Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	296×	body	80	valid
1.0ms	12×	body	1280	valid
1.0ms	13×	body	640	valid
0.0ms	7×	body	320	valid

simplify73.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	31	9
3	74	9
4	134	9
5	170	9
done	170	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

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)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

2.0ms	(- 2.0 (* x 3.0))
8.0ms	(* 3.0 (- 2.0 (* x 3.0)))
12.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series183.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 2.0 (* x 3.0))
60.0ms	(* 3.0 (- 2.0 (* x 3.0)))
88.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify568.0ms

Counts

83 → 83

Iterations

Useful iterations: done (566.0ms)

Iter	Nodes	Cost
0	113	917
1	266	903
2	1064	779
done	5001	773

prune146.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

8.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify1.3s

Counts

25 → 25

Iterations

Useful iterations: 3 (198.0ms)

Iter	Nodes	Cost
0	49	253
1	119	250
2	448	222
3	2238	215
done	5001	215

prune57.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `prod-diff` `flip--` `log1p-expm1-u`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
8.0ms	(* (- 2.0 (* x 3.0)) x)
14.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series198.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 2.0 (* x 3.0))
73.0ms	(* (- 2.0 (* x 3.0)) x)
89.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify2.8s

Counts

73 → 73

Iterations

Useful iterations: 3 (401.0ms)

Iter	Nodes	Cost
0	101	768
1	236	756
2	841	650
3	4655	634
done	5000	634

prune141.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.4b	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
0.5b	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`associate-l`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r/` `associate-l/` `sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`fma-neg` `prod-diff` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

2.0ms	(- 2.0 (* x 3.0))
7.0ms	(* (- 2.0 (* x 3.0)) x)
13.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
37.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 2.0 (* x 3.0))
74.0ms	(* (- 2.0 (* x 3.0)) x)
146.0ms	(* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x))
193.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* (- 2.0 (* x 3.0)) x)))

simplify548.0ms

Counts

107 → 107

Iterations

Useful iterations: done (545.0ms)

Iter	Nodes	Cost
0	132	1404
1	329	1240
2	1308	1040
done	5000	1022

prune187.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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	7
1	8	7
done	8	7

end0.0ms

sample353.0ms

Algorithm

intervals

Results

183.0ms	9825×	body	80	valid
30.0ms	373×	body	1280	valid
19.0ms	299×	body	640	valid
6.0ms	117×	body	320	valid
3.0ms	77×	body	160	valid