Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

292×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	20	7
3	27	7
4	35	7
5	110	7
6	327	7
7	1193	7
8	4693	7
done	5002	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

47.0ms	(+ (+ (* x y) x) y)
14.0ms	(+ (* x y) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (+ (* x y) x) y)
56.0ms	(+ (* x y) x)

simplify2.4s

Counts

31 → 31

Iterations

Useful iterations: 3 (777.0ms)

Iter	Nodes	Cost
0	49	310
1	145	292
2	592	274
3	3349	270
done	5001	270

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.7b	(cbrt (+ (* x y) x))
0.7b	(cbrt (+ (* x y) x))
0.7b	(cbrt (+ (* x y) x))

rewrite117.0ms

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:

79.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
11.0ms	(cbrt (+ (* x y) x))
12.0ms	(cbrt (+ (* x y) x))
12.0ms	(cbrt (+ (* x y) x))

series356.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
74.0ms	(cbrt (+ (* x y) x))
91.0ms	(cbrt (+ (* x y) x))
85.0ms	(cbrt (+ (* x y) x))

simplify712.0ms

Counts

99 → 99

Iterations

Useful iterations: done (707.0ms)

Iter	Nodes	Cost
0	143	1916
1	372	1770
2	1429	1628
done	5000	1544

prune396.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) x)
0.1b	(* y (* x y))
2.4b	(* x (- (* y (* x y)) x))
23.9b	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `associate-r/` `associate-r*` `pow-prod-down` `flip--`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r/` `*-commutative` `associate-/l/`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

11.0ms	(- (* x y) x)
17.0ms	(* y (* x y))
72.0ms	(* x (- (* y (* x y)) x))
56.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

series360.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* x y) x)
19.0ms	(* y (* x y))
118.0ms	(* x (- (* y (* x y)) x))
186.0ms	(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

simplify1.6s

Counts

91 → 91

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	129	1169
1	363	1128
2	2097	986
done	5000	984

prune275.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
done	8	7

end0.0ms

sample787.0ms

Algorithm

intervals

Results

361.0ms	9178×	body	80	valid
0.0ms	1×	body	640	valid