Details

Time bar (total: 12.0s)

sample190.0ms

Algorithm
intervals
Results
36.0ms152×body160valid
32.0ms532×pre80true
32.0ms276×body80nan
16.0ms43×body320valid
7.0ms61×body80valid

simplify141.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.6b

localize25.0ms

Local error

Found 4 expressions with local error:

37.9b
(- (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))

rewrite159.0ms

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
70.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
46.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
27.0ms
(* (* 3 a) c)
15.0ms
(- (* b b) (* (* 3 a) c))

series334.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
121.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
59.0ms
(- (* b b) (* (* 3 a) c))
25.0ms
(* (* 3 a) c)

simplify507.0ms

Counts
104 → 91

prune975.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.1b

localize11.0ms

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

prune48.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

localize15.0ms

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)

rewrite49.0ms

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
18.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
12.0ms
(* -3/2 (/ (* a c) b))
12.0ms
(/ (* a c) b)

series97.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
40.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* a c) b)
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify657.0ms

Counts
96 → 90

prune1.2s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
16×times-frac prod-exp cbrt-unprod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×pow1 associate-/l*
4×associate-/r* div-inv
3×associate-*l* pow-prod-down insert-posit16 add-log-exp
2×clear-num frac-2neg
1×associate-*r* *-commutative associate-/l/
Counts
3 → 86
Calls
3 calls:
Slowest
22.0ms
(* -3/2 (* a c))
21.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
19.0ms
(/ (* -3/2 (* a c)) b)

series110.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
48.0ms
(/ (* -3/2 (* a c)) b)
37.0ms
(* -3/2 (* a c))
25.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))

simplify534.0ms

Counts
106 → 95

prune738.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.1b

regimes774.0ms

Accuracy

12.5% (5.9b remaining)

Error of 11.0b against oracle of 5.2b and baseline of 11.8b

bsearch17.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.8s4874×body160valid
1.1s16087×pre80true
916.0ms8087×body80nan
538.0ms1367×body320valid
303.0ms1759×body80valid