Details

sample39.0ms

Algorithm

intervals

Results

19.0ms	336×	body	80	valid
2.0ms	11×	body	1280	valid
2.0ms	13×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify146.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	7	163
1	14	163
2	31	123
3	74	123
4	139	123
5	164	123
done	164	123

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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)))

rewrite86.0ms

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:

8.0ms	(- 2.0 (* x 3.0))
49.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
26.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- 2.0 (* x 3.0))
139.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
92.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify4.5s

Counts

65 → 65

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	90	13706
1	234	11938
2	747	11178
3	4258	10898
done	5003	10898

prune224.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

22.0ms

(* (- 6.0 (* 9.0 x)) x)

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(* (- 6.0 (* 9.0 x)) x)

simplify2.1s

Counts

23 → 23

Iterations

Useful iterations: 3 (640.0ms)

Iter	Nodes	Cost
0	47	5204
1	118	4319
2	390	4319
3	1876	4119
done	5006	4119

prune84.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)))
0.3b	(* (* x 3.0) (* x 3.0))

rewrite108.0ms

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:

36.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
22.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
21.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
24.0ms	(* (* x 3.0) (* x 3.0))

series590.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
93.0ms	(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
180.0ms	(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
29.0ms	(* (* x 3.0) (* x 3.0))

simplify3.3s

Counts

125 → 125

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	166	34277
1	494	30278
2	2044	27395
done	5002	24469

prune490.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 6.0 x) (* 9.0 (* x x)))
0.2b	(* 9.0 (* x x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

7.0ms	(- (* 6.0 x) (* 9.0 (* x x)))
13.0ms	(* 9.0 (* x x))

series154.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(- (* 6.0 x) (* 9.0 (* x x)))
42.0ms	(* 9.0 (* x x))

simplify2.6s

Counts

37 → 37

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	58	8000
1	173	6463
2	540	5823
3	2501	5823
done	5000	5823

prune147.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	163
1	9	163
done	9	163

end0.0ms

sample840.0ms

Algorithm

intervals

Results

524.0ms	9936×	body	80	valid
56.0ms	322×	body	1280	valid
41.0ms	268×	body	640	valid
14.0ms	133×	body	320	valid
5.0ms	69×	body	160	valid