Details

sample14.0ms

Algorithm

intervals

Results

6.0ms	327×	body	80	valid
1.0ms	11×	body	640	valid
0.0ms	6×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify64.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	31	9
3	67	9
4	106	9
5	121	9
done	121	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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

rewrite25.0ms

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:

2.0ms	(- 2.0 (* x 3.0))
14.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
7.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- 2.0 (* x 3.0))
83.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
52.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify2.4s

Counts

65 → 65

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	90	686
1	217	673
2	710	591
3	2990	574
done	5000	573

prune111.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

2.0ms	(- 6.0 (* 9.0 x))
7.0ms	(* x (- 6.0 (* 9.0 x)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- 6.0 (* 9.0 x))
70.0ms	(* x (- 6.0 (* 9.0 x)))

simplify1.6s

Counts

42 → 42

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	59	405
1	140	397
2	380	353
3	1288	353
done	5000	353

prune69.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `associate-r`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

2.0ms	(+ (* 6.0 x) (* (- (* x x)) 9.0))
4.0ms	(* (- (* x x)) 9.0)

series98.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (* 6.0 x) (* (- (* x x)) 9.0))
24.0ms	(* (- (* x x)) 9.0)

simplify3.4s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	64	421
1	177	383
2	741	325
3	4452	317
done	5000	317

prune81.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`distribute-lft-neg-out` `associate-l` `sqrt-prod`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

3 → 61

Calls

3 calls:

3.0ms	(+ (* 6.0 x) (* (* (- (* x x)) (sqrt 9.0)) (sqrt 9.0)))
13.0ms	(* (* (- (* x x)) (sqrt 9.0)) (sqrt 9.0))
6.0ms	(* (- (* x x)) (sqrt 9.0))

series276.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ (* 6.0 x) (* (* (- (* x x)) (sqrt 9.0)) (sqrt 9.0)))
92.0ms	(* (* (- (* x x)) (sqrt 9.0)) (sqrt 9.0))
63.0ms	(* (- (* x x)) (sqrt 9.0))

simplify939.0ms

Counts

70 → 70

Iterations

Useful iterations: done (937.0ms)

Iter	Nodes	Cost
0	92	915
1	263	681
2	1225	604
done	5001	602

prune131.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

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

sample355.0ms

Algorithm

intervals

Results

190.0ms	9833×	body	80	valid
26.0ms	314×	body	1280	valid
18.0ms	277×	body	640	valid
7.0ms	146×	body	320	valid
3.0ms	80×	body	160	valid