Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

341×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	204
1	21	204
2	65	204
3	179	204
4	518	204
5	1773	204
done	5000	204

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize13.0ms

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))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `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 → 85

Calls

2 calls:

47.0ms	(* (- 1.0 x) (- 3.0 x))
26.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series106.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (- 1.0 x) (- 3.0 x))
57.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify2.7s

Counts

91 → 91

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	188	32564
1	544	27042
2	3889	22680
done	5001	22680

prune360.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite139.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 144

Calls

3 calls:

25.0ms	(/ (- 1.0 x) y)
27.0ms	(/ (- 3.0 x) 3.0)
81.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series180.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- 1.0 x) y)
67.0ms	(/ (- 3.0 x) 3.0)
67.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify2.7s

Counts

153 → 153

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	208	38798
1	590	36242
2	3341	35315
done	5002	35195

prune787.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

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)

rewrite163.0ms

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×	`expm1-log1p-u` `flip3--` `div-sub` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 228

Calls

3 calls:

14.0ms	(/ (- 3.0 x) 3.0)
102.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
35.0ms	(/ (/ (- 3.0 x) 3.0) y)

series233.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- 3.0 x) 3.0)
89.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
74.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify1.1s

Counts

237 → 237

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	317	75407
1	860	69822
done	5001	68249

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize46.0ms

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)))

rewrite219.0ms

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×	`expm1-log1p-u` `div-sub` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`flip3--` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 259

Calls

4 calls:

30.0ms	(/ (- 1.0 x) y)
21.0ms	(/ (- 3.0 x) (cbrt 3.0))
23.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
121.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (- 1.0 x) y)
149.0ms	(/ (- 3.0 x) (cbrt 3.0))
268.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
148.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify1.4s

Counts

271 → 271

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	340	107005
1	1066	100916
done	5001	98655

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample969.0ms

Algorithm

intervals

Results

683.0ms

10749×

body

valid