Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

331×

body

valid

simplify312.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	47	9
5	55	9
6	66	9
7	87	9
8	120	9
9	149	9
10	169	9
11	180	9
12	198	9
13	207	9
done	207	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

10.0ms	(+ (* x y) (* z (- 1.0 y)))
28.0ms	(* z (- 1.0 y))

series81.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* x y) (* z (- 1.0 y)))
36.0ms	(* z (- 1.0 y))

simplify1.3s

Counts

47 → 47

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	77	459
1	195	437
2	557	397
3	2134	397
done	5001	397

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

19.0ms	(+ (* x y) (+ (* z 1.0) (* z (- y))))
8.0ms	(+ (* z 1.0) (* z (- y)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) (+ (* z 1.0) (* z (- y))))
51.0ms	(+ (* z 1.0) (* z (- y)))

simplify2.6s

Counts

35 → 35

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	57	492
1	196	357
2	824	336
3	3664	332
done	5001	330

prune94.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* z (- 1.0 y)) (* x y))) (cbrt (+ (* z (- 1.0 y)) (* x y))))
0.5b	(cbrt (+ (* z (- 1.0 y)) (* x y)))
0.5b	(cbrt (+ (* z (- 1.0 y)) (* x y)))
0.5b	(cbrt (+ (* z (- 1.0 y)) (* x y)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

105.0ms	(* (cbrt (+ (* z (- 1.0 y)) (* x y))) (cbrt (+ (* z (- 1.0 y)) (* x y))))
10.0ms	(cbrt (+ (* z (- 1.0 y)) (* x y)))
14.0ms	(cbrt (+ (* z (- 1.0 y)) (* x y)))
10.0ms	(cbrt (+ (* z (- 1.0 y)) (* x y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

465.0ms	(* (cbrt (+ (* z (- 1.0 y)) (* x y))) (cbrt (+ (* z (- 1.0 y)) (* x y))))
392.0ms	(cbrt (+ (* z (- 1.0 y)) (* x y)))
407.0ms	(cbrt (+ (* z (- 1.0 y)) (* x y)))
367.0ms	(cbrt (+ (* z (- 1.0 y)) (* x y)))

simplify1.8s

Counts

99 → 99

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	145	2714
1	345	2531
2	921	2363
3	2699	1976
done	5000	1873

prune382.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ (* z (- 1.0 y)) (* x y))))
0.6b	(cbrt (cbrt (+ (* z (- 1.0 y)) (* x y))))
0.6b	(cbrt (cbrt (+ (* z (- 1.0 y)) (* x y))))
0.9b	(pow (cbrt (cbrt (+ (* z (- 1.0 y)) (* x y)))) 4)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

10.0ms	(cbrt (cbrt (+ (* z (- 1.0 y)) (* x y))))
16.0ms	(cbrt (cbrt (+ (* z (- 1.0 y)) (* x y))))
21.0ms	(cbrt (cbrt (+ (* z (- 1.0 y)) (* x y))))
34.0ms	(pow (cbrt (cbrt (+ (* z (- 1.0 y)) (* x y)))) 4)

series1.8s

Counts

4 → 12

Calls

4 calls:

395.0ms	(cbrt (cbrt (+ (* z (- 1.0 y)) (* x y))))
397.0ms	(cbrt (cbrt (+ (* z (- 1.0 y)) (* x y))))
375.0ms	(cbrt (cbrt (+ (* z (- 1.0 y)) (* x y))))
600.0ms	(pow (cbrt (cbrt (+ (* z (- 1.0 y)) (* x y)))) 4)

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	181	2130
1	448	1975
2	1146	1861
3	3408	1613
done	5000	1530

prune407.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	17	12
2	21	12
3	22	12
done	22	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

935.0ms

10090×

body

valid