Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

362×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	16	3
2	20	3
3	21	3
4	21	3
done	21	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

19.0ms

(/ (- (* x x) 3.0) 6.0)

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(/ (- (* x x) 3.0) 6.0)

simplify64.0ms

Counts

37 → 37

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	175	222
1	562	208
2	2219	208
3	5001	208
done	5001	208

prune65.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.16666666666666666 (pow x 2)) 0.5)
0.4b	(* 0.16666666666666666 (pow x 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 39

Calls

2 calls:

10.0ms	(- (* 0.16666666666666666 (pow x 2)) 0.5)
14.0ms	(* 0.16666666666666666 (pow x 2))

series86.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- (* 0.16666666666666666 (pow x 2)) 0.5)
26.0ms	(* 0.16666666666666666 (pow x 2))

simplify91.0ms

Counts

45 → 45

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	155	177
1	527	158
2	2579	157
3	5002	156
done	5002	156

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 0.16666666666666666 (fabs x)) (sqrt (pow x 2))) 0.5)
0.1b	(* (* 0.16666666666666666 (fabs x)) (sqrt (pow x 2)))
21.3b	(sqrt (pow x 2))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-prod`
11×	`associate-r`
10×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`unpow-prod-down`
5×	`add-log-exp`
4×	`rem-sqrt-square`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

3 → 59

Calls

3 calls:

21.0ms	(- (* (* 0.16666666666666666 (fabs x)) (sqrt (pow x 2))) 0.5)
25.0ms	(* (* 0.16666666666666666 (fabs x)) (sqrt (pow x 2)))
3.0ms	(sqrt (pow x 2))

series110.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* (* 0.16666666666666666 (fabs x)) (sqrt (pow x 2))) 0.5)
43.0ms	(* (* 0.16666666666666666 (fabs x)) (sqrt (pow x 2)))
9.0ms	(sqrt (pow x 2))

simplify137.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	236	364
1	932	309
2	4175	281
3	5001	281
done	5001	281

prune135.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 0.16666666666666666) (sqrt (pow x 2)))
0.3b	(* (* (sqrt 0.16666666666666666) (sqrt (pow x 2))) (* (sqrt 0.16666666666666666) (sqrt (pow x 2))))
21.3b	(sqrt (pow x 2))
21.3b	(sqrt (pow x 2))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
40×	`sqrt-prod`
33×	`add-sqr-sqrt`
26×	`pow-prod-down`
18×	`add-exp-log` `add-cbrt-cube`
16×	`pow1/2`
13×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
12×	`associate-r`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`rem-sqrt-square`
7×	`associate-l` `unpow2` `sqr-pow`
6×	`sqrt-unprod`
5×	`pow-sqr` `pow-prod-up`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow-plus` `*-commutative`
1×	`pow2` `swap-sqr` `rem-square-sqrt`

Counts

4 → 121

Calls

4 calls:

17.0ms	(* (sqrt 0.16666666666666666) (sqrt (pow x 2)))
57.0ms	(* (* (sqrt 0.16666666666666666) (sqrt (pow x 2))) (* (sqrt 0.16666666666666666) (sqrt (pow x 2))))
6.0ms	(sqrt (pow x 2))
3.0ms	(sqrt (pow x 2))

series128.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (sqrt 0.16666666666666666) (sqrt (pow x 2)))
75.0ms	(* (* (sqrt 0.16666666666666666) (sqrt (pow x 2))) (* (sqrt 0.16666666666666666) (sqrt (pow x 2))))
8.0ms	(sqrt (pow x 2))
9.0ms	(sqrt (pow x 2))

simplify39.0ms

Counts

133 → 133

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	215	571
1	948	435
2	5002	429
done	5002	429

prune252.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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	6	3
1	6	3
done	6	3

end0.0ms

sample313.0ms

Algorithm

intervals

Results

170.0ms

10717×

body

valid