Details

Time bar (total: 15.1s)

sample226.0ms

Algorithm
intervals
Results
60.0ms572×pre80true
51.0ms124×body320valid
41.0ms316×body80nan
25.0ms86×body160valid
9.0ms18×body640valid
4.0ms28×body80valid

simplify145.0ms

Counts
1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.1b

localize39.0ms

Local error

Found 4 expressions with local error:

25.7b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite177.0ms

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
80.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
63.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
19.0ms
(* (* 3 a) c)
13.0ms
(- (* b b) (* (* 3 a) c))

series379.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
149.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
117.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
77.0ms
(- (* b b) (* (* 3 a) c))
35.0ms
(* (* 3 a) c)

simplify2.4s

Counts
91 → 91

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.2b

localize9.0ms

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

prune41.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.2b

localize29.0ms

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)

rewrite78.0ms

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
44.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
23.0ms
(* -3/2 (/ (* a c) b))
9.0ms
(/ (* a c) b)

series95.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
38.0ms
(* -3/2 (/ (* a c) b))
29.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
27.0ms
(/ (* a c) b)

simplify907.0ms

Counts
90 → 90

prune838.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.2b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
24×prod-exp cbrt-unprod
13×pow1
9×cbrt-undiv div-exp
6×pow-prod-down
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-*r* associate-*l*
3×insert-posit16 add-log-exp
2×*-commutative
1×clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 70
Calls
3 calls:
Slowest
34.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))
26.0ms
(* -3/2 (* a c))
17.0ms
(* (* 3 a) b)

series106.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
37.0ms
(* (* 3 a) b)
36.0ms
(* -3/2 (* a c))
33.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify662.0ms

Counts
79 → 79

prune751.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.2b

regimes715.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.8b and baseline of 6.3b

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.0s3643×body320valid
1.2s8015×body80nan
1.0s16015×pre80true
988.0ms2928×body160valid
303.0ms498×body640valid
149.0ms931×body80valid