Details

sample53.0ms

Algorithm

intervals

Results

25.0ms	327×	body	80	valid
3.0ms	9×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify13.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	48	13
3	160	13
4	421	13
5	914	13
6	1612	13
7	2564	13
8	3650	13
9	4633	13
10	4967	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
21.0ms	(* (- y x) 6.0)
15.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
102.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series203.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ 2.0 3.0) z)
33.0ms	(* (- y x) 6.0)
93.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
51.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.1s

Counts

97 → 97

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	156	1335
1	434	1273
2	1795	1163
done	5001	1157

prune275.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- (/ 2.0 3.0) z) 6.0)
0.0b	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
0.1b	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
10×	`associate-*l/`
8×	`flip3--` `flip--` `add-log-exp`
7×	`add-cube-cbrt`
5×	`difference-of-squares`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

26.0ms	(- (/ 2.0 3.0) z)
85.0ms	(* (- (/ 2.0 3.0) z) 6.0)
24.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
127.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series218.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
42.0ms	(* (- (/ 2.0 3.0) z) 6.0)
91.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
62.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify738.0ms

Counts

89 → 89

Iterations

Useful iterations: done (734.0ms)

Iter	Nodes	Cost
0	148	1272
1	396	1220
2	1480	1102
done	5000	1096

prune263.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.0b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.1b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`flip3--` `*-un-lft-identity` `flip--` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-l` `add-cbrt-cube`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in`
3×	`associate-r`
2×	`associate-r/` `associate-l/`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

8.0ms	(- 4.0 (* 6.0 z))
12.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
35.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- 4.0 (* 6.0 z))
80.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
69.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify786.0ms

Counts

68 → 68

Iterations

Useful iterations: done (783.0ms)

Iter	Nodes	Cost
0	115	969
1	316	920
2	1210	860
done	5001	850

prune201.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (- z)))
0.2b	(* (* (- y x) 6.0) (- z))
0.3b	(* (* (- y x) 6.0) (/ 2.0 3.0))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `associate-*l/`
18×	`*-un-lft-identity`
16×	`pow1` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac` `add-log-exp`
7×	`associate-l` `pow-prod-down`
6×	`flip3--` `flip--`
4×	`frac-add`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `sum-log` `*-commutative` `distribute-rgt-neg-out` `flip-+`
2×	`cbrt-undiv` `frac-times` `div-exp`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `associate-*r/` `unsub-neg` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

22.0ms	(* (- y x) 6.0)
32.0ms	(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (- z)))
43.0ms	(* (* (- y x) 6.0) (- z))
41.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series172.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (- y x) 6.0)
67.0ms	(+ (+ x (* (* (- y x) 6.0) (/ 2.0 3.0))) (* (* (- y x) 6.0) (- z)))
38.0ms	(* (* (- y x) 6.0) (- z))
32.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify1.8s

Counts

118 → 118

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	220	1893
1	663	1658
2	3046	1474
done	5000	1469

prune334.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

972.0ms	9399×	body	80	valid
77.0ms	281×	body	640	valid
68.0ms	141×	body	1280	valid
26.0ms	178×	body	320	valid
12.0ms	114×	body	160	valid