Details

sample54.0ms

Algorithm

intervals

Results

16.0ms	168×	body	80	valid
10.0ms	26×	body	1280	valid
9.0ms	35×	body	640	valid
2.0ms	11×	body	320	valid
2.0ms	16×	body	160	valid

simplify16.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

25.0ms	(* x (/ (sin y) y))
14.0ms	(/ (sin y) y)

series125.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* x (/ (sin y) y))
50.0ms	(/ (sin y) y)

simplify4.5s

Counts

69 → 69

Iterations

Useful iterations: 3 (513.0ms)

Iter	Nodes	Cost
0	102	595
1	213	568
2	568	516
3	1586	514
4	4787	514
done	5001	514

prune148.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 182

Calls

3 calls:

36.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
12.0ms	(/ 1 (/ y (sin y)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* x (/ 1 (/ y (sin y))))
25.0ms	(/ y (sin y))
28.0ms	(/ 1 (/ y (sin y)))

simplify2.1s

Counts

191 → 191

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	244	2235
1	543	1761
2	1082	1524
3	2975	1504
done	5000	1504

prune542.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

13.0ms	(/ x (/ y (sin y)))
11.0ms	(/ y (sin y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ x (/ y (sin y)))
27.0ms	(/ y (sin y))

simplify2.3s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	175	1270
1	356	1192
2	1038	1130
3	2965	1127
done	5000	1127

prune302.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (cbrt (/ (sin y) y)))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ 1 (/ y (sin y))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

94×	`times-frac`
85×	`cbrt-prod`
69×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
7×	`div-inv`
6×	`pow1` `add-exp-log`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `prod-exp` `associate-/r/` `-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

35.0ms	(* x (cbrt (/ (sin y) y)))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))
12.0ms	(cbrt (/ 1 (/ y (sin y))))

series691.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* x (cbrt (/ (sin y) y)))
186.0ms	(cbrt (/ (sin y) y))
190.0ms	(cbrt (/ (sin y) y))
161.0ms	(cbrt (/ 1 (/ y (sin y))))

simplify2.3s

Counts

151 → 151

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	296	1949
1	490	1745
2	803	1591
3	1456	1555
4	2521	1522
done	5001	1453

prune459.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
done	5	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

716.0ms	5177×	body	80	valid
555.0ms	935×	body	1280	valid
260.0ms	1000×	body	640	valid
104.0ms	558×	body	320	valid
41.0ms	330×	body	160	valid