Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	17	9
2	28	9
3	41	9
4	55	9
5	117	9
6	316	9
7	1055	9
8	3919	9
done	5000	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

47.0ms

(/ (- x y) (- 2.0 (+ x y)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify607.0ms

Counts

63 → 63

Iterations

Useful iterations: done (605.0ms)

Iter	Nodes	Cost
0	114	1010
1	289	965
2	1052	925
done	5000	923

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
24.4b	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
41×	`times-frac`
30×	`associate-l`
29×	`add-cube-cbrt`
20×	`difference-of-squares`
12×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `distribute-lft-out` `distribute-lft-out--`
8×	`flip3-+` `flip-+`
6×	`frac-times` `swap-sqr`
5×	`associate-/l*`
4×	`associate-r/` `associate-/r` `associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `div-sub` `clear-num` `pow-sqr` `pow-prod-up`

Counts

3 → 145

Calls

3 calls:

51.0ms	(* (+ x y) (+ x y))
114.0ms	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
29.0ms	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series211.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* (+ x y) (+ x y))
106.0ms	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
82.0ms	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify572.0ms

Counts

154 → 154

Iterations

Useful iterations: done (565.0ms)

Iter	Nodes	Cost
0	237	3174
1	895	3029
done	5000	2806

prune365.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x y))
0.0b	(sqrt (- x y))
0.1b	(/ (sqrt (- x y)) (/ (- 2.0 (+ x y)) (sqrt (- x y))))
0.2b	(/ (- 2.0 (+ x y)) (sqrt (- x y)))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

969×	`*-un-lft-identity`
912×	`times-frac`
728×	`add-sqr-sqrt`
590×	`sqrt-prod`
328×	`add-cube-cbrt`
280×	`distribute-lft-out--`
199×	`difference-of-squares`
81×	`distribute-lft-out`
62×	`associate-/r*`
26×	`sqrt-div`
21×	`associate-/r/`
14×	`flip3--` `flip--` `associate-/l*`
11×	`add-exp-log` `add-cbrt-cube` `div-inv`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`div-sub`

Counts

4 → 632

Calls

4 calls:

12.0ms	(sqrt (- x y))
14.0ms	(sqrt (- x y))
99.0ms	(/ (sqrt (- x y)) (/ (- 2.0 (+ x y)) (sqrt (- x y))))
78.0ms	(/ (- 2.0 (+ x y)) (sqrt (- x y)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (- x y))
69.0ms	(sqrt (- x y))
65.0ms	(/ (sqrt (- x y)) (/ (- 2.0 (+ x y)) (sqrt (- x y))))
141.0ms	(/ (- 2.0 (+ x y)) (sqrt (- x y)))

simplify830.0ms

Counts

644 → 644

Iterations

Useful iterations: done (802.0ms)

Iter	Nodes	Cost
0	520	18204
1	1407	16536
done	5001	16214

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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	7	9
1	8	9
done	8	9

end0.0ms

sample503.0ms

Algorithm

intervals

Results

294.0ms	7996×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid