Details

sample61.0ms

Algorithm

intervals

Results

13.0ms	216×	body	80	valid
9.0ms	31×	body	1280	valid
8.0ms	32×	body	640	valid
3.0ms	18×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	4×	body	2560	valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (209.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	68	9
3	156	7
4	525	5
5	1652	5
done	5000	5

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

45.0ms

(* (- x z) y)

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (- x z) y)

simplify4.4s

Counts

25 → 25

Iterations

Useful iterations: 3 (460.0ms)

Iter	Nodes	Cost
0	49	185
1	105	178
2	341	162
3	1216	158
4	4158	158
done	5001	158

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
4.2b	(cbrt (* (- x z) y))
4.2b	(cbrt (* (- x z) y))
4.2b	(cbrt (* (- x z) y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

34.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
9.0ms	(cbrt (* (- x z) y))
9.0ms	(cbrt (* (- x z) y))
17.0ms	(cbrt (* (- x z) y))

series883.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
177.0ms	(cbrt (* (- x z) y))
230.0ms	(cbrt (* (- x z) y))
217.0ms	(cbrt (* (- x z) y))

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	146	1322
1	335	1219
2	872	1123
3	2336	1026
done	5000	946

prune346.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* y y))
0.0b	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
9.3b	(+ (- (* x y) (* y y)) (* y y))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`sum-log`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `distribute-rgt-out--` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--` `distribute-lft-out`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--`

Counts

3 → 46

Calls

3 calls:

11.0ms	(- (* x y) (* y y))
215.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
71.0ms	(+ (- (* x y) (* y y)) (* y y))

series121.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* x y) (* y y))
46.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
23.0ms	(+ (- (* x y) (* y y)) (* y y))

simplify3.0s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	80	825
1	231	503
2	755	385
3	3768	365
done	5000	365

prune158.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `distribute-rgt-out--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 13

Calls

1 calls:

16.0ms

(- (* x y) (* z y))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(- (* x y) (* z y))

simplify2.7s

Counts

16 → 16

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	29	177
1	89	136
2	290	126
3	996	124
4	2719	122
done	5000	122

prune53.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	7018×	body	80	valid
294.0ms	915×	body	1280	valid
226.0ms	875×	body	640	valid
90.0ms	553×	body	160	valid
88.0ms	538×	body	320	valid
68.0ms	214×	body	2560	valid