Details

Time bar (total: 13.2s)

sample81.0ms

Algorithm
intervals
Results
30.0ms511×pre80true
15.0ms158×body160valid
12.0ms255×body80nan
5.0ms98×body80valid

simplify55.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.5b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite164.0ms

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))
23.0ms
(* (* 3.0 a) c)
84.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
49.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series364.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (* b b) (* (* 3.0 a) c))
34.0ms
(* (* 3.0 a) c)
166.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
100.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.9s

Counts
87 → 87
Iterations
IterNodes
done5000
22483
1428
0155

prune529.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.8b

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

prune104.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.8b

localize24.0ms

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))

rewrite60.0ms

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:
15.0ms
(/ (* a c) b)
17.0ms
(* -1.5 (/ (* a c) b))
24.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series106.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (* a c) b)
43.0ms
(* -1.5 (/ (* a c) b))
27.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.9s

Counts
87 → 87
Iterations
IterNodes
done5001
22789
1391
0123

prune526.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.7b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
55×add-cbrt-cube add-exp-log
23×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
13×associate-*r*
10×times-frac
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow1
3×pow-prod-down
2×associate-*r/ div-inv add-log-exp
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l* associate-/l/
Counts
2 → 67
Calls
2 calls:
24.0ms
(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))
41.0ms
(* (* -1.5 a) (/ c b))

series73.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))
38.0ms
(* (* -1.5 a) (/ c b))

simplify2.5s

Counts
73 → 73
Iterations
IterNodes
done5001
23729
1441
0129

prune330.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.7b

regimes1.2s

Accuracy

45.8% (7.4b remaining)

Error of 16.4b against oracle of 9.0b and baseline of 22.7b

bsearch28.0ms

Steps
ItersRangePoint
2
242.57376402414687
277.0014588549693
245.56463469956407

simplify3.0ms

Iterations
IterNodes
done23
123
019

end0.0ms

sample3.2s

Algorithm
intervals
Results
900.0ms16619×pre80true
805.0ms4493×body160valid
625.0ms8619×body80nan
344.0ms3507×body80valid