Details

Time bar (total: 18.7s)

sample53.0ms

Algorithm
intervals
Results
15.0ms34×body1280valid
11.0ms155×body80valid
9.0ms29×body640valid
5.0ms23×body320valid
2.0ms15×body160valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
2126
3166
4176
done176

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
15.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* x (/ (sin y) y))
28.0ms
(/ (sin y) y)

simplify5.2s

Counts
65 → 65
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
098571
1208545
2562493
31529493
44620493
done5000493

prune186.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (sin y) y) x)
0.2b
(/ (sin y) y)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
31.0ms
(* (/ (sin y) y) x)
10.0ms
(/ (sin y) y)

series100.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (/ (sin y) y) x)
43.0ms
(/ (sin y) y)

simplify4.7s

Counts
65 → 65
Iterations

Useful iterations: 2 (125.0ms)

IterNodesCost
0100554
1215540
2589486
31663486
done5000486

prune197.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))
0.4b
(cbrt (/ (sin y) y))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
61.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
5.0ms
(cbrt (/ (sin y) y))
5.0ms
(cbrt (/ (sin y) y))
5.0ms
(cbrt (/ (sin y) y))

series773.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
173.0ms
(cbrt (/ (sin y) y))
201.0ms
(cbrt (/ (sin y) y))
180.0ms
(cbrt (/ (sin y) y))

simplify3.2s

Counts
156 → 156
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01672201
12942074
27411992
314421895
435181777
done50001645

prune638.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
5.2b
(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
9×pow1 cbrt-undiv cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×1-exp
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×frac-times associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 78
Calls
4 calls:
3.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
88.0ms
(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

series541.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (sin y))
160.0ms
(cbrt (sin y))
174.0ms
(cbrt (sin y))
62.0ms
(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

simplify2.4s

Counts
90 → 90
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01291385
13241185
21169722
done5001571

prune296.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes2.0ms