Details

sample105.0ms

Algorithm

intervals

Results

51.0ms	248×	body	80	nan
32.0ms	256×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2048
4	2048
3	827
2	162
1	46
0	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* v v))
0.3b	(* PI t)
0.4b	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.5b	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*r/`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`flip3--` `sqrt-div` `associate-r` `associate-/r/` `flip--`
7×	`associate-l` `pow-prod-down`
4×	`frac-times` `cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `sqrt-prod` `div-inv`

Counts

4 → 98

Calls

4 calls:

23.0ms	(* 3 (* v v))
6.0ms	(* PI t)
139.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
51.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 3 (* v v))
40.0ms	(* PI t)
914.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
234.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	2002
2	2002
1	722
0	233

prune686.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* v v) (* (sqrt 2) PI))
0.4b	(/ (/ 1 t) (* (sqrt 2) PI))
7.2b	(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))
7.2b	(/ (* v v) t)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log`
69×	`add-cbrt-cube`
36×	`times-frac`
27×	`div-exp` `prod-exp`
25×	`cbrt-unprod`
21×	`cbrt-undiv`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/l*`
6×	`associate-/r*` `div-inv`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`rec-exp` `1-exp`
1×	`associate-/l/`

Counts

4 → 127

Calls

4 calls:

24.0ms	(/ (* v v) (* (sqrt 2) PI))
27.0ms	(/ (/ 1 t) (* (sqrt 2) PI))
42.0ms	(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))
8.0ms	(/ (* v v) t)

series510.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ (* v v) (* (sqrt 2) PI))
141.0ms	(/ (/ 1 t) (* (sqrt 2) PI))
182.0ms	(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))
24.0ms	(/ (* v v) t)

simplify995.0ms

Counts

139 → 139

Iterations

Iter	Nodes
done	2026
2	2026
1	704
0	232

prune747.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* v v) (* (sqrt 2) PI))
0.3b	(* (/ 1 t) (/ 1 (* (sqrt 2) PI)))
7.2b	(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))
7.2b	(/ (* v v) t)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

140×	`add-exp-log`
78×	`add-cbrt-cube`
63×	`prod-exp`
45×	`div-exp`
31×	`cbrt-unprod`
22×	`add-sqr-sqrt` `cbrt-undiv`
19×	`times-frac`
16×	`*-un-lft-identity`
15×	`rec-exp` `1-exp` `add-cube-cbrt`
13×	`associate-l`
11×	`pow1`
7×	`associate-r`
5×	`associate-/r*` `pow-prod-down` `div-inv`
4×	`insert-posit16` `pow-flip` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l*` `unswap-sqr`
2×	`inv-pow`
1×	`frac-times` `associate-l/` `associate-r/` `un-div-inv` `*-commutative`

Counts

4 → 150

Calls

4 calls:

13.0ms	(/ (* v v) (* (sqrt 2) PI))
38.0ms	(* (/ 1 t) (/ 1 (* (sqrt 2) PI)))
30.0ms	(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))
15.0ms	(/ (* v v) t)

series494.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (* v v) (* (sqrt 2) PI))
134.0ms	(* (/ 1 t) (/ 1 (* (sqrt 2) PI)))
184.0ms	(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))
25.0ms	(/ (* v v) t)

simplify932.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	2034
2	2034
1	787
0	247

prune800.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt 2) PI) t)
0.2b	(/ (* v v) (* (sqrt 2) PI))
7.2b	(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))
7.2b	(/ (* v v) t)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-cbrt-cube` `add-exp-log`
26×	`prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-/r*` `times-frac`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down` `div-inv` `associate-/l*`
1×	`associate-l` `*-commutative`

Counts

4 → 95

Calls

4 calls:

25.0ms	(* (* (sqrt 2) PI) t)
22.0ms	(/ (* v v) (* (sqrt 2) PI))
64.0ms	(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))
13.0ms	(/ (* v v) t)

series436.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (* (sqrt 2) PI) t)
119.0ms	(/ (* v v) (* (sqrt 2) PI))
156.0ms	(/ (* 5/2 (* v v)) (* (* (sqrt 2) PI) t))
27.0ms	(/ (* v v) t)

simplify955.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	2027
2	2027
1	516
0	151

prune656.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.1s	7982×	body	80	nan
1.6s	8000×	body	80	valid