Details

sample54.0ms

Algorithm

intervals

Results

27.0ms

460×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:

24.0ms	(+ (* (* y y) 3) (* x x))
23.0ms	(* (* y y) 3)

series81.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* (* y y) 3) (* x x))
28.0ms	(* (* y y) 3)

simplify737.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1250
1	197
0	60

prune128.0ms

Pruning

4 alts after pruning (3 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))

rewrite28.0ms

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:

15.0ms	(+ (* y (* y 3)) (* x x))
12.0ms	(* y (* y 3))

series93.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (* y (* y 3)) (* x x))
35.0ms	(* y (* y 3))

simplify591.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	941
1	175
0	56

prune136.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* 3 y))
0.3b	(* (sqrt (+ (* y (* 3 y)) (pow x 2))) (sqrt (+ (* y (* 3 y)) (pow x 2))))
4.0b	(sqrt (+ (* y (* 3 y)) (pow x 2)))
4.0b	(sqrt (+ (* y (* 3 y)) (pow x 2)))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`pow1`
24×	`sqrt-prod`
16×	`sqrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-l`
8×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-r`
6×	`pow-prod-down`
5×	`pow-prod-up`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 105

Calls

4 calls:

27.0ms	(* y (* 3 y))
163.0ms	(* (sqrt (+ (* y (* 3 y)) (pow x 2))) (sqrt (+ (* y (* 3 y)) (pow x 2))))
35.0ms	(sqrt (+ (* y (* 3 y)) (pow x 2)))
40.0ms	(sqrt (+ (* y (* 3 y)) (pow x 2)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* y (* 3 y))
51.0ms	(* (sqrt (+ (* y (* 3 y)) (pow x 2))) (sqrt (+ (* y (* 3 y)) (pow x 2))))
74.0ms	(sqrt (+ (* y (* 3 y)) (pow x 2)))
96.0ms	(sqrt (+ (* y (* 3 y)) (pow x 2)))

simplify900.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1416
1	276
0	115

prune506.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

58.0ms	(+ (* (* (sqrt 3) (* y y)) (sqrt 3)) (* x x))
82.0ms	(* (* (sqrt 3) (* y y)) (sqrt 3))
33.0ms	(* (sqrt 3) (* y y))

series294.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(+ (* (* (sqrt 3) (* y y)) (sqrt 3)) (* x x))
108.0ms	(* (* (sqrt 3) (* y y)) (sqrt 3))
85.0ms	(* (sqrt 3) (* y y))

simplify1.3s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1897
1	274
0	89

prune191.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes267.0ms

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	10
1	10
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

14374×

body

valid