Details

sample35.0ms

Algorithm

intervals

Results

18.0ms	310×	body	80	valid
2.0ms	12×	body	640	valid
1.0ms	9×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	2×	body	160	valid

simplify221.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	32	9
3	76	9
4	163	9
5	212	9
6	222	9
7	224	9
done	224	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

6.0ms	(- 2.0 (* x 3.0))
17.0ms	(* 3.0 (- 2.0 (* x 3.0)))
42.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series251.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- 2.0 (* x 3.0))
87.0ms	(* 3.0 (- 2.0 (* x 3.0)))
114.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify857.0ms

Counts

65 → 65

Iterations

Useful iterations: done (855.0ms)

Iter	Nodes	Cost
0	90	686
1	235	673
2	1215	587
done	5000	579

prune145.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.1b	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.3b	(* (* x 3.0) (* x 3.0))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
32×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
15×	`add-sqr-sqrt`
14×	`prod-exp` `cbrt-unprod`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`times-frac`
4×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`associate-/r` `-commutative`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `pow-plus` `flip--` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `swap-sqr` `associate-l/` `clear-num` `associate-/l` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

54.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
50.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
47.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
47.0ms	(* (* x 3.0) (* x 3.0))

series615.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
131.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
197.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
34.0ms	(* (* x 3.0) (* x 3.0))

simplify1.8s

Counts

125 → 125

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	166	2264
1	509	2138
2	3090	1728
done	5000	1722

prune285.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 6.0 x) (* 9.0 (pow x 2)))
0.3b	(* 9.0 (pow x 2))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 39

Calls

2 calls:

16.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
30.0ms	(* 9.0 (pow x 2))

series154.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
46.0ms	(* 9.0 (pow x 2))

simplify663.0ms

Counts

45 → 45

Iterations

Useful iterations: done (661.0ms)

Iter	Nodes	Cost
0	74	452
1	183	412
2	729	367
done	5001	335

prune102.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
0.2b	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
0.8b	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`sub-neg` `associate-r` `sqrt-prod`
6×	`add-log-exp`
4×	`flip3--` `flip--`
3×	`*-commutative`
2×	`associate-*l/` `unswap-sqr`
1×	`diff-log`

Counts

4 → 94

Calls

4 calls:

10.0ms	(- 2.0 (* x 3.0))
28.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
136.0ms	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
46.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

series590.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 2.0 (* x 3.0))
118.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
263.0ms	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
172.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	126	1514
1	364	1427
2	2227	1031
done	5000	1013

prune530.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample835.0ms

Algorithm

intervals

Results

467.0ms	9974×	body	80	valid
50.0ms	319×	body	1280	valid
42.0ms	133×	body	320	valid
36.0ms	278×	body	640	valid
5.0ms	72×	body	160	valid