Details

sample81.0ms

Algorithm

intervals

Results

55.0ms

411×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: done (3.2s)

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize54.0ms

Local error

Found 4 expressions with local error:

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)))
0.3b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite15.2s

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log` `add-cbrt-cube`
98×	`prod-exp` `cbrt-unprod`
69×	`pow1`
49×	`pow-prod-down`
39×	`associate-l`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`associate-r` `associate-l/` `sqrt-prod` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 157

Calls

4 calls:

970.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
105.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
14.1s	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series249.0ms

Counts

4 → 10

Calls

4 calls:

88.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
85.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
76.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.6s

Counts

167 → 167

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	297	4429
1	769	3002
2	2804	1751
done	5001	1644

prune828.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

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)))
0.2b	(/ 1.0 (/ 21.0 (pow (fabs x) 6)))
1.0b	(sqrt PI)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

177×	`times-frac`
102×	`add-sqr-sqrt`
101×	`add-cube-cbrt` `*-un-lft-identity`
80×	`add-exp-log`
75×	`add-cbrt-cube`
42×	`prod-exp` `cbrt-unprod`
36×	`unpow-prod-down`
34×	`pow1`
26×	`associate-l`
25×	`associate-/r*`
21×	`pow-prod-down`
15×	`div-exp`
12×	`sqr-pow`
11×	`cbrt-undiv`
7×	`div-inv`
4×	`add-log-exp`
3×	`sqrt-prod` `associate-/l*`
2×	`associate-r` `associate-l/` `-commutative`
1×	`pow-to-exp` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-exp` `clear-num` `associate-/r/`

Counts

4 → 219

Calls

4 calls:

1.0s	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
86.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
28.0ms	(/ 1.0 (/ 21.0 (pow (fabs x) 6)))
2.0ms	(sqrt PI)

series249.0ms

Counts

4 → 10

Calls

4 calls:

81.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
75.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
92.0ms	(/ 1.0 (/ 21.0 (pow (fabs x) 6)))
0.0ms	(sqrt PI)

simplify2.4s

Counts

229 → 229

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	442	4380
1	999	3416
2	3866	2923
done	5000	2792

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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)))
0.3b	(* (/ 1.0 21.0) (pow (fabs x) (+ 6 1)))
1.0b	(sqrt PI)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log`
75×	`add-cbrt-cube`
48×	`prod-exp`
44×	`cbrt-unprod`
42×	`add-sqr-sqrt`
39×	`associate-l`
34×	`pow1`
30×	`times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow-prod-down`
11×	`div-exp`
10×	`associate-r`
9×	`cbrt-undiv`
6×	`unswap-sqr`
5×	`unpow-prod-down`
4×	`add-log-exp`
3×	`associate-l/` `sqrt-prod` `-commutative` `div-inv` `sqr-pow`
2×	`pow-to-exp` `pow-exp`
1×	`unpow-prod-up` `rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 143

Calls

4 calls:

1.0s	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
73.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
47.0ms	(* (/ 1.0 21.0) (pow (fabs x) (+ 6 1)))
1.0ms	(sqrt PI)

series288.0ms

Counts

4 → 10

Calls

4 calls:

75.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
83.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
130.0ms	(* (/ 1.0 21.0) (pow (fabs x) (+ 6 1)))
0.0ms	(sqrt PI)

simplify1.9s

Counts

153 → 153

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	282	2826
1	708	1944
2	2473	1514
done	5001	1464

prune998.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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))
0.3b	(/ (pow (fabs x) 7) 21.0)
1.0b	(sqrt PI)

rewrite365.0ms

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:

14.0ms	(/ (pow (fabs x) 3) 3.0)
319.0ms	(/ (+ (* 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))
8.0ms	(/ (pow (fabs x) 7) 21.0)
1.0ms	(sqrt PI)

series627.0ms

Counts

4 → 10

Calls

4 calls:

57.0ms	(/ (pow (fabs x) 3) 3.0)
440.0ms	(/ (+ (* 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))
130.0ms	(/ (pow (fabs x) 7) 21.0)
0.0ms	(sqrt PI)

simplify2.1s

Counts

247 → 247

Iterations

Useful iterations: 2 (843.0ms)

Iter	Nodes	Cost
0	430	8177
1	945	7779
2	3532	7510
done	5000	7510

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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	29	54
1	40	54
done	40	54

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.1s

13943×

body

valid