Details

Time bar (total: 14.9s)

sample461.0ms

Algorithm
intervals
Results
56.0ms109×body320valid
40.0ms241×body80nan
38.0ms37×body80valid
37.0ms497×pre80true
35.0ms93×body160valid
10.0ms17×body640valid

simplify179.0ms

Counts
1 → 1

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.3b

localize58.0ms

Local error

Found 4 expressions with local error:

26.3b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.1b
(- (* b b) (* (* c a) 4))
0.0b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Counts
4 → 76
Calls
4 calls:
Slowest
75.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
49.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
14.0ms
(- (* b b) (* (* c a) 4))
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
146.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
102.0ms
(sqrt (- (* b b) (* (* c a) 4)))
50.0ms
(- (* b b) (* (* c a) 4))

simplify1.8s

Counts
88 → 88

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.8b

localize12.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify1.0ms

Counts
0 → 0

prune59.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* -2 (/ (* a c) b)) (* 2 a))
0.2b
(/ (* a c) b)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
Slowest
31.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
17.0ms
(/ (* a c) b)

series67.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
25.0ms
(/ (* a c) b)

simplify587.0ms

Counts
59 → 59

prune680.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (* a c) (/ 1 b))
0.3b
(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
120×add-exp-log
70×add-cbrt-cube
64×prod-exp
34×cbrt-unprod
32×div-exp
18×cbrt-undiv
13×associate-*r*
10×times-frac
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow1
6×rec-exp 1-exp
4×associate-*r/
3×pow-prod-down
2×un-div-inv insert-posit16 div-inv add-log-exp associate-/l/
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l*
Counts
2 → 87
Calls
2 calls:
Slowest
66.0ms
(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))
20.0ms
(* (* a c) (/ 1 b))

series59.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
35.0ms
(* (* a c) (/ 1 b))
24.0ms
(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))

simplify957.0ms

Counts
93 → 93

prune822.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.8b

regimes626.0ms

Accuracy

0% (3.7b remaining)

Error of 6.5b against oracle of 2.7b and baseline of 6.5b

bsearch1.0ms

end0.0ms

sample6.4s

Algorithm
intervals
Results
1.7s3637×body320valid
1.3s8224×body80nan
1.1s16224×pre80true
793.0ms2918×body160valid
604.0ms483×body640valid
509.0ms962×body80valid