Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	233×	body	80	valid
2.0ms	9×	body	1280	valid
1.0ms	4×	body	2560	valid
1.0ms	5×	body	640	valid
0.0ms	5×	body	160	valid

simplify7.2s

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	94	7
6	206	7
7	486	7
8	1272	7
9	4324	7
done	5000	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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:

41.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify3.2s

Counts

16 → 16

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	250	157
3	791	157
4	3874	157
done	5001	157

prune108.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite186.0ms

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:

184.0ms

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

series76.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify1.3s

Counts

23 → 23

Iterations

Useful iterations: 3 (472.0ms)

Iter	Nodes	Cost
0	66	371
1	162	356
2	486	338
3	1873	330
done	5002	330

prune118.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

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))))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

rewrite892.0ms

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:

629.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
83.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
87.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
79.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

series2.7s

Counts

4 → 12

Calls

4 calls:

680.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
727.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
663.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
677.0ms	(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	406	4163
2	1267	4017
done	5001	3690

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-div`
8×	`add-cube-cbrt` `frac-sub` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `flip3--` `flip3-+` `times-frac` `pow1/3` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 76

Calls

4 calls:

81.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
84.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
78.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
91.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

series2.9s

Counts

4 → 12

Calls

4 calls:

696.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
703.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
735.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
732.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

simplify1.3s

Counts

88 → 88

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	104	1808
1	228	1744
2	595	1660
3	1975	1600
done	5001	1552

prune712.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample932.0ms

Algorithm

intervals

Results

472.0ms	7384×	body	80	valid
45.0ms	237×	body	1280	valid
23.0ms	98×	body	2560	valid
22.0ms	140×	body	640	valid
10.0ms	91×	body	320	valid
5.0ms	57×	body	160	valid