Details

sample259.0ms

Algorithm

intervals

Results

142.0ms

581×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	2385
3	541
2	141
1	51
0	22

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.3b	(* (* w r) (* w r))
0.4b	(/ 2.0 (* r r))
0.7b	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-cbrt-cube` `add-exp-log`
55×	`times-frac`
43×	`pow1`
38×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
17×	`pow-prod-down`
11×	`associate-/r` `associate-/l`
7×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-plus` `associate-/l/`
1×	`pow2` `flip3--` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 159

Calls

4 calls:

40.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
41.0ms	(* (* w r) (* w r))
12.0ms	(/ 2.0 (* r r))
74.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
48.0ms	(* (* w r) (* w r))
44.0ms	(/ 2.0 (* r r))
81.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

simplify2.0s

Counts

171 → 171

Iterations

Iter	Nodes
done	5067
2	2977
1	701
0	246

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* 0.125 (* (/ (* w r) (- 1.0 v)) (* w r))) (- 3.0 (* 2.0 v)) 4.5)
0.1b	(/ (* w r) (- 1.0 v))
0.2b	(* (/ (* w r) (- 1.0 v)) (* w r))
0.4b	(/ 2.0 (* r r))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-cbrt-cube` `add-exp-log`
16×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`times-frac` `prod-exp` `cbrt-unprod`
11×	`associate-l`
10×	`add-cube-cbrt`
9×	`pow1`
8×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow-prod-down` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`associate-r` `associate-l/` `-commutative` `fma-udef`

Counts

4 → 99

Calls

4 calls:

0.0ms	(fma (* 0.125 (* (/ (* w r) (- 1.0 v)) (* w r))) (- 3.0 (* 2.0 v)) 4.5)
15.0ms	(/ (* w r) (- 1.0 v))
35.0ms	(* (/ (* w r) (- 1.0 v)) (* w r))
6.0ms	(/ 2.0 (* r r))

series311.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(fma (* 0.125 (* (/ (* w r) (- 1.0 v)) (* w r))) (- 3.0 (* 2.0 v)) 4.5)
79.0ms	(/ (* w r) (- 1.0 v))
72.0ms	(* (/ (* w r) (- 1.0 v)) (* w r))
28.0ms	(/ 2.0 (* r r))

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5005
2	2395
1	574
0	201

prune886.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (* w r) (* w r))
0.7b	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
78×	`add-sqr-sqrt` `*-un-lft-identity`
66×	`add-cube-cbrt`
64×	`add-cbrt-cube` `add-exp-log`
43×	`pow1`
24×	`prod-exp` `cbrt-unprod`
21×	`associate-/l*`
19×	`cbrt-undiv` `div-exp`
17×	`pow-prod-down`
13×	`associate-/r*`
11×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`pow-plus`
1×	`pow2` `flip3--` `div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--`

Counts

4 → 208

Calls

4 calls:

36.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
9.0ms	(/ (/ 2.0 r) r)
25.0ms	(* (* w r) (* w r))
41.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
55.0ms	(/ (/ 2.0 r) r)
58.0ms	(* (* w r) (* w r))
80.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))

simplify2.4s

Counts

220 → 220

Iterations

Iter	Nodes
done	5015
2	3427
1	919
0	342

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* w r))
0.2b	(/ 1 (* w r))
0.3b	(* (/ 1 (* w r)) (/ (- 1.0 v) (* w r)))
0.7b	(/ 0.125 (* (/ 1 (* w r)) (/ (- 1.0 v) (* w r))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-exp-log`
97×	`add-cbrt-cube`
80×	`div-exp`
78×	`prod-exp`
38×	`cbrt-undiv`
32×	`cbrt-unprod`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
14×	`rec-exp` `1-exp` `add-cube-cbrt`
11×	`associate-/l*`
9×	`pow1` `associate-r`
7×	`associate-l`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `associate-/r/` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `pow-flip` `associate-/l/`
1×	`flip3--` `div-sub` `*-commutative` `flip--` `inv-pow` `unswap-sqr`

Counts

4 → 175

Calls

4 calls:

31.0ms	(/ (- 1.0 v) (* w r))
9.0ms	(/ 1 (* w r))
80.0ms	(* (/ 1 (* w r)) (/ (- 1.0 v) (* w r)))
64.0ms	(/ 0.125 (* (/ 1 (* w r)) (/ (- 1.0 v) (* w r))))

series219.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (- 1.0 v) (* w r))
12.0ms	(/ 1 (* w r))
59.0ms	(* (/ 1 (* w r)) (/ (- 1.0 v) (* w r)))
98.0ms	(/ 0.125 (* (/ 1 (* w r)) (/ (- 1.0 v) (* w r))))

simplify2.3s

Counts

187 → 187

Iterations

Iter	Nodes
done	5006
2	3594
1	723
0	254

prune950.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes853.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.9s

17049×

body

valid