Details

sample10.0ms

Algorithm

intervals

Results

4.0ms	252×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	8	5
2	15	5
3	20	5
4	24	5
done	24	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

9.0ms

(* 200.0 (- x y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* 200.0 (- x y))

simplify1.9s

Counts

29 → 29

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	52	217
1	112	206
2	278	186
3	786	186
4	2093	186
done	5001	186

prune43.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 200.0) (* (- y) 200.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-lft-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 14

Calls

1 calls:

3.0ms

(+ (* x 200.0) (* (- y) 200.0))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+ (* x 200.0) (* (- y) 200.0))

simplify3.7s

Counts

17 → 17

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	32	188
1	106	135
2	394	122
3	1452	118
4	4597	116
done	5000	116

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt 200.0) (- x y))
0.4b	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`sub-neg` `associate-r/` `associate-r*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

11.0ms	(* (sqrt 200.0) (- x y))
17.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (sqrt 200.0) (- x y))
94.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify2.2s

Counts

67 → 67

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	86	741
1	194	551
2	624	482
3	2150	482
done	5000	482

prune95.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt 200.0) (- x y))
0.3b	(* (sqrt (* (cbrt 200.0) (cbrt 200.0))) (* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y))))
0.3b	(* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

34×	`distribute-rgt-in` `distribute-lft-in`
19×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`sub-neg`
12×	`-un-lft-identity` `associate-r/`
11×	`sqrt-prod`
10×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
3×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 104

Calls

3 calls:

11.0ms	(* (sqrt 200.0) (- x y))
60.0ms	(* (sqrt (* (cbrt 200.0) (cbrt 200.0))) (* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y))))
19.0ms	(* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y)))

series405.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* (sqrt 200.0) (- x y))
178.0ms	(* (sqrt (* (cbrt 200.0) (cbrt 200.0))) (* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y))))
162.0ms	(* (sqrt (cbrt 200.0)) (* (sqrt 200.0) (- x y)))

simplify878.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (123.0ms)

Iter	Nodes	Cost
0	141	1934
1	328	1617
2	1141	1476
done	5000	1476

prune393.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	15	8
3	16	8
done	16	8

end0.0ms

sample255.0ms

Algorithm

intervals

Results

120.0ms	7917×	body	80	valid
3.0ms	49×	body	1280	valid
2.0ms	39×	body	640	valid
1.0ms	20×	body	2560	valid
1.0ms	19×	body	320	valid
0.0ms	11×	body	160	valid