Details

sample68.0ms

Algorithm

intervals

Results

17.0ms	258×	body	80	valid
14.0ms	274×	body	80	nan

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3880
7	1171
6	415
5	191
4	83
3	41
2	25
1	14
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`diff-log` `associate-l`
3×	`sub-neg` `associate-r`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

54.0ms	(- (- (* (log y) x) y) z)
6.0ms	(- (* (log y) x) y)
6.0ms	(* (log y) x)

series272.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (- (* (log y) x) y) z)
115.0ms	(- (* (log y) x) y)
101.0ms	(* (log y) x)

simplify596.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	828
1	231
0	103

prune310.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

11.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
3.0ms	(cbrt (* x (log y)))
3.0ms	(cbrt (* x (log y)))
3.0ms	(cbrt (* x (log y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

529.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
166.0ms	(cbrt (* x (log y)))
185.0ms	(cbrt (* x (log y)))
132.0ms	(cbrt (* x (log y)))

simplify632.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	841
1	214
0	89

prune482.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
1×	`log-pow`

Counts

4 → 41

Calls

4 calls:

1.0ms	(cbrt (log y))
1.0ms	(cbrt x)
3.0ms	(cbrt (* x (log y)))
7.0ms	(cbrt (* x (log y)))

series954.0ms

Counts

4 → 12

Calls

4 calls:

423.0ms	(cbrt (log y))
285.0ms	(cbrt x)
121.0ms	(cbrt (* x (log y)))
125.0ms	(cbrt (* x (log y)))

simplify1.1s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
3	1631
2	374
1	135
0	73

prune344.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log y))
0.5b	(cbrt x)
0.5b	(cbrt (* x (log y)))
0.5b	(cbrt (/ (log y) (/ -1 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

88×	`times-frac`
65×	`cbrt-prod`
48×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
14×	`log-pow`
5×	`div-inv`
4×	`add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
1×	`cbrt-div` `associate-/r/`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt (log y))
1.0ms	(cbrt x)
3.0ms	(cbrt (* x (log y)))
5.0ms	(cbrt (/ (log y) (/ -1 x)))

series999.0ms

Counts

4 → 12

Calls

4 calls:

376.0ms	(cbrt (log y))
282.0ms	(cbrt x)
167.0ms	(cbrt (* x (log y)))
173.0ms	(cbrt (/ (log y) (/ -1 x)))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	2097
1	487
0	260

prune862.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes314.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

484.0ms	8026×	body	80	valid
447.0ms	8179×	body	80	nan
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid