Details

sample57.0ms

Algorithm

intervals

Results

21.0ms	287×	body	80	valid
2.0ms	7×	body	640	valid
1.0ms	4×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1693
4	517
3	160
2	48
1	21
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

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))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
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` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

19.0ms	(- (/ 2.0 3.0) z)
24.0ms	(* (- y x) 6.0)
11.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
57.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series230.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ 2.0 3.0) z)
51.0ms	(* (- y x) 6.0)
96.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
53.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	2299
1	450
0	156

prune548.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-l`
26×	`add-sqr-sqrt`
25×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
11×	`associate-*l/` `prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`associate-r` `pow-prod-down`
5×	`flip3--` `flip--`
4×	`associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-times` `cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `div-inv`

Counts

4 → 109

Calls

4 calls:

17.0ms	(* (- y x) 6.0)
18.0ms	(* (- y x) 6.0)
38.0ms	(* (- z) (* (- y x) 6.0))
34.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series199.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- y x) 6.0)
41.0ms	(* (- y x) 6.0)
78.0ms	(* (- z) (* (- y x) 6.0))
35.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify1.6s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	1980
1	450
0	158

prune664.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- z) (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)))
0.3b	(* (/ 2.0 3.0) (* (- y x) 6.0))
0.5b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-cbrt-cube` `add-exp-log`
29×	`associate-l`
25×	`add-sqr-sqrt` `pow1`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
16×	`prod-exp` `cbrt-unprod`
15×	`associate-*l/`
14×	`associate-r`
13×	`pow-prod-down`
9×	`times-frac`
7×	`sqrt-prod`
5×	`flip3--` `flip--`
4×	`associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-times` `cbrt-undiv` `div-exp` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

113.0ms	(* (- z) (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)))
44.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))
20.0ms	(* (- y x) (sqrt 6.0))
48.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series448.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (- z) (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)))
35.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))
63.0ms	(* (- y x) (sqrt 6.0))
113.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify2.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	3110
1	584
0	201

prune649.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 4.0 y) (* 6.0 (* x z)))
0.0b	(- (+ (* 4.0 y) (* 6.0 (* x z))) (* 3.0 x))
0.2b	(* 6.0 (* x z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sum-log` `diff-log`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip-+` `flip--`

Counts

3 → 43

Calls

3 calls:

7.0ms	(+ (* 4.0 y) (* 6.0 (* x z)))
35.0ms	(- (+ (* 4.0 y) (* 6.0 (* x z))) (* 3.0 x))
13.0ms	(* 6.0 (* x z))

series138.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* 4.0 y) (* 6.0 (* x z)))
55.0ms	(- (+ (* 4.0 y) (* 6.0 (* x z))) (* 3.0 x))
22.0ms	(* 6.0 (* x z))

simplify2.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	4268
2	894
1	235
0	82

prune188.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes426.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	32
3	32
2	25
1	21
0	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

966.0ms	9450×	body	80	valid
47.0ms	264×	body	640	valid
32.0ms	140×	body	1280	valid
24.0ms	187×	body	320	valid
9.0ms	102×	body	160	valid