Details

sample62.0ms

Algorithm

intervals

Results

38.0ms

424×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5013
4	3015
3	855
2	226
1	69
0	28

prune61.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize231.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

47.0ms	(* (* (fabs x) (fabs x)) (fabs x))
28.0ms	(* (* (fabs x) (fabs x)) (fabs x))
85.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series268.0ms

Counts

4 → 10

Calls

4 calls:

53.0ms	(* (* (fabs x) (fabs x)) (fabs x))
90.0ms	(* (* (fabs x) (fabs x)) (fabs x))
125.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify8.0s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
3	4406
2	1196
1	332
0	133

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize251.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) 0.6666666666666666) (* (fabs x) (fabs x)))
1.0b	(sqrt PI)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1`
26×	`add-cbrt-cube` `add-exp-log`
14×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`pow-plus` `pow-prod-up`
10×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow2` `pow-sqr` `insert-posit16` `add-log-exp`
3×	`associate-l` `*-commutative` `sqrt-prod`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 95

Calls

4 calls:

25.0ms	(* (* (fabs x) (fabs x)) (fabs x))
38.0ms	(* (* (fabs x) (fabs x)) (fabs x))
46.0ms	(* (* (fabs x) 0.6666666666666666) (* (fabs x) (fabs x)))
7.0ms	(sqrt PI)

series241.0ms

Counts

4 → 10

Calls

4 calls:

69.0ms	(* (* (fabs x) (fabs x)) (fabs x))
67.0ms	(* (* (fabs x) (fabs x)) (fabs x))
105.0ms	(* (* (fabs x) 0.6666666666666666) (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify7.0s

Counts

105 → 105

Iterations

Iter	Nodes
done	5007
3	3059
2	877
1	251
0	101

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize245.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

48.0ms	(* (* (fabs x) (fabs x)) (fabs x))
29.0ms	(* (* (fabs x) (fabs x)) (fabs x))
101.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series277.0ms

Counts

4 → 10

Calls

4 calls:

93.0ms	(* (* (fabs x) (fabs x)) (fabs x))
66.0ms	(* (* (fabs x) (fabs x)) (fabs x))
118.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify8.9s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
3	4680
2	1186
1	337
0	135

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize127.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 3.0 (* (fabs x) (fabs x)))
0.2b	(* (/ 1.0 21.0) (* (fabs x) (fabs x)))
0.3b	(/ 2.0 (/ 3.0 (* (fabs x) (fabs x))))
1.0b	(sqrt PI)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
34×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
13×	`associate-l`
10×	`pow1`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*` `prod-exp` `cbrt-unprod`
7×	`div-inv`
6×	`associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqrt-prod`
2×	`clear-num` `frac-2neg` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 121

Calls

4 calls:

17.0ms	(/ 3.0 (* (fabs x) (fabs x)))
39.0ms	(* (/ 1.0 21.0) (* (fabs x) (fabs x)))
31.0ms	(/ 2.0 (/ 3.0 (* (fabs x) (fabs x))))
4.0ms	(sqrt PI)

series264.0ms

Counts

4 → 10

Calls

4 calls:

86.0ms	(/ 3.0 (* (fabs x) (fabs x)))
97.0ms	(* (/ 1.0 21.0) (* (fabs x) (fabs x)))
81.0ms	(/ 2.0 (/ 3.0 (* (fabs x) (fabs x))))
0.0ms	(sqrt PI)

simplify3.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	1766
1	548
0	209

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes367.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify34.0ms

Iterations

Iter	Nodes
done	47
1	47
0	32

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.9s

14001×

body

valid