Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

322×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	28	9
3	55	9
4	84	9
5	109	9
6	126	9
7	143	9
8	194	9
9	296	9
10	416	9
11	464	9
12	523	9
13	575	9
14	590	9
15	626	9
16	713	9
17	926	9
18	1147	9
19	1430	9
20	1607	9
21	1611	9
done	1611	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) 6.0)
0.7b	(* (* (- y x) 6.0) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

9.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series71.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- y x) 6.0)
41.0ms	(* (* (- y x) 6.0) z)

simplify1.7s

Counts

48 → 48

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	79	424
1	187	406
2	718	340
3	3097	340
done	5000	340

prune92.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- y x) (* 6.0 z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

13.0ms

(* (- y x) (* 6.0 z))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (- y x) (* 6.0 z))

simplify1.4s

Counts

25 → 25

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	56	248
1	148	241
2	477	195
3	1809	195
done	5000	195

prune43.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- y x)) (cbrt (- y x)))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))

rewrite28.0ms

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:

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

series552.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
144.0ms	(cbrt (- y x))
144.0ms	(cbrt (- y x))
144.0ms	(cbrt (- y x))

simplify2.3s

Counts

113 → 113

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	631	1223
3	1586	1128
4	4525	1080
done	5000	1080

prune282.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
3.6b	(cbrt (* (- y x) (* 6.0 z)))
3.6b	(cbrt (* (- y x) (* 6.0 z)))
3.6b	(cbrt (* (- y x) (* 6.0 z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

15.0ms	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
6.0ms	(cbrt (* (- y x) (* 6.0 z)))
9.0ms	(cbrt (* (- y x) (* 6.0 z)))
6.0ms	(cbrt (* (- y x) (* 6.0 z)))

series786.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
182.0ms	(cbrt (* (- y x) (* 6.0 z)))
183.0ms	(cbrt (* (- y x) (* 6.0 z)))
179.0ms	(cbrt (* (- y x) (* 6.0 z)))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: 3 (498.0ms)

Iter	Nodes	Cost
0	160	1610
1	375	1491
2	1061	1367
3	3392	1232
done	5001	1232

prune270.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample448.0ms

Algorithm

intervals

Results

237.0ms

10059×

body

valid