Details

sample42.0ms

Algorithm

intervals

Results

24.0ms	299×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify67.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	62
5	62
4	61
3	49
2	33
1	18
0	9

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ 3 d3)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

41.0ms

(* d1 (+ d2 (+ 3 d3)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* d1 (+ d2 (+ 3 d3)))

simplify1.0s

Counts

28 → 28

Iterations

Iter	Nodes
done	2012
3	2012
2	623
1	164
0	51

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ 3 d3) d1)
0.0b	(+ (* d2 d1) (* (+ 3 d3) d1))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

14.0ms	(* (+ 3 d3) d1)
9.0ms	(+ (* d2 d1) (* (+ 3 d3) d1))

series82.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (+ 3 d3) d1)
35.0ms	(+ (* d2 d1) (* (+ 3 d3) d1))

simplify1.0s

Counts

41 → 41

Iterations

Iter	Nodes
done	2005
3	2005
2	649
1	200
0	68

prune392.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3 d3))
0.3b	(* (cbrt (+ 3 d3)) d1)
0.3b	(* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))
0.3b	(* (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))) (* (cbrt (+ 3 d3)) d1))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
36×	`associate-*l/`
35×	`flip3-+` `flip-+`
34×	`*-un-lft-identity`
33×	`cbrt-prod`
32×	`frac-times`
28×	`add-sqr-sqrt`
25×	`pow1`
20×	`add-exp-log`
16×	`add-cube-cbrt`
15×	`associate-l`
11×	`add-cbrt-cube` `associate-r` `pow-prod-down`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`swap-sqr`
8×	`distribute-lft-out`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 144

Calls

4 calls:

5.0ms	(cbrt (+ 3 d3))
30.0ms	(* (cbrt (+ 3 d3)) d1)
46.0ms	(* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))
71.0ms	(* (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))) (* (cbrt (+ 3 d3)) d1))

series380.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (+ 3 d3))
193.0ms	(* (cbrt (+ 3 d3)) d1)
81.0ms	(* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))
52.0ms	(* (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))) (* (cbrt (+ 3 d3)) d1))

simplify1.5s

Counts

156 → 156

Iterations

Iter	Nodes
done	2004
3	2004
2	1714
1	639
0	229

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))
0.3b	(cbrt (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))))
0.3b	(* (cbrt (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))) (* (cbrt (cbrt (+ 3 d3))) d1))
0.3b	(* (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))) (* (cbrt (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))) (* (cbrt (cbrt (+ 3 d3))) d1)))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

1316×	`cbrt-div`
604×	`frac-times`
444×	`flip3-+` `flip-+`
386×	`associate-*l/`
164×	`associate-*r/`
37×	`pow1`
32×	`add-exp-log`
27×	`*-un-lft-identity`
26×	`cbrt-prod`
21×	`add-sqr-sqrt`
20×	`pow-prod-down`
19×	`prod-exp` `cbrt-unprod`
15×	`add-cbrt-cube`
13×	`add-cube-cbrt`
12×	`associate-l`
9×	`swap-sqr` `associate-r`
7×	`pow1/3`
6×	`distribute-lft-out`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 389

Calls

4 calls:

32.0ms	(* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))
8.0ms	(cbrt (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))))
47.0ms	(* (cbrt (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))) (* (cbrt (cbrt (+ 3 d3))) d1))
182.0ms	(* (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))) (* (cbrt (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))) (* (cbrt (cbrt (+ 3 d3))) d1)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))
46.0ms	(cbrt (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))))
167.0ms	(* (cbrt (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))) (* (cbrt (cbrt (+ 3 d3))) d1))
54.0ms	(* (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3))) (* (cbrt (* (cbrt (+ 3 d3)) (cbrt (+ 3 d3)))) (* (cbrt (cbrt (+ 3 d3))) d1)))

simplify1.4s

Counts

401 → 401

Iterations

Iter	Nodes
done	2000
1	2000
0	625

prune8.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s	9500×	body	80	valid
103.0ms	233×	body	640	valid
38.0ms	145×	body	320	valid
35.0ms	83×	body	1280	valid
16.0ms	93×	body	160	valid