Details

sample44.0ms

Algorithm

intervals

Results

9.0ms	30×	body	1280	valid
9.0ms	170×	body	80	valid
8.0ms	32×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	12×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 63

Calls

2 calls:

23.0ms	(* x (/ (sin y) y))
6.0ms	(/ (sin y) y)

series91.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify716.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1002
1	237
0	102

prune375.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 63

Calls

2 calls:

20.0ms	(* (/ (sin y) y) x)
10.0ms	(/ (sin y) y)

series99.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* (/ (sin y) y) x)
46.0ms	(/ (sin y) y)

simplify958.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1139
1	239
0	104

prune471.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`div-exp` `pow-prod-down` `associate-*r/`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`div-inv`

Counts

2 → 64

Calls

2 calls:

23.0ms	(* x (* (sin y) (/ 1 y)))
14.0ms	(* (sin y) (/ 1 y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* x (* (sin y) (/ 1 y)))
34.0ms	(* (sin y) (/ 1 y))

simplify3.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	2459
1	298
0	117

prune300.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize52.0ms

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))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
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-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

34.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
3.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))

series793.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
183.0ms	(cbrt (/ (sin y) y))
175.0ms	(cbrt (/ (sin y) y))
209.0ms	(cbrt (/ (sin y) y))

simplify1.2s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	1376
1	333
0	171

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes246.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	7

end0.0ms

sample2.0s

Algorithm

intervals

Results

761.0ms	935×	body	1280	valid
456.0ms	5186×	body	80	valid
311.0ms	1011×	body	640	valid
105.0ms	540×	body	320	valid
42.0ms	328×	body	160	valid