Details

sample42.0ms

Algorithm

intervals

Results

25.0ms

347×

body

valid

simplify1.7s

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	518	11
5	1783	11
done	5001	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
4.6b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite134.0ms

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:

67.0ms	(* (- 1.0 x) (- 3.0 x))
62.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series87.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 x) (- 3.0 x))
58.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify2.5s

Counts

91 → 91

Iterations

Useful iterations: 2 (711.0ms)

Iter	Nodes	Cost
0	188	1602
1	544	1396
2	3894	1165
done	5001	1165

prune254.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite170.0ms

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:

32.0ms	(/ (- 3.0 x) 3.0)
38.0ms	(/ (- 1.0 x) y)
91.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series194.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (- 3.0 x) 3.0)
54.0ms	(/ (- 1.0 x) y)
61.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify2.2s

Counts

153 → 153

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	208	1863
1	590	1794
2	3367	1643
done	5001	1631

prune465.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))

rewrite138.0ms

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:

26.0ms	(/ (- 3.0 x) 3.0)
24.0ms	(/ (/ (- 3.0 x) 3.0) y)
73.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series222.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (- 3.0 x) 3.0)
62.0ms	(/ (/ (- 3.0 x) 3.0) y)
78.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify661.0ms

Counts

237 → 237

Iterations

Useful iterations: done (644.0ms)

Iter	Nodes	Cost
0	317	3425
1	860	3244
done	5000	3079

prune861.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

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

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
59×	`add-exp-log`
48×	`*-un-lft-identity`
46×	`times-frac`
35×	`add-cbrt-cube`
30×	`add-cube-cbrt`
25×	`prod-exp`
24×	`associate-l`
17×	`div-exp`
14×	`associate-r`
13×	`cbrt-unprod`
12×	`frac-times`
10×	`pow1`
9×	`cbrt-undiv`
8×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `associate-*l/` `flip--` `unswap-sqr`
5×	`associate-/l*`
4×	`rec-exp` `1-exp` `pow-prod-down` `un-div-inv`
3×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`*-commutative` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num`

Counts

3 → 151

Calls

3 calls:

28.0ms	(/ (- 3.0 x) 3.0)
94.0ms	(* (- 1.0 x) (* (/ (- 3.0 x) 3.0) (/ 1 y)))
84.0ms	(* (/ (- 3.0 x) 3.0) (/ 1 y))

series224.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- 3.0 x) 3.0)
88.0ms	(* (- 1.0 x) (* (/ (- 3.0 x) 3.0) (/ 1 y)))
65.0ms	(* (/ (- 3.0 x) 3.0) (/ 1 y))

simplify2.7s

Counts

160 → 160

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	242	2230
1	709	1971
2	3773	1679
done	5002	1671

prune514.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes134.0ms

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	11
1	10	11
done	10	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

10663×

body

valid