Details

sample72.0ms

Algorithm

intervals

Results

20.0ms	324×	body	80	nan
19.0ms	276×	body	80	valid

simplify8.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

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:

110.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* 3.0 (sqrt x))

series215.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
71.0ms	(/ y (* 3.0 (sqrt x)))
18.0ms	(/ 1.0 (* x 9.0))
52.0ms	(* 3.0 (sqrt x))

simplify53.0ms

Counts: 97 → 97

prune301.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
60×	`times-frac`
44×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `add-log-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `frac-sub` `associate-/l*`
5×	`cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate--l+` `clear-num`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 150

Calls

4 calls:

102.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
11.0ms	(/ y (sqrt x))
13.0ms	(/ 1.0 (* x 9.0))
46.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
65.0ms	(/ y (sqrt x))
26.0ms	(/ 1.0 (* x 9.0))
96.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify81.0ms

Counts: 162 → 162

prune479.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
108×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
81×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
16×	`associate-/l*`
13×	`associate-l`
12×	`div-exp`
9×	`associate-/r*` `add-log-exp` `unswap-sqr`
8×	`cbrt-undiv` `prod-exp` `div-inv`
6×	`pow1` `frac-sub`
4×	`flip3--` `flip--` `cbrt-unprod`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate--l+` `clear-num`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 199

Calls

4 calls:

228.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
6.0ms	(/ y (sqrt x))
12.0ms	(/ (/ 1.0 x) 9.0)
38.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
73.0ms	(/ y (sqrt x))
25.0ms	(/ (/ 1.0 x) 9.0)
96.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify79.0ms

Counts: 211 → 211

prune784.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (/ y (sqrt x)) 3.0) (/ (/ 1.0 x) 9.0))
0.2b	(/ y (sqrt x))
0.2b	(/ (/ y (sqrt x)) 3.0)
0.3b	(/ (/ 1.0 x) 9.0)

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
148×	`*-un-lft-identity`
136×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`sqrt-prod`
38×	`associate-/l*`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
11×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `distribute-lft-out`
2×	`associate-/l/`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+`

Counts

4 → 230

Calls

4 calls:

228.0ms	(+ (/ (/ y (sqrt x)) 3.0) (/ (/ 1.0 x) 9.0))
17.0ms	(/ y (sqrt x))
23.0ms	(/ (/ y (sqrt x)) 3.0)
18.0ms	(/ (/ 1.0 x) 9.0)

series512.0ms

Counts

4 → 12

Calls

4 calls:

348.0ms	(+ (/ (/ y (sqrt x)) 3.0) (/ (/ 1.0 x) 9.0))
66.0ms	(/ y (sqrt x))
79.0ms	(/ (/ y (sqrt x)) 3.0)
19.0ms	(/ (/ 1.0 x) 9.0)

simplify73.0ms

Counts: 242 → 242

prune840.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify9.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

568.0ms	8634×	body	80	nan
560.0ms	8541×	body	80	valid