Details

sample118.0ms

Algorithm

intervals

Results

24.0ms	534×	pre	80	true
21.0ms	152×	body	160	valid
20.0ms	278×	body	80	nan
8.0ms	39×	body	320	valid
6.0ms	65×	body	80	valid

simplify83.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.2b

localize27.0ms

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))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
36.8b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite230.0ms

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:

20.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms	(- (* b b) (* (* 4.0 a) c))
106.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
84.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
78.0ms	(- (* b b) (* (* 4.0 a) c))
151.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
123.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify751.0ms

Counts: 82 → 82

prune358.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

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))
0.3b	(/ (/ (+ 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)))))

rewrite265.0ms

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:

26.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
11.0ms	(- (* b b) (* (* 4.0 a) c))
108.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
107.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
90.0ms	(- (* b b) (* (* 4.0 a) c))
238.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
270.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify1.8s

Counts: 163 → 163

prune579.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b	(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.1b	(- (* b b) (* (* 4.0 a) c))
0.4b	(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

45.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
90.0ms	(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
11.0ms	(- (* b b) (* (* 4.0 a) c))
81.0ms	(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series552.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
147.0ms	(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
60.0ms	(- (* b b) (* (* 4.0 a) c))
227.0ms	(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify2.2s

Counts: 97 → 97

prune412.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

448×	`times-frac`
266×	`add-sqr-sqrt` `*-un-lft-identity`
158×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
38×	`add-exp-log` `add-cbrt-cube` `div-inv`
32×	`associate-/l*`
27×	`distribute-rgt-neg-in` `sqrt-prod`
19×	`cbrt-undiv` `div-exp`
10×	`associate-/r*` `add-log-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1`
3×	`flip3--` `diff-log` `flip--`
2×	`sub-neg` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/`
1×	`associate--l-` `neg-sub0` `neg-log`

Counts

4 → 310

Calls

4 calls:

20.0ms	(/ (/ (* 4.0 (* a c)) 2.0) a)
111.0ms	(/ (/ (/ (* 4.0 (* a c)) 2.0) a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
59.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
16.0ms	(- (* b b) (* (* 4.0 a) c))

series394.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (/ (* 4.0 (* a c)) 2.0) a)
198.0ms	(/ (/ (/ (* 4.0 (* a c)) 2.0) a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
112.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
71.0ms	(- (* b b) (* (* 4.0 a) c))

simplify783.0ms

Counts: 322 → 322

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify113.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	4874×	body	160	valid
712.0ms	16128×	pre	80	true
674.0ms	8128×	body	80	nan
395.0ms	1334×	body	320	valid
134.0ms	1792×	body	80	valid