Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	238×	body	80	valid
5.0ms	31×	body	640	valid
5.0ms	27×	body	1280	valid
1.0ms	7×	body	2560	valid
1.0ms	19×	body	160	valid
1.0ms	12×	body	320	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (301.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	68	9
3	209	7
4	1689	5
done	5000	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

30.0ms

(* (- x z) y)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (- x z) y)

simplify5.0s

Counts

25 → 25

Iterations

Useful iterations: 3 (720.0ms)

Iter	Nodes	Cost
0	49	185
1	110	178
2	431	160
3	4801	158
done	5000	158

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

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:

4.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))
5.0ms	(cbrt (- x z))
46.0ms	(* (cbrt (- x z)) (cbrt (- x z)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (- x z))
157.0ms	(cbrt (- x z))
154.0ms	(cbrt (- x z))
137.0ms	(* (cbrt (- x z)) (cbrt (- x z)))

simplify777.0ms

Counts

113 → 113

Iterations

Useful iterations: done (774.0ms)

Iter	Nodes	Cost
0	131	1384
1	285	1281
2	986	1223
done	5000	1179

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

390×	`cbrt-div`
136×	`frac-times`
111×	`flip3--` `flip--`
68×	`associate-*l/`
44×	`cbrt-prod`
26×	`associate-*r/`
20×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`pow1/3`
15×	`pow1`
13×	`add-exp-log` `add-cube-cbrt`
9×	`pow-prod-down`
8×	`associate-r` `pow-prod-up`
6×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`pow-plus` `pow-sqr`
1×	`swap-sqr` `associate-l` `*-commutative`

Counts

4 → 166

Calls

4 calls:

324.0ms	(* (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))) (cbrt (- x z)))
5.0ms	(cbrt (cbrt (- x z)))
5.0ms	(cbrt (cbrt (- x z)))
5.0ms	(cbrt (cbrt (- x z)))

series703.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))) (cbrt (- x z)))
167.0ms	(cbrt (cbrt (- x z)))
193.0ms	(cbrt (cbrt (- x z)))
205.0ms	(cbrt (cbrt (- x z)))

simplify1.0s

Counts

178 → 178

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	297	5664
1	732	5443
2	2207	4865
done	5001	4687

prune720.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt (- x z)) y)
0.2b	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-l`
15×	`add-sqr-sqrt`
14×	`sqrt-div`
11×	`*-un-lft-identity` `sqrt-prod`
10×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

35.0ms	(* (sqrt (- x z)) y)
112.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series150.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* (sqrt (- x z)) y)
56.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify678.0ms

Counts

63 → 63

Iterations

Useful iterations: done (675.0ms)

Iter	Nodes	Cost
0	103	843
1	259	773
2	1016	581
done	5000	577

prune139.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.1s

Algorithm

intervals

Results

694.0ms	7031×	body	80	valid
276.0ms	843×	body	640	valid
262.0ms	999×	body	1280	valid
195.0ms	530×	body	320	valid
87.0ms	517×	body	160	valid
55.0ms	194×	body	2560	valid