Details

sample46.0ms

Algorithm

intervals

Results

17.0ms	223×	body	80	nan
12.0ms	256×	body	80	valid

simplify108.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	39	14
3	62	14
4	85	14
5	111	14
6	119	14
done	119	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/r*` `sum-log`
2×	`pow1` `cbrt-undiv` `flip3-+` `associate-*r/` `div-exp` `associate-/r/` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 38

Calls

2 calls:

43.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
72.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series162.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
111.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify851.0ms

Counts

44 → 44

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	103	771
1	318	749
2	1581	631
done	5001	625

prune141.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `sum-log`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

3 → 154

Calls

3 calls:

42.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
101.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
51.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
99.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
110.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.5s

Counts

163 → 163

Iterations

Useful iterations: 2 (505.0ms)

Iter	Nodes	Cost
0	264	3901
1	723	3771
2	3774	3563
done	5001	3563

prune594.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b	(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0))
0.0b	(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0)

rewrite433.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
440×	`add-sqr-sqrt` `*-un-lft-identity`
336×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
32×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
9×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+l+` `pow-flip` `inv-pow`

Counts

4 → 450

Calls

4 calls:

43.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
121.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
85.0ms	(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0))
129.0ms	(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0)

series354.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
98.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
108.0ms	(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0))
100.0ms	(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0)

simplify1.5s

Counts

462 → 462

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	629	13642
1	1819	12530
done	5001	12058

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1.0))
0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b	(/ (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1 (- x 1.0)))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

777×	`times-frac`
424×	`add-sqr-sqrt` `*-un-lft-identity`
320×	`add-cube-cbrt`
81×	`associate-/r/`
52×	`distribute-lft-out--` `difference-of-squares`
41×	`div-inv`
32×	`add-exp-log`
29×	`associate-/r*`
24×	`flip3-+` `flip-+`
21×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
9×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log`
1×	`+-commutative` `associate-+l+` `pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 458

Calls

4 calls:

26.0ms	(/ 1 (- x 1.0))
38.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
51.0ms	(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
116.0ms	(/ (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1 (- x 1.0)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (- x 1.0))
50.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
64.0ms	(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
127.0ms	(/ (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1 (- x 1.0)))

simplify1.1s

Counts

470 → 470

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	700	15138
1	2366	13659
done	5001	12461

prune829.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	18	16
done	18	16

end0.0ms

sample1.5s

Algorithm

intervals

Results

560.0ms	7921×	body	80	nan
523.0ms	8000×	body	80	valid