Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

347×

body

valid

simplify101.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	32	7
3	70	7
4	101	7
5	108	7
6	112	7
done	112	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

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:

60.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify3.2s

Counts

49 → 49

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	110	883
1	274	712
2	834	570
3	3358	528
done	5000	402

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.2b	(cbrt (* (* x y) (- 1.0 y)))

rewrite181.0ms

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:

71.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
34.0ms	(cbrt (* (* x y) (- 1.0 y)))
31.0ms	(cbrt (* (* x y) (- 1.0 y)))
40.0ms	(cbrt (* (* x y) (- 1.0 y)))

series732.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
163.0ms	(cbrt (* (* x y) (- 1.0 y)))
164.0ms	(cbrt (* (* x y) (- 1.0 y)))
203.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.4s

Counts

92 → 92

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	171	2079
1	420	1907
2	1160	1747
3	3508	1429
done	5001	1359

prune374.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (* (cbrt (* x y)) (cbrt (- 1.0 y))))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.3b	(cbrt (* x y))

rewrite121.0ms

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:

57.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (* (cbrt (* x y)) (cbrt (- 1.0 y))))
30.0ms	(cbrt (* (* x y) (- 1.0 y)))
27.0ms	(cbrt (* (* x y) (- 1.0 y)))
3.0ms	(cbrt (* x y))

series715.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (* (cbrt (* x y)) (cbrt (- 1.0 y))))
219.0ms	(cbrt (* (* x y) (- 1.0 y)))
193.0ms	(cbrt (* (* x y) (- 1.0 y)))
86.0ms	(cbrt (* x y))

simplify2.5s

Counts

82 → 82

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	195	1718
1	504	1644
2	1406	1515
3	4588	1336
done	5000	1329

prune493.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (* (cbrt (* x y)) (cbrt (- 1.0 y))))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.3b	(cbrt (* x y))
10.3b	(cbrt (* x y))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*r/`
14×	`cbrt-div`
12×	`pow1/3`
9×	`pow1` `add-exp-log`
7×	`flip3--` `pow-prod-down` `flip--`
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 → 68

Calls

4 calls:

56.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (* (cbrt (* x y)) (cbrt (- 1.0 y))))
38.0ms	(cbrt (* (* x y) (- 1.0 y)))
6.0ms	(cbrt (* x y))
7.0ms	(cbrt (* x y))

series695.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (* (cbrt (* x y)) (cbrt (- 1.0 y))))
199.0ms	(cbrt (* (* x y) (- 1.0 y)))
102.0ms	(cbrt (* x y))
121.0ms	(cbrt (* x y))

simplify2.9s

Counts

80 → 80

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	195	1474
1	504	1414
2	1406	1304
3	4588	1174
done	5000	1170

prune392.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes140.0ms

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

sample1.3s

Algorithm

intervals

Results

898.0ms

10641×

body

valid