Details

Time bar (total: 13.9s)

sample135.0ms

Algorithm
intervals
Results
57.0ms151×body160valid
21.0ms524×pre80true
20.0ms268×body80nan
11.0ms47×body320valid
5.0ms58×body80valid

simplify134.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize31.0ms

Local error

Found 4 expressions with local error:

39.7b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(* (* 3 a) c)
0.1b
(- (* b b) (* (* 3 a) c))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
Slowest
63.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
52.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
26.0ms
(* (* 3 a) c)
14.0ms
(- (* b b) (* (* 3 a) c))

series364.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
140.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
113.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
75.0ms
(- (* b b) (* (* 3 a) c))
36.0ms
(* (* 3 a) c)

simplify2.4s

Counts
91 → 91

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

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

prune36.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.8b

localize28.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b
(* -3/2 (/ (* a c) b))
0.2b
(/ (* a c) b)

rewrite56.0ms

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
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
Slowest
30.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
12.0ms
(* -3/2 (/ (* a c) b))
11.0ms
(/ (* a c) b)

series87.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
30.0ms
(* -3/2 (/ (* a c) b))
29.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
28.0ms
(/ (* a c) b)

simplify621.0ms

Counts
90 → 90

prune818.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 4.7b

localize14.0ms

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))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
21×prod-exp cbrt-unprod
17×add-sqr-sqrt
14×associate-*r*
12×cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
11×times-frac
10×pow1
6×associate-*l*
5×associate-*r/
4×pow-prod-down
3×insert-posit16 add-log-exp
2×*-commutative div-inv unswap-sqr
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Counts
3 → 86
Calls
3 calls:
Slowest
32.0ms
(/ (* -3/2 (* a (/ c b))) (* 3 a))
23.0ms
(* -3/2 (* a (/ c b)))
10.0ms
(* a (/ c b))

series104.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
46.0ms
(* -3/2 (* a (/ c b)))
34.0ms
(* a (/ c b))
24.0ms
(/ (* -3/2 (* a (/ c b))) (* 3 a))

simplify639.0ms

Counts
95 → 95

prune827.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.7b

regimes972.0ms

Accuracy

-13.5% (7.9b remaining)

Error of 13.1b against oracle of 5.3b and baseline of 12.2b

bsearch38.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.6s4806×body160valid
1.3s8189×body80nan
1.0s16189×pre80true
442.0ms1372×body320valid
226.0ms1822×body80valid