Details

sample47.0ms

Algorithm

intervals

Results

22.0ms

433×

body

valid

simplify66.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	51
5	51
4	47
3	36
2	23
1	13
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* y y) 3) (* x x))
0.2b	(* (* y y) 3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

15.0ms	(+ (* (* y y) 3) (* x x))
28.0ms	(* (* y y) 3)

series100.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* (* y y) 3) (* x x))
36.0ms	(* (* y y) 3)

simplify1.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1250
1	197
0	60

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (* y 3)) (* x x))
0.2b	(* y (* y 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

21.0ms	(+ (* y (* y 3)) (* x x))
13.0ms	(* y (* y 3))

series113.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* y (* y 3)) (* x x))
47.0ms	(* y (* y 3))

simplify993.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	941
1	175
0	56

prune125.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* y (sqrt 3)) (* y (sqrt 3))) (* x x))
0.3b	(* (* y (sqrt 3)) (* y (sqrt 3)))
0.4b	(* y (sqrt 3))
0.4b	(* y (sqrt 3))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-r`
10×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 89

Calls

4 calls:

29.0ms	(+ (* (* y (sqrt 3)) (* y (sqrt 3))) (* x x))
42.0ms	(* (* y (sqrt 3)) (* y (sqrt 3)))
15.0ms	(* y (sqrt 3))
16.0ms	(* y (sqrt 3))

series311.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (* (* y (sqrt 3)) (* y (sqrt 3))) (* x x))
100.0ms	(* (* y (sqrt 3)) (* y (sqrt 3)))
57.0ms	(* y (sqrt 3))
62.0ms	(* y (sqrt 3))

simplify1.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1234
1	249
0	84

prune310.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (* (cbrt (sqrt 3)) (cbrt (sqrt 3))))
0.3b	(* (* y (sqrt 3)) (* (* y (* (cbrt (sqrt 3)) (cbrt (sqrt 3)))) (cbrt (sqrt 3))))
0.4b	(* y (sqrt 3))
1.0b	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
47×	`add-sqr-sqrt`
45×	`add-exp-log`
40×	`cbrt-prod`
31×	`add-cbrt-cube`
30×	`pow-prod-down`
29×	`prod-exp` `cbrt-unprod`
24×	`sqrt-prod`
20×	`*-un-lft-identity` `add-cube-cbrt`
17×	`associate-r`
16×	`associate-l`
12×	`unswap-sqr`
11×	`swap-sqr`
6×	`pow1/3`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 131

Calls

4 calls:

29.0ms	(* y (* (cbrt (sqrt 3)) (cbrt (sqrt 3))))
260.0ms	(* (* y (sqrt 3)) (* (* y (* (cbrt (sqrt 3)) (cbrt (sqrt 3)))) (cbrt (sqrt 3))))
8.0ms	(* y (sqrt 3))
14.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series702.0ms

Counts

4 → 10

Calls

4 calls:

518.0ms	(* y (* (cbrt (sqrt 3)) (cbrt (sqrt 3))))
128.0ms	(* (* y (sqrt 3)) (* (* y (* (cbrt (sqrt 3)) (cbrt (sqrt 3)))) (cbrt (sqrt 3))))
56.0ms	(* y (sqrt 3))
0.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify2.7s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	2407
1	378
0	139

prune442.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

0% (0.1b 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

sample1.2s

Algorithm

intervals

Results

728.0ms

14306×

body

valid