Details

sample58.0ms

Algorithm

intervals

Results

9.0ms

331×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	42	7
5	49	7
6	58	7
7	76	7
8	96	7
9	118	7
10	134	7
11	148	7
12	156	7
13	170	7
14	185	7
15	200	7
16	262	7
17	299	7
18	382	7
19	410	7
20	457	7
21	461	7
done	461	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

41.0ms	(* y (- z x))
18.0ms	(+ x (* y (- z x)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* y (- z x))
63.0ms	(+ x (* y (- z x)))

simplify1.8s

Counts

47 → 47

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	73	409
1	173	381
2	505	351
3	2215	351
done	5000	351

prune92.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

16.0ms	(+ (* z y) x)
70.0ms	(+ (+ (* z y) x) (* (- x) y))

series70.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* z y) x)
38.0ms	(+ (+ (* z y) x) (* (- x) y))

simplify2.0s

Counts

32 → 32

Iterations

Useful iterations: 3 (667.0ms)

Iter	Nodes	Cost
0	51	369
1	162	335
2	608	314
3	2459	273
done	5001	273

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z x)) (cbrt (- z x)))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

76.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
4.0ms	(cbrt (- z x))
4.0ms	(cbrt (- z x))
5.0ms	(cbrt (- z x))

series912.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
257.0ms	(cbrt (- z x))
252.0ms	(cbrt (- z x))
214.0ms	(cbrt (- z x))

simplify3.2s

Counts

113 → 113

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	617	1223
3	1340	1128
4	3525	1080
done	5000	1032

prune393.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.5b	(cbrt (cbrt (- z x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
17×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 63

Calls

4 calls:

8.0ms	(cbrt (- z x))
8.0ms	(cbrt (- z x))
9.0ms	(cbrt (- z x))
10.0ms	(cbrt (cbrt (- z x)))

series787.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (- z x))
192.0ms	(cbrt (- z x))
201.0ms	(cbrt (- z x))
193.0ms	(cbrt (cbrt (- z x)))

simplify1.9s

Counts

75 → 75

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	110	805
1	225	786
2	453	752
3	984	711
4	2516	648
done	5000	631

prune378.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	18	10
3	19	10
done	19	10

end0.0ms

sample908.0ms

Algorithm

intervals

Results

364.0ms

10090×

body

valid