Details

sample42.0ms

Algorithm

intervals

Results

18.0ms	310×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	9	11
1	20	9
2	40	7
3	57	7
done	57	7

prune9.0ms

Pruning

2 alts after pruning (2 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)

rewrite140.0ms

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:

139.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify3.0s

Counts

25 → 25

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	48	257
1	238	248
2	2677	214
done	5000	214

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

40.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
8.0ms	(+ (* d1 3.0) (* d1 d2))

series129.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
55.0ms	(+ (* d1 3.0) (* d1 d2))

simplify3.8s

Counts

32 → 32

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	56	445
1	397	339
2	4338	285
done	5000	285

prune84.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite311.0ms

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:

201.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
33.0ms	(cbrt (+ (+ 3.0 d2) d3))
40.0ms	(cbrt (+ (+ 3.0 d2) d3))
33.0ms	(cbrt (+ (+ 3.0 d2) d3))

series596.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
155.0ms	(cbrt (+ (+ 3.0 d2) d3))
149.0ms	(cbrt (+ (+ 3.0 d2) d3))
152.0ms	(cbrt (+ (+ 3.0 d2) d3))

simplify4.4s

Counts

117 → 117

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	136	1979
1	728	1812
done	5000	1594

prune431.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.6b	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
3.2b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
21.0b	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

97×	`cbrt-prod`
87×	`*-un-lft-identity`
63×	`times-frac`
58×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
20×	`difference-of-squares`
16×	`distribute-lft-out--`
11×	`distribute-lft-out`
9×	`associate-/r*`
8×	`cbrt-div`
7×	`associate-/l*`
6×	`add-exp-log` `add-log-exp`
4×	`pow1` `flip3--` `add-cbrt-cube` `flip--`
2×	`pow1/3` `associate--l+` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 139

Calls

4 calls:

16.0ms	(cbrt (+ (+ 3.0 d2) d3))
104.0ms	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
20.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
31.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series547.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ (+ 3.0 d2) d3))
200.0ms	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
52.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
159.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify2.0s

Counts

151 → 151

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	254	4190
1	1285	3932
done	5000	3778

prune761.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

643.0ms	9537×	body	80	valid
462.0ms	224×	body	640	valid
23.0ms	104×	body	1280	valid
19.0ms	134×	body	320	valid
10.0ms	104×	body	160	valid