Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

341×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	21	11
2	65	11
3	175	11
4	475	11
5	1073	11
6	2848	11
done	5002	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
8.7b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite89.0ms

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:

49.0ms	(* (- 1.0 x) (- 3.0 x))
37.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series98.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (- 1.0 x) (- 3.0 x))
58.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.0s

Counts

69 → 69

Iterations

Useful iterations: 2 (305.0ms)

Iter	Nodes	Cost
0	136	998
1	406	961
2	2048	821
done	5001	821

prune199.0ms

Pruning

3 alts after pruning (3 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))

rewrite140.0ms

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:

15.0ms	(/ (- 1.0 x) y)
19.0ms	(/ (- 3.0 x) 3.0)
96.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series134.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- 1.0 x) y)
45.0ms	(/ (- 3.0 x) 3.0)
53.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.3s

Counts

147 → 147

Iterations

Useful iterations: 2 (387.0ms)

Iter	Nodes	Cost
0	202	1815
1	546	1751
2	1773	1580
done	5000	1580

prune452.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite170.0ms

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:

33.0ms	(/ (- 3.0 x) 3.0)
86.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
26.0ms	(/ (/ (- 3.0 x) 3.0) y)

series175.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (- 3.0 x) 3.0)
50.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
60.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify1.7s

Counts

231 → 231

Iterations

Useful iterations: 2 (669.0ms)

Iter	Nodes	Cost
0	311	3373
1	770	3185
2	2918	2992
done	5002	2992

prune784.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

293×	`times-frac`
237×	`add-sqr-sqrt`
208×	`*-un-lft-identity`
140×	`add-cube-cbrt`
68×	`associate-l`
64×	`add-exp-log`
34×	`add-cbrt-cube`
32×	`distribute-lft-out--` `difference-of-squares`
30×	`div-exp`
29×	`associate-/r*`
19×	`associate-r`
18×	`associate-/r/`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
11×	`associate-/l*`
10×	`unswap-sqr`
9×	`flip3--` `flip--`
7×	`pow1`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 312

Calls

4 calls:

15.0ms	(/ (- 3.0 x) 3.0)
11.0ms	(/ y (- 1.0 x))
125.0ms	(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))
35.0ms	(/ 1 (/ y (- 1.0 x)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (- 3.0 x) 3.0)
37.0ms	(/ y (- 1.0 x))
66.0ms	(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))
48.0ms	(/ 1 (/ y (- 1.0 x)))

simplify2.2s

Counts

324 → 324

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	405	4875
1	1084	4201
2	3064	3719
done	5000	3667

prune902.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes97.0ms

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 (0.0ms)

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

10602×

body

valid