.f64 F F)) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) F) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) F)) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) F) (/.f64 (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 (PI.f64) (/.f64 l (*.f64 F F))))))
(fma.f64 (pow.f64 l 5) (/.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 5)))) (*.f64 F F)) (fma.f64 (pow.f64 l 7) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 F F)) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (neg.f64 (*.f64 -1/6 (pow.f64 (PI.f64) 5))))) (/.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 (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 (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)))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.6b
(cbrt.f64 (*.f64 (PI.f64) l))
✓0.8b
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
4.2b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
33.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 49 to 14 computations (71.4% saved)

series8.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
4.0ms
l
@0
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
2.0ms
l
@-inf
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
1.0ms
l
@inf
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)
1.0ms
l
@-inf
(cbrt.f64 (*.f64 (PI.f64) l))
0.0ms
l
@inf
(cbrt.f64 (*.f64 (PI.f64) l))

rewrite48.0ms (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 (PI.f64) l)) 3)
(cbrt.f64 (*.f64 (PI.f64) l))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(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 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.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 (cbrt.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.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 (PI.f64)) (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))) (#(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 (pow.f64 (*.f64 (PI.f64) l) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2) 3) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) 1) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (pow.f64 (*.f64 (PI.f64) l) 1/6)) (pow.f64 (*.f64 (PI.f64) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) (pow.f64 (*.f64 (PI.f64) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l))))))))

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

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.6b
(cbrt.f64 l)
✓4.6b
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
✓30.8b
(cbrt.f64 (*.f64 l l))
33.9b
(tan.f64 (*.f64 (PI.f64) l))
Compiler

Compiled 62 to 24 computations (61.3% saved)

series8.0ms (0.1%)

Counts
3 → 24
Calls

12 calls:

TimeVariablePointExpression
2.0ms
l
@inf
(cbrt.f64 (*.f64 l l))
1.0ms
l
@0
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
1.0ms
F
@0
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
1.0ms
l
@-inf
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
1.0ms
l
@inf
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))

rewrite67.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
542×log-prod_binary64
410×exp-prod_binary64
343×pow-prod-down_binary64
292×pow2_binary64
242×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01324
126522
2308422
Stop Event
1×node limit
Counts
3 → 119
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 l l))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))
(cbrt.f64 l)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 l) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 1 (pow.f64 (cbrt.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4) (cbrt.f64 (pow.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) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 5) (cbrt.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 l 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l l) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 l) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 l) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 3) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 6) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (cbrt.f64 l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 l)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 l) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 2 (log.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2/3 (log.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (log.f64 l))) 2)) (cbrt.f64 (*.f64 2/3 (log.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2/3 (log.f64 l)))) (sqrt.f64 (*.f64 2/3 (log.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 log.f64 (+.f64 1 (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 log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 l)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 l) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 l) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 l) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 l)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 l)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 l)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 l) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 l)) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 l (PI.f64))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 l (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) (cos.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 F -4) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 F -6) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 F) (sqrt.f64 (tan.f64 (*.f64 l (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64)))))) 2)) (cbrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64))))))) (sqrt.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 F -4) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 F -6) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 F) (sqrt.f64 (tan.f64 (*.f64 l (PI.f64)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 -2 (log.f64 F) (log.f64 (tan.f64 (*.f64 l (PI.f64))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 l)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (cbrt.f64 (cbrt.f64 l)) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (cbrt.f64 l)))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 l 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l l) 1/6)))) (#(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 l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 6) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 l) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 l 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 l))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 l)))) (sqrt.f64 (log.f64 (cbrt.f64 l))))))) (#(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 log.f64 (+.f64 1 (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 log1p.f64 (expm1.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 exp.f64 (*.f64 (log.f64 l) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 l) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 l) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 l)) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 l)) 1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 l) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 l)) 1) 1))))))

simplify62.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
748×distribute-rgt-neg-in_binary64
463×distribute-neg-frac_binary64
371×associate-*r*_binary64
358×associate-*l*_binary64
298×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077842
1240779
2926741
35631720
Stop Event
1×node limit
Counts
143 → 129
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (*.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 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 -1 (*.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 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))) (*.f64 -1 (*.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 -1 (*.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 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))) (+.f64 (*.f64 -1 (*.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 -1 (*.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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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))))
Outputs
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(+.f64 (*.f64 -1 (*.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 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 -1 (*.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3)) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(neg.f64 (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))))
(neg.f64 (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 -1 (*.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 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))) (*.f64 -1 (*.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)))))
(fma.f64 -1 (*.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)) (*.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 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))) (*.f64 F F)))) (pow.f64 l 5)))))
(-.f64 (neg.f64 (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)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (/.f64 (*.f64 (*.f64 -1/2 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (*.f64 F F))) (pow.f64 l 5)))
(-.f64 (*.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)))))
(-.f64 (*.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.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 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (*.f64 -1 (*.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 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))) (+.f64 (*.f64 -1 (*.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 -1 (*.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))))))
(fma.f64 -1 (*.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) 1/3)) (fma.f64 -1 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)) (fma.f64 -1 (*.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)) (neg.f64 (*.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 (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))) (*.f64 F F)))) (pow.f64 l 5))))))
(*.f64 -1 (+.f64 (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) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (*.f64 F F) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 (*.f64 -1/2 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) 1/3))))) (*.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) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F)) -1/30) (/.f64 (*.f64 (*.f64 -1/2 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (*.f64 F F))) (pow.f64 l 5)))))
(fma.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -1/3) (neg.f64 (fma.f64 (/.f64 (PI.f64) F) (/.f64 l F) (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 (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) 1/840) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 F F)) (-.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/30) (*.f64 -1/6 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4))))) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/72) F) (/.f64 (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 (pow.f64 l 7) (+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 F F)) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 (pow.f64 (PI.f64) 5) 1/6))) (/.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 6)) 1/72) (*.f64 F F))) (*.f64 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)) -1/840)) (neg.f64 (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 (PI.f64) (/.f64 l (*.f64 F F)))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 -1 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (*.f64 F (cos.f64 (*.f64 l (PI.f64))))))

eval341.0ms (3%)

Compiler

Compiled 19664 to 8940 computations (54.5% saved)

prune198.0ms (1.8%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New81519834
Fresh10111
Picked101
Done224
Total82822850
Error
0.0b
Counts
850 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
✓11.7b
(*.f64 l (PI.f64))
29.4b
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
20.8b
(fma.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
51.5b
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
42.1b
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
21.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
▶31.5b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
▶55.8b
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
▶12.6b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
20.0b
(-.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
21.8b
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
26.6b
(*.f64 l (-.f64 (PI.f64) (pow.f64 (/.f64 (*.f64 F F) (PI.f64)) -1)))
20.0b
(-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
20.1b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
15.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
▶24.8b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
✓26.6b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
21.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
21.8b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F)))
43.1b
(-.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
56.2b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
▶45.1b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
Compiler

Compiled 602 to 421 computations (30.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 l (PI.f64))
✓0.6b
(cbrt.f64 (*.f64 l (PI.f64)))
✓0.8b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite81.0ms (0.7%)

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))) (pow.f64 (cbrt.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 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2) (*.f64 (cbrt.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 l) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.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) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (cbrt.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 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.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 expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 expm1.f64 (log1p.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 exp.f64 (log.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))))

simplify43.0ms (0.4%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 l (PI.f64))
✓2.5b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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)

rewrite68.0ms (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
221515
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 l (PI.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l (PI.f64) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 l (PI.f64) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 l (PI.f64) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 l (PI.f64) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 l (PI.f64)) 2) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (-.f64 1 (*.f64 (fma.f64 l (PI.f64) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (+.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1) (-.f64 (fma.f64 l (PI.f64) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) (+.f64 (*.f64 l (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 l (PI.f64) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 l (PI.f64) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1)) (fma.f64 l (PI.f64) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 l (PI.f64) -1) (fma.f64 l (PI.f64) -1))) (-.f64 1 (fma.f64 l (PI.f64) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))

simplify313.0ms (2.8%)

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))

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 l (PI.f64))
✓9.4b
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
Compiler

Compiled 29 to 16 computations (44.8% saved)

series6.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

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

rewrite86.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116911
2213211
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 1 (/.f64 F (/.f64 (PI.f64) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 l (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) (pow.f64 (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 2) (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (neg.f64 (PI.f64))) (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l F) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) F) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) F) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l 1) (/.f64 (PI.f64) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 l (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (*.f64 F F)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 F 4))) (/.f64 l (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 l) (PI.f64)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 l (PI.f64)) 3) (pow.f64 (*.f64 F F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (*.f64 (PI.f64) (pow.f64 F -2)))))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize54.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 l (PI.f64))
✓0.3b
(pow.f64 (*.f64 l (PI.f64)) 3)
✓40.5b
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series15.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
10.0ms
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)
1.0ms
l
@0
(cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))

rewrite87.0ms (0.8%)

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
2150413
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 (cbrt.f64 (*.f64 l l)) (*.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) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 l (PI.f64)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 (PI.f64) (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 l (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (*.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (*.f64 (sqrt.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 l (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 3/2) (pow.f64 (*.f64 l (PI.f64)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 3) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) l) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (PI.f64)) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) 1) (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) 2) (sqrt.f64 (*.f64 l (PI.f64)))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 l (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 l (PI.f64)))))))))

simplify198.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
974×unswap-sqr_binary64
771×sqr-pow_binary64
515×fma-def_binary64
473×cube-prod_binary64
398×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
013220
136220
2101220
3269220
4819184
51433184
62928184
73054184
83376184
93698184
103971184
114211184
124507184
134857184
145740184
156269184
166955184
177263184
187627184
197961184
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 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 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 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 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)

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (PI.f64) (pow.f64 F -2))
✓0.6b
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
✓4.6b
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
✓12.2b
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
Compiler

Compiled 53 to 35 computations (34% saved)

series10.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
F
@0
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
1.0ms
F
@inf
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
1.0ms
F
@-inf
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
1.0ms
F
@0
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
1.0ms
F
@inf
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))

rewrite186.0ms (1.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
126647
2309147
Stop Event
1×node limit
Counts
4 → 229
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3))
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
(pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)
(*.f64 (PI.f64) (pow.f64 F -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 (neg.f64 (PI.f64)) (pow.f64 F -2) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))) 1 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) (cbrt.f64 (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2))) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2)))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1 (neg.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 F) -2) (PI.f64)) (cbrt.f64 (pow.f64 F -4))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 F) -2) (PI.f64))) (cbrt.f64 (pow.f64 F -4)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 F) -2) (PI.f64)) (cbrt.f64 (pow.f64 F -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (PI.f64) (neg.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 F) -2) (PI.f64)) (cbrt.f64 (pow.f64 F -4))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 F) -2) (PI.f64))) (cbrt.f64 (pow.f64 F -4)) (*.f64 (*.f64 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(PI.f64) (-.f64 1 (pow.f64 F -2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2) (*.f64 (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64))) (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2) (PI.f64) (*.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 F -2))) 2) (*.f64 (pow.f64 F -2) (neg.f64 (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 F) (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 F -6) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 F -4) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 F -6) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 1))))))

simplify121.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
832×associate-/l*_binary64
762×fma-neg_binary64
562×associate-/r*_binary64
518×associate-*l/_binary64
374×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491098
1149937
2505872
32181869
Stop Event
1×node limit
Counts
289 → 257
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
Outputs
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) (neg.f64 l))
(*.f64 (PI.f64) (neg.f64 (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(-.f64 (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(-.f64 (/.f64 (*.f64 3 (pow.f64 (PI.f64) 3)) (pow.f64 F 4)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) -3) (*.f64 F F)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (/.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (pow.f64 F 6))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (+.f64 (-.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3)) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (-.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (*.f64 (+.f64 (/.f64 -1 (pow.f64 F 6)) 1) (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))
(+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 3 (pow.f64 (PI.f64) 3)) (pow.f64 F 4)))
(+.f64 (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (+.f64 (-.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3)) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (-.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (*.f64 (+.f64 (/.f64 -1 (pow.f64 F 6)) 1) (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))
(fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))
(+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 3 (pow.f64 (PI.f64) 3)) (pow.f64 F 4)))
(+.f64 (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (+.f64 (pow.f64 (PI.f64) 3) (*.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))))))
(fma.f64 2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (+.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 -1 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) (pow.f64 (PI.f64) 3)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6)))))))
(+.f64 (+.f64 (-.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3)) (*.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (-.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 6))))
(fma.f64 3 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 4)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)) -3 (*.f64 (+.f64 (/.f64 -1 (pow.f64 F 6)) 1) (pow.f64 (PI.f64) 3))))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (*.f64 F F))

eval325.0ms (2.9%)

Compiler

Compiled 8964 to 5424 computations (39.5% saved)

prune154.0ms (1.4%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New52810538
Fresh9615
Picked101
Done336
Total54119560
Error
0.0b
Counts
560 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓11.7b
(*.f64 l (PI.f64))
29.4b
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
20.8b
(fma.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
51.5b
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
21.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
▶12.1b
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
▶51.6b
(*.f64 -1 (pow.f64 (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)) -1))
51.5b
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
42.1b
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
51.5b
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
▶56.2b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
56.2b
(*.f64 -1 (*.f64 (pow.f64 F -2) (*.f64 l (PI.f64))))
55.8b
(*.f64 (PI.f64) (neg.f64 (/.f64 l (*.f64 F F))))
▶12.5b
(*.f64 (cbrt.f64 l) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
▶21.8b
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
42.1b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
✓24.8b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
✓26.6b
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
56.2b
(*.f64 -1 (*.f64 l (/.f64 1 (/.f64 F (/.f64 (PI.f64) F)))))
Compiler

Compiled 429 to 315 computations (26.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts
3 → 12
Calls

3 calls:

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

rewrite53.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
114712
2142912
Stop Event
1×node limit
Counts
3 → 50
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3) (pow.f64 (pow.f64 (PI.f64) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x PI.f64)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))))

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0460
1560
Stop Event
1×saturated
Counts
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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
✓9.7b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series177.0ms (1.6%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
174.0ms
F
@0
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
1.0ms
l
@0
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
0.0ms
F
@inf
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
0.0ms
F
@0
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
0.0ms
F
@inf
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))

rewrite54.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
117219
2250119
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 F (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F F) (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) 1) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (cbrt.f64 (pow.f64 F 4))) (pow.f64 (cbrt.f64 F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) F) l) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l (PI.f64))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 F -2)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 l (PI.f64)) (pow.f64 F -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) (pow.f64 F -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (*.f64 F F)) (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) F) (/.f64 (cbrt.f64 (PI.f64)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 F) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (/.f64 (PI.f64) F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (PI.f64) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 F F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (pow.f64 F -2))))))))

simplify77.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
984×fma-def_binary64
851×div-sub_binary64
629×times-frac_binary64
354×associate-/l*_binary64
345×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012432
128432
273432
3208432
4738432
53501432
64500432
76021432
86991432
Stop Event
1×node limit
Counts
96 → 64
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 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
Outputs
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F))
(*.f64 (PI.f64) (/.f64 (neg.f64 l) (*.f64 F F)))
(*.f64 l (/.f64 (neg.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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -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 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 29 to 7 computations (75.9% saved)

series9.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite98.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
118031
2273831
Stop Event
1×node limit
Counts
3 → 247
Calls
Call 1
Inputs
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(/.f64 (/.f64 l F) F)
(-.f64 l (/.f64 (/.f64 l F) F))
Outputs
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(pow.f64 (/.f64 (sqrt.f64 l) F) 4)) (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 l) F)) (-.f64 (sqrt.f64 l) (/.f64 (sqrt.f64 l) F)) (+.f64 (/.f64 (neg.f64 l) (*.f64 F F)) (*.f64 l (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 l) F) 4))) (cbrt.f64 (*.f64 l (pow.f64 F -2))) l)))))

simplify101.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
907×fma-neg_binary64
496×associate-/r*_binary64
456×associate-/l/_binary64
401×div-sub_binary64
346×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025832
164832
2172706
3520706
41639706
54178706
66498706
77950706
Stop Event
1×node limit
Counts
319 → 263
Calls
Call 1
Inputs
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
Outputs
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 l) (/.f64 F (/.f64 (PI.f64) F)))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 (*.f64 l (PI.f64)) (*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (*.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) (PI.f64)))
(*.f64 (PI.f64) (*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(/.f64 l (pow.f64 F 2))
(/.f64 l (*.f64 F F))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(neg.f64 (/.f64 l (*.f64 F F)))
(/.f64 (neg.f64 l) (*.f64 F F))
(/.f64 (/.f64 (neg.f64 l) F) F)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(*.f64 l (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 F (PI.f64)) (/.f64 F l))
✓0.3b
(/.f64 F (PI.f64))
✓0.4b
(pow.f64 (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)) -1)
Compiler

Compiled 39 to 13 computations (66.7% saved)

series8.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite82.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
545×log-prod_binary64
407×exp-prod_binary64
357×pow-prod-down_binary64
266×pow2_binary64
217×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
119927
2280927
Stop Event
1×node limit
Counts
3 → 154
Calls
Call 1
Inputs
(pow.f64 (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)) -1)
(/.f64 F (PI.f64))
(*.f64 (/.f64 F (PI.f64)) (/.f64 F l))
Outputs
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egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 F F) l) (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F (sqrt.f64 (*.f64 (PI.f64) l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 F F) l) (PI.f64))) 1) 1))))))

simplify131.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
639×associate-/l/_binary64
566×*-commutative_binary64
470×sqr-pow_binary64
467×associate-/r/_binary64
442×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09528
119528
243528
395528
4277528
51090528
64232528
75055528
85265528
95484528
105712528
116037528
126753528
137230528
147802528
Stop Event
1×node limit
Counts
202 → 158
Calls
Call 1
Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))
(/.f64 (*.f64 F F) (*.f64 l (PI.f64)))
(*.f64 (/.f64 F l) (/.f64 F (PI.f64)))
(*.f64 F (/.f64 F (*.f64 l (PI.f64))))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
0.6b
(cbrt.f64 (*.f64 l (PI.f64)))
0.6b
(cbrt.f64 l)
✓1.0b
(cbrt.f64 (PI.f64))
Compiler

Compiled 43 to 17 computations (60.5% saved)

series2.0ms (0%)

Counts
2 → 0
Calls

3 calls:

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

rewrite51.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
632×pow1_binary64
583×add-log-exp_binary64
583×log1p-expm1-u_binary64
583×expm1-log1p-u_binary64
567×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
115814
2168814
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) l) 1/6) (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) l)))))))))

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
37 → 37
Calls
Call 1
Inputs
Outputs

eval198.0ms (1.8%)

Compiler

Compiled 11869 to 5598 computations (52.8% saved)

prune124.0ms (1.1%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New6299638
Fresh6511
Picked011
Done257
Total63720657
Error
0b
Counts
657 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓11.7b
(*.f64 l (PI.f64))
29.4b
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
20.8b
(fma.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
56.2b
(*.f64 l (*.f64 (/.f64 -1 F) (/.f64 (PI.f64) F)))
21.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
✓12.1b
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
21.8b
(*.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 l F) (/.f64 1 F))))
51.6b
(*.f64 -1 (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
51.5b
(*.f64 -1 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
51.5b
(*.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F))
✓21.8b
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
✓56.2b
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
12.5b
(*.f64 (cbrt.f64 l) (*.f64 (-.f64 (+.f64 1 (cbrt.f64 (PI.f64))) 1) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
✓12.5b
(*.f64 (cbrt.f64 l) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
42.1b
(*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))
✓24.8b
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
42.1b
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
56.2b
(*.f64 -1 (*.f64 (/.f64 1 (*.f64 F (/.f64 F (PI.f64)))) l))
51.5b
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
55.8b
(*.f64 (PI.f64) (neg.f64 (/.f64 l (*.f64 F F))))
Compiler

Compiled 243 to 179 computations (26.3% saved)

regimes689.0ms (6.2%)

Counts
56 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F))
(*.f64 (PI.f64) (neg.f64 (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 l (*.f64 (/.f64 -1 F) (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 -1 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 l F) (/.f64 1 F))))
(*.f64 -1 (*.f64 (/.f64 1 (*.f64 F (/.f64 F (PI.f64)))) l))
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
(*.f64 -1 (*.f64 l (/.f64 1 (/.f64 F (/.f64 (PI.f64) F)))))
(*.f64 -1 (*.f64 (pow.f64 F -2) (*.f64 l (PI.f64))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 -1 (pow.f64 (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)) -1))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(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 l (-.f64 (PI.f64) (pow.f64 (/.f64 (*.f64 F F) (PI.f64)) -1)))
(-.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 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 l (cbrt.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 F -2))) 3)))
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 3) (*.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 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (cbrt.f64 l) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(*.f64 (cbrt.f64 l) (*.f64 (-.f64 (+.f64 1 (cbrt.f64 (PI.f64))) 1) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 l l))) (cbrt.f64 l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(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))))
(-.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) 4)) l) (fma.f64 (PI.f64) (pow.f64 F -2) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 2) (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 2)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)))))
(fma.f64 (*.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 l)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 l) 2)))) (cbrt.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:

118.0ms
F
109.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
107.0ms
l
103.0ms
(*.f64 (PI.f64) l)
91.0ms
(*.f64 (PI.f64) l)
Results
ErrorSegmentsBranch
8.1b3F
0.3b3l
5.9b3(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
0.3b3(*.f64 (PI.f64) l)
0.3b3(*.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 743 to 313 computations (57.9% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.3240422575189175e-15
2.693914798876352e-10
0.0ms
-3.889370324600997e+29
-1.1623872046025863e+24
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes385.0ms (3.4%)

Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F))
(*.f64 (PI.f64) (neg.f64 (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 l (*.f64 (/.f64 -1 F) (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 -1 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 l F) (/.f64 1 F))))
(*.f64 -1 (*.f64 (/.f64 1 (*.f64 F (/.f64 F (PI.f64)))) l))
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
(*.f64 -1 (*.f64 l (/.f64 1 (/.f64 F (/.f64 (PI.f64) F)))))
(*.f64 -1 (*.f64 (pow.f64 F -2) (*.f64 l (PI.f64))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 -1 (pow.f64 (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)) -1))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 2)
(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 l (-.f64 (PI.f64) (pow.f64 (/.f64 (*.f64 F F) (PI.f64)) -1)))
Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
(*.f64 l (PI.f64))
Calls

5 calls:

129.0ms
(*.f64 (PI.f64) l)
89.0ms
(*.f64 F F)
85.0ms
l
47.0ms
F
26.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
10.5b3F
0.3b3l
0.3b3(*.f64 (PI.f64) l)
10.3b3(*.f64 F F)
10.3b3(*.f64 F F)
Compiler

Compiled 303 to 139 computations (54.1% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.3240422575189175e-15
2.693914798876352e-10
0.0ms
-3.889370324600997e+29
-1.1623872046025863e+24
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes137.0ms (1.2%)

Counts
22 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F))
(*.f64 (PI.f64) (neg.f64 (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 l (*.f64 (/.f64 -1 F) (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 -1 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 l F) (/.f64 1 F))))
(*.f64 -1 (*.f64 (/.f64 1 (*.f64 F (/.f64 F (PI.f64)))) l))
(*.f64 -1 (*.f64 (/.f64 1 F) (/.f64 (*.f64 l (PI.f64)) F)))
(*.f64 -1 (*.f64 l (/.f64 1 (/.f64 F (/.f64 (PI.f64) F)))))
(*.f64 -1 (*.f64 (pow.f64 F -2) (*.f64 l (PI.f64))))
(*.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 -1 (pow.f64 (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)) -1))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
Outputs
(*.f64 l (PI.f64))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (PI.f64))
Calls

4 calls:

43.0ms
l
38.0ms
(*.f64 F F)
30.0ms
F
20.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
10.5b3F
0.3b3l
10.3b3(*.f64 F F)
10.3b3(*.f64 F F)
Compiler

Compiled 218 to 100 computations (54.1% saved)

bsearch216.0ms (1.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
73.0ms
7.397656264771666e-16
8.57499713019161e-11
142.0ms
-1.2380250253503564e+29
-3.6999933879854384e+23
Compiler

Compiled 183 to 131 computations (28.4% saved)

regimes78.0ms (0.7%)

Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(-.f64 (+.f64 1 (*.f64 l (PI.f64))) 1)
(*.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F))
(*.f64 (PI.f64) (neg.f64 (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) (neg.f64 (/.f64 (/.f64 l F) F)))
(*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(*.f64 l (*.f64 (/.f64 -1 F) (/.f64 (PI.f64) F)))
(*.f64 -1 (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 -1 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
Outputs
(*.f64 l (PI.f64))
(*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
Calls

4 calls:

20.0ms
(*.f64 F F)
19.0ms
l
19.0ms
F
16.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
10.5b3F
9.0b3l
10.3b3(*.f64 F F)
10.3b3(*.f64 F F)
Compiler

Compiled 105 to 51 computations (51.4% saved)

bsearch103.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
69.0ms
7.397656264771666e-16
8.57499713019161e-11
34.0ms
-8.274587204353552e-249
-1.0576481273421834e-258
Compiler

Compiled 183 to 140 computations (23.5% saved)

regimes62.0ms (0.6%)

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

4 calls:

18.0ms
F
15.0ms
l
14.0ms
(*.f64 F F)
11.0ms
(*.f64 F F)
Results
ErrorSegmentsBranch
10.5b3F
9.0b3l
10.3b3(*.f64 F F)
10.3b3(*.f64 F F)
Compiler

Compiled 87 to 46 computations (47.1% saved)

bsearch89.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
65.0ms
7.397656264771666e-16
8.57499713019161e-11
24.0ms
-8.274587204353552e-249
-1.0576481273421834e-258
Compiler

Compiled 174 to 131 computations (24.7% saved)

regimes8.0ms (0.1%)

Accuracy

Total -13.1b remaining (-111.8%)

Threshold costs -13.1b (-111.8%)

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

2 calls:

4.0ms
F
3.0ms
l
Results
ErrorSegmentsBranch
11.7b1F
11.7b1l
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
17×+-commutative_binary64
17×sub-neg_binary64
15×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048212
176212
2107212
3141212
4165212
5175212
6178212
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) -199999999999999982866301714432) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 2535301200456459/633825300114114700748351602688) (-.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) -199999999999999982866301714432) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 2535301200456459/633825300114114700748351602688) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F))) (*.f64 l (PI.f64))))
(if (<=.f64 l -123802502535035640483762143232) (*.f64 l (PI.f64)) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) (*.f64 l (PI.f64))))
(if (<=.f64 l -4168910186257491/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 l (PI.f64)) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))))
(if (<=.f64 l -4168910186257491/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 l (PI.f64)) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (*.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F)) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) -199999999999999982866301714432) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 2535301200456459/633825300114114700748351602688) (-.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) -199999999999999982866301714432) (*.f64 (PI.f64) l) (if (<=.f64 (*.f64 (PI.f64) l) 2535301200456459/633825300114114700748351602688) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) -199999999999999982866301714432) (*.f64 l (PI.f64)) (if (<=.f64 (*.f64 (PI.f64) l) 2535301200456459/633825300114114700748351602688) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) -199999999999999982866301714432) (*.f64 (PI.f64) l) (if (<=.f64 (*.f64 (PI.f64) l) 2535301200456459/633825300114114700748351602688) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 1 F))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) -199999999999999982866301714432) (*.f64 (PI.f64) l) (if (<=.f64 (*.f64 (PI.f64) l) 2535301200456459/633825300114114700748351602688) (+.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 -1 F))) (*.f64 (PI.f64) l)))
(if (<=.f64 l -123802502535035640483762143232) (*.f64 l (PI.f64)) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) (*.f64 l (PI.f64))))
(if (<=.f64 l -123802502535035640483762143232) (*.f64 (PI.f64) l) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) (*.f64 (PI.f64) l)))
(if (<=.f64 l -4168910186257491/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 l (PI.f64)) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (*.f64 -1 (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64))))
(if (<=.f64 l -4168910186257491/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 (PI.f64) l) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (neg.f64 (*.f64 (/.f64 l F) (/.f64 (PI.f64) F))) (*.f64 (PI.f64) l)))
(if (<=.f64 l -4168910186257491/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 (PI.f64) l) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (*.f64 (/.f64 (PI.f64) F) (/.f64 (neg.f64 l) F)) (*.f64 (PI.f64) l)))
(if (<=.f64 l -4168910186257491/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 l (PI.f64)) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (*.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F)) (*.f64 l (PI.f64))))
(if (<=.f64 l -4168910186257491/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136) (*.f64 (PI.f64) l) (if (<=.f64 l 237684487542793/316912650057057350374175801344) (*.f64 (PI.f64) (/.f64 (/.f64 (neg.f64 l) F) F)) (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
Compiler

Compiled 143 to 75 computations (47.6% saved)

soundness55.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
12520
25720
313920
423620
537520
650120
764120
883320
9110320
10115720
Stop Event
1×saturated
Compiler

Compiled 46 to 28 computations (39.1% saved)

end57.0ms (0.5%)

Compiler

Compiled 133 to 53 computations (60.2% saved)

Profiling

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