Details

sample123.0ms

Algorithm

intervals

Results

78.0ms	171×	body	1280	valid
12.0ms	49×	body	640	valid
10.0ms	226×	body	80	valid
4.0ms	26×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2899
9	809
8	249
7	88
6	71
5	62
4	56
3	40
2	26
1	14
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.8b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

8.0ms	(- (exp x) 2.0)
71.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (exp x) 2.0)
93.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify542.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	825
1	215
0	93

prune168.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* (pow x 6) 1/360) (* x x)) (* 1/12 (pow x 4)))
0.1b	(* (pow x 6) 1/360)
0.1b	(* 1/12 (pow x 4))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-exp-log`
10×	`associate-r` `associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube`
6×	`prod-exp` `unswap-sqr`
4×	`sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

3 → 63

Calls

3 calls:

33.0ms	(+ (+ (* (pow x 6) 1/360) (* x x)) (* 1/12 (pow x 4)))
10.0ms	(* (pow x 6) 1/360)
17.0ms	(* 1/12 (pow x 4))

series254.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ (+ (* (pow x 6) 1/360) (* x x)) (* 1/12 (pow x 4)))
87.0ms	(* (pow x 6) 1/360)
56.0ms	(* 1/12 (pow x 4))

simplify596.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1304
1	300
0	121

prune278.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 6) 1/360)
0.1b	(* (pow x 4) 1/12)
0.1b	(pow (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12)) 3)
21.7b	(cbrt (pow (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12)) 3))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
15×	`add-exp-log`
14×	`unpow-prod-down` `associate-l`
12×	`cbrt-prod`
9×	`add-cbrt-cube`
6×	`cube-prod` `associate-r` `prod-exp` `unswap-sqr` `sqr-pow`
5×	`pow1`
4×	`cube-div` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-exp`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `*-commutative` `cbrt-unprod` `flip-+`
1×	`pow-pow` `pow1/3` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 98

Calls

4 calls:

17.0ms	(* (pow x 6) 1/360)
17.0ms	(* (pow x 4) 1/12)
63.0ms	(pow (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12)) 3)
26.0ms	(cbrt (pow (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12)) 3))

series343.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (pow x 6) 1/360)
51.0ms	(* (pow x 4) 1/12)
127.0ms	(pow (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12)) 3)
91.0ms	(cbrt (pow (+ (+ (* x x) (* (pow x 6) 1/360)) (* (pow x 4) 1/12)) 3))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	2639
1	477
0	180

prune516.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.3s	5695×	body	1280	valid
778.0ms	1263×	body	640	valid
440.0ms	7995×	body	80	valid
150.0ms	618×	body	320	valid
90.0ms	287×	body	160	valid