Details

Time bar (total: 14.0s)

sample128.0ms

Algorithm
intervals
Results
38.0ms262×body80nan
28.0ms122×body320valid
20.0ms518×pre80true
14.0ms88×body160valid
5.0ms17×body640valid
2.0ms29×body80valid

simplify101.0ms

Counts
1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.3b

localize24.0ms

Local error

Found 4 expressions with local error:

23.7b
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
0.3b
(* (* 3 a) c)
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt fma-def add-cube-cbrt add-log-exp
pow1
distribute-rgt-neg-in distribute-lft-out
times-frac associate-/l*
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
distribute-lft-neg-in associate-*r* pow-prod-down
neg-sub0 cbrt-undiv sum-log flip3-+ div-exp associate-+l- flip-+ associate-/l/
+-commutative clear-num associate-/r* neg-mul-1 sub-neg frac-2neg flip3-- fma-neg diff-log div-sub associate-*l* prod-diff neg-log *-commutative div-inv flip--
Counts
4 → 97
Calls
4 calls:
Slowest
71.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
14.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
14.0ms
(* (* 3 a) c)
8.0ms
(- (* b b) (* (* 3 a) c))

series388.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
163.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
120.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
66.0ms
(- (* b b) (* (* 3 a) c))
39.0ms
(* (* 3 a) c)

simplify616.0ms

Counts
109 → 109

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

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

prune58.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize27.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ (* a c) b)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 87
Calls
3 calls:
Slowest
24.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
13.0ms
(/ (* a c) b)
12.0ms
(* -3/2 (/ (* a c) b))

series113.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
46.0ms
(/ (* a c) b)
33.0ms
(* -3/2 (/ (* a c) b))
33.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify547.0ms

Counts
96 → 96

prune1.0s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1/3 a)
0.3b
(* (* -3/2 (/ (* a c) b)) (/ 1/3 a))
0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ (* a c) b)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
52×add-cbrt-cube add-exp-log
26×add-sqr-sqrt
24×*-un-lft-identity times-frac add-cube-cbrt
21×prod-exp cbrt-unprod
20×associate-*r*
13×cbrt-undiv div-exp
11×pow1
associate-/r*
expm1-log1p-u associate-*l* pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
clear-num frac-2neg *-commutative
frac-times associate-*l/ unswap-sqr
Counts
4 → 130
Calls
4 calls:
Slowest
56.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1/3 a))
26.0ms
(* -3/2 (/ (* a c) b))
18.0ms
(/ (* a c) b)
8.0ms
(/ 1/3 a)

series146.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
42.0ms
(* -3/2 (/ (* a c) b))
37.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1/3 a))
35.0ms
(/ (* a c) b)
32.0ms
(/ 1/3 a)

simplify688.0ms

Counts
142 → 142

prune1.2s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

regimes698.0ms

Accuracy

15% (3.0b remaining)

Error of 5.7b against oracle of 2.7b and baseline of 6.2b

bsearch11.0ms

end0.0ms

sample6.5s

Algorithm
intervals
Results
1.9s8245×body80nan
1.6s3629×body320valid
1.1s16245×pre80true
839.0ms2922×body160valid
320.0ms529×body640valid
195.0ms920×body80valid