Details

sample408.0ms

Algorithm

intervals

Results

194.0ms

538×

body

valid

simplify899.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2274
3	526
2	144
1	53
0	22

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
0.7b	(/ 2 (* r r))
4.4b	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))
5.9b	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-cbrt-cube` `add-exp-log`
84×	`pow1`
71×	`prod-exp` `cbrt-unprod`
48×	`pow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`cbrt-undiv` `div-exp`
9×	`times-frac`
8×	`add-cube-cbrt`
7×	`associate-/r*`
4×	`associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l*` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-r` `associate-l` `associate-/r/` `*-commutative` `div-inv` `distribute-lft-out--` `associate-/l/`
1×	`pow2` `swap-sqr`

Counts

4 → 150

Calls

4 calls:

33.0ms	(* (* w r) (* w r))
13.0ms	(/ 2 (* r r))
119.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))
128.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))

series422.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* w r) (* w r))
38.0ms	(/ 2 (* r r))
177.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))
174.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))

simplify1.0s

Counts

162 → 162

Iterations

Iter	Nodes
2	3126
1	697
0	230

prune2.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
0.2b	(* (- 3 (* 2 v)) 0.125)
0.4b	(* (* w r) (* w r))
0.7b	(/ 2 (* r r))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-cbrt-cube` `add-exp-log`
45×	`pow1`
39×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `times-frac` `div-exp`
20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `pow-prod-down`
13×	`associate-/r*`
12×	`add-cube-cbrt`
6×	`associate-*l/`
5×	`associate-/r/`
4×	`associate-r` `associate-l` `pow-sqr` `pow-prod-up` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`clear-num` `frac-2neg` `pow-plus` `*-commutative` `distribute-lft-out--`
1×	`pow2` `swap-sqr` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

42.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
12.0ms	(* (- 3 (* 2 v)) 0.125)
30.0ms	(* (* w r) (* w r))
19.0ms	(/ 2 (* r r))

series264.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
79.0ms	(* (- 3 (* 2 v)) 0.125)
34.0ms	(* (* w r) (* w r))
30.0ms	(/ 2 (* r r))

simplify1.1s

Counts

157 → 157

Iterations

Iter	Nodes
2	3266
1	772
0	252

prune2.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1 v) (- 0.375 (* 0.25 v)))
0.1b	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
0.4b	(* (* w r) (* w r))
0.7b	(/ 2 (* r r))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
67×	`add-sqr-sqrt` `*-un-lft-identity`
64×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
37×	`add-cube-cbrt`
28×	`associate-/r*`
25×	`prod-exp` `cbrt-unprod`
20×	`difference-of-squares`
18×	`cbrt-undiv` `div-exp`
17×	`pow-prod-down`
10×	`associate-/l*` `distribute-lft-out--`
7×	`associate-/r/`
5×	`div-inv`
4×	`flip3--` `pow-sqr` `pow-prod-up` `insert-posit16` `flip--` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `associate-/l/`
1×	`pow2` `div-sub` `swap-sqr` `associate-r` `associate-l` `*-commutative`

Counts

4 → 183

Calls

4 calls:

20.0ms	(/ (- 1 v) (- 0.375 (* 0.25 v)))
44.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
44.0ms	(* (* w r) (* w r))
13.0ms	(/ 2 (* r r))

series246.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (- 1 v) (- 0.375 (* 0.25 v)))
114.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
42.0ms	(* (* w r) (* w r))
37.0ms	(/ 2 (* r r))

simplify1.1s

Counts

195 → 195

Iterations

Iter	Nodes
2	3761
1	949
0	296

prune2.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1 v) (- 0.375 (* 0.25 v)))
0.1b	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
0.2b	(/ (/ 2 r) r)
0.4b	(* (* w r) (* w r))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 232

Calls

4 calls:

27.0ms	(/ (- 1 v) (- 0.375 (* 0.25 v)))
70.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
20.0ms	(/ (/ 2 r) r)
39.0ms	(* (* w r) (* w r))

series280.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (- 1 v) (- 0.375 (* 0.25 v)))
125.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
50.0ms	(/ (/ 2 r) r)
42.0ms	(* (* w r) (* w r))

simplify1.7s

Counts

244 → 244

Iterations

Iter	Nodes
2	4211
1	1139
0	392

prune3.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes336.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	27
1	27
0	22

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.3s

17139×

body

valid