Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	8	5
2	15	5
3	21	5
4	26	5
done	26	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite32.0ms

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:

30.0ms

(* 500.0 (- x y))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* 500.0 (- x y))

simplify1.1s

Counts

29 → 29

Iterations

Useful iterations: 3 (361.0ms)

Iter	Nodes	Cost
0	52	217
1	125	206
2	386	188
3	1697	186
done	5000	186

prune69.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 500.0) (* 500.0 (- y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

10.0ms

(+ (* x 500.0) (* 500.0 (- y)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(+ (* x 500.0) (* 500.0 (- y)))

simplify3.1s

Counts

16 → 16

Iterations

Useful iterations: 3 (649.0ms)

Iter	Nodes	Cost
0	31	184
1	103	136
2	549	120
3	3937	115
done	5000	115

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 500.0) (- x y))
0.4b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite71.0ms

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:

29.0ms	(* (sqrt 500.0) (- x y))
38.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (sqrt 500.0) (- x y))
106.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify730.0ms

Counts

67 → 67

Iterations

Useful iterations: done (728.0ms)

Iter	Nodes	Cost
0	86	741
1	233	680
2	1227	498
done	5000	482

prune190.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x y))
0.0b	(sqrt (- x y))
0.1b	(* 500.0 (sqrt (- x y)))
0.1b	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

13.0ms	(sqrt (- x y))
8.0ms	(sqrt (- x y))
28.0ms	(* 500.0 (sqrt (- x y)))
67.0ms	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (- x y))
68.0ms	(sqrt (- x y))
105.0ms	(* 500.0 (sqrt (- x y)))
34.0ms	(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

simplify868.0ms

Counts

103 → 103

Iterations

Useful iterations: done (861.0ms)

Iter	Nodes	Cost
0	119	1229
1	295	989
2	1399	905
done	5001	875

prune303.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	16	8
3	17	8
done	17	8

end0.0ms

sample557.0ms

Algorithm

intervals

Results

207.0ms	8049×	body	80	valid
1.0ms	10×	body	1280	valid
1.0ms	6×	body	2560	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	320	valid