Details

sample225.0ms

Algorithm

intervals

Results

114.0ms

539×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))
0.1b	(* (/ (- 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)))
0.6b	(/ 2.0 (* r r))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
151×	`add-sqr-sqrt` `*-un-lft-identity`
109×	`add-cube-cbrt`
100×	`add-cbrt-cube` `add-exp-log`
63×	`associate-l`
49×	`prod-exp` `cbrt-unprod`
30×	`pow1`
23×	`cbrt-undiv` `div-exp`
21×	`distribute-lft-out--` `difference-of-squares`
20×	`associate-/r*`
18×	`pow-prod-down`
10×	`div-inv`
6×	`associate-/l*`
4×	`add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`
1×	`flip3--` `div-sub` `associate-*r/` `flip--`

Counts

4 → 249

Calls

4 calls:

42.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))
72.0ms	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
114.0ms	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))
9.0ms	(/ 2.0 (* r r))

series405.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))
93.0ms	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
175.0ms	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))
44.0ms	(/ 2.0 (* r r))

simplify3.0s

Counts

261 → 261

Iterations

Iter	Nodes
done	5002
2	4781
1	1350
0	400

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))
0.1b	(* (/ (- 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)))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
191×	`add-sqr-sqrt` `*-un-lft-identity`
149×	`add-cube-cbrt`
100×	`add-cbrt-cube` `add-exp-log`
63×	`associate-l`
48×	`prod-exp` `cbrt-unprod`
30×	`pow1`
24×	`cbrt-undiv` `div-exp`
22×	`associate-/r*`
21×	`distribute-lft-out--` `difference-of-squares`
18×	`pow-prod-down`
16×	`associate-/l*`
14×	`div-inv`
4×	`add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `associate-r` `associate-l/` `associate-/r/` `-commutative`
1×	`flip3--` `div-sub` `associate-*r/` `flip--`

Counts

4 → 298

Calls

4 calls:

28.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))
103.0ms	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
10.0ms	(/ (/ 2.0 r) r)
115.0ms	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125))
91.0ms	(* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r))
34.0ms	(/ (/ 2.0 r) r)
166.0ms	(* (* w r) (* (/ (- 3.0 (* v 2.0)) (/ (- 1.0 v) 0.125)) (* w r)))

simplify1.7s

Counts

310 → 310

Iterations

Iter	Nodes
done	5000
1	1541
0	496

prune2.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (* (- 3.0 (* 2.0 v)) (sqrt 0.125)) (/ (- 1.0 v) (sqrt 0.125)))
0.6b	(/ 2.0 (* r r))
0.7b	(* (- 3.0 (* 2.0 v)) (sqrt 0.125))
0.7b	(/ (- 1.0 v) (sqrt 0.125))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
104×	`add-sqr-sqrt`
100×	`*-un-lft-identity`
62×	`add-cube-cbrt`
52×	`sqrt-prod`
41×	`associate-/r*`
25×	`add-cbrt-cube` `add-exp-log`
19×	`distribute-lft-out--` `difference-of-squares`
9×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`pow1` `associate-r`
5×	`div-inv`
4×	`associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg` `flip3--` `associate-l` `flip--`
2×	`unswap-sqr`
1×	`div-sub` `pow-prod-down` `associate-/r/` `*-commutative`

Counts

4 → 191

Calls

4 calls:

43.0ms	(/ (* (- 3.0 (* 2.0 v)) (sqrt 0.125)) (/ (- 1.0 v) (sqrt 0.125)))
7.0ms	(/ 2.0 (* r r))
34.0ms	(* (- 3.0 (* 2.0 v)) (sqrt 0.125))
27.0ms	(/ (- 1.0 v) (sqrt 0.125))

series443.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(/ (* (- 3.0 (* 2.0 v)) (sqrt 0.125)) (/ (- 1.0 v) (sqrt 0.125)))
58.0ms	(/ 2.0 (* r r))
126.0ms	(* (- 3.0 (* 2.0 v)) (sqrt 0.125))
104.0ms	(/ (- 1.0 v) (sqrt 0.125))

simplify2.4s

Counts

203 → 203

Iterations

Iter	Nodes
done	5014
2	2963
1	851
0	285

prune1.5s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 2.0 (* r r))
0.6b	(/ 2.0 (* r r))
8.8b	(sqrt (/ 2.0 (* r r)))
8.8b	(sqrt (/ 2.0 (* r r)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`times-frac` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `div-inv` `add-log-exp`
2×	`clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod`

Counts

4 → 80

Calls

4 calls:

12.0ms	(/ 2.0 (* r r))
12.0ms	(/ 2.0 (* r r))
6.0ms	(sqrt (/ 2.0 (* r r)))
6.0ms	(sqrt (/ 2.0 (* r r)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 2.0 (* r r))
51.0ms	(/ 2.0 (* r r))
50.0ms	(sqrt (/ 2.0 (* r r)))
54.0ms	(sqrt (/ 2.0 (* r r)))

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5010
3	1426
2	327
1	129
0	63

prune872.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s

17108×

body

valid