Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	230×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	8×	body	1280	valid
1.0ms	4×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify4.6s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:

16.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(+ 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

prune74.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 12

Calls

1 calls:

8.0ms

(- (* 1.5 x) (* 0.5 y))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(- (* 1.5 x) (* 0.5 y))

simplify1.5s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	2527
3	884
2	274
1	88
0	29

prune59.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

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:

140.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
23.0ms	(cbrt (+ x (/ (- x y) 2.0)))
18.0ms	(cbrt (+ x (/ (- x y) 2.0)))
17.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.0s

Counts

4 → 12

Calls

4 calls:

500.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
482.0ms	(cbrt (+ x (/ (- x y) 2.0)))
491.0ms	(cbrt (+ x (/ (- x y) 2.0)))
523.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	888
1	285
0	129

prune476.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
20×	`cbrt-prod`
14×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `associate-r/`

Counts

4 → 62

Calls

4 calls:

24.0ms	(cbrt (+ x (/ (- x y) 2.0)))
26.0ms	(cbrt (+ x (/ (- x y) 2.0)))
22.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
62.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

series2.0s

Counts

4 → 12

Calls

4 calls:

514.0ms	(cbrt (+ x (/ (- x y) 2.0)))
512.0ms	(cbrt (+ x (/ (- x y) 2.0)))
486.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
521.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

simplify1.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	1603
2	621
1	286
0	153

prune426.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample473.0ms

Algorithm

intervals

Results

254.0ms	7364×	body	80	valid
24.0ms	222×	body	1280	valid
13.0ms	156×	body	640	valid
12.0ms	94×	body	2560	valid
8.0ms	110×	body	320	valid
3.0ms	55×	body	160	valid