Details

sample50.0ms

Algorithm

intervals

Results

28.0ms

433×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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-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:

20.0ms	(+ (* (* y y) 3) (* x x))
14.0ms	(* (* y y) 3)

series69.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* (* y y) 3) (* x x))
30.0ms	(* (* y y) 3)

simplify885.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1250
1	197
0	60

prune170.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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))
22.0ms	(* y (* y 3))

series103.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* y (* y 3)) (* x x))
38.0ms	(* y (* y 3))

simplify624.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	941
1	175
0	56

prune198.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* (cbrt 3) (cbrt 3)) (* y y)) (cbrt 3)) (* x x))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* y y))
0.3b	(* (* (* (cbrt 3) (cbrt 3)) (* y y)) (cbrt 3))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
33×	`add-exp-log`
27×	`pow-prod-down`
21×	`prod-exp` `cbrt-unprod`
20×	`add-cbrt-cube`
7×	`associate-r`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`pow-plus` `pow-prod-up`
3×	`cbrt-prod`
2×	`pow2` `associate-l` `pow-sqr` `*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

169.0ms	(+ (* (* (* (cbrt 3) (cbrt 3)) (* y y)) (cbrt 3)) (* x x))
44.0ms	(* (* (cbrt 3) (cbrt 3)) (* y y))
166.0ms	(* (* (* (cbrt 3) (cbrt 3)) (* y y)) (cbrt 3))

series340.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (* (* (* (cbrt 3) (cbrt 3)) (* y y)) (cbrt 3)) (* x x))
105.0ms	(* (* (cbrt 3) (cbrt 3)) (* y y))
133.0ms	(* (* (* (cbrt 3) (cbrt 3)) (* y y)) (cbrt 3))

simplify1.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	2435
1	320
0	98

prune186.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (pow (cbrt 3) 2))
0.1b	(* y (* y (pow (cbrt 3) 2)))
0.2b	(* (sqrt (cbrt 3)) (* y (* y (pow (cbrt 3) 2))))
0.2b	(* (* (sqrt (cbrt 3)) (* y (* y (pow (cbrt 3) 2)))) (sqrt (cbrt 3)))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
40×	`prod-exp`
34×	`add-cbrt-cube`
23×	`add-sqr-sqrt`
22×	`associate-r`
20×	`pow1` `cbrt-unprod`
16×	`associate-l`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`sqrt-prod`
10×	`cbrt-prod` `pow-prod-down`
8×	`unpow-prod-down`
5×	`unswap-sqr`
4×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
2×	`unpow2` `sqr-pow`

Counts

4 → 109

Calls

4 calls:

17.0ms	(* y (pow (cbrt 3) 2))
28.0ms	(* y (* y (pow (cbrt 3) 2)))
72.0ms	(* (sqrt (cbrt 3)) (* y (* y (pow (cbrt 3) 2))))
194.0ms	(* (* (sqrt (cbrt 3)) (* y (* y (pow (cbrt 3) 2)))) (sqrt (cbrt 3)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* y (pow (cbrt 3) 2))
88.0ms	(* y (* y (pow (cbrt 3) 2)))
194.0ms	(* (sqrt (cbrt 3)) (* y (* y (pow (cbrt 3) 2))))
101.0ms	(* (* (sqrt (cbrt 3)) (* y (* y (pow (cbrt 3) 2)))) (sqrt (cbrt 3)))

simplify1.7s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	2538
1	381
0	145

prune544.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes247.0ms

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	9
1	9
0	7

end0.0ms

sample986.0ms

Algorithm

intervals

Results

699.0ms

14306×

body

valid