Details

Time bar (total: 15.4s)

sample103.0ms

Algorithm
intervals
Results
33.0ms149×body160valid
22.0ms519×pre80true
19.0ms263×body80nan
8.0ms107×body80valid

simplify151.0ms

Counts
1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize44.0ms

Local error

Found 4 expressions with local error:

28.6b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite156.0ms

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
78.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
35.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
26.0ms
(* (* 3 a) c)
14.0ms
(- (* b b) (* (* 3 a) c))

series365.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
156.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
120.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
66.0ms
(- (* b b) (* (* 3 a) c))
23.0ms
(* (* 3 a) c)

simplify2.2s

Counts
91 → 91

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.5b

localize6.0ms

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

prune93.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.5b

localize13.0ms

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)

rewrite61.0ms

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
25.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* a c) b)
16.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series106.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
38.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
33.0ms
(/ (* a c) b)

simplify544.0ms

Counts
90 → 90

prune883.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.4b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
44×associate-*r*
20×cbrt-undiv div-exp
14×associate-/r*
13×prod-exp cbrt-unprod
10×div-inv
5×pow1
4×associate-/l*
3×associate-*l* insert-posit16 add-log-exp unswap-sqr
2×clear-num frac-2neg associate-*r/ associate-/r/
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 169
Calls
3 calls:
Slowest
18.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
12.0ms
(* -3/2 (/ a (/ b c)))
10.0ms
(/ a (/ b c))

series112.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
45.0ms
(/ a (/ b c))
38.0ms
(* -3/2 (/ a (/ b c)))
29.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))

simplify1.1s

Counts
178 → 178

prune1.5s

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 9.3b

regimes1.5s

Accuracy

46% (7.3b remaining)

Error of 16.5b against oracle of 9.1b and baseline of 22.7b

bsearch13.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.3s8368×body80nan
1.1s4504×body160valid
1.1s16368×pre80true
536.0ms3496×body80valid