Details

sample171.0ms

Algorithm

intervals

Results

143.0ms

421×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1089
2	240
1	74
0	28

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize110.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
0.1b	(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

360×	`pow1`
216×	`pow-plus` `pow-prod-up`
59×	`add-cbrt-cube` `add-exp-log`
37×	`prod-exp` `cbrt-unprod`
31×	`pow-prod-down`
24×	`pow2` `pow-sqr`
15×	`add-sqr-sqrt` `associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow3`
9×	`times-frac`
7×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 214

Calls

4 calls:

183.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
1.1s	(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
47.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series161.0ms

Counts

4 → 10

Calls

4 calls:

56.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
44.0ms	(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
61.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.2s

Counts

224 → 224

Iterations

Iter	Nodes
done	5000
2	1941
1	508
0	182

prune745.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite854.0ms

Algorithm

rewrite-expression-head

Rules

140×	`pow1`
124×	`add-exp-log`
84×	`add-cbrt-cube`
82×	`prod-exp`
60×	`pow-plus` `pow-prod-up`
52×	`cbrt-unprod`
31×	`pow-prod-down`
27×	`associate-l`
21×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`div-exp`
8×	`pow2` `cbrt-undiv` `pow-sqr`
5×	`rec-exp` `1-exp` `associate-r`
4×	`pow3` `insert-posit16` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`associate-*l/` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 173

Calls

4 calls:

567.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
232.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
50.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series179.0ms

Counts

4 → 10

Calls

4 calls:

64.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
55.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))
61.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.0s

Counts

183 → 183

Iterations

Iter	Nodes
done	5001
2	1799
1	640
0	234

prune791.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
0.2b	(* (* (fabs x) 2/3) (* (fabs x) (fabs x)))
0.3b	(* (fabs x) 2/3)
1.0b	(sqrt PI)

rewrite845.0ms

Algorithm

rewrite-expression-head

Rules

259×	`pow1`
156×	`pow-plus` `pow-prod-up`
38×	`add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`pow2` `pow-sqr`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `pow3` `add-cube-cbrt`
7×	`associate-r`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

793.0ms	(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
22.0ms	(* (* (fabs x) 2/3) (* (fabs x) (fabs x)))
21.0ms	(* (fabs x) 2/3)
2.0ms	(sqrt PI)

series156.0ms

Counts

4 → 10

Calls

4 calls:

52.0ms	(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))
71.0ms	(* (* (fabs x) 2/3) (* (fabs x) (fabs x)))
32.0ms	(* (fabs x) 2/3)
0.0ms	(sqrt PI)

simplify3.3s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
3	3780
2	1252
1	460
0	157

prune672.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize140.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (sqrt (fabs x)))
0.1b	(* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x))) (fabs x))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite3.2s

Algorithm

rewrite-expression-head

Rules

659×	`pow1`
606×	`pow-prod-up`
282×	`pow-plus`
163×	`sqrt-pow1` `pow1/2`
66×	`add-cbrt-cube` `add-exp-log`
43×	`prod-exp` `cbrt-unprod`
40×	`pow2` `pow-sqr`
37×	`pow-prod-down`
20×	`pow3`
16×	`add-sqr-sqrt`
15×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
10×	`associate-r`
9×	`times-frac`
6×	`sqrt-prod`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
1×	`rem-sqrt-square` `associate-*l/` `div-inv`

Counts

4 → 292

Calls

4 calls:

179.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (sqrt (fabs x)))
2.9s	(* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x))) (fabs x))
73.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series233.0ms

Counts

4 → 10

Calls

4 calls:

105.0ms	(* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (sqrt (fabs x)))
76.0ms	(* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x))) (fabs x))
52.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify2.4s

Counts

302 → 302

Iterations

Iter	Nodes
done	5004
2	1968
1	674
0	229

prune784.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes187.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	46
1	46
0	29

end0.0ms

sample5.5s

Algorithm

intervals

Results

5.2s

13934×

body

valid