Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	234×	body	80	valid
1.0ms	10×	body	640	valid
0.0ms	7×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify124.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	45	7
6	49	7
7	58	7
8	74	7
9	90	7
10	101	7
11	103	7
12	107	7
13	108	7
done	108	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

20.0ms

(+ x (/ (- x y) 2.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(+ x (/ (- x y) 2.0))

simplify1.4s

Counts

16 → 16

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	244	157
3	682	157
4	3238	157
done	5002	157

prune32.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- y x) 2.0) x)
0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
12.1b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
28.6b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (+ (/ (- y x) 2.0) x))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
92×	`times-frac`
90×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
25×	`swap-sqr`
19×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
11×	`pow1`
8×	`add-log-exp`
6×	`distribute-lft-out`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`flip3--` `flip3-+` `div-sub` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `pow2` `frac-times` `associate-+l-` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 158

Calls

4 calls:

38.0ms	(+ (/ (- y x) 2.0) x)
53.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
8.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
72.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (+ (/ (- y x) 2.0) x))

series211.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (/ (- y x) 2.0) x)
25.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
36.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
114.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (+ (/ (- y x) 2.0) x))

simplify1.4s

Counts

170 → 170

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	244	3710
1	716	3457
2	2627	3107
done	5001	2822

prune379.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))
0.0b	(sqrt (+ x (/ (- x y) 2.0)))
0.0b	(sqrt (+ x (/ (- x y) 2.0)))
0.2b	(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r-` `pow-plus` `sqrt-unprod` `div-sub` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

21.0ms	(+ x (/ (- x y) 2.0))
36.0ms	(sqrt (+ x (/ (- x y) 2.0)))
36.0ms	(sqrt (+ x (/ (- x y) 2.0)))
163.0ms	(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (/ (- x y) 2.0))
87.0ms	(sqrt (+ x (/ (- x y) 2.0)))
89.0ms	(sqrt (+ x (/ (- x y) 2.0)))
39.0ms	(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

simplify1.0s

Counts

119 → 119

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	114	2202
1	232	1538
2	631	1434
3	1854	1375
done	5000	1349

prune190.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))
0.1b	(pow (+ x (/ (- x y) 2.0)) 3)
38.3b	(cbrt (pow (+ x (/ (- x y) 2.0)) 3))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
5×	`distribute-lft-out` `add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `pow-pow` `pow1/3` `div-sub` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 65

Calls

3 calls:

21.0ms	(+ x (/ (- x y) 2.0))
40.0ms	(pow (+ x (/ (- x y) 2.0)) 3)
40.0ms	(cbrt (pow (+ x (/ (- x y) 2.0)) 3))

series130.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ (- x y) 2.0))
50.0ms	(pow (+ x (/ (- x y) 2.0)) 3)
42.0ms	(cbrt (pow (+ x (/ (- x y) 2.0)) 3))

simplify614.0ms

Counts

74 → 74

Iterations

Useful iterations: done (612.0ms)

Iter	Nodes	Cost
0	97	1158
1	246	951
2	806	869
done	5000	863

prune110.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample328.0ms

Algorithm

intervals

Results

127.0ms	7399×	body	80	valid
15.0ms	225×	body	1280	valid
8.0ms	155×	body	640	valid
8.0ms	100×	body	2560	valid
3.0ms	71×	body	320	valid
2.0ms	53×	body	160	valid