Details

sample56.0ms

Algorithm

intervals

Results

15.0ms	278×	body	80	valid
14.0ms	266×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1334
6	407
5	134
4	62
3	40
2	23
1	13
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.2b	(* y (sqrt x))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

50.0ms	(+ (- 1.0 x) (* y (sqrt x)))
17.0ms	(* y (sqrt x))

series119.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (- 1.0 x) (* y (sqrt x)))
63.0ms	(* y (sqrt x))

simplify882.0ms

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	894
1	250
0	95

prune218.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

3.0ms	(sqrt (sqrt x))
3.0ms	(sqrt (sqrt x))
20.0ms	(* y (sqrt (sqrt x)))
59.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(sqrt (sqrt x))
221.0ms	(sqrt (sqrt x))
100.0ms	(* y (sqrt (sqrt x)))
54.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1698
1	354
0	132

prune607.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (sqrt x))) (cbrt (* (sqrt (sqrt x)) (sqrt x))))
0.4b	(* (sqrt (sqrt x)) (sqrt x))
0.6b	(cbrt (* (sqrt (sqrt x)) (sqrt x)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
35×	`sqrt-prod`
23×	`pow1`
19×	`associate-r`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l` `add-exp-log`
12×	`sqrt-pow1`
11×	`add-cbrt-cube`
9×	`unswap-sqr`
8×	`pow1/2`
7×	`pow-prod-down`
6×	`pow-prod-up`
5×	`prod-exp` `cbrt-unprod`
4×	`cube-unmult` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-prod` `pow-plus` `rem-cbrt-cube`
1×	`pow1/3` `sqrt-unprod`

Counts

4 → 101

Calls

4 calls:

16.0ms	(* y (sqrt (sqrt x)))
52.0ms	(* (* y (sqrt (sqrt x))) (cbrt (* (sqrt (sqrt x)) (sqrt x))))
28.0ms	(* (sqrt (sqrt x)) (sqrt x))
8.0ms	(cbrt (* (sqrt (sqrt x)) (sqrt x)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* y (sqrt (sqrt x)))
61.0ms	(* (* y (sqrt (sqrt x))) (cbrt (* (sqrt (sqrt x)) (sqrt x))))
254.0ms	(* (sqrt (sqrt x)) (sqrt x))
239.0ms	(cbrt (* (sqrt (sqrt x)) (sqrt x)))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5003
2	2263
1	441
0	168

prune507.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (sqrt x)) (sqrt x))
0.4b	(* (sqrt (sqrt x)) (sqrt x))
0.6b	(cbrt (* (sqrt (sqrt x)) (sqrt x)))
0.6b	(cbrt (* (sqrt (sqrt x)) (sqrt x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt` `sqrt-prod`
28×	`pow1`
24×	`sqrt-pow1`
18×	`associate-l`
16×	`pow1/2`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r` `pow-prod-up` `unswap-sqr`
8×	`add-cbrt-cube` `cube-unmult` `add-exp-log`
6×	`pow-prod-down`
4×	`pow-plus` `rem-cbrt-cube` `add-log-exp`
2×	`cbrt-prod` `pow1/3` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 112

Calls

4 calls:

26.0ms	(* (sqrt (sqrt x)) (sqrt x))
17.0ms	(* (sqrt (sqrt x)) (sqrt x))
12.0ms	(cbrt (* (sqrt (sqrt x)) (sqrt x)))
8.0ms	(cbrt (* (sqrt (sqrt x)) (sqrt x)))

series870.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (sqrt (sqrt x)) (sqrt x))
220.0ms	(* (sqrt (sqrt x)) (sqrt x))
222.0ms	(cbrt (* (sqrt (sqrt x)) (sqrt x)))
196.0ms	(cbrt (* (sqrt (sqrt x)) (sqrt x)))

simplify2.3s

Counts

124 → 124

Iterations

Iter	Nodes
done	5002
3	4364
2	756
1	198
0	86

prune670.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes178.0ms

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

sample1.3s

Algorithm

intervals

Results

457.0ms	8433×	body	80	nan
426.0ms	8542×	body	80	valid
0.0ms	1×	body	320	valid