Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

315×

body

valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	52	7
4	81	7
5	87	7
done	87	7

prune8.0ms

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)))

rewrite29.0ms

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:

27.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify1.5s

Counts

35 → 35

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	70	405
1	151	402
2	392	352
3	1409	343
done	5000	307

prune134.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.0b

localize23.0ms

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)))

rewrite81.0ms

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:

59.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
7.0ms	(cbrt (- 1.0 (* y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
324.0ms	(cbrt (- 1.0 (* y z)))
318.0ms	(cbrt (- 1.0 (* y z)))
329.0ms	(cbrt (- 1.0 (* y z)))

simplify2.6s

Counts

107 → 107

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	152	2108
1	370	1928
2	1194	1787
3	4434	1474
done	5000	1473

prune540.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.0b

localize48.0ms

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)))

rewrite24.0ms

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` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
7.0ms	(cbrt (- 1.0 (* y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt (- 1.0 (* y z)))
277.0ms	(cbrt (- 1.0 (* y z)))
306.0ms	(cbrt (- 1.0 (* y z)))
304.0ms	(cbrt (- 1.0 (* y z)))

simplify2.1s

Counts

72 → 72

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	81	1304
1	206	1232
2	647	1152
3	2330	928
done	5000	868

prune484.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 3.0b

localize32.0ms

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)))

rewrite30.0ms

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` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (- 1.0 (* y z)))
11.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))
7.0ms	(cbrt (- 1.0 (* y z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

400.0ms	(cbrt (- 1.0 (* y z)))
284.0ms	(cbrt (- 1.0 (* y z)))
351.0ms	(cbrt (- 1.0 (* y z)))
331.0ms	(cbrt (- 1.0 (* y z)))

simplify2.0s

Counts

72 → 72

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	81	1304
1	206	1232
2	647	1152
3	2330	928
done	5000	868

prune488.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 3.0b

regimes416.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample964.0ms

Algorithm

intervals

Results

451.0ms

9555×

body

valid