Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

351×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1198
4	447
3	163
2	63
1	21
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.4b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
12×	`flip3--` `flip--`
10×	`add-sqr-sqrt`
8×	`frac-times` `*-un-lft-identity` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

33.0ms	(* (- 1.0 x) (- 3.0 x))
30.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series104.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- 1.0 x) (- 3.0 x))
66.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.5s

Counts

69 → 69

Iterations

Iter	Nodes
done	5037
2	2158
1	415
0	136

prune244.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.0b	(/ (- 3.0 x) 3.0)
0.1b	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 138

Calls

3 calls:

14.0ms	(/ (- 1.0 x) y)
14.0ms	(/ (- 3.0 x) 3.0)
46.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series128.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- 1.0 x) y)
44.0ms	(/ (- 3.0 x) 3.0)
49.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.4s

Counts

147 → 147

Iterations

Iter	Nodes
done	5002
2	1843
1	576
0	202

prune541.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.1b	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
0.1b	(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))
0.2b	(/ (- 3.0 x) (cbrt 3.0))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

190×	`add-exp-log`
122×	`add-sqr-sqrt`
105×	`times-frac`
104×	`*-un-lft-identity`
90×	`prod-exp`
72×	`add-cbrt-cube`
62×	`div-exp`
61×	`add-cube-cbrt`
38×	`cbrt-unprod`
36×	`cbrt-prod`
35×	`associate-r`
30×	`cbrt-undiv`
26×	`associate-l`
20×	`distribute-lft-out--` `difference-of-squares`
12×	`rec-exp` `1-exp`
11×	`pow1`
10×	`associate-/l*`
9×	`associate-/r*` `unswap-sqr`
6×	`frac-times` `associate-*r/`
5×	`div-inv`
4×	`pow-prod-down` `associate-*l/` `add-log-exp` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `div-sub` `*-commutative` `flip--`

Counts

4 → 257

Calls

4 calls:

12.0ms	(/ (- 1.0 x) y)
63.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
173.0ms	(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))
13.0ms	(/ (- 3.0 x) (cbrt 3.0))

series434.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (- 1.0 x) y)
160.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
132.0ms	(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))
96.0ms	(/ (- 3.0 x) (cbrt 3.0))

simplify2.3s

Counts

269 → 269

Iterations

Iter	Nodes
done	5005
2	4225
1	1062
0	348

prune828.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) y)
0.1b	(* (- 1.0 x) (/ (/ (- 3.0 x) y) 3.0))
0.2b	(/ (/ (- 3.0 x) y) 3.0)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
178×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
26×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`flip3--` `div-sub` `prod-exp` `cbrt-unprod` `flip--` `add-log-exp` `unswap-sqr` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*l/`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 222

Calls

3 calls:

18.0ms	(/ (- 3.0 x) y)
77.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) y) 3.0))
29.0ms	(/ (/ (- 3.0 x) y) 3.0)

series169.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (- 3.0 x) y)
67.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) y) 3.0))
59.0ms	(/ (/ (- 3.0 x) y) 3.0)

simplify2.0s

Counts

231 → 231

Iterations

Iter	Nodes
done	5007
2	2692
1	837
0	310

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

843.0ms

10735×

body

valid