Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	282×	body	80	nan

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4
done	236	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.2b	(* x (log y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

47.0ms	(- (- (* x (log y)) z) y)
8.0ms	(* x (log y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (- (* x (log y)) z) y)
38.0ms	(* x (log y))

simplify52.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	213	276
1	651	251
2	2033	235
3	5002	235
done	5002	235

prune104.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

12.0ms	(* x (log (cbrt y)))
25.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series537.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
100.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
173.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify50.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547
done	5001	547

prune343.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))
0.6b	(cbrt (cbrt y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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 → 45

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(cbrt (* (cbrt y) (cbrt y)))
1.0ms	(cbrt (cbrt y))

series852.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
177.0ms	(cbrt y)
259.0ms	(cbrt (* (cbrt y) (cbrt y)))
235.0ms	(cbrt (cbrt y))

simplify103.0ms

Counts

57 → 57

Iterations

Useful iterations: 4 (100.0ms)

Iter	Nodes	Cost
0	106	215
1	236	195
2	753	185
3	3141	185
4	5001	180
done	5001	180

prune247.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 2 (log (pow (/ 1 y) -1/3))))
0.3b	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

148×	`log-prod`
142×	`distribute-rgt-in` `distribute-lft-in`
117×	`unpow-prod-down`
82×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
81×	`times-frac`
68×	`associate-+l+`
14×	`add-exp-log`
12×	`associate-+r+`
11×	`pow1`
9×	`cbrt-prod` `add-cbrt-cube` `div-inv` `sqr-pow`
6×	`add-log-exp`
4×	`pow-exp`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 221

Calls

4 calls:

38.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
48.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)

series625.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
190.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
170.0ms	(cbrt y)
173.0ms	(pow (/ 1 y) -1/3)

simplify93.0ms

Counts

233 → 233

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	983	2101
1	2900	1914
2	5002	1808
done	5002	1808

prune648.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes103.0ms

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	8	4
1	8	4
done	8	4

end0.0ms

sample847.0ms

Algorithm

intervals

Results

220.0ms	8029×	body	80	valid
164.0ms	8112×	body	80	nan
0.0ms	1×	body	320	valid