Details

Time bar (total: 18.8s)

sample55.0ms

Algorithm
intervals
Results
15.0ms34×body1280valid
11.0ms155×body80valid
9.0ms29×body640valid
6.0ms23×body320valid
2.0ms15×body160valid

simplify10.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
28.0ms
(* x (/ (sin y) y))
11.0ms
(/ (sin y) y)

series106.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* x (/ (sin y) y))
29.0ms
(/ (sin y) y)

simplify4.4s

Counts
69 → 69
Iterations

Useful iterations: 3 (477.0ms)

IterNodesCost
0102595
1213568
2568516
31586514
44787514
done5001514

prune199.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
18.0ms
(* (/ (sin y) y) x)
15.0ms
(/ (sin y) y)

series91.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (/ (sin y) y) x)
32.0ms
(/ (sin y) y)

simplify4.6s

Counts
69 → 69
Iterations

Useful iterations: 3 (590.0ms)

IterNodesCost
0104578
1220563
2605509
31716507
done5001507

prune241.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

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))

rewrite62.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
Calls
4 calls:
42.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms
(cbrt (/ (sin y) y))
2.0ms
(cbrt (/ (sin y) y))
3.0ms
(cbrt (/ (sin y) y))

series913.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
197.0ms
(cbrt (/ (sin y) y))
211.0ms
(cbrt (/ (sin y) y))
224.0ms
(cbrt (/ (sin y) y))

simplify3.6s

Counts
164 → 164
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01712261
13002130
27652048
315091944
437451821
done50001687

prune712.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))

rewrite106.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 86
Calls
4 calls:
1.0ms
(cbrt (sin y))
8.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))
91.0ms
(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

series522.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (sin y))
147.0ms
(cbrt (sin y))
168.0ms
(cbrt (sin y))
55.0ms
(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

simplify2.9s

Counts
98 → 98
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01331445
13291238
21175763
done5000605

prune233.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes2.0ms