Details

sample44.0ms

Algorithm

intervals

Results

28.0ms

422×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (352.0ms)

Iter	Nodes	Cost
0	28	67
1	70	66
2	242	47
3	957	35
4	3314	34
done	5001	34

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (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)

rewrite5.3s

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l/` `sqrt-prod` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 165

Calls

4 calls:

4.9s	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
333.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
27.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series186.0ms

Counts

4 → 10

Calls

4 calls:

76.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
60.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify1.5s

Counts

175 → 175

Iterations

Useful iterations: 2 (326.0ms)

Iter	Nodes	Cost
0	305	4549
1	957	3089
2	3544	1822
done	5000	1822

prune564.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite374.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 135

Calls

4 calls:

8.0ms	(* (* (fabs x) (fabs x)) (fabs x))
330.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
30.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series138.0ms

Counts

4 → 10

Calls

4 calls:

29.0ms	(* (* (fabs x) (fabs x)) (fabs x))
60.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify963.0ms

Counts

145 → 145

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	225	2523
1	631	1777
2	2421	1222
done	5001	1222

prune506.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)))
0.4b	(* (/ 1.0 21.0) (fabs x))
1.0b	(sqrt PI)

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log` `add-cbrt-cube`
44×	`prod-exp` `cbrt-unprod`
39×	`associate-l`
36×	`pow1`
33×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow-prod-down`
9×	`cbrt-undiv` `div-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l/` `sqrt-prod` `-commutative` `div-inv`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 139

Calls

4 calls:

328.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
27.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
8.0ms	(* (/ 1.0 21.0) (fabs x))
1.0ms	(sqrt PI)

series133.0ms

Counts

4 → 10

Calls

4 calls:

64.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
50.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
19.0ms	(* (/ 1.0 21.0) (fabs x))
0.0ms	(sqrt PI)

simplify1.1s

Counts

149 → 149

Iterations

Useful iterations: 2 (225.0ms)

Iter	Nodes	Cost
0	264	2546
1	724	1906
2	2632	1352
done	5000	1352

prune618.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1.0 21.0) (fabs x))
0.4b	(* (/ 1.0 21.0) (fabs x))
0.5b	(* (sqrt (* (/ 1.0 21.0) (fabs x))) (sqrt (* (/ 1.0 21.0) (fabs x))))
1.0b	(sqrt PI)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1`
38×	`add-sqr-sqrt`
30×	`associate-l`
29×	`sqrt-pow1`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow-prod-down`
20×	`times-frac`
16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1/2`
10×	`associate-r` `pow-prod-up`
7×	`associate-*l/` `sqrt-prod`
6×	`pow-sqr`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `sqrt-div` `swap-sqr` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`pow2` `frac-times` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `associate-*r/` `rem-square-sqrt`

Counts

4 → 137

Calls

4 calls:

8.0ms	(* (/ 1.0 21.0) (fabs x))
8.0ms	(* (/ 1.0 21.0) (fabs x))
25.0ms	(* (sqrt (* (/ 1.0 21.0) (fabs x))) (sqrt (* (/ 1.0 21.0) (fabs x))))
1.0ms	(sqrt PI)

series96.0ms

Counts

4 → 10

Calls

4 calls:

18.0ms	(* (/ 1.0 21.0) (fabs x))
18.0ms	(* (/ 1.0 21.0) (fabs x))
59.0ms	(* (sqrt (* (/ 1.0 21.0) (fabs x))) (sqrt (* (/ 1.0 21.0) (fabs x))))
0.0ms	(sqrt PI)

simplify572.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	136	1465
1	261	1149
2	1155	1004
done	5000	1004

prune697.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	54
1	41	54
done	41	54

end0.0ms

sample1.1s

Algorithm

intervals

Results

939.0ms

13912×

body

valid