Details

sample36.0ms

Algorithm

intervals

Results

12.0ms

307×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1017
3	146
2	42
1	16
0	8

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 1 expressions with local error:

4.9b	(/ (* x y) z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

8.0ms

(/ (* x y) z)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(/ (* x y) z)

simplify815.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
2	627
1	120
0	50

prune130.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

5.0b	(* (* x y) (/ 1 z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`expm1-log1p-u` `associate-l` `associate-r/` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

27.0ms

(* (* x y) (/ 1 z))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (* x y) (/ 1 z))

simplify1.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	1657
1	251
0	85

prune204.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (/ z (* x y)))
4.9b	(/ z (* x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
28×	`add-exp-log`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`prod-exp`
3×	`pow1` `rec-exp` `1-exp`
2×	`expm1-log1p-u` `clear-num` `frac-2neg` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 81

Calls

2 calls:

21.0ms	(/ 1 (/ z (* x y)))
10.0ms	(/ z (* x y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1 (/ z (* x y)))
24.0ms	(/ z (* x y))

simplify958.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1416
1	295
0	122

prune393.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (* x y))
5.3b	(/ (/ 1 z) (/ 1 (* x y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

208×	`times-frac`
96×	`add-exp-log`
88×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
62×	`div-exp`
28×	`add-cbrt-cube`
24×	`div-inv`
17×	`rec-exp` `1-exp`
16×	`associate-/l*`
15×	`cbrt-undiv` `prod-exp`
8×	`associate-/r*`
5×	`pow1`
3×	`cbrt-unprod`
2×	`expm1-log1p-u` `clear-num` `frac-2neg` `log1p-expm1-u` `pow-flip` `add-log-exp`
1×	`pow-prod-down` `associate-/r/` `inv-pow` `associate-/l/`

Counts

2 → 189

Calls

2 calls:

10.0ms	(/ 1 (* x y))
19.0ms	(/ (/ 1 z) (/ 1 (* x y)))

series54.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ 1 (* x y))
38.0ms	(/ (/ 1 z) (/ 1 (* x y)))

simplify2.2s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	4682
1	894
0	282

prune700.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes458.0ms

Accuracy

89% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 6.0b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

451.0ms

9616×

body

valid