Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

341×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	21	11
2	65	11
3	179	11
4	508	11
5	1240	11
6	3397	11
done	5001	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize9.0ms

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))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
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` `associate-r/` `div-exp` `associate-l/`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `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 → 85

Calls

2 calls:

86.0ms	(* (- 1.0 x) (- 3.0 x))
57.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series122.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 x) (- 3.0 x))
92.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.7s

Counts

91 → 91

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	188	1602
1	491	1390
2	2233	1157
done	5002	1133

prune213.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite138.0ms

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

Calls

3 calls:

27.0ms	(/ (- 1.0 x) y)
27.0ms	(/ (- 3.0 x) 3.0)
77.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series210.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- 1.0 x) y)
84.0ms	(/ (- 3.0 x) 3.0)
84.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.7s

Counts

153 → 153

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	208	1863
1	558	1794
2	1811	1623
done	5000	1621

prune565.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

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)

rewrite195.0ms

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

Calls

3 calls:

21.0ms	(/ (- 3.0 x) 3.0)
107.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
48.0ms	(/ (/ (- 3.0 x) 3.0) y)

series214.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- 3.0 x) 3.0)
83.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
72.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify1.9s

Counts

237 → 237

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	317	3425
1	783	3232
2	2949	3039
done	5000	3037

prune889.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

rewrite277.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 320

Calls

4 calls:

39.0ms	(/ (- 3.0 x) 3.0)
26.0ms	(/ y (- 1.0 x))
149.0ms	(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))
40.0ms	(/ 1 (/ y (- 1.0 x)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (- 3.0 x) 3.0)
73.0ms	(/ y (- 1.0 x))
95.0ms	(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))
42.0ms	(/ 1 (/ y (- 1.0 x)))

simplify1.9s

Counts

332 → 332

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	413	4943
1	1103	4250
2	3110	3769
done	5000	3763

prune842.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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

sample1.3s

Algorithm

intervals

Results

1.1s

10602×

body

valid