Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
6.0ms	260×	body	80	nan

simplify155.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	50	8
5	58	8
6	78	8
7	109	8
8	125	8
9	135	8
10	142	8
11	144	8
12	146	8
done	146	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

20.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series130.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (- (* x (log y)) z) y)
52.0ms	(- (* x (log y)) z)
42.0ms	(* x (log y))

simplify549.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (206.0ms)

Iter	Nodes	Cost
0	126	705
1	249	666
2	537	629
3	1260	596
done	5000	596

prune168.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series98.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (* x (log y)) y)
40.0ms	(* x (log y))

simplify1.4s

Counts

49 → 49

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	89	402
1	168	381
2	323	351
3	575	332
4	2476	332
done	5000	332

prune132.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
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-+` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
9.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series689.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (log (cbrt y)))
121.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
304.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: 3 (651.0ms)

Iter	Nodes	Cost
0	119	909
1	256	837
2	661	675
3	3143	609
done	5001	609

prune302.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

13.0ms	(* (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))) x)
4.0ms	(* 2/3 (log y))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))

series638.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))) x)
140.0ms	(* 2/3 (log y))
147.0ms	(cbrt (sqrt y))
149.0ms	(cbrt (sqrt y))

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	150	825
1	326	773
2	858	683
3	2589	660
done	5000	658

prune328.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes72.0ms

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	11	13
1	16	13
done	16	13

end0.0ms

sample752.0ms

Algorithm

intervals

Results

242.0ms	8034×	body	80	valid
174.0ms	7990×	body	80	nan