Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

283×

body

valid

simplify277.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	30	9
3	61	9
4	104	9
5	164	9
6	241	9
7	299	9
8	335	9
9	348	9
done	348	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.4b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

24.0ms	(* (- x (/ 16.0 116.0)) 3.0)
32.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- x (/ 16.0 116.0)) 3.0)
39.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.4s

Counts

49 → 49

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	84	540
1	198	532
2	700	444
3	2731	444
done	5000	444

prune92.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
4×	`*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `associate-*l/` `difference-of-squares`
1×	`flip3--` `times-frac` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

28.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify904.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	62	322
1	162	319
2	523	259
3	1912	259
done	5001	259

prune52.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.4b	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
0.7b	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
15×	`associate-r`
12×	`associate-*l/`
11×	`*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-l`
7×	`sqrt-prod`
3×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`difference-of-squares` `unswap-sqr`
1×	`times-frac` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

26.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
123.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
36.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series334.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
142.0ms	(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
112.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify2.4s

Counts

82 → 82

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	118	1216
1	299	921
2	1104	767
3	4432	767
done	5000	767

prune134.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.4b	(* y (sqrt 3.0))
0.6b	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* y (sqrt 3.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`*-un-lft-identity`
10×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`sqrt-prod`
6×	`associate-*l/`
4×	`unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

25.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
4.0ms	(* y (sqrt 3.0))
40.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* y (sqrt 3.0)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* (- x (/ 16.0 116.0)) (sqrt 3.0))
41.0ms	(* y (sqrt 3.0))
144.0ms	(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* y (sqrt 3.0)))

simplify2.2s

Counts

82 → 82

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	113	1022
1	279	901
2	893	687
3	4021	687
done	5000	687

prune122.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	11	9
done	11	9

end0.0ms

sample354.0ms

Algorithm

intervals

Results

209.0ms

9119×

body

valid