Details

sample108.0ms

Algorithm

intervals

Results

76.0ms

452×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	28	67
1	69	67
2	228	48
3	864	37
4	3087	37
done	5000	33

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite974.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log` `add-cbrt-cube`
53×	`pow1`
45×	`prod-exp` `cbrt-unprod`
27×	`associate-l`
24×	`pow-prod-down`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`cbrt-undiv` `div-exp`
6×	`pow-plus` `pow-prod-up`
5×	`associate-r`
4×	`add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`pow2` `associate-*l/` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

35.0ms	(* (* (fabs x) (fabs x)) (fabs x))
829.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
95.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series158.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
77.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
54.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify1.4s

Counts

137 → 137

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	216	2448
1	530	1707
2	1953	1163
done	5000	1113

prune583.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs x) 5) 5.0)
0.1b	(/ (pow (fabs x) 3) 3.0)
0.3b	(/ (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) (/ (sqrt PI) 1.0))
1.0b	(sqrt PI)

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

195×	`times-frac`
122×	`add-sqr-sqrt`
121×	`add-cube-cbrt` `*-un-lft-identity`
39×	`sqrt-prod`
28×	`associate-/r*`
24×	`unpow-prod-down`
22×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod` `associate-*r/`
9×	`div-exp`
8×	`frac-add` `associate-/l/` `sqr-pow`
7×	`div-inv`
6×	`flip3-+` `flip-+`
5×	`pow1` `cbrt-undiv`
4×	`cube-mult` `unpow3` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-to-exp` `pow-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/`

Counts

4 → 237

Calls

4 calls:

16.0ms	(/ (pow (fabs x) 5) 5.0)
11.0ms	(/ (pow (fabs x) 3) 3.0)
327.0ms	(/ (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) (/ (sqrt PI) 1.0))
1.0ms	(sqrt PI)

series538.0ms

Counts

4 → 10

Calls

4 calls:

67.0ms	(/ (pow (fabs x) 5) 5.0)
54.0ms	(/ (pow (fabs x) 3) 3.0)
417.0ms	(/ (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) (/ (sqrt PI) 1.0))
0.0ms	(sqrt PI)

simplify1.9s

Counts

247 → 247

Iterations

Useful iterations: 2 (731.0ms)

Iter	Nodes	Cost
0	430	8177
1	944	7779
2	3538	7520
done	5001	7520

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs x) 5) 5.0)
0.1b	(* (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) (/ 1 (/ (sqrt PI) 1.0)))
0.1b	(/ (pow (fabs x) 3) 3.0)
1.0b	(sqrt PI)

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

187×	`times-frac`
131×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
109×	`add-cube-cbrt`
71×	`associate-r`
33×	`add-exp-log`
32×	`sqrt-prod`
25×	`associate-*r/`
24×	`unpow-prod-down`
19×	`associate-/l*`
17×	`add-cbrt-cube`
16×	`frac-add`
13×	`div-exp`
12×	`flip3-+` `cube-prod` `flip-+`
8×	`frac-times` `associate-*l/` `sqr-pow`
7×	`pow1` `prod-exp` `unswap-sqr`
6×	`associate-/r*` `div-inv`
5×	`cbrt-undiv`
4×	`cube-mult` `unpow3` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `pow-exp` `clear-num`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-/r/` `un-div-inv` `*-commutative`

Counts

4 → 241

Calls

4 calls:

8.0ms	(/ (pow (fabs x) 5) 5.0)
426.0ms	(* (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) (/ 1 (/ (sqrt PI) 1.0)))
30.0ms	(/ (pow (fabs x) 3) 3.0)
3.0ms	(sqrt PI)

series634.0ms

Counts

4 → 10

Calls

4 calls:

76.0ms	(/ (pow (fabs x) 5) 5.0)
476.0ms	(* (+ (* 1.0 (+ (/ (pow (fabs x) 7) 21.0) (/ (pow (fabs x) 5) 5.0))) (* 2.0 (+ (/ (pow (fabs x) 3) 3.0) (fabs x)))) (/ 1 (/ (sqrt PI) 1.0)))
81.0ms	(/ (pow (fabs x) 3) 3.0)
0.0ms	(sqrt PI)

simplify2.9s

Counts

251 → 251

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	498	7464
1	1253	6705
2	4643	6306
done	5000	6306

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes228.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	35
1	36	35
done	36	35

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.2s

14083×

body

valid