Details

sample47.0ms

Algorithm

intervals

Results

15.0ms	266×	body	80	valid
10.0ms	265×	body	80	nan

simplify135.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

173.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
16.0ms	(/ y (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series238.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
88.0ms	(/ y (* 3.0 (sqrt x)))
57.0ms	(* 3.0 (sqrt x))
29.0ms	(/ 1.0 (* x 9.0))

simplify942.0ms

Counts: 97 → 97

prune364.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

315.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
10.0ms	(/ y (* 3.0 (sqrt x)))
14.0ms	(/ (/ 1.0 x) 9.0)
20.0ms	(* 3.0 (sqrt x))

series217.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
84.0ms	(/ y (* 3.0 (sqrt x)))
29.0ms	(/ (/ 1.0 x) 9.0)
51.0ms	(* 3.0 (sqrt x))

simplify1.1s

Counts: 146 → 146

prune518.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite431.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
138×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
122×	`add-cube-cbrt`
44×	`sqrt-prod`
26×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`associate-/r*`
8×	`add-log-exp`
6×	`cbrt-undiv` `div-exp`
5×	`difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `frac-sub` `flip--` `associate-/l/`
1×	`associate--l-`

Counts

3 → 207

Calls

3 calls:

391.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
15.0ms	(/ (/ 1.0 x) 9.0)
14.0ms	(/ (/ y 3.0) (sqrt x))

series195.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
32.0ms	(/ (/ 1.0 x) 9.0)
90.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.2s

Counts: 216 → 216

prune854.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ y (sqrt 1)) (/ (/ 1 3.0) (sqrt x))))
0.2b	(* (/ y (sqrt 1)) (/ (/ 1 3.0) (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.4b	(/ (/ 1 3.0) (sqrt x))

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

427×	`times-frac`
307×	`add-sqr-sqrt`
220×	`*-un-lft-identity`
205×	`add-cube-cbrt`
116×	`sqrt-prod`
82×	`associate-r`
53×	`add-exp-log`
35×	`add-cbrt-cube`
28×	`unswap-sqr`
26×	`div-exp` `associate-/l*`
22×	`associate-l`
21×	`div-inv`
15×	`cbrt-undiv`
10×	`prod-exp`
9×	`associate-/r*` `add-log-exp`
6×	`pow1` `frac-sub` `cbrt-unprod`
4×	`flip3--` `flip--`
3×	`frac-times` `rec-exp` `diff-log` `1-exp` `associate-r/` `associate-l/`
2×	`sub-neg` `frac-2neg` `associate--l+` `clear-num` `associate-/l/`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 366

Calls

4 calls:

282.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ y (sqrt 1)) (/ (/ 1 3.0) (sqrt x))))
96.0ms	(* (/ y (sqrt 1)) (/ (/ 1 3.0) (sqrt x)))
21.0ms	(/ (/ 1.0 x) 9.0)
16.0ms	(/ (/ 1 3.0) (sqrt x))

series244.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ y (sqrt 1)) (/ (/ 1 3.0) (sqrt x))))
93.0ms	(* (/ y (sqrt 1)) (/ (/ 1 3.0) (sqrt x)))
29.0ms	(/ (/ 1.0 x) 9.0)
67.0ms	(/ (/ 1 3.0) (sqrt x))

simplify673.0ms

Counts: 378 → 378

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes83.0ms

Accuracy

-40% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify538.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

837.0ms	8537×	body	80	nan
672.0ms	8537×	body	80	valid