Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

345×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
4.7b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite71.0ms

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` `insert-posit16` `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 → 65

Calls

2 calls:

32.0ms	(* (- 1.0 x) (- 3.0 x))
37.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series85.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) (- 3.0 x))
56.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	2146
1	417
0	138

prune230.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite135.0ms

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×	`insert-posit16` `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 → 141

Calls

3 calls:

24.0ms	(/ (- 1.0 x) y)
24.0ms	(/ (- 3.0 x) 3.0)
81.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series185.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- 1.0 x) y)
64.0ms	(/ (- 3.0 x) 3.0)
67.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.2s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	1817
1	579
0	205

prune452.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.1b	(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-/r` `flip3--` `associate-r*` `flip--`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 86

Calls

2 calls:

19.0ms	(/ (- 1.0 x) y)
49.0ms	(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- 1.0 x) y)
61.0ms	(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5003
2	1320
1	396
0	146

prune336.0ms

Pruning

6 alts after pruning (4 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))) (/ (- 3.0 x) (cbrt 3.0)))
0.2b	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))

rewrite215.0ms

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` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`flip3--` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 255

Calls

4 calls:

26.0ms	(/ (- 1.0 x) y)
17.0ms	(/ (- 3.0 x) (cbrt 3.0))
133.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
23.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- 1.0 x) y)
86.0ms	(/ (- 3.0 x) (cbrt 3.0))
128.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
209.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))

simplify2.0s

Counts

267 → 267

Iterations

Iter	Nodes
done	5004
2	3696
1	1019
0	336

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

987.0ms

10672×

body

valid