Details

Time bar (total: 16.9s)

sample340.0ms

Algorithm
intervals
Results
66.0ms109×body320valid
30.0ms241×body80nan
26.0ms497×pre80true
24.0ms93×body160valid
8.0ms17×body640valid
5.0ms37×body80valid

simplify116.0ms

Counts
1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.3b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×fma-neg
5×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 187
Calls
4 calls:
Slowest
107.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) 2) a)
82.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
20.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
17.0ms
(- (* b b) (* (* 4 a) c))

series512.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
160.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) 2) a)
154.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
115.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
82.0ms
(- (* b b) (* (* 4 a) c))

simplify930.0ms

Counts
199 → 199

prune3.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.8b

localize15.0ms

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

simplify0.0ms

Counts
0 → 0

prune87.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.8b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 79
Calls
2 calls:
Slowest
37.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)
19.0ms
(/ (* a c) b)

series72.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
37.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)
34.0ms
(/ (* a c) b)

simplify541.0ms

Counts
85 → 85

prune1.1s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.7b

localize47.0ms

Local error

Found 2 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
47×add-cbrt-cube
42×times-frac
33×prod-exp
29×div-exp
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×cbrt-undiv cbrt-unprod
13×associate-*r*
7×pow1 associate-/l*
6×div-inv
4×rec-exp 1-exp
3×associate-/r* pow-prod-down
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg associate-*l* associate-*r/ un-div-inv *-commutative associate-/l/
Counts
2 → 104
Calls
2 calls:
Slowest
78.0ms
(/ (/ (* -2 (* (* a c) (/ 1 b))) 2) a)
38.0ms
(* (* a c) (/ 1 b))

series48.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
25.0ms
(/ (/ (* -2 (* (* a c) (/ 1 b))) 2) a)
23.0ms
(* (* a c) (/ 1 b))

simplify763.0ms

Counts
110 → 110

prune1.2s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.7b

regimes699.0ms

Accuracy

0% (3.8b remaining)

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

bsearch2.0ms

end0.0ms

sample6.9s

Algorithm
intervals
Results
2.6s3637×body320valid
1.2s16224×pre80true
1.1s8224×body80nan
909.0ms2918×body160valid
328.0ms483×body640valid
138.0ms962×body80valid