Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	31	7
3	62	7
4	87	7
5	93	7
6	97	7
done	97	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

15.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify676.0ms

Counts

49 → 49

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	110	883
1	299	712
2	1309	552
done	5001	552

prune56.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.8b	(cbrt (* (* x y) (- 1.0 y)))
10.8b	(cbrt (* (* x y) (- 1.0 y)))
10.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite38.0ms

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×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 80

Calls

4 calls:

12.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
131.0ms	(cbrt (* (* x y) (- 1.0 y)))
133.0ms	(cbrt (* (* x y) (- 1.0 y)))
133.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify483.0ms

Counts

92 → 92

Iterations

Useful iterations: done (479.0ms)

Iter	Nodes	Cost
0	171	2079
1	424	1907
2	1381	1747
done	5001	1567

prune263.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x y)) (cbrt (* x y)))
10.8b	(cbrt (* x y))
10.8b	(cbrt (* x y))
10.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

5.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
1.0ms	(cbrt (* x y))
1.0ms	(cbrt (* x y))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
70.0ms	(cbrt (* x y))
70.0ms	(cbrt (* x y))
133.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.1s

Counts

80 → 80

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	152	920
1	375	833
2	1166	746
3	4624	641
done	5000	635

prune252.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt y)
10.8b	(cbrt (* x y))
10.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `associate-*r/`
1×	`flip3--` `flip--`

Counts

4 → 50

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt y)
1.0ms	(cbrt (* x y))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt x)
184.0ms	(cbrt y)
70.0ms	(cbrt (* x y))
132.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify1.1s

Counts

62 → 62

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	148	578
1	329	552
2	870	503
3	3193	434
done	5000	424

prune214.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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

sample357.0ms

Algorithm

intervals

Results

195.0ms

10636×

body

valid