Details

sample278.0ms

Algorithm

intervals

Results

137.0ms

531×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* (* w r) (* w r)))
0.2b	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))
0.3b	(* (* w r) (* w r))
0.6b	(/ 2.0 (* r r))

rewrite152.0ms

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)))
37.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))
40.0ms	(* (* w r) (* w r))
26.0ms	(/ 2.0 (* r r))

series268.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
76.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))
51.0ms	(* (* w r) (* w r))
60.0ms	(/ 2.0 (* r r))

simplify2.0s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	3143
1	699
0	246

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

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:

45.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
17.0ms	(/ (/ 2.0 r) r)
40.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))
35.0ms	(* (* w r) (* w r))

series265.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ (- 1.0 v) (* (* w r) (* w r)))
35.0ms	(/ (/ 2.0 r) r)
95.0ms	(/ 0.125 (/ (- 1.0 v) (* (* w r) (* w r))))
60.0ms	(* (* w r) (* w r))

simplify2.3s

Counts

220 → 220

Iterations

Iter	Nodes
done	5383
2	3546
1	924
0	342

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (* (* w r) (* w r)) (- 1.0 v)))
0.2b	(/ (/ 2.0 r) r)
0.2b	(/ 0.125 (/ 1 (/ (* (* w r) (* w r)) (- 1.0 v))))
0.3b	(* (* w r) (* w r))

rewrite611.0ms

Algorithm

rewrite-expression-head

Rules

434×	`times-frac`
209×	`add-sqr-sqrt` `*-un-lft-identity`
177×	`add-cube-cbrt`
167×	`add-exp-log`
79×	`add-cbrt-cube`
76×	`div-exp`
56×	`prod-exp`
52×	`associate-/r*`
44×	`pow1`
38×	`associate-/r/`
32×	`cbrt-undiv`
27×	`div-inv`
24×	`cbrt-unprod`
19×	`associate-/l*`
17×	`pow-prod-down`
16×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
12×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 388

Calls

4 calls:

75.0ms	(/ 1 (/ (* (* w r) (* w r)) (- 1.0 v)))
400.0ms	(/ (/ 2.0 r) r)
61.0ms	(/ 0.125 (/ 1 (/ (* (* w r) (* w r)) (- 1.0 v))))
26.0ms	(* (* w r) (* w r))

series282.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ 1 (/ (* (* w r) (* w r)) (- 1.0 v)))
36.0ms	(/ (/ 2.0 r) r)
106.0ms	(/ 0.125 (/ 1 (/ (* (* w r) (* w r)) (- 1.0 v))))
58.0ms	(* (* w r) (* w r))

simplify3.3s

Counts

400 → 400

Iterations

Iter	Nodes
done	5000
2	4907
1	1732
0	615

prune2.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 r) r)
0.2b	(/ (- 1.0 v) (* w r))
0.3b	(* (* w r) (/ 0.125 (/ (- 1.0 v) (* w r))))
0.9b	(/ 0.125 (/ (- 1.0 v) (* w r)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

169×	`times-frac`
100×	`add-sqr-sqrt` `*-un-lft-identity`
82×	`add-cube-cbrt`
55×	`add-cbrt-cube` `add-exp-log`
32×	`associate-r`
21×	`associate-/l*`
20×	`cbrt-undiv` `div-exp`
16×	`prod-exp` `cbrt-unprod`
15×	`div-inv`
13×	`associate-/r*`
9×	`pow1` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/l/`
2×	`associate-/r/`
1×	`flip3--` `div-sub` `associate-l` `associate-r/` `-commutative` `flip--`

Counts

4 → 222

Calls

4 calls:

18.0ms	(/ (/ 2.0 r) r)
17.0ms	(/ (- 1.0 v) (* w r))
64.0ms	(* (* w r) (/ 0.125 (/ (- 1.0 v) (* w r))))
14.0ms	(/ 0.125 (/ (- 1.0 v) (* w r)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (/ 2.0 r) r)
50.0ms	(/ (- 1.0 v) (* w r))
96.0ms	(* (* w r) (/ 0.125 (/ (- 1.0 v) (* w r))))
62.0ms	(/ 0.125 (/ (- 1.0 v) (* w r)))

simplify2.8s

Counts

234 → 234

Iterations

Iter	Nodes
done	5001
2	4533
1	1119
0	387

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes709.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	24

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.8s

17054×

body

valid