Details

sample61.0ms

Algorithm

intervals

Results

31.0ms

335×

body

valid

simplify739.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	20	9
2	41	9
3	57	9
4	76	9
5	110	9
6	166	9
7	220	9
8	319	9
9	423	9
10	479	9
11	500	9
12	510	9
done	510	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (+ x y) z) (* t 2.0))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

117.0ms

(/ (- (+ x y) z) (* t 2.0))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify2.1s

Counts

33 → 33

Iterations

Useful iterations: 3 (700.0ms)

Iter	Nodes	Cost
0	78	418
1	201	411
2	703	355
3	3190	353
done	5000	353

prune137.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
0.2b	(/ (+ x y) (* t 2.0))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

111.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
31.0ms	(/ (+ x y) (* t 2.0))

series109.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
50.0ms	(/ (+ x y) (* t 2.0))

simplify2.4s

Counts

50 → 50

Iterations

Useful iterations: 3 (996.0ms)

Iter	Nodes	Cost
0	100	707
1	267	669
2	844	605
3	3250	601
done	5000	601

prune211.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (+ x y) z) t)
0.2b	(/ (/ (- (+ x y) z) t) 2.0)

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity` `times-frac`
108×	`add-sqr-sqrt`
76×	`add-cube-cbrt`
32×	`distribute-lft-out--`
28×	`associate-/l*`
16×	`distribute-lft-out` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 149

Calls

2 calls:

107.0ms	(/ (- (+ x y) z) t)
78.0ms	(/ (/ (- (+ x y) z) t) 2.0)

series116.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- (+ x y) z) t)
66.0ms	(/ (/ (- (+ x y) z) t) 2.0)

simplify2.1s

Counts

155 → 155

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	215	2539
1	507	2435
2	1401	2349
3	4064	2347
done	5000	2347

prune459.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (* t 2.0))
0.3b	(* (/ 1 (* t 2.0)) (- (+ x y) z))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
8×	`div-exp`
7×	`pow1` `add-cube-cbrt` `associate-l`
6×	`times-frac` `associate-r`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
2×	`frac-times` `sub-neg` `flip3--` `pow-flip` `associate-*r/` `pow-prod-down` `associate--l+` `flip--` `div-inv` `distribute-lft-out--` `add-log-exp`
1×	`frac-2neg` `associate-l/` `clear-num` `associate-/r` `*-commutative` `distribute-lft-out` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

2 → 72

Calls

2 calls:

12.0ms	(/ 1 (* t 2.0))
143.0ms	(* (/ 1 (* t 2.0)) (- (+ x y) z))

series109.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ 1 (* t 2.0))
90.0ms	(* (/ 1 (* t 2.0)) (- (+ x y) z))

simplify1.0s

Counts

78 → 78

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	131	947
1	349	815
2	1392	679
done	5000	671

prune116.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes207.0ms

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	10	13
1	12	13
done	12	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

586.0ms

10888×

body

valid