Details

sample64.0ms

Algorithm

intervals

Results

24.0ms	705×	body	80	nan
11.0ms	256×	body	80	valid

simplify617.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	112	11
4	207	11
5	273	11
6	383	11
7	546	11
8	589	11
9	591	11
done	591	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

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:

4.0ms	(- (* x (log y)) y)
73.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(* x (log y))

series143.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x (log y)) y)
47.0ms	(+ (- (- (* x (log y)) y) z) (log t))
38.0ms	(* x (log y))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: 3 (440.0ms)

Iter	Nodes	Cost
0	148	857
1	319	828
2	748	798
3	2357	730
done	5000	730

prune224.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (- (- (* x (log y)) y) z) (* 2 (log (cbrt t)))) (log (cbrt t)))
0.2b	(* x (log y))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

298.0ms	(+ (+ (- (- (* x (log y)) y) z) (* 2 (log (cbrt t)))) (log (cbrt t)))
4.0ms	(* x (log y))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series485.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (+ (- (- (* x (log y)) y) z) (* 2 (log (cbrt t)))) (log (cbrt t)))
38.0ms	(* x (log y))
181.0ms	(cbrt t)
186.0ms	(cbrt t)

simplify2.0s

Counts

83 → 83

Iterations

Useful iterations: 3 (851.0ms)

Iter	Nodes	Cost
0	146	947
1	326	855
2	907	736
3	4458	673
done	5000	673

prune278.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-prod` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
11.0ms	(* (* 2 (log (cbrt y))) x)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series776.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (log (cbrt y)))
131.0ms	(* (* 2 (log (cbrt y))) x)
369.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: 3 (966.0ms)

Iter	Nodes	Cost
0	110	670
1	224	632
2	708	528
3	2938	518
done	5001	518

prune285.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* -2/3 (* (- (log y)) x)) (* x (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.4b	(* -2/3 (* (- (log y)) x))
0.6b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
12×	`pow1` `distribute-rgt-in` `associate-+r+` `distribute-lft-in`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `log-pow` `*-commutative`
1×	`+-commutative` `distribute-lft-neg-out` `flip3-+` `sum-log` `distribute-rgt-neg-out` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

10.0ms	(+ (* -2/3 (* (- (log y)) x)) (* x (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
9.0ms	(* -2/3 (* (- (log y)) x))
1.0ms	(cbrt y)

series541.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(+ (* -2/3 (* (- (log y)) x)) (* x (log (cbrt y))))
96.0ms	(* x (log (cbrt y)))
71.0ms	(* -2/3 (* (- (log y)) x))
177.0ms	(cbrt y)

simplify2.9s

Counts

97 → 97

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	169	1082
1	372	996
2	1062	787
3	4639	697
done	5000	697

prune322.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	20
1	24	20
2	31	20
3	35	20
done	35	20

end0.0ms

sample2.0s

Algorithm

intervals

Results

830.0ms	24033×	body	80	nan
339.0ms	8032×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid