Details

sample41.0ms

Algorithm

intervals

Results

10.0ms	34×	body	1280	valid
8.0ms	155×	body	80	valid
6.0ms	29×	body	640	valid
4.0ms	23×	body	320	valid
2.0ms	15×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

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)

rewrite36.0ms

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:

25.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series107.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* x (/ (sin y) y))
29.0ms	(/ (sin y) y)

simplify4.5s

Counts

65 → 65

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	98	571
1	208	545
2	562	493
3	1529	493
4	4620	493
done	5000	493

prune158.0ms

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)

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:

27.0ms	(* (/ (sin y) y) x)
15.0ms	(/ (sin y) y)

series101.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* (/ (sin y) y) x)
33.0ms	(/ (sin y) y)

simplify4.2s

Counts

65 → 65

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	100	554
1	215	540
2	589	486
3	1663	486
done	5000	486

prune141.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))

rewrite44.0ms

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:

27.0ms	(* (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))

series731.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
178.0ms	(cbrt (/ (sin y) y))
168.0ms	(cbrt (/ (sin y) y))
175.0ms	(cbrt (/ (sin y) y))

simplify2.7s

Counts

156 → 156

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	167	2201
1	294	2074
2	741	1992
3	1442	1895
4	3518	1777
done	5000	1645

prune610.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

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))

rewrite94.0ms

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))
3.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
80.0ms	(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

series431.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (sin y))
130.0ms	(cbrt (sin y))
116.0ms	(cbrt (sin y))
50.0ms	(* (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (* (/ (cbrt (sin y)) y) x))

simplify2.4s

Counts

90 → 90

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	129	1385
1	324	1185
2	1169	722
done	5001	571

prune242.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

951.0ms	960×	body	1280	valid
530.0ms	5206×	body	80	valid
387.0ms	959×	body	640	valid
119.0ms	563×	body	320	valid
45.0ms	312×	body	160	valid