Details

Time bar (total: 15.3s)

sample117.0ms

Algorithm
intervals
Results
36.0ms269×body80nan
25.0ms129×body160valid
23.0ms525×pre80true
12.0ms127×body80valid

simplify79.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.3b
(- (* b b) (* (* c a) 4))
26.2b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))
73.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
12.0ms
(- (* b b) (* (* c a) 4))
32.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series356.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(sqrt (- (* b b) (* (* c a) 4)))
110.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
62.0ms
(- (* b b) (* (* c a) 4))
83.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
33579
21094
1400
0161

prune1.3s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.2b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune105.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 10.2b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
9.0ms
(/ (* a c) b)
26.0ms
(/ (* -2 (/ (* a c) b)) a)

series54.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* a c) b)
27.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify2.3s

Counts
55 → 55
Iterations
IterNodes
36523
21062
1265
099

prune493.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 10.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ (/ 1 c) -2) b)
0.3b
(/ 1 (* (/ (/ 1 c) -2) b))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
71×add-exp-log
52×add-sqr-sqrt
43×associate-*l*
41×*-un-lft-identity
40×add-cube-cbrt
36×div-exp
25×add-cbrt-cube
20×prod-exp
10×cbrt-undiv rec-exp 1-exp
7×pow1
6×cbrt-unprod
5×div-inv
4×unswap-sqr
3×associate-*r* associate-/l*
2×pow-prod-down associate-*l/ insert-posit16 pow-flip add-log-exp
1×clear-num associate-/r* frac-2neg associate-/r/ *-commutative inv-pow
Counts
2 → 113
Calls
2 calls:
26.0ms
(* (/ (/ 1 c) -2) b)
25.0ms
(/ 1 (* (/ (/ 1 c) -2) b))

series45.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (/ (/ 1 c) -2) b)
20.0ms
(/ 1 (* (/ (/ 1 c) -2) b))

simplify2.0s

Counts
119 → 119
Iterations
IterNodes
33562
21057
1481
0198

prune825.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 10.0b

regimes960.0ms

Accuracy

44.4% (7.5b remaining)

Error of 16.6b against oracle of 9.1b and baseline of 22.5b

bsearch27.0ms

Steps
ItersRangePoint
1
105.91878804894776
111.55246949000541
107.32720840921216

simplify11.0ms

Iterations
IterNodes
235
135
026

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.9s4494×body160valid
1.3s8691×body80nan
1.0s16691×pre80true
474.0ms3506×body80valid