Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

345×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	44	3
3	62	3
4	63	3
5	63	3
done	63	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

17.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify102.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	151	198
1	642	173
2	3593	170
3	5001	162
done	5001	162

prune53.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

17.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify69.0ms

Counts

25 → 25

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	117	122
1	472	108
2	2840	104
3	5001	104
done	5001	104

prune46.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 95

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
31.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series924.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (- 1.0 (* x y)))
231.0ms	(cbrt (- 1.0 (* x y)))
236.0ms	(cbrt (- 1.0 (* x y)))
222.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify46.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	369	1126
1	1438	1071
2	5001	1010
done	5001	1010

prune288.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 104

Calls

4 calls:

31.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
3.0ms	(cbrt (cbrt (- 1.0 (* x y))))
3.0ms	(cbrt (cbrt (- 1.0 (* x y))))
4.0ms	(cbrt (cbrt (- 1.0 (* x y))))

series942.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
235.0ms	(cbrt (cbrt (- 1.0 (* x y))))
239.0ms	(cbrt (cbrt (- 1.0 (* x y))))
234.0ms	(cbrt (cbrt (- 1.0 (* x y))))

simplify50.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	396	1282
1	1528	1230
2	5001	1154
done	5001	1154

prune361.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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	8	3
1	8	3
done	8	3

end0.0ms

sample395.0ms

Algorithm

intervals

Results

180.0ms

10702×

body

valid