Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

330×

body

valid

simplify63.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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))

rewrite16.0ms

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:

14.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify713.0ms

Counts

49 → 49

Iterations

Useful iterations: 2 (104.0ms)

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

prune61.0ms

Pruning

7 alts after pruning (6 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))))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* (* x y) (- 1.0 y)))

rewrite35.0ms

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

series570.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
135.0ms	(cbrt (* (* x y) (- 1.0 y)))
132.0ms	(cbrt (* (* x y) (- 1.0 y)))
136.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify504.0ms

Counts

92 → 92

Iterations

Useful iterations: done (501.0ms)

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

prune266.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (* (cbrt (* x y)) (cbrt (- 1.0 y))))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* x y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
16×	`cbrt-div`
12×	`pow1/3`
9×	`pow1` `add-exp-log`
8×	`flip3--` `flip--`
7×	`pow-prod-down`
5×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 70

Calls

4 calls:

23.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (* (cbrt (* x y)) (cbrt (- 1.0 y))))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
1.0ms	(cbrt (* x y))

series510.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (* (cbrt (* x y)) (cbrt (- 1.0 y))))
136.0ms	(cbrt (* (* x y) (- 1.0 y)))
131.0ms	(cbrt (* (* x y) (- 1.0 y)))
69.0ms	(cbrt (* x y))

simplify479.0ms

Counts

82 → 82

Iterations

Useful iterations: done (476.0ms)

Iter	Nodes	Cost
0	195	1718
1	506	1644
2	1457	1515
done	5001	1374

prune301.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* x y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
16×	`cbrt-div`
9×	`pow1` `add-exp-log`
8×	`flip3--` `flip--`
6×	`pow1/3`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `add-cbrt-cube`
4×	`cbrt-prod` `expm1-log1p-u` `frac-times` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 67

Calls

4 calls:

27.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
2.0ms	(cbrt (* x y))

series723.0ms

Counts

4 → 12

Calls

4 calls:

377.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
141.0ms	(cbrt (* (* x y) (- 1.0 y)))
133.0ms	(cbrt (* (* x y) (- 1.0 y)))
71.0ms	(cbrt (* x y))

simplify486.0ms

Counts

79 → 79

Iterations

Useful iterations: done (483.0ms)

Iter	Nodes	Cost
0	195	1632
1	512	1574
2	1439	1437
done	5000	1267

prune278.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes84.0ms

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

sample362.0ms

Algorithm

intervals

Results

194.0ms

10662×

body

valid