Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	254×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	2560	valid

simplify13.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 200.0 (- x y))

rewrite40.0ms

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:

39.0ms

(* 200.0 (- x y))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* 200.0 (- x y))

simplify2.8s

Counts

29 → 29

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	52	217
1	113	206
2	288	186
3	1040	186
4	3890	186
done	5001	186

prune52.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

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:

36.0ms	(* (sqrt 200.0) (- x y))
56.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

series226.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (sqrt 200.0) (- x y))
144.0ms	(* (sqrt 200.0) (* (sqrt 200.0) (- x y)))

simplify2.1s

Counts

67 → 67

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	86	741
1	192	551
2	639	482
3	2467	482
done	5000	480

prune156.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `neg-sub0` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `*-un-lft-identity` `flip3-+` `unsub-neg` `neg-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

9.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify2.2s

Counts

18 → 18

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	36	200
1	115	145
2	464	128
3	1920	124
done	5001	122

prune29.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) 200.0)
0.2b	(* (* 200.0 200.0) (- (* x x) (* y y)))
4.2b	(- (* x x) (* y y))
30.0b	(/ (* (* 200.0 200.0) (- (* x x) (* y y))) (* (+ x y) 200.0))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
13×	`prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt` `associate-r`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-l`
4×	`associate-r/` `pow-prod-down` `associate-l/`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 89

Calls

4 calls:

27.0ms	(* (+ x y) 200.0)
53.0ms	(* (* 200.0 200.0) (- (* x x) (* y y)))
17.0ms	(- (* x x) (* y y))
91.0ms	(/ (* (* 200.0 200.0) (- (* x x) (* y y))) (* (+ x y) 200.0))

series253.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (+ x y) 200.0)
85.0ms	(* (* 200.0 200.0) (- (* x x) (* y y)))
58.0ms	(- (* x x) (* y y))
81.0ms	(/ (* (* 200.0 200.0) (- (* x x) (* y y))) (* (+ x y) 200.0))

simplify1.5s

Counts

101 → 101

Iterations

Useful iterations: 2 (569.0ms)

Iter	Nodes	Cost
0	136	1616
1	424	1554
2	2281	1196
done	5000	1196

prune222.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes111.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample521.0ms

Algorithm

intervals

Results

231.0ms	7935×	body	80	valid
6.0ms	56×	body	1280	valid
3.0ms	35×	body	640	valid
2.0ms	18×	body	2560	valid
1.0ms	13×	body	320	valid
1.0ms	15×	body	160	valid