Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	273×	body	80	valid
12.0ms	275×	body	80	nan

simplify154.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

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:

135.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
10.0ms	(* 3.0 (sqrt x))
14.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))

series270.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms	(* 3.0 (sqrt x))
97.0ms	(/ y (* 3.0 (sqrt x)))
32.0ms	(/ 1.0 (* x 9.0))

simplify934.0ms

Counts: 97 → 97

prune293.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite350.0ms

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:

295.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
19.0ms	(* 3.0 (sqrt x))
14.0ms	(/ y (* 3.0 (sqrt x)))
11.0ms	(/ (/ 1.0 x) 9.0)

series254.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
52.0ms	(* 3.0 (sqrt x))
88.0ms	(/ y (* 3.0 (sqrt x)))
33.0ms	(/ (/ 1.0 x) 9.0)

simplify998.0ms

Counts: 146 → 146

prune542.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)
0.4b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite295.0ms

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:

223.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
6.0ms	(/ y (sqrt x))
11.0ms	(/ (/ 1.0 x) 9.0)
39.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
67.0ms	(/ y (sqrt x))
32.0ms	(/ (/ 1.0 x) 9.0)
90.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify1.7s

Counts: 211 → 211

prune691.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

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)
0.4b	(/ (- (/ y 3.0)) (sqrt x))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

381×	`times-frac`
217×	`*-un-lft-identity`
212×	`add-sqr-sqrt` `add-cube-cbrt`
93×	`sqrt-prod`
91×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
43×	`associate-/l*`
20×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
8×	`add-log-exp`
7×	`neg-mul-1`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `distribute-frac-neg`
2×	`neg-sub0` `associate-+l+` `frac-2neg` `div-sub` `frac-add` `clear-num` `sum-log` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `associate-+r-` `sub-neg` `flip3--` `flip3-+` `diff-log` `unsub-neg` `flip--` `flip-+` `distribute-neg-frac` `distribute-lft-out--`

Counts

3 → 323

Calls

3 calls:

360.0ms	(+ (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (- (/ y 3.0)) (sqrt x)))
11.0ms	(/ (/ 1.0 x) 9.0)
26.0ms	(/ (- (/ y 3.0)) (sqrt x))

series178.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (- (/ y 3.0)) (sqrt x)))
27.0ms	(/ (/ 1.0 x) 9.0)
88.0ms	(/ (- (/ y 3.0)) (sqrt x))

simplify1.5s

Counts: 332 → 332

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

12.9% (0.2b remaining)

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

bsearch0.0ms

simplify832.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

942.0ms	8519×	body	80	valid
595.0ms	8505×	body	80	nan