Details

sample38.0ms

Algorithm

intervals

Results

9.0ms	30×	body	1280	valid
8.0ms	170×	body	80	valid
6.0ms	32×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	12×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

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)

rewrite36.0ms

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×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 59

Calls

2 calls:

27.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)

series124.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* x (/ (sin y) y))
39.0ms	(/ (sin y) y)

simplify988.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	996
1	232
0	98

prune331.0ms

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)

rewrite24.0ms

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×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 59

Calls

2 calls:

14.0ms	(* (/ (sin y) y) x)
7.0ms	(/ (sin y) y)

series97.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (/ (sin y) y) x)
42.0ms	(/ (sin y) y)

simplify816.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1128
1	234
0	100

prune329.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `add-log-exp`
1×	`div-inv`

Counts

2 → 60

Calls

2 calls:

38.0ms	(* x (* (sin y) (/ 1 y)))
27.0ms	(* (sin y) (/ 1 y))

series123.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* x (* (sin y) (/ 1 y)))
43.0ms	(* (sin y) (/ 1 y))

simplify3.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	2500
1	294
0	113

prune220.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize30.0ms

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))

rewrite50.0ms

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×	`add-cbrt-cube` `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 → 144

Calls

4 calls:

33.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))

series778.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
166.0ms	(cbrt (/ (sin y) y))
163.0ms	(cbrt (/ (sin y) y))
219.0ms	(cbrt (/ (sin y) y))

simplify1.1s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	1373
1	327
0	167

prune946.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes322.0ms

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

sample1.9s

Algorithm

intervals

Results

743.0ms	935×	body	1280	valid
370.0ms	1011×	body	640	valid
317.0ms	5186×	body	80	valid
139.0ms	540×	body	320	valid
40.0ms	328×	body	160	valid