Details

sample80.0ms

Algorithm

intervals

Results

25.0ms	510×	pre	80	true
13.0ms	150×	body	160	valid
11.0ms	254×	body	80	nan
6.0ms	49×	body	320	valid
2.0ms	57×	body	80	valid

simplify81.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
39.7b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite191.0ms

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:

8.0ms	(- (* b b) (* (* 3.0 a) c))
92.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
44.0ms	(* (* 3.0 a) c)
44.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (* b b) (* (* 3.0 a) c))
161.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.0ms	(* (* 3.0 a) c)
115.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.0s

Counts: 85 → 85

prune282.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite957.0ms

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×	`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:

18.0ms	(* (* 3.0 a) c)
21.0ms	(* 3.0 (* a c))
458.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
446.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series521.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* 3.0 a) c)
28.0ms	(* 3.0 (* a c))
254.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
203.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.8s

Counts: 171 → 171

prune829.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
19×	`pow1`
11×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
9×	`cbrt-undiv` `div-exp` `pow-prod-down`
7×	`add-cube-cbrt`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-neg-in` `frac-2neg` `times-frac` `clear-num` `associate-/r` `sqrt-prod` `div-inv` `associate-/l`

Counts

4 → 97

Calls

4 calls:

37.0ms	(* (* 3.0 a) c)
31.0ms	(* 3.0 (* c a))
103.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
103.0ms	(/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* c a)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* 3.0 a) c)
37.0ms	(* 3.0 (* c a))
164.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
196.0ms	(/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* c a)))

simplify1.9s

Counts: 109 → 109

prune382.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
137×	`add-sqr-sqrt`
122×	`*-un-lft-identity`
117×	`add-exp-log`
77×	`add-cbrt-cube`
60×	`add-cube-cbrt`
56×	`associate-r`
48×	`div-exp`
41×	`prod-exp`
30×	`distribute-lft-out--` `difference-of-squares`
29×	`cbrt-undiv`
25×	`cbrt-unprod`
19×	`div-inv`
16×	`associate-l`
15×	`distribute-rgt-neg-in` `sqrt-prod`
11×	`pow1`
10×	`associate-/r*`
8×	`associate-/l*`
6×	`unswap-sqr`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down` `associate-/r/` `add-log-exp`
2×	`flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--`
1×	`frac-times` `associate-r/` `associate-l/` `associate-/l/`

Counts

4 → 241

Calls

4 calls:

29.0ms	(/ (* 3.0 (* a c)) a)
17.0ms	(* 3.0 (* a c))
84.0ms	(/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 c) a)))))
197.0ms	(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 c) a))))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* 3.0 (* a c)) a)
29.0ms	(* 3.0 (* a c))
241.0ms	(/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 c) a)))))
231.0ms	(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 c) a))))))

simplify652.0ms

Counts: 253 → 253

prune896.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes282.0ms

Accuracy

70.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify896.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.0s	8071×	body	80	nan
743.0ms	1383×	body	320	valid
724.0ms	4840×	body	160	valid
617.0ms	16071×	pre	80	true
136.0ms	1777×	body	80	valid