Details

sample148.0ms

Algorithm

intervals

Results

39.0ms	213×	body	80	nan
29.0ms	119×	body	320	valid
17.0ms	469×	pre	80	true
16.0ms	98×	body	160	valid
3.0ms	11×	body	640	valid
2.0ms	28×	body	80	valid

simplify113.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
28.7b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite181.0ms

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))
98.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
49.0ms	(* (* 3.0 a) c)
22.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* b b) (* (* 3.0 a) c))
152.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.0ms	(* (* 3.0 a) c)
112.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify969.0ms

Counts: 85 → 85

prune288.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

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)
0.3b	(* 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))

rewrite962.0ms

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:

413.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
34.0ms	(* (* 3.0 a) c)
32.0ms	(* 3.0 (* a c))
468.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series544.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
30.0ms	(* (* 3.0 a) c)
34.0ms	(* 3.0 (* a c))
217.0ms	(/ (/ (+ (- (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

prune746.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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)
0.3b	(* (* 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))

rewrite996.0ms

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:

412.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
35.0ms	(* (* 3.0 a) c)
19.0ms	(* (* 3.0 a) c)
516.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series538.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
38.0ms	(* (* 3.0 a) c)
37.0ms	(* (* 3.0 a) c)
229.0ms	(/ (/ (+ (- (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

prune653.0ms

Pruning

6 alts after pruning (6 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 a) c)
0.3b	(* (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
0.3b	(/ 1 (* 3.0 a))

rewrite605.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log`
40×	`add-cbrt-cube`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`associate-l` `prod-exp`
28×	`times-frac`
21×	`add-cube-cbrt`
19×	`pow1` `div-exp`
15×	`cbrt-unprod`
13×	`associate-r`
9×	`cbrt-undiv`
8×	`pow-prod-down`
6×	`rec-exp` `1-exp` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`distribute-rgt-neg-in` `sqrt-prod` `-commutative` `div-inv` `associate-/l`
2×	`pow-flip` `associate-/r/` `unswap-sqr`
1×	`frac-times` `flip3--` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 133

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
30.0ms	(* (* 3.0 a) c)
539.0ms	(* (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
12.0ms	(/ 1 (* 3.0 a))

series303.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* 3.0 a) c)
28.0ms	(* (* 3.0 a) c)
207.0ms	(* (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
33.0ms	(/ 1 (* 3.0 a))

simplify1.5s

Counts: 145 → 145

prune518.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes208.0ms

Accuracy

86.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify495.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	3651×	body	320	valid
733.0ms	16038×	pre	80	true
666.0ms	8038×	body	80	nan
396.0ms	2953×	body	160	valid
160.0ms	487×	body	640	valid
123.0ms	909×	body	80	valid