Details

sample35.0ms

Algorithm

intervals

Results

16.0ms	233×	body	80	valid
3.0ms	8×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	3×	body	2560	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify207.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity` `add-log-exp`
32×	`sum-log` `distribute-lft-out`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

2 → 46

Calls

2 calls:

166.0ms	(+ x (+ z (+ (+ y x) (+ y x))))
83.0ms	(+ z (+ (+ y x) (+ y x)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (+ z (+ (+ y x) (+ y x))))
27.0ms	(+ z (+ (+ y x) (+ y x)))

simplify1.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	799
1	199
0	73

prune160.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
0.6b	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

502×	`*-un-lft-identity`
361×	`distribute-lft-out`
151×	`cbrt-prod`
54×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `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 → 169

Calls

4 calls:

1.5s	(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
203.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
202.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
188.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

430.0ms	(* (cbrt (+ x (+ z (+ (+ y x) (+ y x))))) (cbrt (+ x (+ z (+ (+ y x) (+ y x))))))
356.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
326.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
366.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

simplify2.6s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
3	3841
2	889
1	320
0	138

prune551.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
0.6b	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

rewrite870.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
76×	`distribute-lft-out`
36×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 80

Calls

4 calls:

235.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
195.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
212.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
225.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

347.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
310.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
403.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))
352.0ms	(cbrt (+ x (+ z (+ (+ y x) (+ y x)))))

simplify1.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5019
3	2545
2	479
1	167
0	72

prune499.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ z (+ (+ y x) (+ y x))))
0.0b	(sqrt (+ z (+ (+ y x) (+ y x))))
0.0b	(+ x (* (sqrt (+ z (+ (+ y x) (+ y x)))) (sqrt (+ z (+ (+ y x) (+ y x))))))
0.3b	(* (sqrt (+ z (+ (+ y x) (+ y x)))) (sqrt (+ z (+ (+ y x) (+ y x)))))

rewrite859.0ms

Algorithm

rewrite-expression-head

Rules

312×	`*-un-lft-identity`
208×	`distribute-lft-out`
114×	`sqrt-prod`
43×	`swap-sqr`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 157

Calls

4 calls:

129.0ms	(sqrt (+ z (+ (+ y x) (+ y x))))
146.0ms	(sqrt (+ z (+ (+ y x) (+ y x))))
9.0ms	(+ x (* (sqrt (+ z (+ (+ y x) (+ y x)))) (sqrt (+ z (+ (+ y x) (+ y x))))))
570.0ms	(* (sqrt (+ z (+ (+ y x) (+ y x)))) (sqrt (+ z (+ (+ y x) (+ y x)))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (+ z (+ (+ y x) (+ y x))))
104.0ms	(sqrt (+ z (+ (+ y x) (+ y x))))
48.0ms	(+ x (* (sqrt (+ z (+ (+ y x) (+ y x)))) (sqrt (+ z (+ (+ y x) (+ y x))))))
63.0ms	(* (sqrt (+ z (+ (+ y x) (+ y x)))) (sqrt (+ z (+ (+ y x) (+ y x)))))

simplify1.4s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	1215
1	368
0	147

prune489.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes240.0ms

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	10
1	10
0	7

end0.0ms

sample848.0ms

Algorithm

intervals

Results

441.0ms	7397×	body	80	valid
87.0ms	202×	body	1280	valid
53.0ms	115×	body	320	valid
38.0ms	194×	body	640	valid
31.0ms	65×	body	160	valid
12.0ms	39×	body	2560	valid