Details

sample117.0ms

Algorithm

intervals

Results

30.0ms	252×	body	80	nan
24.0ms	143×	body	160	valid
19.0ms	508×	pre	80	true
9.0ms	113×	body	80	valid

simplify4.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

36.0ms	(* (* 3.0 a) c)
17.0ms	(- (* b b) (* (* 3.0 a) c))
122.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
87.0ms	(- (* b b) (* (* 3.0 a) c))
161.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
108.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify65.0ms

Counts: 85 → 85

prune276.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(* 3.0 (* a c))
0.4b	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

61.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
9.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(* 3.0 (* a c))
160.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series603.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
62.0ms	(- (* b b) (* (* 3.0 a) c))
32.0ms	(* 3.0 (* a c))
211.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify148.0ms

Counts: 163 → 163

prune598.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))
0.4b	(/ (* 1 (/ 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))) (* 3.0 a))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-exp-log`
69×	`times-frac`
63×	`add-cbrt-cube`
50×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`div-exp`
31×	`prod-exp`
27×	`cbrt-undiv`
26×	`add-cube-cbrt`
17×	`cbrt-unprod`
13×	`associate-/r*`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/l*`
8×	`1-exp`
7×	`div-inv`
6×	`distribute-rgt-neg-in` `sqrt-prod` `add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/l/`
2×	`flip3--` `flip--`
1×	`sub-neg` `diff-log` `div-sub` `associate-*r/` `associate-/r/`

Counts

4 → 150

Calls

4 calls:

68.0ms	(/ 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
12.0ms	(- (* b b) (* (* 3.0 a) c))
90.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))
48.0ms	(/ (* 1 (/ 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))) (* 3.0 a))

series670.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(/ 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
56.0ms	(- (* b b) (* (* 3.0 a) c))
137.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))
226.0ms	(/ (* 1 (/ 3.0 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))) (* 3.0 a))

simplify148.0ms

Counts: 162 → 162

prune571.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(/ 3.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) c))
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (* 1 (/ 3.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) c))) (* 3.0 a))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

790×	`times-frac`
465×	`add-sqr-sqrt` `*-un-lft-identity`
321×	`add-cube-cbrt`
95×	`add-exp-log`
80×	`associate-/r*`
72×	`distribute-lft-out--` `difference-of-squares`
63×	`add-cbrt-cube`
48×	`div-exp`
36×	`distribute-rgt-neg-in` `sqrt-prod`
28×	`cbrt-undiv` `prod-exp`
18×	`div-inv`
16×	`cbrt-unprod`
9×	`pow1`
8×	`1-exp`
6×	`add-log-exp`
4×	`associate-/l*`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `associate-r/` `associate-l` `associate-/r/` `-commutative` `flip--` `associate-/l/`

Counts

4 → 408

Calls

4 calls:

31.0ms	(* (* 3.0 a) c)
88.0ms	(/ 3.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) c))
8.0ms	(- (* b b) (* (* 3.0 a) c))
88.0ms	(/ (* 1 (/ 3.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) c))) (* 3.0 a))

series579.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* 3.0 a) c)
237.0ms	(/ 3.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) c))
99.0ms	(- (* b b) (* (* 3.0 a) c))
219.0ms	(/ (* 1 (/ 3.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) a) c))) (* 3.0 a))

simplify117.0ms

Counts: 420 → 420

prune1.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes251.0ms

Accuracy

20.4% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify59.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	4482×	body	160	valid
691.0ms	16601×	pre	80	true
650.0ms	8601×	body	80	nan
306.0ms	3518×	body	80	valid