Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	283×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	8×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	2×	body	160	valid

simplify10.0s

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite214.0ms

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:

30.0ms	(- (/ 2.0 3.0) z)
21.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
38.0ms	(* (- y x) 6.0)
120.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series187.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
63.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
30.0ms	(* (- y x) 6.0)
72.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify977.0ms

Counts

97 → 97

Iterations

Useful iterations: done (974.0ms)

Iter	Nodes	Cost
0	156	1335
1	434	1273
2	1795	1163
done	5002	1157

prune195.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

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:

17.0ms	(- (/ 2.0 3.0) z)
16.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
55.0ms	(* (- (/ 2.0 3.0) z) 6.0)
86.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series180.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
74.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
40.0ms	(* (- (/ 2.0 3.0) z) 6.0)
45.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify631.0ms

Counts

89 → 89

Iterations

Useful iterations: done (628.0ms)

Iter	Nodes	Cost
0	148	1272
1	396	1220
2	1480	1102
done	5002	1096

prune190.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

21.0ms	(* (- y x) 6.0)
21.0ms	(* (- y x) 6.0)
38.0ms	(* (* (- y x) 6.0) (- z))
38.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

series130.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- y x) 6.0)
34.0ms	(* (- y x) 6.0)
34.0ms	(* (* (- y x) 6.0) (- z))
31.0ms	(* (* (- y x) 6.0) (/ 2.0 3.0))

simplify1.1s

Counts

121 → 121

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	169	1241
1	455	1173
2	2073	997
done	5001	982

prune265.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z)) (cbrt (- z)))
0.6b	(cbrt (- z))
0.6b	(cbrt (- z))
0.6b	(cbrt (- z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
37×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
23×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
7×	`neg-mul-1`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

21.0ms	(* (cbrt (- z)) (cbrt (- z)))
2.0ms	(cbrt (- z))
2.0ms	(cbrt (- z))
2.0ms	(cbrt (- z))

series819.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (cbrt (- z)) (cbrt (- z)))
194.0ms	(cbrt (- z))
207.0ms	(cbrt (- z))
195.0ms	(cbrt (- z))

simplify1.4s

Counts

129 → 129

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	91	1056
1	151	957
2	401	885
3	852	840
4	2398	795
done	5000	780

prune363.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	21	20
2	25	20
3	32	20
done	32	20

end0.0ms

sample603.0ms

Algorithm

intervals

Results

251.0ms	9292×	body	80	valid
29.0ms	282×	body	640	valid
18.0ms	152×	body	1280	valid
13.0ms	187×	body	320	valid
7.0ms	128×	body	160	valid