Details

sample94.0ms

Algorithm

intervals

Results

15.0ms	110×	body	320	valid
14.0ms	305×	body	80	nan
12.0ms	561×	pre	80	true
11.0ms	32×	body	80	valid
9.0ms	95×	body	160	valid
4.0ms	19×	body	640	valid

simplify5.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(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))
24.0b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite137.0ms

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:

10.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms	(- (* b b) (* (* 4.0 a) c))
77.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
39.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
51.0ms	(- (* b b) (* (* 4.0 a) c))
115.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
89.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify44.0ms

Counts: 82 → 82

prune197.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite205.0ms

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:

9.0ms	(- (* b b) (* (* 4.0 a) c))
26.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
95.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
68.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* b b) (* (* 4.0 a) c))
86.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
164.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
204.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify106.0ms

Counts: 163 → 163

prune443.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 4.0 a) c))
0.1b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b	(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.4b	(/ (* 4.0 (* a c)) (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod` `add-log-exp`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `add-cube-cbrt` `div-exp`
4×	`sub-neg` `flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`diff-log` `associate-l`
2×	`distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `sqrt-prod` `associate-/r/`
1×	`associate--l-` `neg-sub0` `frac-2neg` `times-frac` `pow-prod-down` `neg-log` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

9.0ms	(- (* b b) (* (* 4.0 a) c))
26.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
87.0ms	(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
52.0ms	(/ (* 4.0 (* a c)) (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* b b) (* (* 4.0 a) c))
86.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
118.0ms	(* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
166.0ms	(/ (* 4.0 (* a c)) (* a (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify84.0ms

Counts: 97 → 97

prune258.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
92×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
55×	`add-exp-log`
34×	`div-exp`
28×	`associate-/r*`
23×	`add-cbrt-cube`
18×	`div-inv`
11×	`cbrt-undiv`
10×	`add-log-exp`
9×	`1-exp`
8×	`prod-exp`
5×	`pow1` `rec-exp`
4×	`associate-/l*`
3×	`flip3--` `diff-log` `flip--`
2×	`sub-neg` `frac-2neg` `associate-*r/` `clear-num` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `neg-sub0` `pow-flip` `distribute-rgt-neg-in` `neg-log` `sqrt-prod` `associate-/r/` `inv-pow`

Counts

4 → 189

Calls

4 calls:

9.0ms	(- (* b b) (* (* 4.0 a) c))
27.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
37.0ms	(/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c)
64.0ms	(/ 1 (/ (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c) 4.0))

series382.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* b b) (* (* 4.0 a) c))
88.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
102.0ms	(/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c)
138.0ms	(/ 1 (/ (/ (* 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) c) 4.0))

simplify108.0ms

Counts: 201 → 201

prune511.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.3s	3561×	body	320	valid
537.0ms	15944×	pre	80	true
529.0ms	7944×	body	80	nan
489.0ms	3035×	body	160	valid
95.0ms	482×	body	640	valid
49.0ms	922×	body	80	valid