Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	296×	body	80	valid
3.0ms	19×	body	640	valid
3.0ms	13×	body	1280	valid
1.0ms	5×	body	320	valid

simplify280.0ms

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: 0.3b

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

rewrite75.0ms

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:

7.0ms	(- 2.0 (* x 3.0))
37.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
28.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- 2.0 (* x 3.0))
138.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
79.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify994.0ms

Counts

65 → 65

Iterations

Useful iterations: done (992.0ms)

Iter	Nodes	Cost
0	90	686
1	236	673
2	1217	587
done	5000	581

prune245.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

18.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify3.1s

Counts

27 → 27

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	51	273
1	133	270
2	569	244
3	4564	238
done	5000	238

prune131.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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))))

rewrite302.0ms

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))
40.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
169.0ms	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
79.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

series626.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- 2.0 (* x 3.0))
134.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
272.0ms	(* (* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0)))) x)
177.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (- 2.0 (* x 3.0))))

simplify1.6s

Counts

106 → 106

Iterations

Useful iterations: done (1.6s)

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

prune364.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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)))
0.3b	(* (* (sqrt 3.0) (- 2.0 (* x 3.0))) x)
0.5b	(* (sqrt 3.0) (* (* (sqrt 3.0) (- 2.0 (* x 3.0))) x))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

5.0ms	(- 2.0 (* x 3.0))
29.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
60.0ms	(* (* (sqrt 3.0) (- 2.0 (* x 3.0))) x)
177.0ms	(* (sqrt 3.0) (* (* (sqrt 3.0) (- 2.0 (* x 3.0))) x))

series632.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- 2.0 (* x 3.0))
135.0ms	(* (sqrt 3.0) (- 2.0 (* x 3.0)))
178.0ms	(* (* (sqrt 3.0) (- 2.0 (* x 3.0))) x)
266.0ms	(* (sqrt 3.0) (* (* (sqrt 3.0) (- 2.0 (* x 3.0))) x))

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	120	1362
1	339	1301
2	2139	1046
done	5001	1026

prune275.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
done	12	11

end0.0ms

sample958.0ms

Algorithm

intervals

Results

425.0ms	9734×	body	80	valid
133.0ms	314×	body	1280	valid
85.0ms	286×	body	640	valid
17.0ms	148×	body	320	valid
5.0ms	63×	body	160	valid