Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

315×

body

valid

simplify66.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	46	7
4	63	7
5	67	7
done	67	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize12.0ms

Local error

Found 1 expressions with local error:

2.9b	(* x (- 1.0 (* y z)))

rewrite30.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

29.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify1.6s

Counts

27 → 27

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	51	267
1	122	264
2	341	232
3	1246	232
done	5001	232

prune80.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))

rewrite59.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

45.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
245.0ms	(cbrt (- 1.0 (* y z)))
333.0ms	(cbrt (- 1.0 (* y z)))
291.0ms	(cbrt (- 1.0 (* y z)))

simplify2.5s

Counts

99 → 99

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	148	2038
1	355	1877
2	1127	1755
3	4175	1450
done	5001	1394

prune319.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt (- 1.0 (* y z)))
262.0ms	(cbrt (- 1.0 (* y z)))
362.0ms	(cbrt (- 1.0 (* y z)))
307.0ms	(cbrt (- 1.0 (* y z)))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	79	1248
1	198	1192
2	610	1120
3	2180	888
done	5000	824

prune322.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 3.0b

localize20.0ms

Local error

Found 4 expressions with local error:

3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))
9.0ms	(cbrt (- 1.0 (* y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt (- 1.0 (* y z)))
319.0ms	(cbrt (- 1.0 (* y z)))
363.0ms	(cbrt (- 1.0 (* y z)))
297.0ms	(cbrt (- 1.0 (* y z)))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	79	1248
1	198	1192
2	610	1120
3	2180	888
done	5000	824

prune437.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 3.0b

regimes473.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample856.0ms

Algorithm

intervals

Results

386.0ms

9555×

body

valid