Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

353×

body

valid

simplify30.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

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:

39.0ms	(* x (+ x y))
60.0ms	(* (* x (+ x y)) 2.0)

series122.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* x (+ x y))
75.0ms	(* (* x (+ x y)) 2.0)

simplify4.1s

Counts

49 → 49

Iterations

Useful iterations: 2 (194.0ms)

Iter	Nodes	Cost
0	72	439
1	198	407
2	766	349
3	3964	349
done	5000	349

prune81.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

51.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify1.9s

Counts

23 → 23

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	52	242
1	147	223
2	533	185
3	2463	185
done	5002	185

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:

8.0ms	(+ (* x x) (* x y))
31.0ms	(* 2.0 (+ (* x x) (* x y)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x x) (* x y))
60.0ms	(* 2.0 (+ (* x x) (* x y)))

simplify2.1s

Counts

41 → 41

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	62	487
1	185	383
2	657	335
3	2728	335
done	5000	335

prune104.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* x y))
0.2b	(* (* 2.0 (sqrt (* x (+ x y)))) (sqrt (+ (* x x) (* x y))))
6.6b	(sqrt (+ (* x x) (* x y)))
6.6b	(sqrt (* x (+ x y)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div` `associate-*r/`
13×	`pow1`
9×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
4×	`frac-times` `pow-prod-down`
3×	`sqrt-pow1` `prod-exp` `cbrt-unprod` `distribute-lft-out`
2×	`pow1/2` `associate-*l/`
1×	`+-commutative` `rem-sqrt-square` `associate-l` `sum-log` `*-commutative`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+ (* x x) (* x y))
203.0ms	(* (* 2.0 (sqrt (* x (+ x y)))) (sqrt (+ (* x x) (* x y))))
8.0ms	(sqrt (+ (* x x) (* x y)))
11.0ms	(sqrt (* x (+ x y)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* x x) (* x y))
152.0ms	(* (* 2.0 (sqrt (* x (+ x y)))) (sqrt (+ (* x x) (* x y))))
73.0ms	(sqrt (+ (* x x) (* x y)))
73.0ms	(sqrt (* x (+ x y)))

simplify3.8s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	132	1389
1	345	991
2	1139	893
3	4675	887
done	5002	887

prune235.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes114.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	7
done	13	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

875.0ms

11091×

body

valid