Details

Time bar (total: 16.5s)

sample406.0ms

Algorithm
intervals
Results
144.0ms30×body2560valid
141.0ms59×body1280valid
21.0ms27×body640valid
18.0ms131×body80valid
6.0ms14×body320valid
4.0ms12×body160valid

simplify200.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01014
11814
23914
37614
411414
513614
614214
done14214

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.9b
(/ 1.0 (* F F))
3.9b
(* (/ 1.0 (* F F)) (tan (* PI l)))
33.2b
(tan (* PI l))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow1
7×times-frac
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×tan-quot associate-/l* unswap-sqr
2×pow-prod-down *-commutative div-inv
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls
4 calls:
15.0ms
(* PI l)
17.0ms
(/ 1.0 (* F F))
68.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
12.0ms
(tan (* PI l))

series344.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* PI l)
44.0ms
(/ 1.0 (* F F))
167.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
109.0ms
(tan (* PI l))

simplify3.2s

Counts
89 → 89
Iterations

Useful iterations: 2 (207.0ms)

IterNodesCost
0135872
1305854
21001722
33970722
done5001722

prune332.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (/ (sqrt 1.0) F) (tan (* PI l)))
33.2b
(tan (* PI l))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
28×associate-*l*
22×add-cube-cbrt *-un-lft-identity
20×times-frac
13×add-exp-log add-cbrt-cube
10×pow1 sqrt-prod
9×associate-*r*
5×unswap-sqr
4×prod-exp cbrt-unprod add-log-exp
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 88
Calls
4 calls:
12.0ms
(* PI l)
7.0ms
(* PI l)
53.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
9.0ms
(tan (* PI l))

series479.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* PI l)
43.0ms
(* PI l)
288.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
122.0ms
(tan (* PI l))

simplify2.5s

Counts
100 → 100
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0134900
1297877
2822797
32714797
done5000792

prune522.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 13.8b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt F)
0.6b
(cbrt F)
0.6b
(cbrt F)
33.2b
(tan (* PI l))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
1×tan-quot
Counts
4 → 41
Calls
4 calls:
2.0ms
(cbrt F)
2.0ms
(cbrt F)
2.0ms
(cbrt F)
17.0ms
(tan (* PI l))

series963.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt F)
304.0ms
(cbrt F)
295.0ms
(cbrt F)
106.0ms
(tan (* PI l))

simplify2.3s

Counts
53 → 53
Iterations

Useful iterations: done (2.3s)

IterNodesCost
051294
1101282
2236256
3670247
42501247
done5000245

prune430.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 13.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* PI l))
0.6b
(cbrt (* PI l))
0.6b
(cbrt (* PI l))
33.0b
(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-prod pow1/3
1×tan-quot
Counts
4 → 35
Calls
4 calls:
7.0ms
(cbrt (* PI l))
7.0ms
(cbrt (* PI l))
7.0ms
(cbrt (* PI l))
115.0ms
(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

series1.1s

Counts
4 → 12
Calls
4 calls:
339.0ms
(cbrt (* PI l))
328.0ms
(cbrt (* PI l))
335.0ms
(cbrt (* PI l))
109.0ms
(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

simplify3.0s

Counts
47 → 47
Iterations

Useful iterations: done (3.0s)

IterNodesCost
059486
1119483
2246346
3690298
42563271
done5000269

prune268.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 13.8b

regimes7.0ms