Details

sample64.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
13.0ms	258×	body	80	nan

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	83	8
5	188	8
6	417	8
7	1183	8
8	3990	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

78.0ms	(- (- (* x (log y)) z) y)
18.0ms	(- (* x (log y)) z)
11.0ms	(* x (log y))

series209.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (- (* x (log y)) z) y)
83.0ms	(- (* x (log y)) z)
80.0ms	(* x (log y))

simplify2.9s

Counts

76 → 76

Iterations

Useful iterations: 3 (588.0ms)

Iter	Nodes	Cost
0	126	705
1	275	666
2	734	629
3	4017	596
done	5002	596

prune269.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
24.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series676.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (log (cbrt y)) x)
137.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
201.0ms	(cbrt y)
205.0ms	(cbrt y)

simplify637.0ms

Counts

66 → 66

Iterations

Useful iterations: done (634.0ms)

Iter	Nodes	Cost
0	87	597
1	219	529
2	964	423
done	5000	377

prune309.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
0.4b	(* 1/3 (* (log y) x))
0.6b	(cbrt y)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

44.0ms	(* (* 2 (log (cbrt y))) x)
34.0ms	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
32.0ms	(* 1/3 (* (log y) x))
2.0ms	(cbrt y)

series803.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (* 2 (log (cbrt y))) x)
296.0ms	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
79.0ms	(* 1/3 (* (log y) x))
286.0ms	(cbrt y)

simplify1.1s

Counts

70 → 70

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	142	802
1	385	678
2	2078	522
done	5001	497

prune293.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (pow y 1/3))) x)
0.3b	(+ (* (* 2 (log (pow y 1/3))) x) (* (log (cbrt y)) x))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow-to-exp` `distribute-rgt-out` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `flip-+` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

32.0ms	(* (* 2 (log (pow y 1/3))) x)
26.0ms	(+ (* (* 2 (log (pow y 1/3))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series862.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (* 2 (log (pow y 1/3))) x)
209.0ms	(+ (* (* 2 (log (pow y 1/3))) x) (* (log (cbrt y)) x))
253.0ms	(cbrt y)
260.0ms	(pow y 1/3)

simplify910.0ms

Counts

71 → 71

Iterations

Useful iterations: done (908.0ms)

Iter	Nodes	Cost
0	127	750
1	367	609
2	1644	469
done	5001	445

prune333.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes182.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	15	18
1	20	18
done	20	18

end0.0ms

sample1.5s

Algorithm

intervals

Results

412.0ms	8037×	body	80	valid
323.0ms	7876×	body	80	nan
0.0ms	1×	body	1280	valid