Details

sample219.0ms

Algorithm

intervals

Results

130.0ms

558×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3439
3	656
2	152
1	51
0	22

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize31.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.7b	(* (* (* w w) r) r)
7.1b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.0b	(* (* w w) r)

rewrite646.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-cbrt-cube` `add-exp-log`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`associate-/r*` `times-frac`
4×	`associate-l/` `associate-r/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

272.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
62.0ms	(* (* (* w w) r) r)
270.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
29.0ms	(* (* w w) r)

series337.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
47.0ms	(* (* (* w w) r) r)
117.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
42.0ms	(* (* w w) r)

simplify2.6s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	4962
1	671
0	201

prune683.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
1.6b	(/ (- 1.0 v) (* w (* w r)))
3.6b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (* w (* w r))) r))
5.6b	(/ (/ (- 1.0 v) (* w (* w r))) r)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

170×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
77×	`add-cbrt-cube` `add-exp-log`
58×	`add-cube-cbrt`
36×	`cbrt-undiv` `associate-/r*` `div-exp`
18×	`prod-exp` `cbrt-unprod` `associate-/l*`
16×	`div-inv`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l/`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
3×	`div-sub`
2×	`flip3--` `associate-*r/` `flip--`
1×	`associate-/r/`

Counts

4 → 206

Calls

4 calls:

12.0ms	(/ 2.0 (* r r))
38.0ms	(/ (- 1.0 v) (* w (* w r)))
48.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (* w (* w r))) r))
44.0ms	(/ (/ (- 1.0 v) (* w (* w r))) r)

series342.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 2.0 (* r r))
89.0ms	(/ (- 1.0 v) (* w (* w r)))
122.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (* w (* w r))) r))
79.0ms	(/ (/ (- 1.0 v) (* w (* w r))) r)

simplify637.0ms

Counts

218 → 218

Iterations

Iter	Nodes
done	5000
1	1195
0	364

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
0.3b	(/ 1 (* w (* w r)))
0.7b	(/ (/ 0.125 (/ (- 1.0 v) (- 3.0 (* v 2.0)))) (/ (/ 1 (* w (* w r))) r))
5.2b	(/ (/ 1 (* w (* w r))) r)

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

6617×	`times-frac`
2732×	`add-sqr-sqrt` `*-un-lft-identity`
2264×	`add-cube-cbrt`
388×	`div-inv`
234×	`distribute-lft-out--` `difference-of-squares`
227×	`add-exp-log`
183×	`associate-/r/`
138×	`div-exp`
107×	`add-cbrt-cube`
81×	`associate-/l*`
78×	`flip3--` `flip--`
63×	`cbrt-undiv`
46×	`prod-exp`
30×	`associate-/r*`
16×	`cbrt-unprod`
15×	`rec-exp` `1-exp`
10×	`pow1`
4×	`clear-num` `frac-2neg` `add-log-exp`
3×	`pow-prod-down` `pow-flip`
2×	`associate-/l/`
1×	`inv-pow`

Counts

4 → 1963

Calls

4 calls:

12.0ms	(/ 2.0 (* r r))
27.0ms	(/ 1 (* w (* w r)))
97.0ms	(/ (/ 0.125 (/ (- 1.0 v) (- 3.0 (* v 2.0)))) (/ (/ 1 (* w (* w r))) r))
34.0ms	(/ (/ 1 (* w (* w r))) r)

series246.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 2.0 (* r r))
24.0ms	(/ 1 (* w (* w r)))
131.0ms	(/ (/ 0.125 (/ (- 1.0 v) (- 3.0 (* v 2.0)))) (/ (/ 1 (* w (* w r))) r))
53.0ms	(/ (/ 1 (* w (* w r))) r)

simplify1.3s

Counts

1975 → 1975

Iterations

Iter	Nodes
done	5000
0	2959

prune15.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt r) (cbrt r))
0.6b	(cbrt r)
0.6b	(cbrt r)
0.6b	(cbrt r)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

17.0ms	(* (cbrt r) (cbrt r))
1.0ms	(cbrt r)
1.0ms	(cbrt r)
1.0ms	(cbrt r)

series1.1s

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt r) (cbrt r))
286.0ms	(cbrt r)
310.0ms	(cbrt r)
275.0ms	(cbrt r)

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune705.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes531.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	38
1	38
0	31

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.0s

17419×

body

valid