Details

sample75.0ms

Algorithm

intervals

Results

19.0ms	260×	body	80	valid
16.0ms	274×	body	80	nan

simplify310.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	16	8
3	23	8
4	41	8
5	60	8
6	69	8
7	81	8
8	102	8
9	136	8
10	155	8
11	172	8
12	178	8
done	178	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
16.5b	(log (/ x y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

29.0ms	(- (* x (log (/ x y))) z)
24.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series240.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(- (* x (log (/ x y))) z)
75.0ms	(* x (log (/ x y)))
50.0ms	(log (/ x y))

simplify1.4s

Counts

116 → 116

Iterations

Useful iterations: 3 (714.0ms)

Iter	Nodes	Cost
0	192	1277
1	341	1212
2	654	1146
3	1846	1116
done	5002	1116

prune371.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt y)
300.0ms	(cbrt y)
271.0ms	(cbrt x)
316.0ms	(cbrt x)

simplify2.1s

Counts

56 → 56

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	42	260
1	71	244
2	144	220
3	298	208
4	773	208
5	2577	208
done	5001	208

prune312.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))
4.8b	(log (/ x (cbrt y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`cbrt-prod`
27×	`add-cube-cbrt` `*-un-lft-identity`
22×	`log-prod`
18×	`times-frac`
12×	`pow1`
9×	`add-exp-log`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`rem-log-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-div` `pow-plus` `div-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
23.0ms	(* (cbrt y) (cbrt y))
8.0ms	(log (/ x (cbrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt y)
254.0ms	(cbrt y)
332.0ms	(* (cbrt y) (cbrt y))
192.0ms	(log (/ x (cbrt y)))

simplify1.7s

Counts

107 → 107

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	155	873
1	304	739
2	695	704
3	1982	674
done	5000	668

prune427.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.8b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `log-prod` `rem-log-exp`
4×	`div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
20.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series986.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt x)
279.0ms	(cbrt x)
287.0ms	(cbrt x)
157.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify2.3s

Counts

64 → 64

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	71	495
1	132	471
2	276	370
3	708	340
4	2752	337
done	5000	330

prune293.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	15	19
done	15	19

end0.0ms

sample1.8s

Algorithm

intervals

Results

529.0ms	8042×	body	80	valid
394.0ms	8324×	body	80	nan