Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	230×	body	80	valid
1.0ms	12×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify42.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	50
7	50
6	47
5	44
4	38
3	31
2	25
1	12
0	7

prune3.0ms

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 (* (/ 3.0 8.0) y))

rewrite5.0ms

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:

4.0ms

(- x (* (/ 3.0 8.0) y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.4s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	2712
3	887
2	249
1	81
0	32

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.2b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

9.0ms	(- x (* (/ 3.0 8.0) y))
4.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
32.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series291.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- x (* (/ 3.0 8.0) y))
103.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
84.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
53.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify1.7s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	2024
2	637
1	248
0	112

prune414.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.1b	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
0.3b	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (- x (* (/ 3.0 8.0) y))))
0.3b	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
97×	`sqrt-pow1`
91×	`sqrt-prod`
75×	`pow1`
60×	`add-sqr-sqrt`
53×	`pow1/2`
43×	`pow-prod-up`
35×	`flip3--` `flip--`
32×	`frac-times`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`swap-sqr`
16×	`associate-*l/`
15×	`associate-r`
13×	`pow-sqr`
12×	`pow-prod-down`
11×	`add-cbrt-cube` `add-exp-log` `unswap-sqr`
10×	`associate-l` `associate-*r/`
7×	`pow-plus`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt`

Counts

4 → 203

Calls

4 calls:

10.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
10.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
103.0ms	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (- x (* (/ 3.0 8.0) y))))
36.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

series975.0ms

Counts

4 → 12

Calls

4 calls:

435.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
376.0ms	(sqrt (sqrt (- x (* (/ 3.0 8.0) y))))
56.0ms	(* (* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y))))) (sqrt (- x (* (/ 3.0 8.0) y))))
108.0ms	(* (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))) (sqrt (sqrt (- x (* (/ 3.0 8.0) y)))))

simplify2.9s

Counts

215 → 215

Iterations

Iter	Nodes
done	5001
3	4008
2	1405
1	604
0	235

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 3.0 (/ 8.0 y)))
0.3b	(/ 3.0 (/ 8.0 y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `difference-of-squares`
2×	`pow1`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

2 → 86

Calls

2 calls:

17.0ms	(- x (/ 3.0 (/ 8.0 y)))
7.0ms	(/ 3.0 (/ 8.0 y))

series47.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- x (/ 3.0 (/ 8.0 y)))
17.0ms	(/ 3.0 (/ 8.0 y))

simplify2.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5070
3	4446
2	1175
1	438
0	180

prune518.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes281.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample580.0ms

Algorithm

intervals

Results

287.0ms	7379×	body	80	valid
53.0ms	158×	body	640	valid
31.0ms	230×	body	1280	valid
14.0ms	88×	body	2560	valid
8.0ms	95×	body	320	valid
3.0ms	50×	body	160	valid