Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

336×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	204
1	21	204
2	63	204
3	167	204
4	482	204
5	1348	204
done	5005	204

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
7.7b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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` `div-exp` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

45.0ms	(* (- 1.0 x) (- 3.0 x))
28.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series123.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- 1.0 x) (- 3.0 x))
85.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify2.0s

Counts

91 → 91

Iterations

Useful iterations: 2 (764.0ms)

Iter	Nodes	Cost
0	188	32564
1	540	27042
2	2772	22680
done	5002	22680

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 144

Calls

3 calls:

14.0ms	(/ (- 3.0 x) 3.0)
16.0ms	(/ (- 1.0 x) y)
44.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- 3.0 x) 3.0)
41.0ms	(/ (- 1.0 x) y)
51.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify2.7s

Counts

153 → 153

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	208	38798
1	588	36242
2	1859	35195
done	5000	35035

prune711.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.0b	(/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0)))
0.1b	(* (/ (- 1.0 x) y) (/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
0.2b	(/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
167×	`add-sqr-sqrt`
134×	`*-un-lft-identity`
90×	`add-cube-cbrt`
61×	`cbrt-prod`
58×	`associate-r`
52×	`add-exp-log`
35×	`add-cbrt-cube`
22×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
19×	`associate-l` `associate-/l*`
18×	`div-inv`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*` `unswap-sqr`
6×	`pow1`
5×	`associate-/l/`
4×	`expm1-log1p-u` `div-sub` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`flip3--` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 276

Calls

4 calls:

13.0ms	(/ (- 1.0 x) y)
33.0ms	(/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0)))
118.0ms	(* (/ (- 1.0 x) y) (/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
23.0ms	(/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series546.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (- 1.0 x) y)
187.0ms	(/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0)))
147.0ms	(* (/ (- 1.0 x) y) (/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
169.0ms	(/ (/ (- 3.0 x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify4.2s

Counts

288 → 288

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	365	121404
1	1141	114566
2	4146	112263
done	5002	99863

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

9.0ms	(- 1.0 (* 0.3333333333333333 x))
13.0ms	(/ (- 1.0 x) y)
45.0ms	(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 1.0 (* 0.3333333333333333 x))
36.0ms	(/ (- 1.0 x) y)
90.0ms	(* (/ (- 1.0 x) y) (- 1.0 (* 0.3333333333333333 x)))

simplify2.6s

Counts

123 → 123

Iterations

Useful iterations: 2 (537.0ms)

Iter	Nodes	Cost
0	171	33264
1	455	31088
2	1526	29733
done	5000	29733

prune627.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	364
1	13	364
done	13	364

end0.0ms

sample894.0ms

Algorithm

intervals

Results

628.0ms

10717×

body

valid