Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

309×

body

valid

simplify41.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
3.7b	(* x (- 1.0 (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

7.0ms	(- 1.0 (* y z))
17.0ms	(* x (- 1.0 (* y z)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- 1.0 (* y z))
70.0ms	(* x (- 1.0 (* y z)))

simplify1.6s

Counts

42 → 42

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	60	399
1	144	391
2	389	349
3	1303	349
done	5001	349

prune93.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize13.0ms

Local error

Found 4 expressions with local error:

3.7b	(* 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)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

159.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (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)))

series902.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
288.0ms	(cbrt (- 1.0 (* y z)))
279.0ms	(cbrt (- 1.0 (* y z)))
278.0ms	(cbrt (- 1.0 (* y z)))

simplify2.5s

Counts

98 → 98

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	177	2397
1	426	2337
2	1194	1903
3	3755	1645
done	5000	1603

prune324.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.7b

localize26.0ms

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)))

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

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

370.0ms	(cbrt (- 1.0 (* y z)))
282.0ms	(cbrt (- 1.0 (* y z)))
341.0ms	(cbrt (- 1.0 (* y z)))
283.0ms	(cbrt (- 1.0 (* y z)))

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: done (1.4s)

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

prune303.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.7b

localize30.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (- 1.0 (* y z)))
3.8b	(cbrt (- 1.0 (* y z)))
3.9b	(cbrt (+ 1.0 (* y z)))
11.1b	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`flip3-+` `flip-+` `difference-of-squares`

Counts

4 → 53

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

359.0ms	(cbrt (- 1.0 (* y z)))
326.0ms	(cbrt (- 1.0 (* y z)))
297.0ms	(cbrt (+ 1.0 (* y z)))
152.0ms	(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

simplify1.3s

Counts

65 → 65

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	149	1268
1	378	1200
2	1274	1107
done	5001	950

prune438.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 3.7b

regimes350.0ms

Accuracy

0% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample894.0ms

Algorithm

intervals

Results

363.0ms

9596×

body

valid