Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

298×

body

valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	45	7
4	63	7
5	71	7
done	71	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b	(* x (- 1.0 (* y z)))

rewrite10.0ms

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:

10.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify1.8s

Counts

27 → 27

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	51	267
1	119	264
2	329	232
3	1082	232
4	3832	232
done	5000	232

prune54.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

19.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
1.0ms	(cbrt (- 1.0 (* y z)))
1.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series810.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
234.0ms	(cbrt (- 1.0 (* y z)))
240.0ms	(cbrt (- 1.0 (* y z)))
235.0ms	(cbrt (- 1.0 (* y z)))

simplify1.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (408.0ms)

Iter	Nodes	Cost
0	136	1519
1	340	1455
2	994	1334
3	3702	1140
done	5000	1140

prune240.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-*r/`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

58.0ms	(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
1.0ms	(cbrt (- 1.0 (* y z)))
1.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series758.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (* x (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z))))
241.0ms	(cbrt (- 1.0 (* y z)))
237.0ms	(cbrt (- 1.0 (* y z)))
231.0ms	(cbrt (- 1.0 (* y z)))

simplify843.0ms

Counts

101 → 101

Iterations

Useful iterations: done (839.0ms)

Iter	Nodes	Cost
0	168	2943
1	454	2810
2	1451	2452
done	5000	2329

prune292.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))

rewrite10.0ms

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:

1.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))
1.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series934.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt (- 1.0 (* y z)))
232.0ms	(cbrt (- 1.0 (* y z)))
236.0ms	(cbrt (- 1.0 (* y z)))
229.0ms	(cbrt (- 1.0 (* y z)))

simplify882.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (252.0ms)

Iter	Nodes	Cost
0	79	1248
1	199	1192
2	643	1120
3	2771	880
done	5000	880

prune262.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.7b

regimes184.0ms

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

sample404.0ms

Algorithm

intervals

Results

204.0ms

9544×

body

valid