Details

sample238.0ms

Algorithm

intervals

Results

133.0ms

558×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* w r))
0.3b	(/ (/ (- 1 v) (* w r)) (* w r))
0.4b	(/ 2 (* r r))
6.0b	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

rewrite164.0ms

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:

23.0ms	(/ (- 1 v) (* w r))
32.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
15.0ms	(/ 2 (* r r))
83.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- 1 v) (* w r))
85.0ms	(/ (/ (- 1 v) (* w r)) (* w r))
53.0ms	(/ 2 (* r r))
117.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (/ (- 1 v) (* w r)) (* w r)))

simplify3.1s

Counts

182 → 182

Iterations

Iter	Nodes
done	5000
2	4136
1	883
0	292

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* (* w r) (* w r)))
0.4b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
6.0b	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
39×	`prod-exp` `cbrt-unprod`
31×	`times-frac`
29×	`cbrt-undiv` `div-exp`
24×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`pow-prod-down`
12×	`associate-/r*` `add-cube-cbrt`
10×	`associate-/l*`
8×	`difference-of-squares`
5×	`div-inv`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `distribute-lft-out--` `add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `flip3--` `associate-*l/` `flip--`
1×	`pow2` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 153

Calls

4 calls:

64.0ms	(/ (- 1 v) (* (* w r) (* w r)))
8.0ms	(/ 2 (* r r))
29.0ms	(* (* w r) (* w r))
78.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (- 1 v) (* (* w r) (* w r)))
55.0ms	(/ 2 (* r r))
55.0ms	(* (* w r) (* w r))
92.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))

simplify2.3s

Counts

165 → 165

Iterations

Iter	Nodes
done	5432
2	3456
1	754
0	245

prune849.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1 v) (* (* w r) (* w r)))
0.2b	(/ (/ 2 r) r)
0.4b	(* (* w r) (* w r))
6.0b	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

103×	`times-frac`
95×	`add-cbrt-cube` `add-exp-log`
64×	`add-sqr-sqrt` `*-un-lft-identity`
52×	`add-cube-cbrt`
43×	`pow1`
38×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
20×	`associate-/l*`
17×	`pow-prod-down`
14×	`associate-/r*`
9×	`div-inv`
8×	`difference-of-squares`
5×	`associate-/l/`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `flip3--` `associate-*l/` `flip--`
1×	`pow2` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 202

Calls

4 calls:

55.0ms	(/ (- 1 v) (* (* w r) (* w r)))
10.0ms	(/ (/ 2 r) r)
45.0ms	(* (* w r) (* w r))
101.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- 1 v) (* (* w r) (* w r)))
41.0ms	(/ (/ 2 r) r)
55.0ms	(* (* w r) (* w r))
112.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))

simplify2.4s

Counts

214 → 214

Iterations

Iter	Nodes
done	5013
2	3752
1	976
0	342

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
6.0b	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
12.2b	(sqrt (/ 2 (* r r)))
12.2b	(sqrt (/ 2 (* r r)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-cbrt-cube` `add-exp-log`
45×	`pow1`
30×	`times-frac` `prod-exp` `cbrt-unprod`
22×	`add-sqr-sqrt` `cbrt-undiv` `div-exp`
18×	`*-un-lft-identity`
17×	`pow-prod-down`
14×	`sqrt-prod`
12×	`add-cube-cbrt`
10×	`associate-/r*`
5×	`div-inv`
4×	`rem-sqrt-square` `pow-sqr` `pow-prod-up` `insert-posit16` `add-log-exp` `difference-of-squares`
2×	`sqrt-pow1` `pow-plus` `pow1/2` `sqrt-div` `associate-*l/` `distribute-lft-out--` `associate-/l/`
1×	`pow2` `clear-num` `frac-2neg` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `-commutative` `flip--` `associate-/l`

Counts

4 → 134

Calls

4 calls:

36.0ms	(* (* w r) (* w r))
79.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
12.0ms	(sqrt (/ 2 (* r r)))
13.0ms	(sqrt (/ 2 (* r r)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* w r) (* w r))
96.0ms	(/ (* (- 3 (* v 2)) 0.125) (/ (- 1 v) (* (* w r) (* w r))))
48.0ms	(sqrt (/ 2 (* r r)))
52.0ms	(sqrt (/ 2 (* r r)))

simplify2.0s

Counts

146 → 146

Iterations

Iter	Nodes
done	5117
2	2858
1	650
0	221

prune911.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes350.0ms

Accuracy

0% (0.2b 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

sample3.4s

Algorithm

intervals

Results

3.0s

17015×

body

valid