Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

353×

body

valid

simplify92.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	13	7
2	32	7
3	66	7
4	90	7
5	96	7
done	96	7

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x (- x y)) 2.0)
0.0b	(* x (- x y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

50.0ms	(* (* x (- x y)) 2.0)
32.0ms	(* x (- x y))

series113.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (* x (- x y)) 2.0)
53.0ms	(* x (- x y))

simplify2.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	77	462
1	188	442
2	598	372
3	2548	372
done	5000	372

prune112.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (* (- x y) 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `associate-*l/`
1×	`flip3--` `associate-r` `*-commutative` `flip--` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

42.0ms

(* x (* (- x y) 2.0))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(* x (* (- x y) 2.0))

simplify1.9s

Counts

23 → 23

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	52	242
1	139	229
2	495	185
3	2310	185
done	5002	185

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (* x x) (- (* x y))) 2.0)
0.0b	(+ (* x x) (- (* x y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
3×	`associate-r`
2×	`distribute-rgt-neg-in` `flip3-+` `associate-*l/` `sum-log` `flip-+` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+r-` `unsub-neg` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

55.0ms	(* (+ (* x x) (- (* x y))) 2.0)
17.0ms	(+ (* x x) (- (* x y)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* (+ (* x x) (- (* x y))) 2.0)
49.0ms	(+ (* x x) (- (* x y)))

simplify3.5s

Counts

43 → 43

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	67	531
1	173	471
2	706	329
3	3061	326
done	5000	326

prune71.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- x y))
0.2b	(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
6.8b	(sqrt (* x (- x y)))
6.8b	(sqrt (* x (- x y)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

31.0ms	(* x (- x y))
64.0ms	(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
8.0ms	(sqrt (* x (- x y)))
7.0ms	(sqrt (* x (- x y)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (- x y))
44.0ms	(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
65.0ms	(sqrt (* x (- x y)))
74.0ms	(sqrt (* x (- x y)))

simplify2.0s

Counts

121 → 121

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	120	1349
1	235	1007
2	643	923
3	2265	883
done	5000	877

prune228.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample826.0ms

Algorithm

intervals

Results

457.0ms

11091×

body

valid