Details

sample38.0ms

Algorithm

intervals

Results

19.0ms

341×

body

valid

simplify977.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	204
1	21	204
2	65	204
3	175	204
4	483	204
5	1616	204
done	5002	204

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
3.3b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite72.0ms

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:

36.0ms	(* (- 1.0 x) (- 3.0 x))
34.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series100.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) (- 3.0 x))
72.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify2.0s

Counts

69 → 69

Iterations

Useful iterations: 2 (830.0ms)

Iter	Nodes	Cost
0	136	20864
1	418	17291
2	2674	16448
done	5000	16448

prune309.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite117.0ms

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:

19.0ms	(/ (- 1.0 x) y)
16.0ms	(/ (- 3.0 x) 3.0)
78.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series179.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (- 1.0 x) y)
70.0ms	(/ (- 3.0 x) 3.0)
70.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify2.2s

Counts

147 → 147

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	202	37580
1	578	35149
2	3264	34102
done	5000	33942

prune617.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

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:

13.0ms	(/ (- 3.0 x) 3.0)
59.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
18.0ms	(/ (/ (- 3.0 x) 3.0) y)

series201.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (- 3.0 x) 3.0)
70.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
58.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify1.2s

Counts

231 → 231

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	311	74109
1	846	68649
done	5000	67156

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.1b	(/ (- 3.0 x) (cbrt 3.0))
0.2b	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
157×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
78×	`add-cube-cbrt`
61×	`add-exp-log`
43×	`add-cbrt-cube`
36×	`cbrt-prod`
34×	`associate-r`
29×	`associate-/l*`
26×	`distribute-lft-out--` `difference-of-squares`
25×	`cbrt-undiv` `div-exp`
23×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*`
9×	`unswap-sqr`
8×	`div-inv`
6×	`pow1`
5×	`associate-/l/`
4×	`div-sub` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`flip3--` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 251

Calls

4 calls:

21.0ms	(/ (- 1.0 x) y)
26.0ms	(/ (- 3.0 x) (cbrt 3.0))
41.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
109.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- 1.0 x) y)
111.0ms	(/ (- 3.0 x) (cbrt 3.0))
213.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
154.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify1.4s

Counts

263 → 263

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	332	104659
1	1050	98777
done	5000	96674

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	204
1	10	204
done	10	204

end0.0ms

sample824.0ms

Algorithm

intervals

Results

583.0ms

10749×

body

valid