Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

351×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.4b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite85.0ms

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:

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

series86.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- 1.0 x) (- 3.0 x))
61.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5002
2	2772
1	540
0	188

prune270.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite94.0ms

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:

13.0ms	(/ (- 1.0 x) y)
22.0ms	(/ (- 3.0 x) 3.0)
54.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series183.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- 1.0 x) y)
56.0ms	(/ (- 3.0 x) 3.0)
72.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.4s

Counts

153 → 153

Iterations

Iter	Nodes
done	5002
2	1852
1	588
0	208

prune611.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

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×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 320

Calls

4 calls:

9.0ms	(/ y (- 1.0 x))
13.0ms	(/ (- 3.0 x) 3.0)
29.0ms	(/ 1 (/ y (- 1.0 x)))
86.0ms	(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

series234.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ y (- 1.0 x))
53.0ms	(/ (- 3.0 x) 3.0)
30.0ms	(/ 1 (/ y (- 1.0 x)))
99.0ms	(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

simplify2.3s

Counts

332 → 332

Iterations

Iter	Nodes
done	5004
2	4165
1	1241
0	413

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.2b	(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
0.3b	(* (/ (- 1.0 x) y) (- 3.0 x))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
37×	`add-cube-cbrt`
34×	`times-frac`
19×	`add-cbrt-cube` `associate-l` `add-exp-log`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-/l/`
6×	`cbrt-undiv` `associate-/r` `div-exp` `associate-/l`
5×	`pow1` `flip3--` `associate-r` `flip--`
4×	`frac-times` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative`

Counts

3 → 138

Calls

3 calls:

27.0ms	(/ (- 1.0 x) y)
45.0ms	(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
75.0ms	(* (/ (- 1.0 x) y) (- 3.0 x))

series212.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- 1.0 x) y)
84.0ms	(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
76.0ms	(* (/ (- 1.0 x) y) (- 3.0 x))

simplify2.2s

Counts

147 → 147

Iterations

Iter	Nodes
done	5021
2	2233
1	678
0	241

prune629.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample895.0ms

Algorithm

intervals

Results

635.0ms

10735×

body

valid