Details

sample227.0ms

Algorithm

intervals

Results

77.0ms

547×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
4	2349
3	533
2	141
1	51
0	22

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 (* r r)) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
0.2b	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
0.3b	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))
0.4b	(/ 2.0 (* r r))

rewrite631.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
95×	`add-cbrt-cube` `add-exp-log`
75×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
63×	`associate-l`
53×	`add-cube-cbrt`
49×	`prod-exp` `cbrt-unprod`
30×	`pow1`
20×	`cbrt-undiv` `div-exp`
18×	`pow-prod-down`
13×	`add-log-exp`
11×	`difference-of-squares`
10×	`distribute-lft-out--`
6×	`diff-log` `frac-sub`
5×	`div-inv`
4×	`associate-*l/`
3×	`flip3--` `associate-r/` `flip--` `associate-/l` `associate--r+`
2×	`sub-neg` `associate-r` `*-commutative` `associate--r-`
1×	`clear-num` `associate-/r*` `frac-2neg` `associate-/r/`

Counts

4 → 177

Calls

4 calls:

381.0ms	(- (/ 2.0 (* r r)) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
104.0ms	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
122.0ms	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))
8.0ms	(/ 2.0 (* r r))

series555.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(- (/ 2.0 (* r r)) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
79.0ms	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
181.0ms	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))
61.0ms	(/ 2.0 (* r r))

simplify2.0s

Counts

189 → 189

Iterations

Iter	Nodes
done	5000
1	1276
0	386

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ 2.0 r) r) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
0.2b	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

rewrite593.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
120×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
95×	`add-cbrt-cube` `add-exp-log`
93×	`add-cube-cbrt`
63×	`associate-l`
48×	`prod-exp` `cbrt-unprod`
30×	`pow1`
21×	`cbrt-undiv` `div-exp`
18×	`pow-prod-down`
13×	`associate-/l*` `add-log-exp`
12×	`difference-of-squares`
10×	`distribute-lft-out--`
9×	`div-inv`
6×	`diff-log` `frac-sub`
4×	`associate-*l/`
3×	`associate-/r` `flip3--` `associate-r/` `flip--` `associate--r+`
2×	`sub-neg` `associate-r` `*-commutative` `associate--r-`
1×	`clear-num` `frac-2neg` `associate-/r/` `associate-/l/`

Counts

4 → 227

Calls

4 calls:

358.0ms	(- (/ (/ 2.0 r) r) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
72.0ms	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
19.0ms	(/ (/ 2.0 r) r)
131.0ms	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(- (/ (/ 2.0 r) r) (- (* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))) (- 3.0 4.5)))
111.0ms	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
34.0ms	(/ (/ 2.0 r) r)
155.0ms	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

simplify2.1s

Counts

239 → 239

Iterations

Iter	Nodes
done	5001
1	1452
0	485

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 r) r)
0.3b	(* (* w r) (* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* w r))))
0.3b	(* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* w r))
0.3b	(* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* w r)))

rewrite731.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
178×	`add-sqr-sqrt` `*-un-lft-identity`
142×	`add-cube-cbrt`
131×	`associate-l`
124×	`sqrt-prod`
55×	`add-cbrt-cube` `add-exp-log`
50×	`pow1`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`distribute-lft-out--` `difference-of-squares`
13×	`div-inv` `associate-/l*`
9×	`sqrt-div`
7×	`associate-*l/`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `associate-r` `-commutative`
2×	`frac-times` `associate-/r/`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 274

Calls

4 calls:

13.0ms	(/ (/ 2.0 r) r)
401.0ms	(* (* w r) (* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* w r))))
114.0ms	(* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* w r))
186.0ms	(* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* w r)))

series1.5s

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (/ 2.0 r) r)
363.0ms	(* (* w r) (* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* w r))))
748.0ms	(* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* w r))
368.0ms	(* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* (sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))) (* w r)))

simplify2.1s

Counts

286 → 286

Iterations

Iter	Nodes
done	5001
1	1424
0	502

prune2.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.4b	(sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (sqrt 0.125))))
0.8b	(/ (- 1.0 v) (sqrt 0.125))
1.0b	(/ 1 (sqrt 0.125))
1.0b	(/ 1 (/ 1 (sqrt 0.125)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

383×	`times-frac`
258×	`add-sqr-sqrt`
249×	`*-un-lft-identity`
219×	`sqrt-prod`
199×	`add-cube-cbrt`
34×	`associate-/r*`
29×	`add-exp-log`
25×	`distribute-lft-out--` `difference-of-squares`
17×	`div-exp`
13×	`add-cbrt-cube`
11×	`div-inv` `pow-flip` `associate-/l*`
10×	`pow1`
8×	`rec-exp` `1-exp`
5×	`cbrt-undiv`
4×	`rem-sqrt-square` `add-log-exp`
3×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `inv-pow`
2×	`associate-/r/` `associate-/l/`
1×	`flip3--` `sqrt-div` `div-sub` `flip--` `remove-double-div`

Counts

4 → 345

Calls

4 calls:

35.0ms	(sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (sqrt 0.125))))
13.0ms	(/ (- 1.0 v) (sqrt 0.125))
6.0ms	(/ 1 (sqrt 0.125))
12.0ms	(/ 1 (/ 1 (sqrt 0.125)))

series407.0ms

Counts

4 → 8

Calls

4 calls:

287.0ms	(sqrt (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) (sqrt 0.125))))
120.0ms	(/ (- 1.0 v) (sqrt 0.125))
0.0ms	(/ 1 (sqrt 0.125))
0.0ms	(/ 1 (/ 1 (sqrt 0.125)))

simplify2.6s

Counts

353 → 353

Iterations

Iter	Nodes
done	5000
2	2849
1	1310
0	570

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	40
1	40
0	32

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.9s

17011×

body

valid