Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	331×	body	80	valid
0.0ms	1×	body	1280	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	56	7
4	137	7
5	335	7
6	769	7
7	994	7
8	1308	7
9	3337	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

47.0ms

(* (+ x y) (- 1.0 z))

series43.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (+ x y) (- 1.0 z))

simplify701.0ms

Counts

36 → 36

Iterations

Useful iterations: done (699.0ms)

Iter	Nodes	Cost
0	84	448
1	248	433
2	1119	403
done	5000	401

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
0.0b	(* (- z) (+ x y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

30.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
51.0ms	(* (- z) (+ x y))

series134.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
53.0ms	(* (- z) (+ x y))

simplify1.6s

Counts

59 → 59

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	113	790
1	405	674
2	2406	617
done	5001	616

prune225.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (- z)) (* y (- z)))
0.0b	(+ (* 1.0 (+ x y)) (+ (* x (- z)) (* y (- z))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-neg-out`
9×	`add-log-exp`
6×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add` `sum-log`
3×	`distribute-rgt-out` `distribute-neg-out` `unsub-neg`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `associate-+l+` `*-un-lft-identity` `add-cbrt-cube`
1×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`

Counts

2 → 39

Calls

2 calls:

10.0ms	(+ (* x (- z)) (* y (- z)))
44.0ms	(+ (* 1.0 (+ x y)) (+ (* x (- z)) (* y (- z))))

series130.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (* x (- z)) (* y (- z)))
61.0ms	(+ (* 1.0 (+ x y)) (+ (* x (- z)) (* y (- z))))

simplify1.1s

Counts

45 → 45

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	95	939
1	338	737
2	1809	599
done	5001	599

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
0.2b	(cbrt (- 1.0 z))
0.2b	(cbrt (- 1.0 z))
0.2b	(cbrt (- 1.0 z))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

51.0ms	(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
9.0ms	(cbrt (- 1.0 z))
8.0ms	(cbrt (- 1.0 z))
7.0ms	(cbrt (- 1.0 z))

series529.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
90.0ms	(cbrt (- 1.0 z))
160.0ms	(cbrt (- 1.0 z))
130.0ms	(cbrt (- 1.0 z))

simplify808.0ms

Counts

113 → 113

Iterations

Useful iterations: done (801.0ms)

Iter	Nodes	Cost
0	148	1569
1	342	1431
2	1165	1360
done	5000	1320

prune555.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	11	15
1	21	15
2	33	14
3	35	14
done	35	14

end0.0ms

sample1000.0ms

Algorithm

intervals

Results

485.0ms	10195×	body	80	valid
0.0ms	3×	body	1280	valid