Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	272×	body	80	valid
6.0ms	286×	body	80	nan

simplify123.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	38	8
4	55	8
5	70	8
6	79	8
7	96	8
8	115	8
9	122	8
10	126	8
11	130	8
done	130	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.3b	(* y (sqrt x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

14.0ms	(+ (- 1.0 x) (* y (sqrt x)))
5.0ms	(* y (sqrt x))

series81.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (- 1.0 x) (* y (sqrt x)))
44.0ms	(* y (sqrt x))

simplify1.1s

Counts

43 → 43

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	96	442
1	241	398
2	640	366
3	2088	353
done	5001	350

prune85.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.4b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

1.0ms	(sqrt (sqrt x))
1.0ms	(sqrt (sqrt x))
6.0ms	(* y (sqrt (sqrt x)))
20.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(sqrt (sqrt x))
141.0ms	(sqrt (sqrt x))
80.0ms	(* y (sqrt (sqrt x)))
40.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.9s

Counts

100 → 100

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	132	915
1	340	716
2	1028	650
3	3316	634
done	5000	631

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 x) -1/4)
0.1b	(sqrt (sqrt x))
0.2b	(* y (pow (/ 1 x) -1/4))
0.4b	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`add-cube-cbrt` `associate-r`
20×	`times-frac`
19×	`prod-exp` `sqrt-prod`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 119

Calls

4 calls:

4.0ms	(pow (/ 1 x) -1/4)
1.0ms	(sqrt (sqrt x))
14.0ms	(* y (pow (/ 1 x) -1/4))
21.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(pow (/ 1 x) -1/4)
137.0ms	(sqrt (sqrt x))
64.0ms	(* y (pow (/ 1 x) -1/4))
83.0ms	(* (* y (pow (/ 1 x) -1/4)) (sqrt (sqrt x)))

simplify625.0ms

Counts

131 → 131

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	234	1478
1	579	1254
2	1581	1175
done	5000	1173

prune281.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
0.4b	(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
28×	`add-sqr-sqrt`
20×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`cbrt-prod` `pow-prod-down`
9×	`prod-exp` `cbrt-unprod`
8×	`unswap-sqr`
7×	`associate-l`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3` `*-commutative`
1×	`sqrt-unprod`

Counts

4 → 84

Calls

4 calls:

14.0ms	(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
28.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
172.0ms	(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
371.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify506.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	160	1349
1	371	1180
2	1247	1070
done	5000	1070

prune292.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample612.0ms

Algorithm

intervals

Results

186.0ms	8534×	body	80	valid
171.0ms	8496×	body	80	nan
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid