Details

sample129.0ms

Algorithm

intervals

Results

30.0ms	112×	body	160	valid
24.0ms	103×	body	320	valid
19.0ms	253×	body	80	nan
17.0ms	509×	pre	80	true
4.0ms	14×	body	640	valid
2.0ms	27×	body	80	valid

simplify80.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite200.0ms

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:

17.0ms	(- (* b b) (* (* 3.0 a) c))
37.0ms	(* (* 3.0 a) c)
111.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
30.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* b b) (* (* 3.0 a) c))
35.0ms	(* (* 3.0 a) c)
155.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
130.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify953.0ms

Counts: 85 → 85

prune293.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* 3.0 (* a c))
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

31.0ms	(* (* 3.0 a) c)
452.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
24.0ms	(* 3.0 (* a c))
477.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series512.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* 3.0 a) c)
290.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
23.0ms	(* 3.0 (* a c))
175.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.9s

Counts: 171 → 171

prune661.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite938.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

34.0ms	(* (* 3.0 a) c)
36.0ms	(* (* 3.0 a) c)
426.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
433.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series509.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* 3.0 a) c)
35.0ms	(* (* 3.0 a) c)
270.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
162.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.7s

Counts: 171 → 171

prune589.0ms

Pruning

8 alts after pruning (7 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 (* a c)) 3.0)
0.3b	(* 3.0 (* a c))
0.3b	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
119×	`add-sqr-sqrt`
113×	`add-exp-log`
108×	`*-un-lft-identity`
89×	`associate-r`
77×	`add-cbrt-cube`
71×	`add-cube-cbrt`
44×	`prod-exp`
42×	`div-exp`
30×	`cbrt-unprod`
24×	`cbrt-undiv`
18×	`distribute-lft-out--` `difference-of-squares`
16×	`pow1`
11×	`associate-l`
9×	`distribute-rgt-neg-in` `sqrt-prod`
7×	`pow-prod-down`
6×	`associate-/r/` `div-inv`
4×	`rec-exp` `1-exp` `add-log-exp` `unswap-sqr`
3×	`flip3--` `associate-/r` `-commutative` `flip--`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
21.0ms	(/ (* 3.0 (* a c)) 3.0)
26.0ms	(* 3.0 (* a c))
295.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series326.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* 3.0 a) c)
47.0ms	(/ (* 3.0 (* a c)) 3.0)
33.0ms	(* 3.0 (* a c))
209.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify606.0ms

Counts: 211 → 211

prune696.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes226.0ms

Accuracy

84.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.7s

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.2s	7898×	body	80	nan
985.0ms	3597×	body	320	valid
970.0ms	2925×	body	160	valid
668.0ms	15898×	pre	80	true
197.0ms	515×	body	640	valid
70.0ms	963×	body	80	valid