Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

347×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	21	11
2	65	11
3	170	11
4	427	11
5	924	11
6	3073	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize6.0ms

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))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
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` `add-cube-cbrt` `associate-r/` `div-exp` `associate-l/`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

17.0ms	(* (- 1.0 x) (- 3.0 x))
11.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series71.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (- 1.0 x) (- 3.0 x))
48.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify581.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	136	998
1	413	961
2	2042	821
done	5001	821

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 138

Calls

3 calls:

10.0ms	(/ (- 3.0 x) 3.0)
7.0ms	(/ (- 1.0 x) y)
28.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series116.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (- 3.0 x) 3.0)
35.0ms	(/ (- 1.0 x) y)
44.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify656.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (242.0ms)

Iter	Nodes	Cost
0	202	1815
1	558	1751
2	1867	1580
done	5000	1580

prune265.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

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-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`flip3--` `div-sub` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 222

Calls

3 calls:

7.0ms	(/ (- 3.0 x) 3.0)
12.0ms	(/ (/ (- 3.0 x) 3.0) y)
40.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series128.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (- 3.0 x) 3.0)
38.0ms	(/ (/ (- 3.0 x) 3.0) y)
49.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify1.2s

Counts

231 → 231

Iterations

Useful iterations: 2 (491.0ms)

Iter	Nodes	Cost
0	311	3373
1	797	3185
2	3346	2992
done	5000	2992

prune446.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
18×	`add-cube-cbrt`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 68

Calls

2 calls:

18.0ms	(* (- 1.0 x) (/ (- 1.0 (* 0.3333333333333333 x)) y))
6.0ms	(/ (- 1.0 (* 0.3333333333333333 x)) y)

series100.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- 1.0 x) (/ (- 1.0 (* 0.3333333333333333 x)) y))
48.0ms	(/ (- 1.0 (* 0.3333333333333333 x)) y)

simplify565.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	130	1071
1	329	1039
2	1218	927
done	5000	927

prune133.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	10	11
done	10	11

end0.0ms

sample433.0ms

Algorithm

intervals

Results

265.0ms

10674×

body

valid