Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	309×	body	80	valid
3.0ms	13×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify147.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	7	163
1	14	163
2	32	123
3	76	123
4	166	123
5	216	123
6	221	123
done	221	123

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `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:

4.0ms	(- 2.0 (* x 3.0))
24.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
15.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- 2.0 (* x 3.0))
106.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
92.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	90	13706
1	235	11938
2	1205	11138
done	5000	11018

prune218.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* (- 6.0 (* 9.0 x)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

8.0ms	(- 6.0 (* 9.0 x))
20.0ms	(* (- 6.0 (* 9.0 x)) x)

series140.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 6.0 (* 9.0 x))
103.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify788.0ms

Counts

38 → 38

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	57	7914
1	140	6658
2	661	6578
done	5000	6458

prune146.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

4.0ms	(- 2.0 (* x 3.0))
37.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))
22.0ms	(* (- 2.0 (* x 3.0)) x)

series250.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- 2.0 (* x 3.0))
111.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))
89.0ms	(* (- 2.0 (* x 3.0)) x)

simplify876.0ms

Counts

61 → 61

Iterations

Useful iterations: done (869.0ms)

Iter	Nodes	Cost
0	86	13844
1	212	11604
2	973	10644
done	5001	10404

prune206.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

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))))
0.2b	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.4b	(* (* x 3.0) (* x 3.0))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

50.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
31.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
33.0ms	(/ (* 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))

series649.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
124.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
203.0ms	(/ (* 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))

simplify2.7s

Counts

125 → 125

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	166	34277
1	509	30278
2	3093	26995
done	5001	26595

prune494.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

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	6	123
1	8	123
done	8	123

end0.0ms

sample1.1s

Algorithm

intervals

Results

821.0ms	9844×	body	80	valid
71.0ms	344×	body	1280	valid
37.0ms	281×	body	640	valid
16.0ms	159×	body	320	valid
4.0ms	54×	body	160	valid