Details

sample97.0ms

Algorithm

intervals

Results

21.0ms	544×	pre	80	true
17.0ms	288×	body	80	nan
17.0ms	136×	body	160	valid
7.0ms	120×	body	80	valid

simplify81.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 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))))

rewrite208.0ms

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:

22.0ms	(* (* 3.0 a) c)
8.0ms	(- (* b b) (* (* 3.0 a) c))
100.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
73.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* 3.0 a) c)
89.0ms	(- (* b b) (* (* 3.0 a) c))
144.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
132.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.0s

Counts: 85 → 85

prune298.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* 3.0 (* a c))
0.3b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
0.4b	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite885.0ms

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×	`div-sub` `associate-l` `pow-prod-down` `associate-/l/`
2×	`associate-+l-` `frac-2neg` `clear-num`
1×	`sub-neg` `flip3-+` `diff-log` `associate-r` `*-commutative` `flip-+`

Counts

4 → 153

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(* 3.0 (* a c))
448.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
396.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series563.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* b b) (* (* 3.0 a) c))
39.0ms	(* 3.0 (* a c))
200.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
255.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.9s

Counts: 165 → 165

prune661.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

624×	`times-frac`
363×	`add-sqr-sqrt` `*-un-lft-identity`
167×	`add-cube-cbrt`
155×	`distribute-rgt-neg-in`
106×	`distribute-lft-neg-in` `neg-mul-1`
98×	`distribute-lft-out--` `difference-of-squares`
54×	`associate-/l*`
49×	`sqrt-prod`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
13×	`associate-/r*`
9×	`pow1` `flip3--` `flip--` `div-inv`
6×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `distribute-frac-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`neg-sub0` `frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 460

Calls

4 calls:

37.0ms	(* (* 3.0 a) c)
16.0ms	(- (* b b) (* (* 3.0 a) c))
132.0ms	(/ (/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (* 3.0 a)))
89.0ms	(/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series713.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* 3.0 a) c)
82.0ms	(- (* b b) (* (* 3.0 a) c))
268.0ms	(/ (/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (* 3.0 a)))
320.0ms	(/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.0s

Counts: 472 → 472

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
14.0ms	(- (* b b) (* (* 3.0 a) c))
69.0ms	(/ (* (* 3.0 a) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (- (* 3.0 a)))
154.0ms	(* (* 3.0 a) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series632.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* 3.0 a) c)
51.0ms	(- (* b b) (* (* 3.0 a) c))
236.0ms	(/ (* (* 3.0 a) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (- (* 3.0 a)))
321.0ms	(* (* 3.0 a) (/ (- c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify608.0ms

Counts: 174 → 174

prune608.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes240.0ms

Accuracy

21.6% (0.2b remaining)

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

bsearch0.0ms

simplify1.4s

end0.0ms

sample3.7s

Algorithm

intervals

Results

855.0ms	16420×	pre	80	true
776.0ms	3591×	body	80	valid
663.0ms	8420×	body	80	nan
626.0ms	4409×	body	160	valid