Details

sample152.0ms

Algorithm

intervals

Results

58.0ms	864×	body	80	nan
21.0ms	257×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	109	11
4	192	11
5	270	11
6	380	11
7	455	11
8	506	11
9	509	11
done	509	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

10.0ms	(- (* x (log y)) y)
224.0ms	(+ (- (- (* x (log y)) y) z) (log t))
14.0ms	(* x (log y))

series246.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- (* x (log y)) y)
80.0ms	(+ (- (- (* x (log y)) y) z) (log t))
61.0ms	(* x (log y))

simplify1.9s

Counts

83 → 83

Iterations

Useful iterations: 3 (663.0ms)

Iter	Nodes	Cost
0	148	857
1	330	828
2	773	764
3	2363	730
done	5000	730

prune356.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 52

Calls

4 calls:

22.0ms	(* (* 2 (log (cbrt y))) x)
55.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (* 2 (log (cbrt y))) x)
213.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
307.0ms	(cbrt y)
296.0ms	(cbrt y)

simplify6.1s

Counts

64 → 64

Iterations

Useful iterations: 3 (2.9s)

Iter	Nodes	Cost
0	93	644
1	247	518
2	969	425
3	4950	353
done	5000	353

prune332.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y)
0.0b	(+ (- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y) z) (log t))
0.4b	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
0.5b	(cbrt (- y))

rewrite854.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

25.0ms	(- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y)
775.0ms	(+ (- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y) z) (log t))
50.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
2.0ms	(cbrt (- y))

series1.1s

Counts

4 → 12

Calls

4 calls:

321.0ms	(- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y)
243.0ms	(+ (- (- (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) y) z) (log t))
240.0ms	(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
253.0ms	(cbrt (- y))

simplify949.0ms

Counts

94 → 94

Iterations

Useful iterations: done (945.0ms)

Iter	Nodes	Cost
0	168	1443
1	384	1375
2	1269	1244
done	5001	1214

prune493.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
7×	`pow1`
6×	`pow1/3`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`neg-mul-1` `log-pow`
2×	`pow-prod-down`

Counts

4 → 68

Calls

4 calls:

6.0ms	(cbrt (log (* (cbrt -1) (cbrt (- y)))))
2.0ms	(cbrt (- y))
2.0ms	(cbrt (- y))
2.0ms	(cbrt (- y))

series1.7s

Counts

4 → 12

Calls

4 calls:

751.0ms	(cbrt (log (* (cbrt -1) (cbrt (- y)))))
369.0ms	(cbrt (- y))
326.0ms	(cbrt (- y))
302.0ms	(cbrt (- y))

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	64	596
1	106	570
2	219	505
3	516	493
4	1826	493
done	5001	474

prune533.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes331.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.9s	23763×	body	80	nan
1.3s	8047×	body	80	valid
1.0ms	1×	body	1280	valid