Details

Time bar (total: 8.5s)

analyze969.0ms (11.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.2%0.1%7
18.7%81.2%0.1%8
29.7%69.5%0.9%9
30.4%67.9%1.7%10
36.3%61.1%2.6%11
36.9%59.5%3.6%12
39.9%55.9%4.2%13
40.2%54.9%4.9%14
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample215.0ms (2.5%)

Algorithm
1×intervals
Results
31.0ms33×body2048valid
14.0ms48×body1024valid
11.0ms149×body128valid
8.0ms2×body4096valid
3.0ms15×body512valid
1.0ms9×body256valid
0.0ms3×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify22.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
297×fma-def_binary64
157×fma-neg_binary64
50×cancel-sign-sub-inv_binary64
37×associate-/l*_binary64
33×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
12520
25020
312120
418120
524720
632120
738420
847020
948320
1050920
1146220

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
16.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
▶16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Compiler

Compiled 88 to 48 computations (45.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓0.3b
(*.f64 (PI.f64) l)
✓4.5b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓25.9b
(tan.f64 (*.f64 (PI.f64) l))

series113.0ms (1.3%)

Counts
4 → 60
Calls

4 calls:

55.0ms
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
40.0ms
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
13.0ms
(tan.f64 (*.f64 (PI.f64) l))
5.0ms
(*.f64 (PI.f64) l)

rewrite17.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64
12×add-cube-cbrt_binary64
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
Counts
4 → 82
Calls

4 calls:

5.0ms
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
5.0ms
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
3.0ms
(*.f64 (PI.f64) l)
1.0ms
(tan.f64 (*.f64 (PI.f64) l))

simplify157.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
782×times-frac_binary64
624×fma-def_binary64
610×associate-/l*_binary64
223×fma-neg_binary64
147×cancel-sign-sub-inv_binary64
Counts
142 → 122
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01923051
14782877
215442771
349222768
448812768

prune205.0ms (2.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New12419143
Fresh011
Picked101
Done000
Total12520145
Error
11.3b
Counts
145 → 20
Alt Table
StatusErrorProgram
40.2b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
21.5b
(-.f64 (*.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
42.1b
(-.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
40.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))
16.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l))) (*.f64 F F)))
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
42.1b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
11.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
16.7b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
11.7b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)))
45.4b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.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))))))
16.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
30.3b
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
26.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) (*.f64 F F)))
▶11.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
16.7b
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
16.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) l))) (*.f64 F F)))
16.1b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
16.2b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
34.4b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) (*.f64 F F)))
Compiler

Compiled 4022 to 1253 computations (68.8% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓0.3b
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
0.3b
(*.f64 (PI.f64) l)
25.9b
(tan.f64 (*.f64 (PI.f64) l))

series147.0ms (1.7%)

Counts
2 → 48
Calls

2 calls:

88.0ms
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
59.0ms
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

rewrite16.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/l*_binary64
Counts
2 → 102
Calls

2 calls:

6.0ms
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
3.0ms
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

simplify228.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
699×times-frac_binary64
602×unswap-sqr_binary64
440×associate-/l/_binary64
422×associate-/l*_binary64
359×associate-/r*_binary64
Counts
150 → 164
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01913604
14303466
29863390
336793366
441973361
551413361

prune548.0ms (6.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New2177224
Fresh61319
Picked101
Done000
Total22420244
Error
11.3b
Counts
244 → 20
Alt Table
StatusErrorProgram
30.3b
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
11.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) F))
42.1b
(-.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
40.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))
16.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l))) (*.f64 F F)))
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
49.5b
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (log.f64 F))))
16.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) l))) (*.f64 F F)))
35.6b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
22.2b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))) F) F))
▶11.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
42.1b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
11.5b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
36.1b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 1 (sqrt.f64 F)) (sqrt.f64 F)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)) (sqrt.f64 F))))
45.4b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.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))))))
21.5b
(-.f64 (*.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
16.7b
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
11.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l)))) F) F))
16.7b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
34.4b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) (*.f64 F F)))
Compiler

Compiled 5679 to 1674 computations (70.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.3b
(*.f64 (PI.f64) l)
✓0.3b
(/.f64 1 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
25.9b
(tan.f64 (*.f64 (PI.f64) l))

series172.0ms (2%)

Counts
2 → 48
Calls

2 calls:

112.0ms
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
60.0ms
(/.f64 1 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))

rewrite11.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
25×add-exp-log_binary64
13×add-cbrt-cube_binary64
12×*-un-lft-identity_binary64
12×times-frac_binary64
12×add-sqr-sqrt_binary64
Counts
2 → 65
Calls

2 calls:

5.0ms
(/.f64 1 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
3.0ms
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

simplify86.0ms (1%)

Algorithm
1×egg-herbie
Rules
489×associate-*l*_binary64
448×associate-*r*_binary64
389×unswap-sqr_binary64
386×associate-/l*_binary64
386×times-frac_binary64
Counts
113 → 97
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01522341
13312161
210432083
343532083
452632083

prune245.0ms (2.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1543157
Fresh91019
Picked101
Done000
Total16413177
Error
1.2b
Counts
177 → 13
Alt Table
StatusErrorProgram
11.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (*.f64 F (*.f64 F (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))
42.1b
(-.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
40.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))
35.6b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
49.5b
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (log.f64 F))))
11.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) F))
▶1.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (*.f64 F (-.f64 (/.f64 F (*.f64 (PI.f64) l)) (+.f64 (*.f64 1/3 (*.f64 (PI.f64) (*.f64 F l))) (+.f64 (*.f64 2/945 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 l 5) F))) (*.f64 1/45 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F)))))))))
16.7b
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
42.1b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
16.7b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
45.4b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.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))))))
11.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
Compiler

Compiled 3919 to 1520 computations (61.2% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.0b
(pow.f64 (PI.f64) 5)
✓2.2b
(*.f64 F (-.f64 (/.f64 F (*.f64 (PI.f64) l)) (+.f64 (*.f64 1/3 (*.f64 (PI.f64) (*.f64 F l))) (+.f64 (*.f64 2/945 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 l 5) F))) (*.f64 1/45 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F)))))))
✓3.5b
(*.f64 (pow.f64 l 5) F)
✓5.2b
(*.f64 (pow.f64 l 3) F)

series188.0ms (2.2%)

Counts
4 → 48
Calls

4 calls:

155.0ms
(*.f64 F (-.f64 (/.f64 F (*.f64 (PI.f64) l)) (+.f64 (*.f64 1/3 (*.f64 (PI.f64) (*.f64 F l))) (+.f64 (*.f64 2/945 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 l 5) F))) (*.f64 1/45 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F)))))))
20.0ms
(*.f64 (pow.f64 l 5) F)
13.0ms
(*.f64 (pow.f64 l 3) F)
0.0ms
(pow.f64 (PI.f64) 5)

rewrite58.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
59×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64
43×add-cube-cbrt_binary64
42×prod-diff_binary64
25×distribute-lft-in_binary64
Counts
4 → 155
Calls

4 calls:

22.0ms
(*.f64 F (-.f64 (/.f64 F (*.f64 (PI.f64) l)) (+.f64 (*.f64 1/3 (*.f64 (PI.f64) (*.f64 F l))) (+.f64 (*.f64 2/945 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 l 5) F))) (*.f64 1/45 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F)))))))
4.0ms
(*.f64 (pow.f64 l 3) F)
4.0ms
(*.f64 (pow.f64 l 5) F)
3.0ms
(pow.f64 (PI.f64) 5)

simplify282.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
664×times-frac_binary64
462×associate-*l*_binary64
455×associate-*r*_binary64
341×fma-neg_binary64
208×*-commutative_binary64
Counts
203 → 226
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034911271
17338589
232438543
350418543

prune670.0ms (7.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New2224226
Fresh11112
Picked101
Done000
Total22415239
Error
0.7b
Counts
239 → 15
Alt Table
StatusErrorProgram
42.1b
(-.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
40.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))
16.7b
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (cbrt.f64 l)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
16.0b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (*.f64 F (-.f64 (/.f64 F (*.f64 (PI.f64) l)) (+.f64 (*.f64 1/3 (*.f64 (PI.f64) (*.f64 F l))) (+.f64 (*.f64 2/945 (*.f64 (pow.f64 (PI.f64) 5) (exp.f64 (log.f64 (*.f64 F (pow.f64 l 5)))))) (*.f64 1/45 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F)))))))))
16.3b
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
1.7b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (*.f64 F (-.f64 (/.f64 F (*.f64 (PI.f64) l)) (+.f64 (*.f64 1/3 (*.f64 (PI.f64) (*.f64 F l))) (+.f64 (*.f64 2/945 (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) 5) (*.f64 (pow.f64 (cbrt.f64 l) 5) F)))) (*.f64 1/45 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F)))))))))
1.3b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (*.f64 F (-.f64 (/.f64 F (*.f64 (PI.f64) l)) (+.f64 (*.f64 1/3 (*.f64 (PI.f64) (*.f64 F l))) (+.f64 (*.f64 2/945 (*.f64 (pow.f64 (PI.f64) 5) (log1p.f64 (expm1.f64 (*.f64 (pow.f64 l 5) F))))) (*.f64 1/45 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F)))))))))
35.6b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
13.4b
(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (*.f64 (*.f64 F F) (-.f64 (/.f64 1 (*.f64 l (PI.f64))) (fma.f64 (*.f64 l (PI.f64)) 1/3 (fma.f64 1/45 (pow.f64 (*.f64 l (PI.f64)) 3) (*.f64 2/945 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))))))
49.5b
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (-.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (log.f64 F))))
11.8b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) F))
42.1b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
16.7b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (cbrt.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (*.f64 (PI.f64) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
45.4b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) l) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.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))))))
11.5b
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
Compiler

Compiled 20323 to 12179 computations (40.1% saved)

regimes1.3s (15.6%)

Accuracy

Total 0.7b remaining (34.5%)

Threshold costs 0.7b (34.5%)

Counts
168 → 1
Compiler

Compiled 27699 to 16108 computations (41.8% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
29×*-commutative_binary64
22×+-commutative_binary64
20×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03376
15276
26576
38676
412076
515476
618276
720076
820876
920976
1020476

end1.0ms (0%)

Compiler

Compiled 49 to 34 computations (30.6% saved)

sample2.8s (32.4%)

Algorithm
1×intervals
Results
963.0ms1012×body2048valid
571.0ms1825×body1024valid
287.0ms4112×body128valid
199.0ms57×body4096valid
152.0ms703×body512valid
45.0ms291×body256valid
15.0ms167×body128invalid
3.0ms6×body2048invalid
2.0ms4×body8192exit
Compiler

Compiled 520 to 303 computations (41.7% saved)

Profiling

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