Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4327
8	1259
7	477
6	204
5	93
4	40
3	29
2	19
1	12
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

20.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.8s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	3912
3	803
2	250
1	92
0	34

prune88.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

15.0ms	(+ (/ x 2.0) x)
94.0ms	(- (+ (/ x 2.0) x) (/ y 2.0))

series80.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (/ x 2.0) x)
51.0ms	(- (+ (/ x 2.0) x) (/ y 2.0))

simplify680.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5002
3	1958
2	519
1	171
0	70

prune191.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

71.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
10.0ms	(cbrt (+ x (/ x 2.0)))
7.0ms	(cbrt (+ x (/ x 2.0)))
9.0ms	(cbrt (+ x (/ x 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
242.0ms	(cbrt (+ x (/ x 2.0)))
283.0ms	(cbrt (+ x (/ x 2.0)))
292.0ms	(cbrt (+ x (/ x 2.0)))

simplify2.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
3	4473
2	787
1	206
0	90

prune597.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
11.8b	(- (pow x 2) (* (/ x 2.0) (/ x 2.0)))
28.4b	(cbrt (- (pow x 2) (* (/ x 2.0) (/ x 2.0))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`difference-of-squares`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`unpow-prod-down` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `unpow2` `sqr-pow`
1×	`sub-neg` `diff-log`

Counts

4 → 61

Calls

4 calls:

12.0ms	(cbrt (+ x (/ x 2.0)))
11.0ms	(cbrt (+ x (/ x 2.0)))
19.0ms	(- (pow x 2) (* (/ x 2.0) (/ x 2.0)))
11.0ms	(cbrt (- (pow x 2) (* (/ x 2.0) (/ x 2.0))))

series852.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt (+ x (/ x 2.0)))
285.0ms	(cbrt (+ x (/ x 2.0)))
35.0ms	(- (pow x 2) (* (/ x 2.0) (/ x 2.0)))
292.0ms	(cbrt (- (pow x 2) (* (/ x 2.0) (/ x 2.0))))

simplify1.9s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	3980
2	651
1	199
0	101

prune464.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

619.0ms	7322×	body	80	valid
33.0ms	235×	body	1280	valid
20.0ms	123×	body	2560	valid
18.0ms	160×	body	640	valid
10.0ms	111×	body	320	valid
3.0ms	50×	body	160	valid