Details

sample139.0ms

Algorithm

intervals

Results

89.0ms	174×	body	1280	valid
12.0ms	45×	body	640	valid
12.0ms	271×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid

simplify174.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	49	8
5	54	8
6	63	8
7	80	8
8	95	8
9	103	8
10	111	8
done	111	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.1b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

15.0ms	(- (exp x) 2.0)
67.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- (exp x) 2.0)
101.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.8s

Counts

41 → 41

Iterations

Useful iterations: 3 (589.0ms)

Iter	Nodes	Cost
0	93	511
1	204	465
2	579	445
3	2107	432
done	5000	432

prune145.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

40.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
24.0ms	(* 1/360 (pow x 6))
13.0ms	(* 1/12 (pow x 4))

series229.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
96.0ms	(* 1/360 (pow x 6))
63.0ms	(* 1/12 (pow x 4))

simplify3.3s

Counts

73 → 73

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	120	818
1	284	739
2	786	691
3	3607	673
done	5000	673

prune290.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))
0.2b	(pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3)
22.0b	(cbrt (pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
16×	`add-cube-cbrt` `unpow-prod-down`
15×	`add-exp-log`
14×	`cbrt-prod` `associate-r`
9×	`add-cbrt-cube`
8×	`cube-prod`
6×	`associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
5×	`pow1`
4×	`cube-div` `distribute-lft-out` `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 → 102

Calls

4 calls:

16.0ms	(* 1/360 (pow x 6))
13.0ms	(* 1/12 (pow x 4))
46.0ms	(pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3)
80.0ms	(cbrt (pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3))

series357.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* 1/360 (pow x 6))
72.0ms	(* 1/12 (pow x 4))
118.0ms	(pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3)
101.0ms	(cbrt (pow (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) 3))

simplify1.0s

Counts

114 → 114

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	181	2128
1	424	1835
2	1216	1643
done	5001	1627

prune367.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 7/240 (pow x 10))
21.9b	(cbrt (+ (* 1/4 (pow x 8)) (+ (pow x 6) (* 7/240 (pow x 10)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`cbrt-prod` `associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `cbrt-div` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow1/3` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

21.0ms	(* 7/240 (pow x 10))
37.0ms	(cbrt (+ (* 1/4 (pow x 8)) (+ (pow x 6) (* 7/240 (pow x 10)))))

series331.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* 7/240 (pow x 10))
245.0ms	(cbrt (+ (* 1/4 (pow x 8)) (+ (pow x 6) (* 7/240 (pow x 10)))))

simplify2.2s

Counts

44 → 44

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	122	725
1	287	680
2	766	632
3	2806	596
done	5002	586

prune155.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	17	15
done	17	15

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.1s	5618×	body	1280	valid
847.0ms	7860×	body	80	valid
442.0ms	1281×	body	640	valid
99.0ms	604×	body	320	valid
34.0ms	319×	body	160	valid