Details

sample29.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify715.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	44	35
3	121	35
4	306	35
5	511	35
6	638	35
7	858	35
8	1419	35
done	5001	35

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* 2.0 t) (+ 1.0 t))
0.3b	(/ (* 2.0 t) (+ 1.0 t))
0.3b	(/ (* 2.0 t) (+ 1.0 t))
0.3b	(/ (* 2.0 t) (+ 1.0 t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`add-exp-log` `add-cbrt-cube`
16×	`times-frac` `associate-/r*`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
4×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 100

Calls

4 calls:

7.0ms	(/ (* 2.0 t) (+ 1.0 t))
7.0ms	(/ (* 2.0 t) (+ 1.0 t))
7.0ms	(/ (* 2.0 t) (+ 1.0 t))
7.0ms	(/ (* 2.0 t) (+ 1.0 t))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* 2.0 t) (+ 1.0 t))
3.0ms	(/ (* 2.0 t) (+ 1.0 t))
3.0ms	(/ (* 2.0 t) (+ 1.0 t))
3.0ms	(/ (* 2.0 t) (+ 1.0 t))

simplify747.0ms

Counts

112 → 112

Iterations

Useful iterations: 3 (262.0ms)

Iter	Nodes	Cost
0	69	1252
1	191	1204
2	695	1020
3	2897	1000
done	5001	1000

prune201.0ms

Filtered

84 candidates to 112 candidates (-33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	2	113

Merged error: 0.3b

Counts

113 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* 2.0 t) (+ 1.0 t))
0.3b	(/ (* 2.0 t) (+ 1.0 t))
0.5b	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (* 2.0 (- (+ t (pow t 3)) (* t t))))))
6.8b	(- (+ t (pow t 3)) (* t t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `times-frac`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/r/`
5×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`pow1` `flip3-+` `flip-+` `distribute-lft-out`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`diff-log` `unpow3` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `distribute-rgt-out` `flip3--` `distribute-rgt-out--` `distribute-rgt1-in` `associate--l+` `sum-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 98

Calls

4 calls:

7.0ms	(/ (* 2.0 t) (+ 1.0 t))
10.0ms	(/ (* 2.0 t) (+ 1.0 t))
8.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (* 2.0 (- (+ t (pow t 3)) (* t t))))))
10.0ms	(- (+ t (pow t 3)) (* t t))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* 2.0 t) (+ 1.0 t))
3.0ms	(/ (* 2.0 t) (+ 1.0 t))
13.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (* 2.0 (- (+ t (pow t 3)) (* t t))))))
4.0ms	(- (+ t (pow t 3)) (* t t))

simplify513.0ms

Counts

110 → 110

Iterations

Useful iterations: done (509.0ms)

Iter	Nodes	Cost
0	187	2815
1	497	2758
2	1824	2461
done	5001	2459

prune269.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0.2b

Counts

112 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 0.25 (pow t 5))
0.1b	(/ 0.5 (pow t 4))
0.5b	(/ 1.25 (pow t 3))
10.1b	(+ (+ (/ 1.25 (pow t 3)) (/ 0.25 (pow t 5))) (/ 0.5 (pow t 4)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
72×	`*-un-lft-identity`
61×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
26×	`associate-/r*`
19×	`add-exp-log`
12×	`cube-prod` `sqr-pow`
10×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*` `add-log-exp`
5×	`distribute-lft-out`
4×	`pow1` `cube-mult` `unpow3` `frac-add`
3×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log` `div-inv`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+l+`

Counts

4 → 174

Calls

4 calls:

5.0ms	(/ 0.25 (pow t 5))
5.0ms	(/ 0.5 (pow t 4))
6.0ms	(/ 1.25 (pow t 3))
59.0ms	(+ (+ (/ 1.25 (pow t 3)) (/ 0.25 (pow t 5))) (/ 0.5 (pow t 4)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 0.25 (pow t 5))
4.0ms	(/ 0.5 (pow t 4))
4.0ms	(/ 1.25 (pow t 3))
5.0ms	(+ (+ (/ 1.25 (pow t 3)) (/ 0.25 (pow t 5))) (/ 0.5 (pow t 4)))

simplify513.0ms

Counts

186 → 186

Iterations

Useful iterations: done (503.0ms)

Iter	Nodes	Cost
0	302	2404
1	628	2153
2	1983	2049
done	5000	2023

prune355.0ms

Filtered

123 candidates to 186 candidates (-51.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	186	3	189

Merged error: 0.2b

Counts

189 → 3

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	14	35
done	14	35

end0.0ms

sample837.0ms

Algorithm

intervals

Results

685.0ms

8000×

body

valid

Details

sample29.0ms

simplify715.0ms

prune3.0ms

localize10.0ms

rewrite31.0ms

series13.0ms

simplify747.0ms

prune201.0ms

localize16.0ms

rewrite39.0ms

series23.0ms

simplify513.0ms

prune269.0ms

localize12.0ms

rewrite82.0ms

series18.0ms

simplify513.0ms

prune355.0ms

regimes123.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample837.0ms

Profiling