Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

338×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	10	5
done	10	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

18.0ms

(* (* x 3.0) x)

series374.0ms

Counts

1 → 3

Calls

1 calls:

374.0ms

(* (* x 3.0) x)

simplify694.0ms

Counts

23 → 23

Iterations

Useful iterations: done (693.0ms)

Iter	Nodes	Cost
0	39	169
1	101	164
2	670	138
done	5001	136

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 3.0 (pow x 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

12.0ms

(* 3.0 (pow x 2))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* 3.0 (pow x 2))

simplify3.2s

Counts

32 → 32

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	53	244
1	117	221
2	432	188
3	2931	188
done	5001	185

prune68.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
0.3b	(* (cbrt 3.0) (pow x 2))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`prod-exp`
18×	`add-sqr-sqrt`
9×	`associate-r` `add-cbrt-cube` `cbrt-unprod`
8×	`unswap-sqr`
7×	`pow1` `cbrt-prod` `associate-l`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`unpow-prod-down`
3×	`pow-to-exp` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 62

Calls

2 calls:

55.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
15.0ms	(* (cbrt 3.0) (pow x 2))

series217.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
86.0ms	(* (cbrt 3.0) (pow x 2))

simplify1.4s

Counts

68 → 68

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	88	801
1	225	736
2	1279	541
done	5000	457

prune170.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs x) (sqrt (cbrt 3.0)))
0.1b	(* (fabs x) (sqrt (cbrt 3.0)))
0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0)))))
0.4b	(* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0))))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
51×	`add-cbrt-cube`
41×	`prod-exp` `cbrt-unprod`
24×	`add-sqr-sqrt`
20×	`associate-r`
18×	`pow-prod-up`
16×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`cbrt-prod` `associate-l`
7×	`unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 152

Calls

4 calls:

25.0ms	(* (fabs x) (sqrt (cbrt 3.0)))
13.0ms	(* (fabs x) (sqrt (cbrt 3.0)))
212.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0)))))
45.0ms	(* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (fabs x) (sqrt (cbrt 3.0)))
100.0ms	(* (fabs x) (sqrt (cbrt 3.0)))
113.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0)))))
83.0ms	(* (* (fabs x) (sqrt (cbrt 3.0))) (* (fabs x) (sqrt (cbrt 3.0))))

simplify1.4s

Counts

164 → 164

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	118	2474
1	329	1913
2	1840	1300
done	5001	1164

prune333.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample601.0ms

Algorithm

intervals

Results

327.0ms

10725×

body

valid