Details

sample456.0ms

Algorithm

intervals

Results

209.0ms

564×

body

valid

simplify654.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
3	526
2	144
1	53
0	22

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.8b

localize82.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
0.4b	(/ 2 (* r r))
3.6b	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))
3.8b	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))

rewrite317.0ms

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:

29.0ms	(* (* w r) (* w r))
7.0ms	(/ 2 (* r r))
125.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))
147.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))

series410.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* w r) (* w r))
33.0ms	(/ 2 (* r r))
138.0ms	(/ (* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125)) (- 1 v))
194.0ms	(* (* (* w r) (* w r)) (* (- 3 (* 2 v)) 0.125))

simplify633.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	2001
1	708
0	230

prune868.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

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:

58.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
20.0ms	(* (- 3 (* 2 v)) 0.125)
35.0ms	(* (* w r) (* w r))
13.0ms	(/ 2 (* r r))

series261.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (* (- 3 (* 2 v)) 0.125)))
66.0ms	(* (- 3 (* 2 v)) 0.125)
47.0ms	(* (* w r) (* w r))
35.0ms	(/ 2 (* r r))

simplify608.0ms

Counts

157 → 157

Iterations

Iter	Nodes
done	2000
1	788
0	252

prune780.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ 2 (* r r)) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v)))))
0.2b	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
0.4b	(* (* w r) (* w r))
0.4b	(/ 2 (* r r))

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
62×	`add-cbrt-cube` `add-exp-log`
53×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
43×	`pow1`
26×	`add-cube-cbrt`
25×	`associate-/r*` `prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp` `pow-prod-down`
15×	`difference-of-squares`
13×	`add-log-exp`
10×	`distribute-lft-out--`
5×	`associate-/r/`
4×	`flip3--` `diff-log` `pow-sqr` `pow-prod-up` `frac-sub` `insert-posit16` `div-inv` `flip--` `associate-/l*`
2×	`clear-num` `sum-log` `frac-2neg` `pow-plus` `frac-add` `distribute-lft-out`
1×	`associate--l-` `pow2` `associate-+r-` `sub-neg` `flip3-+` `swap-sqr` `associate-r` `associate-l` `associate--l+` `*-commutative` `flip-+`

Counts

4 → 165

Calls

4 calls:

265.0ms	(- (+ (/ 2 (* r r)) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v)))))
48.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
38.0ms	(* (* w r) (* w r))
13.0ms	(/ 2 (* r r))

series388.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(- (+ (/ 2 (* r r)) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v)))))
136.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
44.0ms	(* (* w r) (* w r))
33.0ms	(/ 2 (* r r))

simplify881.0ms

Counts

177 → 177

Iterations

Iter	Nodes
done	2000
1	1185
0	349

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v)))))
0.2b	(/ (/ 2 r) r)
0.2b	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
0.4b	(* (* w r) (* w r))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
93×	`*-un-lft-identity`
91×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
62×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
27×	`associate-/r*`
24×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
17×	`pow-prod-down`
15×	`difference-of-squares`
14×	`associate-/l*`
13×	`add-log-exp`
10×	`distribute-lft-out--`
8×	`div-inv`
5×	`associate-/r/`
4×	`flip3--` `diff-log` `pow-sqr` `pow-prod-up` `frac-sub` `insert-posit16` `flip--`
2×	`clear-num` `sum-log` `frac-2neg` `pow-plus` `frac-add` `distribute-lft-out`
1×	`associate--l-` `pow2` `associate-+r-` `sub-neg` `flip3-+` `swap-sqr` `associate-r` `associate-l` `associate--l+` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 214

Calls

4 calls:

197.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v)))))
8.0ms	(/ (/ 2 r) r)
53.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
25.0ms	(* (* w r) (* w r))

series429.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(- (+ (/ (/ 2 r) r) (- 3 4.5)) (/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v)))))
52.0ms	(/ (/ 2 r) r)
141.0ms	(/ (* (* w r) (* w r)) (/ (- 1 v) (- 0.375 (* 0.25 v))))
61.0ms	(* (* w r) (* w r))

simplify997.0ms

Counts

226 → 226

Iterations

Iter	Nodes
done	2001
1	1363
0	445

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes753.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.4s

17065×

body

valid