Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

299×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	16	7
2	22	7
3	33	7
4	38	7
5	44	7
6	48	7
7	114	7
8	254	7
9	587	7
10	1391	7
11	3130	7
done	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
10.2b	(/ (* x (+ y z)) z)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r/` `associate-r*`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

27.0ms	(* x (+ y z))
22.0ms	(/ (* x (+ y z)) z)

series96.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* x (+ y z))
49.0ms	(/ (* x (+ y z)) z)

simplify1.3s

Counts

52 → 52

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	85	458
1	244	434
2	1285	382
done	5000	376

prune142.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x y) z) x)
4.3b	(/ (* x y) z)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

28.0ms	(+ (/ (* x y) z) x)
19.0ms	(/ (* x y) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (/ (* x y) z) x)
23.0ms	(/ (* x y) z)

simplify859.0ms

Counts

39 → 39

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	67	359
1	183	337
2	916	305
done	5001	301

prune95.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 (/ z (* x y))) x)
0.2b	(/ 1 (/ z (* x y)))
4.3b	(/ z (* x y))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
29×	`add-exp-log`
24×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-inv`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`pow1` `prod-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

3 → 90

Calls

3 calls:

70.0ms	(+ (/ 1 (/ z (* x y))) x)
29.0ms	(/ 1 (/ z (* x y)))
18.0ms	(/ z (* x y))

series106.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (/ 1 (/ z (* x y))) x)
31.0ms	(/ 1 (/ z (* x y)))
32.0ms	(/ z (* x y))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: 2 (306.0ms)

Iter	Nodes	Cost
0	138	1086
1	361	934
2	1823	864
done	5001	864

prune153.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 1 z) (* x y)) x)
4.4b	(* (/ 1 z) (* x y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-l`
12×	`prod-exp`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`pow1`
6×	`cbrt-unprod`
4×	`div-exp` `add-log-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`+-commutative` `flip3-+` `associate-r` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 48

Calls

2 calls:

26.0ms	(+ (* (/ 1 z) (* x y)) x)
27.0ms	(* (/ 1 z) (* x y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (/ 1 z) (* x y)) x)
25.0ms	(* (/ 1 z) (* x y))

simplify1.9s

Counts

54 → 54

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	98	594
1	283	545
2	1743	383
done	5001	383

prune87.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

61.2% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 5.0b

bsearch57.0ms

Steps

Iters	Range		Point
5	1.1849282749638217e-33	4.0449486881094576e-33	3.0078530782066012e-33
10	-6.54841490127569e-119	-2.501928068172522e-134	-4.483651780214682e-120

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	29
1	21	23
done	21	23

end0.0ms

sample761.0ms

Algorithm

intervals

Results

331.0ms

9557×

body

valid