Details

sample31.0ms

Algorithm

intervals

Results

7.0ms	30×	body	1280	valid
7.0ms	40×	body	640	valid
6.0ms	157×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	12×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	11	6
3	15	6
4	16	6
done	16	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

3.0ms	(/ (sin y) y)
8.0ms	(* x (/ (sin y) y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (sin y) y)
62.0ms	(* x (/ (sin y) y))

simplify1.8s

Counts

69 → 69

Iterations

Useful iterations: 3 (486.0ms)

Iter	Nodes	Cost
0	102	595
1	217	568
2	591	516
3	2051	514
done	5000	514

prune178.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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)))

rewrite40.0ms

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:

24.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* x (/ 1 (/ y (sin y))))
30.0ms	(/ y (sin y))
30.0ms	(/ 1 (/ y (sin y)))

simplify2.7s

Counts

191 → 191

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	244	2235
1	577	1883
2	1315	1524
3	3664	1504
done	5000	1504

prune378.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

5.0ms	(/ x (/ y (sin y)))
3.0ms	(/ y (sin y))

series92.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ x (/ y (sin y)))
26.0ms	(/ y (sin y))

simplify2.6s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	175	1270
1	370	1192
2	1077	1130
3	4107	1127
done	5000	1127

prune274.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

3.0ms	(/ (sin y) y)
8.0ms	(* (/ (sin y) y) x)

series79.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (sin y) y)
46.0ms	(* (/ (sin y) y) x)

simplify3.1s

Counts

69 → 69

Iterations

Useful iterations: 3 (849.0ms)

Iter	Nodes	Cost
0	104	578
1	220	563
2	646	509
3	2327	507
done	5001	507

prune165.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes74.0ms

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
done	5	6

end0.0ms

sample874.0ms

Algorithm

intervals

Results

245.0ms	974×	body	1280	valid
214.0ms	5180×	body	80	valid
167.0ms	982×	body	640	valid
66.0ms	576×	body	320	valid
24.0ms	288×	body	160	valid