Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	2438
7	1183
6	419
5	157
4	80
3	43
2	26
1	13
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`pow2` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

23.0ms	(+ (* x (* x x)) (* x x))
17.0ms	(* x (* x x))

series148.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(+ (* x (* x x)) (* x x))
52.0ms	(* x (* x x))

simplify1.7s

Counts

43 → 43

Iterations

Iter	Nodes
done	5004
3	2072
2	458
1	152
0	57

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (* x x) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

19.0ms

(* x (+ (* x x) x))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(* x (+ (* x x) x))

simplify1.4s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
2	741
1	158
0	44

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* x x) x))
0.0b	(* (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))))
30.0b	(sqrt (* x (+ (* x x) x)))
30.0b	(sqrt (* x (+ (* x x) x)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`pow1/2`
11×	`*-un-lft-identity`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`pow-sqr` `sqrt-prod`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `rem-square-sqrt` `distribute-lft-in` `distribute-lft1-in` `pow-plus` `distribute-rgt-out` `sqrt-unprod`

Counts

4 → 107

Calls

4 calls:

31.0ms	(* x (+ (* x x) x))
71.0ms	(* (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))))
10.0ms	(sqrt (* x (+ (* x x) x)))
8.0ms	(sqrt (* x (+ (* x x) x)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* x (+ (* x x) x))
77.0ms	(* (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))))
64.0ms	(sqrt (* x (+ (* x x) x)))
63.0ms	(sqrt (* x (+ (* x x) x)))

simplify1.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5002
2	1033
1	326
0	120

prune434.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* x x) x))
0.0b	(* (sqrt (* x (+ (* x x) x))) (* (sqrt x) (sqrt (+ (* x x) x))))
0.5b	(* (sqrt x) (sqrt (+ (* x x) x)))
30.0b	(sqrt (* x (+ (* x x) x)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
27×	`pow-prod-down`
26×	`sqrt-pow1`
21×	`add-sqr-sqrt`
20×	`associate-*r/`
17×	`pow1/2`
16×	`sqrt-div`
15×	`sqrt-prod`
14×	`associate-r`
13×	`-un-lft-identity` `add-cbrt-cube` `associate-l*` `add-exp-log`
11×	`add-cube-cbrt`
9×	`flip3-+` `flip-+`
6×	`pow-prod-up`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-times` `sqrt-unprod` `add-log-exp`
3×	`pow-sqr` `*-commutative`
2×	`distribute-lft1-in` `distribute-rgt-out` `associate-*l/`
1×	`distribute-rgt-in` `rem-square-sqrt` `distribute-lft-in` `swap-sqr`

Counts

4 → 113

Calls

4 calls:

29.0ms	(* x (+ (* x x) x))
81.0ms	(* (sqrt (* x (+ (* x x) x))) (* (sqrt x) (sqrt (+ (* x x) x))))
26.0ms	(* (sqrt x) (sqrt (+ (* x x) x)))
12.0ms	(sqrt (* x (+ (* x x) x)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (+ (* x x) x))
158.0ms	(* (sqrt (* x (+ (* x x) x))) (* (sqrt x) (sqrt (+ (* x x) x))))
74.0ms	(* (sqrt x) (sqrt (+ (* x x) x)))
41.0ms	(sqrt (* x (+ (* x x) x)))

simplify1.4s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
2	1289
1	410
0	151

prune379.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	4

end0.0ms

sample461.0ms

Algorithm

intervals

Results

199.0ms	8000×	body	80	valid
140.0ms	8000×	pre	80	true