Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

332×

body

valid

simplify317.0ms

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

12.0ms	(+ (* x y) (* (- 1.0 x) z))
27.0ms	(* (- 1.0 x) z)

series88.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* x y) (* (- 1.0 x) z))
33.0ms	(* (- 1.0 x) z)

simplify2.9s

Counts

39 → 39

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	71	405
1	185	379
2	676	345
3	3001	345
done	5001	345

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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:

4.0ms	(cbrt (- 1.0 x))
5.0ms	(cbrt (- 1.0 x))
9.0ms	(cbrt (- 1.0 x))
46.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- 1.0 x))
140.0ms	(cbrt (- 1.0 x))
109.0ms	(cbrt (- 1.0 x))
121.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	148	1569
1	318	1431
2	782	1360
3	1863	1241
done	5000	1212

prune508.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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:

50.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
5.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
5.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
15.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

series932.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
190.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
239.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
210.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify2.2s

Counts

99 → 99

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	130	2470
1	314	2299
2	835	2149
3	2533	1902
done	5001	1856

prune399.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
0.1b	(* (- 1.0 x) (sqrt z))
0.2b	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

11.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
27.0ms	(* (- 1.0 x) (sqrt z))
52.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

series162.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
57.0ms	(* (- 1.0 x) (sqrt z))
47.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

simplify3.7s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	118	889
1	319	675
2	1024	605
3	4023	597
done	5000	597

prune193.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes86.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample863.0ms

Algorithm

intervals

Results

543.0ms

10090×

body

valid