Details

sample29.0ms

Algorithm

intervals

Results

11.0ms	241×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	3×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	640	valid

simplify246.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:

42.0ms

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

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify2.3s

Counts

16 → 16

Iterations

Useful iterations: 2 (42.0ms)

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

prune43.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `flip3-+` `times-frac` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

167.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify1.4s

Counts

23 → 23

Iterations

Useful iterations: 3 (424.0ms)

Iter	Nodes	Cost
0	66	371
1	162	356
2	472	338
3	1663	330
done	5000	330

prune60.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
0.5b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.5b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.5b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

rewrite637.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
65×	`cbrt-prod`
58×	`add-sqr-sqrt`
52×	`cbrt-div`
26×	`frac-sub`
22×	`distribute-lft-out--`
16×	`frac-times` `swap-sqr`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1` `distribute-lft-out`
10×	`associate-r` `associate-l`
9×	`pow1/3`
7×	`times-frac`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

452.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
63.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
48.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
58.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

series2.9s

Counts

4 → 12

Calls

4 calls:

985.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
679.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
635.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
623.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

simplify1.8s

Counts

151 → 151

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	201	4468
1	380	4163
2	994	4017
3	2600	3626
done	5001	3570

prune633.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x (/ x 2.0)) (/ y 2.0))
0.1b	(sqrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.1b	(sqrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.3b	(* (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))) (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))))

rewrite804.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
60×	`sqrt-prod`
48×	`sqrt-div`
26×	`frac-sub`
22×	`distribute-lft-out--`
21×	`pow1`
18×	`swap-sqr`
16×	`frac-times`
14×	`add-cube-cbrt` `difference-of-squares`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`distribute-lft-out`
10×	`sqrt-pow1` `pow1/2` `associate-r` `associate-l`
9×	`add-log-exp`
7×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`associate-r/` `associate-l/` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `diff-log`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `prod-exp` `associate--l+` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

111.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))
88.0ms	(sqrt (- (+ x (/ x 2.0)) (/ y 2.0)))
124.0ms	(sqrt (- (+ x (/ x 2.0)) (/ y 2.0)))
462.0ms	(* (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))) (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))
140.0ms	(sqrt (- (+ x (/ x 2.0)) (/ y 2.0)))
117.0ms	(sqrt (- (+ x (/ x 2.0)) (/ y 2.0)))
45.0ms	(* (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))) (sqrt (- (+ x (/ x 2.0)) (/ y 2.0))))

simplify2.0s

Counts

165 → 165

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	190	4579
1	348	3468
2	973	3336
3	3205	3173
done	5000	3139

prune440.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes79.0ms

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	7	9
1	8	9
done	8	9

end0.0ms

sample715.0ms

Algorithm

intervals

Results

367.0ms	7390×	body	80	valid
31.0ms	219×	body	1280	valid
20.0ms	150×	body	640	valid
16.0ms	91×	body	2560	valid
9.0ms	98×	body	320	valid
3.0ms	52×	body	160	valid