Details

sample32.0ms

Algorithm

intervals

Results

14.0ms	323×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	4×	body	160	valid

simplify13.2s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize10.0ms

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)
0.7b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite137.0ms

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:

19.0ms	(- (/ 2.0 3.0) z)
17.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
22.0ms	(* (- y x) 6.0)
76.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series216.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ 2.0 3.0) z)
94.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
41.0ms	(* (- y x) 6.0)
53.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.0s

Counts

97 → 97

Iterations

Useful iterations: done (1.0s)

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

prune235.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite202.0ms

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:

19.0ms	(- (/ 2.0 3.0) z)
64.0ms	(* (- (/ 2.0 3.0) z) 6.0)
20.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
97.0ms	(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series195.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ 2.0 3.0) z)
50.0ms	(* (- (/ 2.0 3.0) z) 6.0)
70.0ms	(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
48.0ms	(* (- 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

prune210.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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

rewrite192.0ms

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:

19.0ms	(- (/ 2.0 3.0) z)
12.0ms	(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
69.0ms	(* (- y x) (- (/ 2.0 3.0) z))
89.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)

series184.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
68.0ms	(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
42.0ms	(* (- y x) (- (/ 2.0 3.0) z))
49.0ms	(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)

simplify800.0ms

Counts

99 → 99

Iterations

Useful iterations: done (797.0ms)

Iter	Nodes	Cost
0	162	1489
1	439	1433
2	1680	1293
done	5002	1287

prune259.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

32.0ms	(* (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))) (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))))
3.0ms	(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
3.0ms	(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
3.0ms	(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))

series3.3s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))) (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))))
641.0ms	(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
935.0ms	(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
548.0ms	(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))

simplify3.1s

Counts

99 → 99

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	196	3906
1	462	3627
2	1291	3404
3	4798	2891
done	5000	2857

prune543.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

888.0ms	9294×	body	80	valid
71.0ms	276×	body	640	valid
49.0ms	160×	body	1280	valid
38.0ms	209×	body	320	valid
19.0ms	129×	body	160	valid