Details

sample406.0ms

Algorithm

intervals

Results

163.0ms	86×	body	160	valid
53.0ms	523×	pre	80	true
35.0ms	116×	body	320	valid
27.0ms	267×	body	80	nan
14.0ms	22×	body	640	valid
3.0ms	32×	body	80	valid

simplify95.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.1b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
24.1b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

19.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
19.0ms	(- (* b b) (* (* 4.0 a) c))
125.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
52.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series931.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
110.0ms	(- (* b b) (* (* 4.0 a) c))
551.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
177.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify808.0ms

Counts: 82 → 82

prune318.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.2b	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
38×	`add-cube-cbrt`
30×	`associate-/l*`
22×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-neg-in` `sqrt-prod`
10×	`add-log-exp`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
5×	`flip3--` `flip--`
4×	`pow1` `div-inv`
3×	`diff-log` `associate-/l/`
2×	`sub-neg` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`associate--l-` `neg-sub0` `flip3-+` `neg-log` `flip-+`

Counts

4 → 151

Calls

4 calls:

41.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms	(- (* b b) (* (* 4.0 a) c))
98.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
133.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

series665.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
58.0ms	(- (* b b) (* (* 4.0 a) c))
266.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
214.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify2.1s

Counts: 163 → 163

prune640.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 4.0 a) c))
0.2b	(/ (* 2.0 a) (* 4.0 (* a c)))
0.3b	(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
0.3b	(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite403.0ms

Algorithm

rewrite-expression-head

Rules

312×	`add-exp-log`
142×	`div-exp`
138×	`add-cbrt-cube`
137×	`prod-exp`
57×	`cbrt-unprod`
48×	`cbrt-undiv`
40×	`1-exp`
33×	`times-frac`
26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`rec-exp`
14×	`associate-/l*`
7×	`associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3--` `associate-l` `associate-/r/` `flip--` `div-inv`
4×	`frac-times` `associate-*r/`
3×	`sub-neg`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-l/` `clear-num` `associate-/r` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-neg-in` `diff-log` `pow-prod-down` `sqrt-prod` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

4 → 197

Calls

4 calls:

11.0ms	(- (* b b) (* (* 4.0 a) c))
23.0ms	(/ (* 2.0 a) (* 4.0 (* a c)))
102.0ms	(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
240.0ms	(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* b b) (* (* 4.0 a) c))
13.0ms	(/ (* 2.0 a) (* 4.0 (* a c)))
211.0ms	(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
138.0ms	(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify645.0ms

Counts: 209 → 209

prune515.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b	(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
0.1b	(- (* b b) (* (* 4.0 a) c))
0.3b	(/ (/ 1 1) (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

127×	`add-exp-log`
84×	`div-exp`
52×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
47×	`add-cbrt-cube`
30×	`add-cube-cbrt`
28×	`prod-exp`
25×	`1-exp`
24×	`cbrt-undiv`
20×	`associate-/l*`
10×	`rec-exp` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
8×	`cbrt-unprod`
5×	`distribute-rgt-neg-in` `sqrt-prod`
4×	`pow1` `associate-/r*` `div-inv`
3×	`flip3--` `diff-log` `associate-/r/` `flip--` `associate-/l/`
2×	`sub-neg` `frac-2neg` `clear-num`
1×	`associate--l-` `neg-sub0` `frac-times` `div-sub` `associate-r/` `neg-log` `associate-l/`

Counts

4 → 162

Calls

4 calls:

27.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
115.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
9.0ms	(- (* b b) (* (* 4.0 a) c))
71.0ms	(/ (/ 1 1) (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
125.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)
71.0ms	(- (* b b) (* (* 4.0 a) c))
176.0ms	(/ (/ 1 1) (* (/ 2.0 4.0) (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) c)))

simplify1.7s

Counts: 174 → 174

prune467.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

76.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.3s

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.5s	3637×	body	320	valid
1.1s	8242×	body	80	nan
612.0ms	16242×	pre	80	true
519.0ms	2881×	body	160	valid
146.0ms	524×	body	640	valid
65.0ms	958×	body	80	valid