Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

342×

body

valid

simplify3.0s

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: 4.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
3.8b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite75.0ms

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:

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

series74.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (- 1.0 x) (- 3.0 x))
50.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify978.0ms

Counts

91 → 91

Iterations

Useful iterations: done (972.0ms)

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

prune164.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite95.0ms

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:

17.0ms	(/ (- 1.0 x) y)
20.0ms	(/ (- 3.0 x) 3.0)
52.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- 1.0 x) y)
44.0ms	(/ (- 3.0 x) 3.0)
57.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.1s

Counts

153 → 153

Iterations

Useful iterations: done (1.1s)

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

prune310.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

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)

rewrite114.0ms

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:

19.0ms	(/ (- 3.0 x) 3.0)
61.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
21.0ms	(/ (/ (- 3.0 x) 3.0) y)

series133.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (- 3.0 x) 3.0)
52.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
41.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify1.4s

Counts

237 → 237

Iterations

Useful iterations: done (1.4s)

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

prune540.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
0.1b	(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
0.2b	(* 0.3333333333333333 (/ x y))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
46×	`times-frac`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
39×	`prod-diff`
16×	`associate-r`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg` `associate-*r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-l`
7×	`pow1`
5×	`div-inv` `add-log-exp`
4×	`frac-sub` `sub-div`
3×	`expm1-log1p-u` `sub-neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`cbrt-undiv` `diff-log` `div-exp` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 142

Calls

3 calls:

21.0ms	(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
70.0ms	(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
14.0ms	(* 0.3333333333333333 (/ x y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (/ 1.0 y) (* 0.3333333333333333 (/ x y)))
51.0ms	(* (- 1.0 x) (- (/ 1.0 y) (* 0.3333333333333333 (/ x y))))
26.0ms	(* 0.3333333333333333 (/ x y))

simplify1.0s

Counts

151 → 151

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	235	2820
1	544	2733
2	2085	2462
done	5002	2384

prune334.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

sample498.0ms

Algorithm

intervals

Results

267.0ms

10686×

body

valid