Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

369×

body

valid

simplify57.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	18	7
2	36	7
3	55	7
done	55	7

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x (+ x y)) 2.0)
0.0b	(* x (+ x y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

45.0ms	(* (* x (+ x y)) 2.0)
20.0ms	(* x (+ x y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (* x (+ x y)) 2.0)
43.0ms	(* x (+ x y))

simplify3.4s

Counts

49 → 49

Iterations

Useful iterations: 2 (173.0ms)

Iter	Nodes	Cost
0	72	439
1	198	407
2	766	349
3	3936	349
done	5000	349

prune122.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (+ (* x x) (* x y)))
0.0b	(+ (* x x) (* x y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

25.0ms	(* 2.0 (+ (* x x) (* x y)))
8.0ms	(+ (* x x) (* x y))

series107.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* 2.0 (+ (* x x) (* x y)))
49.0ms	(+ (* x x) (* x y))

simplify2.3s

Counts

41 → 41

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	62	487
1	185	383
2	659	335
3	2729	335
done	5000	335

prune131.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 2.0 x) (+ x y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

54.0ms

(* (* 2.0 x) (+ x y))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* (* 2.0 x) (+ x y))

simplify4.0s

Counts

26 → 26

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	57	270
1	163	249
2	746	209
3	3565	209
done	5001	209

prune68.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ x y))
0.0b	(* 2.0 (cbrt (pow (* x (+ x y)) 3)))
0.2b	(pow (* x (+ x y)) 3)
32.4b	(cbrt (pow (* x (+ x y)) 3))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod` `add-sqr-sqrt`
15×	`associate-r`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/` `add-cbrt-cube`
6×	`cube-div` `associate-l`
4×	`cbrt-div` `flip3-+` `flip-+` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`cube-mult` `unpow-prod-down` `pow-unpow` `unpow3` `cube-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow-pow` `pow-exp` `*-commutative` `rem-cube-cbrt`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `rem-cbrt-cube` `distribute-lft-out`

Counts

4 → 96

Calls

4 calls:

41.0ms	(* x (+ x y))
35.0ms	(* 2.0 (cbrt (pow (* x (+ x y)) 3)))
17.0ms	(pow (* x (+ x y)) 3)
4.0ms	(cbrt (pow (* x (+ x y)) 3))

series185.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* x (+ x y))
64.0ms	(* 2.0 (cbrt (pow (* x (+ x y)) 3)))
48.0ms	(pow (* x (+ x y)) 3)
41.0ms	(cbrt (pow (* x (+ x y)) 3))

simplify954.0ms

Counts

108 → 108

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	140	1212
1	336	960
2	1235	906
done	5001	898

prune260.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

443.0ms

11222×

body

valid