Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	297×	body	80	valid
1.0ms	8×	body	320	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	160	valid

simplify7.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	47	13
3	124	13
4	284	13
5	641	13
6	1189	13
7	2105	13
8	3344	13
9	4742	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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))

rewrite67.0ms

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:

11.0ms	(- (/ 2.0 3.0) z)
10.0ms	(* (- y x) 6.0)
6.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
37.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series165.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
30.0ms	(* (- y x) 6.0)
67.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
48.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify727.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	156	1335
1	434	1273
2	1788	1163
done	5000	1163

prune208.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))

rewrite110.0ms

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:

11.0ms	(- (/ 2.0 3.0) z)
8.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
38.0ms	(* (- (/ 2.0 3.0) z) 6.0)
50.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series170.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
66.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
38.0ms	(* (- (/ 2.0 3.0) z) 6.0)
46.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify522.0ms

Counts

89 → 89

Iterations

Useful iterations: done (516.0ms)

Iter	Nodes	Cost
0	148	1272
1	397	1220
2	1426	1102
done	5000	1086

prune203.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

11.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
48.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
41.0ms	(* (- y x) (- (/ 2.0 3.0) z))

series171.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
63.0ms	(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
48.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
38.0ms	(* (- y x) (- (/ 2.0 3.0) z))

simplify671.0ms

Counts

99 → 99

Iterations

Useful iterations: done (668.0ms)

Iter	Nodes	Cost
0	162	1489
1	440	1433
2	1645	1293
done	5001	1285

prune222.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)) (cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
0.6b	(cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
0.6b	(cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
0.6b	(cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

218×	`associate-*l/`
168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-*r/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

42.0ms	(* (cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)) (cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
41.0ms	(cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
43.0ms	(cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
42.0ms	(cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))

series2.2s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)) (cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
394.0ms	(cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
396.0ms	(cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
397.0ms	(cbrt (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))

simplify617.0ms

Counts

174 → 174

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	355	7744
1	684	7356
2	2017	7162
done	5000	7162

prune664.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
done	15	13

end0.0ms

sample546.0ms

Algorithm

intervals

Results

264.0ms	9377×	body	80	valid
31.0ms	274×	body	640	valid
24.0ms	141×	body	1280	valid
17.0ms	220×	body	320	valid
6.0ms	123×	body	160	valid