Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

347×

body

valid

simplify67.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	32	7
3	66	7
4	81	7
5	88	7
done	88	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

42.0ms

(* (* x y) (- 1.0 y))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (* x y) (- 1.0 y))

simplify2.2s

Counts

29 → 29

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	60	303
1	165	294
2	649	242
3	2733	242
done	5000	242

prune48.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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:

7.0ms	(cbrt (- 1.0 y))
5.0ms	(cbrt (- 1.0 y))
4.0ms	(cbrt (- 1.0 y))
49.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series534.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (- 1.0 y))
117.0ms	(cbrt (- 1.0 y))
138.0ms	(cbrt (- 1.0 y))
125.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	148	1569
1	318	1431
2	782	1360
3	1868	1241
done	5001	1212

prune442.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
8.8b	(cbrt (* (* x y) (- 1.0 y)))
8.8b	(cbrt (* (* x y) (- 1.0 y)))
8.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
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×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

50.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
20.0ms	(cbrt (* (* x y) (- 1.0 y)))
16.0ms	(cbrt (* (* x y) (- 1.0 y)))
21.0ms	(cbrt (* (* x y) (- 1.0 y)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
185.0ms	(cbrt (* (* x y) (- 1.0 y)))
159.0ms	(cbrt (* (* x y) (- 1.0 y)))
170.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	167	1989
1	401	1858
2	1076	1693
3	3200	1362
done	5001	1296

prune414.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 (* x y)) (- (* x (pow y 2))))
10.3b	(* x (pow y 2))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `neg-sub0` `pow-to-exp` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 42

Calls

2 calls:

40.0ms	(+ (* 1.0 (* x y)) (- (* x (pow y 2))))
12.0ms	(* x (pow y 2))

series171.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(+ (* 1.0 (* x y)) (- (* x (pow y 2))))
46.0ms	(* x (pow y 2))

simplify4.5s

Counts

48 → 48

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	81	522
1	207	469
2	715	412
3	3505	342
done	5000	339

prune132.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes93.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample863.0ms

Algorithm

intervals

Results

385.0ms

10632×

body

valid