Details

sample29.0ms

Algorithm

intervals

Results

11.0ms	236×	body	80	valid
2.0ms	10×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	3×	body	160	valid

simplify289.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	249
6	249
5	248
4	240
3	145
2	53
1	20
0	8

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ z (+ (+ y x) (+ y x))))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

326.0ms

(+ x (+ z (+ (+ y x) (+ y x))))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ x (+ z (+ (+ y x) (+ y x))))

simplify2.6s

Counts

26 → 26

Iterations

Iter	Nodes
done	5008
3	3484
2	514
1	136
0	53

prune131.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (+ y y) (* 3 x)) z)
0.0b	(+ (+ y y) (* 3 x))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
4×	`*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

112.0ms	(+ (+ (+ y y) (* 3 x)) z)
28.0ms	(+ (+ y y) (* 3 x))

series62.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (+ (+ y y) (* 3 x)) z)
35.0ms	(+ (+ y y) (* 3 x))

simplify2.5s

Counts

34 → 34

Iterations

Iter	Nodes
done	5014
3	3415
2	689
1	169
0	58

prune205.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))
0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.5b	(cbrt (+ (+ y y) (* 3 x)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `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 → 87

Calls

4 calls:

149.0ms	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))
18.0ms	(cbrt (+ (+ y y) (* 3 x)))
18.0ms	(cbrt (+ (+ y y) (* 3 x)))
14.0ms	(cbrt (+ (+ y y) (* 3 x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

370.0ms	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))
301.0ms	(cbrt (+ (+ y y) (* 3 x)))
331.0ms	(cbrt (+ (+ y y) (* 3 x)))
329.0ms	(cbrt (+ (+ y y) (* 3 x)))

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2585
2	889
1	343
0	143

prune657.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.5b	(cbrt (* (* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x)))) (cbrt (+ (+ y y) (* 3 x)))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
10×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 75

Calls

4 calls:

14.0ms	(cbrt (+ (+ y y) (* 3 x)))
14.0ms	(cbrt (+ (+ y y) (* 3 x)))
23.0ms	(cbrt (+ (+ y y) (* 3 x)))
203.0ms	(cbrt (* (* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x)))) (cbrt (+ (+ y y) (* 3 x)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

357.0ms	(cbrt (+ (+ y y) (* 3 x)))
298.0ms	(cbrt (+ (+ y y) (* 3 x)))
345.0ms	(cbrt (+ (+ y y) (* 3 x)))
340.0ms	(cbrt (* (* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x)))) (cbrt (+ (+ y y) (* 3 x)))))

simplify1.8s

Counts

87 → 87

Iterations

Iter	Nodes
done	5026
3	1520
2	586
1	305
0	166

prune700.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes372.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample771.0ms

Algorithm

intervals

Results

450.0ms	7392×	body	80	valid
40.0ms	211×	body	1280	valid
23.0ms	175×	body	640	valid
13.0ms	127×	body	320	valid
6.0ms	32×	body	2560	valid
5.0ms	74×	body	160	valid