Details

sample28.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	44	35
3	119	35
4	300	35
5	495	35
6	613	35
7	829	35
8	1175	35
9	4162	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))
4.0ms	(/ (* 2.0 t) (+ 1.0 t))

simplify1.9s

Counts

112 → 112

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	69	1252
1	185	1192
2	612	992
3	2750	992
done	5000	992

prune188.0ms

Filtered

80 candidates to 112 candidates (-40.0%)

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))

rewrite34.0ms

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))
7.0ms	(/ (* 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))))))
9.0ms	(- (+ t (pow t 3)) (* t t))

series26.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* 2.0 t) (+ 1.0 t))
6.0ms	(/ (* 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))

simplify928.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (420.0ms)

Iter	Nodes	Cost
0	187	2815
1	488	2745
2	1689	2455
done	5000	2455

prune262.0ms

Filtered

81 candidates to 110 candidates (-35.8%)

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	(/ 0.5 (pow t 4))
0.5b	(/ 1.25 (pow t 3))
6.8b	(+ (/ 0.5 (pow t 4)) (/ 1.25 (pow t 3)))
10.1b	(+ (+ (/ 0.5 (pow t 4)) (/ 1.25 (pow t 3))) (/ 0.25 (pow t 5)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity` `times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
19×	`associate-/r*`
14×	`add-exp-log`
12×	`cube-prod`
11×	`add-log-exp`
8×	`add-cbrt-cube` `sqr-pow`
7×	`distribute-lft-out`
6×	`div-exp` `associate-/l*`
5×	`frac-add`
4×	`pow1` `cube-mult` `unpow3` `sum-log`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv`
1×	`associate-+l+`

Counts

4 → 143

Calls

4 calls:

5.0ms	(/ 0.5 (pow t 4))
6.0ms	(/ 1.25 (pow t 3))
47.0ms	(+ (/ 0.5 (pow t 4)) (/ 1.25 (pow t 3)))
59.0ms	(+ (+ (/ 0.5 (pow t 4)) (/ 1.25 (pow t 3))) (/ 0.25 (pow t 5)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 0.5 (pow t 4))
4.0ms	(/ 1.25 (pow t 3))
9.0ms	(+ (/ 0.5 (pow t 4)) (/ 1.25 (pow t 3)))
5.0ms	(+ (+ (/ 0.5 (pow t 4)) (/ 1.25 (pow t 3))) (/ 0.25 (pow t 5)))

simplify703.0ms

Counts

155 → 155

Iterations

Useful iterations: 2 (291.0ms)

Iter	Nodes	Cost
0	238	2200
1	507	1941
2	1496	1820
done	5000	1820

prune266.0ms

Filtered

95 candidates to 155 candidates (-63.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	155	3	158

Merged error: 0.2b

Counts

158 → 3

regimes124.0ms

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

sample801.0ms

Algorithm

intervals

Results

655.0ms

8000×

body

valid

Details

sample28.0ms

simplify4.9s

prune3.0ms

localize10.0ms

rewrite31.0ms

series13.0ms

simplify1.9s

prune188.0ms

localize16.0ms

rewrite34.0ms

series26.0ms

simplify928.0ms

prune262.0ms

localize12.0ms

rewrite122.0ms

series23.0ms

simplify703.0ms

prune266.0ms

regimes124.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample801.0ms

Profiling