Details

Time bar (total: 16.4s)

sample138.0ms

Algorithm
intervals
Results
31.0ms150×body160valid
27.0ms523×pre80true
26.0ms267×body80nan
11.0ms106×body80valid

simplify125.0ms

Counts
1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize39.0ms

Local error

Found 4 expressions with local error:

30.2b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)

rewrite192.0ms

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
107.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
48.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
24.0ms
(* (* 3 a) c)
13.0ms
(- (* b b) (* (* 3 a) c))

series359.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
165.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
109.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
63.0ms
(- (* b b) (* (* 3 a) c))
23.0ms
(* (* 3 a) c)

simplify2.6s

Counts
91 → 91

prune1.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.4b

localize8.0ms

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

prune122.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.2b
(* -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
33.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
12.0ms
(* -3/2 (/ (* a c) b))
9.0ms
(/ (* a c) b)

series99.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
36.0ms
(/ (* a c) b)
33.0ms
(* -3/2 (/ (* a c) b))
29.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify568.0ms

Counts
90 → 90

prune1.3s

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
0.3b
(/ 1 (* 3 a))
0.2b
(* -3/2 (/ (* a c) b))
0.2b
(/ (* a c) b)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log
77×add-cbrt-cube
76×prod-exp
38×div-exp
34×cbrt-unprod
20×cbrt-undiv
15×add-sqr-sqrt
14×pow1 associate-*r*
13×*-un-lft-identity add-cube-cbrt
12×times-frac
10×rec-exp 1-exp
5×pow-prod-down
4×associate-/r* associate-*l* associate-*r/ insert-posit16 div-inv associate-/l* add-log-exp
2×clear-num frac-2neg *-commutative pow-flip
1×frac-times associate-*l/ un-div-inv inv-pow unswap-sqr
Counts
4 → 142
Calls
4 calls:
Slowest
62.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
13.0ms
(/ (* a c) b)
12.0ms
(* -3/2 (/ (* a c) b))
9.0ms
(/ 1 (* 3 a))

series137.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
38.0ms
(/ (* a c) b)
36.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
32.0ms
(* -3/2 (/ (* a c) b))
31.0ms
(/ 1 (* 3 a))

simplify785.0ms

Counts
154 → 154

prune1.8s

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.3b

regimes1.6s

Accuracy

43% (7.6b remaining)

Error of 16.8b against oracle of 9.2b and baseline of 22.6b

bsearch7.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.6s16694×pre80true
1.1s8694×body80nan
1.1s4492×body160valid
479.0ms3508×body80valid