Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	313×	body	80	valid
1.0ms	9×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	160	valid

simplify65.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	34	7
3	51	7
4	59	7
done	59	7

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

111.0ms

(* d1 (+ (+ 3.0 d2) d3))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify1.9s

Counts

27 → 27

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	51	265
1	150	252
2	539	218
3	2806	218
done	5000	218

prune93.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ (+ 3.0 d2) d3) d1)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

108.0ms

(* (+ (+ 3.0 d2) d3) d1)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (+ (+ 3.0 d2) d3) d1)

simplify2.3s

Counts

25 → 25

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	48	257
1	126	248
2	519	214
3	2671	214
done	5000	214

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
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 → 105

Calls

4 calls:

21.0ms	(cbrt (+ (+ 3.0 d2) d3))
17.0ms	(cbrt (+ (+ 3.0 d2) d3))
23.0ms	(cbrt (+ (+ 3.0 d2) d3))
250.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (+ (+ 3.0 d2) d3))
137.0ms	(cbrt (+ (+ 3.0 d2) d3))
182.0ms	(cbrt (+ (+ 3.0 d2) d3))
172.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

simplify1.7s

Counts

117 → 117

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	136	1979
1	307	1812
2	790	1714
3	2024	1492
done	5000	1461

prune439.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
0.6b	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
2.3b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
22.2b	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
128×	`cbrt-prod`
73×	`add-sqr-sqrt`
63×	`times-frac`
49×	`add-cube-cbrt`
32×	`distribute-lft-out`
20×	`difference-of-squares`
18×	`cbrt-div`
16×	`distribute-lft-out--`
14×	`swap-sqr`
11×	`pow1`
9×	`associate-/r*`
8×	`add-exp-log` `associate-r` `associate-l`
7×	`pow1/3` `associate-/l*`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `add-cbrt-cube` `flip--` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 184

Calls

4 calls:

195.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
113.0ms	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
20.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
32.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
280.0ms	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
57.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
151.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify1.7s

Counts

196 → 196

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	292	5125
1	578	4744
2	1531	4560
done	5000	4391

prune842.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

567.0ms	9535×	body	80	valid
60.0ms	167×	body	320	valid
49.0ms	94×	body	1280	valid
37.0ms	207×	body	640	valid
8.0ms	87×	body	160	valid