Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	319×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	32	7
3	44	7
4	48	7
done	48	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

12.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
3.0ms	(+ (* d1 3.0) (* d1 d2))

series78.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
38.0ms	(+ (* d1 3.0) (* d1 d2))

simplify1.3s

Counts

32 → 32

Iterations

Useful iterations: 3 (351.0ms)

Iter	Nodes	Cost
0	56	445
1	186	343
2	691	289
3	2679	285
done	5001	285

prune65.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:

30.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify1.2s

Counts

27 → 27

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	51	265
1	148	252
2	456	218
3	1874	218
done	5000	218

prune49.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

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:

7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
7.0ms	(cbrt (+ d3 (+ 3.0 d2)))
61.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (+ d3 (+ 3.0 d2)))
95.0ms	(cbrt (+ d3 (+ 3.0 d2)))
97.0ms	(cbrt (+ d3 (+ 3.0 d2)))
94.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

simplify922.0ms

Counts

117 → 117

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	136	1979
1	312	1798
2	792	1706
3	2078	1492
done	5001	1491

prune268.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))
0.7b	(/ (cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (cbrt (- d3 (+ 3.0 d2))))
2.7b	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
19.1b	(cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

rewrite99.0ms

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-/r/` `pow-sqr` `pow-prod-up` `associate-/l/` `associate--r+`
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:

58.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))
24.0ms	(/ (cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (cbrt (- d3 (+ 3.0 d2))))
3.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
2.0ms	(cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))
143.0ms	(/ (cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (cbrt (- d3 (+ 3.0 d2))))
37.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
148.0ms	(cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

simplify613.0ms

Counts

196 → 196

Iterations

Useful iterations: done (602.0ms)

Iter	Nodes	Cost
0	299	5118
1	598	4723
2	1587	4555
done	5000	4533

prune522.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes105.0ms

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	9	11
1	14	11
done	14	11

end0.0ms

sample505.0ms

Algorithm

intervals

Results

251.0ms	9608×	body	80	valid
19.0ms	216×	body	640	valid
11.0ms	101×	body	1280	valid
11.0ms	152×	body	320	valid
4.0ms	86×	body	160	valid