Details

Time bar (total: 17.1s)

sample192.0ms

Algorithm
intervals
Results
74.0ms127×body320valid
30.0ms497×pre80true
29.0ms241×body80nan
21.0ms89×body160valid
9.0ms15×body640valid
3.0ms25×body80valid

simplify116.0ms

Counts
1 → 1

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.6b

localize29.0ms

Local error

Found 4 expressions with local error:

26.8b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite187.0ms

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
89.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
61.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
26.0ms
(* (* 3 a) c)
10.0ms
(- (* b b) (* (* 3 a) c))

series396.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
173.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
129.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
54.0ms
(- (* b b) (* (* 3 a) c))
40.0ms
(* (* 3 a) c)

simplify2.3s

Counts
91 → 91

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

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

prune58.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.4b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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
24.0ms
(* -3/2 (/ (* a c) b))
21.0ms
(/ (* a c) b)
18.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series82.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
33.0ms
(* -3/2 (/ (* a c) b))
25.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
24.0ms
(/ (* a c) b)

simplify603.0ms

Counts
90 → 90

prune1.0s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.4b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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
23.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
15.0ms
(* -3/2 (/ a (/ b c)))
6.0ms
(/ a (/ b c))

series119.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
48.0ms
(/ a (/ b c))
44.0ms
(* -3/2 (/ a (/ b c)))
27.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))

simplify850.0ms

Counts
178 → 178

prune2.2s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.4b

regimes989.0ms

Accuracy

0% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
1.9s3609×body320valid
1.4s8015×body80nan
1.0s16015×pre80true
867.0ms2949×body160valid
335.0ms554×body640valid
104.0ms888×body80valid