Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	307×	body	80	valid
1.0ms	5×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	45	7
3	72	7
4	83	7
5	84	7
done	84	7

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite72.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

71.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify2.1s

Counts

29 → 29

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	53	281
1	155	265
2	576	234
3	2961	234
done	5001	234

prune88.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

41.0ms	(* (+ 3.0 d2) d1)
9.0ms	(+ (* d3 d1) (* (+ 3.0 d2) d1))

series96.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (+ 3.0 d2) d1)
55.0ms	(+ (* d3 d1) (* (+ 3.0 d2) d1))

simplify2.9s

Counts

44 → 44

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	73	435
1	208	370
2	766	338
3	3237	337
done	5000	336

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 3.0 d2))
0.2b	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
0.3b	(* (cbrt (+ 3.0 d2)) d1)
0.3b	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

rewrite219.0ms

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×	`associate-r` `pow-prod-down` `add-cbrt-cube`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`swap-sqr`
8×	`distribute-lft-out`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 148

Calls

4 calls:

4.0ms	(cbrt (+ 3.0 d2))
71.0ms	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
23.0ms	(* (cbrt (+ 3.0 d2)) d1)
114.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

series621.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (+ 3.0 d2))
132.0ms	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
321.0ms	(* (cbrt (+ 3.0 d2)) d1)
43.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

simplify1.9s

Counts

160 → 160

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	265	2917
1	697	2704
2	2022	2365
done	5001	2161

prune580.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (+ 3.0 d2)))
0.3b	(cbrt (cbrt (+ 3.0 d2)))
0.3b	(cbrt (cbrt (+ 3.0 d2)))
0.3b	(* (* (cbrt (cbrt (+ 3.0 d2))) (cbrt (cbrt (+ 3.0 d2)))) (* (cbrt (cbrt (+ 3.0 d2))) d1))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

120×	`cbrt-div`
33×	`cbrt-prod`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
16×	`pow1` `add-exp-log` `*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 107

Calls

4 calls:

13.0ms	(cbrt (cbrt (+ 3.0 d2)))
10.0ms	(cbrt (cbrt (+ 3.0 d2)))
9.0ms	(cbrt (cbrt (+ 3.0 d2)))
140.0ms	(* (* (cbrt (cbrt (+ 3.0 d2))) (cbrt (cbrt (+ 3.0 d2)))) (* (cbrt (cbrt (+ 3.0 d2))) d1))

series715.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (cbrt (+ 3.0 d2)))
141.0ms	(cbrt (cbrt (+ 3.0 d2)))
153.0ms	(cbrt (cbrt (+ 3.0 d2)))
304.0ms	(* (* (cbrt (cbrt (+ 3.0 d2))) (cbrt (cbrt (+ 3.0 d2)))) (* (cbrt (cbrt (+ 3.0 d2))) d1))

simplify3.5s

Counts

119 → 119

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	218	2678
1	580	2554
2	1526	2182
3	3896	1927
done	5000	1921

prune649.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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	8	9
1	12	9
done	12	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

606.0ms	9574×	body	80	valid
41.0ms	82×	body	160	valid
35.0ms	210×	body	640	valid
27.0ms	164×	body	320	valid
14.0ms	72×	body	1280	valid