Details

Time bar (total: 12.4s)

sample104.0ms

Algorithm
intervals
Results
22.0ms162×body160valid
17.0ms270×body80nan
17.0ms526×pre80true
9.0ms45×body320valid
3.0ms49×body80valid

simplify97.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
40.9b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite169.0ms

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
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 → 75
Calls
4 calls:
6.0ms
(- (* b b) (* (* 3.0 a) c))
13.0ms
(* (* 3.0 a) c)
99.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
50.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series386.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (* b b) (* (* 3.0 a) c))
37.0ms
(* (* 3.0 a) c)
176.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
97.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.0s

Counts
87 → 87
Iterations
IterNodes
done5000
22483
1428
0155

prune655.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.1b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune78.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.1b

localize28.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite57.0ms

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* 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 → 78
Calls
3 calls:
13.0ms
(/ (* a c) b)
17.0ms
(* -1.5 (/ (* a c) b))
22.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series111.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (* a c) b)
46.0ms
(* -1.5 (/ (* a c) b))
41.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts
87 → 87
Iterations
IterNodes
done5001
22789
1391
0123

prune514.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (* a c) b) a)
0.3b
(/ (* a c) b)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
10.0ms
(/ (/ (* a c) b) a)
7.0ms
(/ (* a c) b)

series60.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (/ (* a c) b) a)
44.0ms
(/ (* a c) b)

simplify1.1s

Counts
75 → 75
Iterations
IterNodes
done5000
21611
1306
0117

prune390.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.1b

regimes1.0s

Accuracy

12.4% (6.1b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 12.0b

bsearch64.0ms

Steps
ItersRangePoint
4
0.0021180202477300357
0.0032762771545866054
0.002154215776069303

simplify6.0ms

Iterations
IterNodes
done23
123
019

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.2s4824×body160valid
789.0ms8480×body80nan
602.0ms16480×pre80true
344.0ms1370×body320valid
226.0ms1806×body80valid