Details

sample729.0ms

Algorithm

intervals

Results

557.0ms

555×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
4	2296
3	526
2	144
1	53
0	22

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* w r))
0.3b	(/ (/ (- 1 v) (* w r)) (* w r))
0.3b	(/ 2 (* r r))
5.2b	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-cbrt-cube` `add-exp-log`
77×	`times-frac`
48×	`cbrt-undiv` `div-exp`
36×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`prod-exp` `cbrt-unprod`
20×	`associate-/l*`
18×	`add-cube-cbrt`
17×	`associate-/r*`
12×	`difference-of-squares`
10×	`div-inv`
6×	`distribute-lft-out--`
5×	`associate-/l/`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`div-sub`
2×	`flip3--` `associate-*l/` `flip--`
1×	`associate-/r/`

Counts

4 → 170

Calls

4 calls:

14.0ms	(/ (- 1 v) (* w r))
27.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
12.0ms	(/ 2 (* r r))
61.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (- 1 v) (* w r))
65.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
32.0ms	(/ 2 (* r r))
103.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify2.5s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	4136
1	883
0	292

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (/ 1 w) (/ (- 1 v) r)) (* w r))
0.3b	(/ 2 (* r r))
1.5b	(* (/ 1 w) (/ (- 1 v) r))
5.2b	(/ (* (- 3 (* v 2)) 0.125) (/ (* (/ 1 w) (/ (- 1 v) r)) (* w r)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

309×	`add-exp-log`
179×	`add-cbrt-cube`
150×	`div-exp`
103×	`prod-exp`
82×	`cbrt-undiv`
55×	`cbrt-unprod`
51×	`add-sqr-sqrt`
45×	`times-frac`
36×	`*-un-lft-identity`
25×	`add-cube-cbrt`
22×	`associate-r`
14×	`rec-exp` `1-exp`
13×	`associate-l`
7×	`associate-/r*` `div-inv`
6×	`pow1` `difference-of-squares` `unswap-sqr`
5×	`associate-/l*` `associate-/l/`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `distribute-lft-out--`
2×	`frac-times` `associate-*r/`
1×	`flip3--` `pow-prod-down` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 218

Calls

4 calls:

18.0ms	(/ (* (/ 1 w) (/ (- 1 v) r)) (* w r))
6.0ms	(/ 2 (* r r))
33.0ms	(* (/ 1 w) (/ (- 1 v) r))
30.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (* (/ 1 w) (/ (- 1 v) r)) (* w r)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (* (/ 1 w) (/ (- 1 v) r)) (* w r))
37.0ms	(/ 2 (* r r))
47.0ms	(* (/ 1 w) (/ (- 1 v) r))
118.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (* (/ 1 w) (/ (- 1 v) r)) (* w r)))

simplify1.6s

Counts

230 → 230

Iterations

Iter	Nodes
done	5002
1	1081
0	363

prune996.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2 r) r)
0.3b	(/ (* (/ 1 w) (/ (- 1 v) r)) (* w r))
1.5b	(* (/ 1 w) (/ (- 1 v) r))
5.2b	(/ (* (- 3 (* v 2)) 0.125) (/ (* (/ 1 w) (/ (- 1 v) r)) (* w r)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

309×	`add-exp-log`
179×	`add-cbrt-cube`
151×	`div-exp`
117×	`times-frac`
102×	`prod-exp`
91×	`add-sqr-sqrt`
83×	`cbrt-undiv`
76×	`*-un-lft-identity`
65×	`add-cube-cbrt`
54×	`cbrt-unprod`
22×	`associate-r`
15×	`associate-/l*`
14×	`rec-exp` `1-exp`
13×	`associate-l`
11×	`div-inv`
9×	`associate-/r*`
6×	`pow1` `difference-of-squares` `unswap-sqr` `associate-/l/`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `distribute-lft-out--`
2×	`frac-times` `associate-*r/`
1×	`flip3--` `pow-prod-down` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 267

Calls

4 calls:

14.0ms	(/ (/ 2 r) r)
32.0ms	(/ (* (/ 1 w) (/ (- 1 v) r)) (* w r))
21.0ms	(* (/ 1 w) (/ (- 1 v) r))
41.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (* (/ 1 w) (/ (- 1 v) r)) (* w r)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (/ 2 r) r)
95.0ms	(/ (* (/ 1 w) (/ (- 1 v) r)) (* w r))
45.0ms	(* (/ 1 w) (/ (- 1 v) r))
107.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (* (/ 1 w) (/ (- 1 v) r)) (* w r)))

simplify1.6s

Counts

279 → 279

Iterations

Iter	Nodes
done	5000
1	1303
0	454

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2 (* r r))
0.5b	(/ 1 (/ (/ (/ (/ (- 1 v) r) w) (* (+ 3 (* -2 v)) 0.125)) (* w r)))
1.4b	(/ (/ (- 1 v) r) w)
7.3b	(/ (/ (/ (- 1 v) r) w) (* (+ 3 (* -2 v)) 0.125))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

1755×	`times-frac`
674×	`add-sqr-sqrt` `*-un-lft-identity`
476×	`add-cube-cbrt`
248×	`add-exp-log`
161×	`div-exp`
132×	`difference-of-squares`
116×	`add-cbrt-cube`
98×	`associate-/l*`
85×	`associate-/r*`
70×	`cbrt-undiv`
66×	`distribute-lft-out--`
43×	`prod-exp`
40×	`div-inv`
17×	`cbrt-unprod`
15×	`rec-exp` `1-exp`
11×	`associate-/r/`
10×	`associate-*l/`
5×	`pow1` `flip3-+` `div-sub` `flip-+`
4×	`clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 695

Calls

4 calls:

12.0ms	(/ 2 (* r r))
73.0ms	(/ 1 (/ (/ (/ (/ (- 1 v) r) w) (* (+ 3 (* -2 v)) 0.125)) (* w r)))
27.0ms	(/ (/ (- 1 v) r) w)
34.0ms	(/ (/ (/ (- 1 v) r) w) (* (+ 3 (* -2 v)) 0.125))

series293.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 2 (* r r))
95.0ms	(/ 1 (/ (/ (/ (/ (- 1 v) r) w) (* (+ 3 (* -2 v)) 0.125)) (* w r)))
45.0ms	(/ (/ (- 1 v) r) w)
114.0ms	(/ (/ (/ (- 1 v) r) w) (* (+ 3 (* -2 v)) 0.125))

simplify3.5s

Counts

707 → 707

Iterations

Iter	Nodes
done	5002
1	3241
0	1192

prune4.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes480.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample3.9s

Algorithm

intervals

Results

3.4s

17223×

body

valid