Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

333×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	12	3
2	12	3
done	12	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

6.0ms	(+ x (* (* y z) z))
16.0ms	(* (* y z) z)

series83.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* (* y z) z))
31.0ms	(* (* y z) z)

simplify103.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	159	140
1	724	123
2	3491	123
3	5001	122
done	5001	122

prune58.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))

rewrite63.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

26.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
12.0ms	(cbrt (* (* y z) z))
11.0ms	(cbrt (* (* y z) z))
12.0ms	(cbrt (* (* y z) z))

series400.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
96.0ms	(cbrt (* (* y z) z))
96.0ms	(cbrt (* (* y z) z))
95.0ms	(cbrt (* (* y z) z))

simplify86.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	201	433
1	643	382
2	2882	313
3	5002	305
done	5002	305

prune176.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (cbrt (* (* y z) z))) (fabs (cbrt (* (* y z) z))))
19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

6.0ms	(* (fabs (cbrt (* (* y z) z))) (fabs (cbrt (* (* y z) z))))
12.0ms	(cbrt (* (* y z) z))
14.0ms	(cbrt (* (* y z) z))
12.0ms	(cbrt (* (* y z) z))

series307.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (fabs (cbrt (* (* y z) z))) (fabs (cbrt (* (* y z) z))))
96.0ms	(cbrt (* (* y z) z))
96.0ms	(cbrt (* (* y z) z))
92.0ms	(cbrt (* (* y z) z))

simplify71.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	171	455
1	570	369
2	2408	316
3	5001	305
done	5001	305

prune204.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (fabs (cbrt (* (* y z) z))) 3/2)
19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 44

Calls

4 calls:

5.0ms	(pow (fabs (cbrt (* (* y z) z))) 3/2)
12.0ms	(cbrt (* (* y z) z))
12.0ms	(cbrt (* (* y z) z))
12.0ms	(cbrt (* (* y z) z))

series352.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow (fabs (cbrt (* (* y z) z))) 3/2)
96.0ms	(cbrt (* (* y z) z))
96.0ms	(cbrt (* (* y z) z))
92.0ms	(cbrt (* (* y z) z))

simplify54.0ms

Counts

56 → 56

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	174	348
1	481	322
2	1671	289
3	5001	286
done	5001	286

prune213.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes150.0ms

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	9	3
1	9	3
done	9	3

end0.0ms

sample468.0ms

Algorithm

intervals

Results

191.0ms

10728×

body

valid