Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

317×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

14.0ms	(+ x (* (- y x) z))
44.0ms	(* (- y x) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* (- y x) z))
48.0ms	(* (- y x) z)

simplify1.7s

Counts

39 → 39

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	68	357
1	164	337
2	504	303
3	1864	303
done	5000	303

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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:

57.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
9.0ms	(cbrt (- y x))
6.0ms	(cbrt (- y x))
5.0ms	(cbrt (- y x))

series811.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
219.0ms	(cbrt (- y x))
203.0ms	(cbrt (- y x))
198.0ms	(cbrt (- y x))

simplify3.1s

Counts

113 → 113

Iterations

Useful iterations: done (3.1s)

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

prune471.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (pow (cbrt (- y x)) 2))
0.5b	(cbrt (pow (cbrt (- y x)) 2))
0.5b	(cbrt (pow (cbrt (- y x)) 2))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

59×	`cbrt-prod`
24×	`unpow-prod-down`
22×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`unpow2` `sqr-pow`
2×	`cbrt-div`
1×	`flip3--` `flip--`

Counts

4 → 78

Calls

4 calls:

4.0ms	(cbrt (- y x))
22.0ms	(cbrt (pow (cbrt (- y x)) 2))
10.0ms	(cbrt (pow (cbrt (- y x)) 2))
13.0ms	(cbrt (pow (cbrt (- y x)) 2))

series766.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (- y x))
155.0ms	(cbrt (pow (cbrt (- y x)) 2))
213.0ms	(cbrt (pow (cbrt (- y x)) 2))
186.0ms	(cbrt (pow (cbrt (- y x)) 2))

simplify3.4s

Counts

90 → 90

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	123	1158
1	266	1039
2	530	962
3	1199	937
4	3730	922
done	5001	919

prune429.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
2.2b	(- (* y y) (* x x))
21.3b	(cbrt (- (* y y) (* x x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`
3×	`pow1/3`
2×	`distribute-lft-out--`
1×	`sub-neg` `diff-log`

Counts

4 → 57

Calls

4 calls:

10.0ms	(cbrt (- y x))
9.0ms	(cbrt (- y x))
19.0ms	(- (* y y) (* x x))
13.0ms	(cbrt (- (* y y) (* x x)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (- y x))
206.0ms	(cbrt (- y x))
58.0ms	(- (* y y) (* x x))
162.0ms	(cbrt (- (* y y) (* x x)))

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	118	802
1	256	772
2	619	706
3	1636	679
done	5001	645

prune440.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

414.0ms

10115×

body

valid