Details

Time bar (total: 14.0s)

sample95.0ms

Algorithm
intervals
Results
18.0ms313×body80nan
16.0ms140×body160valid
16.0ms569×pre80true
7.0ms116×body80valid

simplify83.0ms

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: 28.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
28.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite225.0ms

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:
27.0ms
(* (* 3.0 a) c)
12.0ms
(- (* b b) (* (* 3.0 a) c))
121.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
61.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series408.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 3.0 a) c)
72.0ms
(- (* b b) (* (* 3.0 a) c))
167.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
142.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.8s

Counts
87 → 87
Iterations
IterNodes
done5000
22512
1427
0155

prune623.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.3b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune131.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.3b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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)
28.0ms
(* -1.5 (/ (* a c) b))
19.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series109.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (* a c) b)
45.0ms
(* -1.5 (/ (* a c) b))
39.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts
87 → 87
Iterations
IterNodes
done5001
22789
1391
0123

prune612.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 9.2b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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:
25.0ms
(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))
36.0ms
(* (* -1.5 a) (/ c b))

series74.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))
50.0ms
(* (* -1.5 a) (/ c b))

simplify2.5s

Counts
73 → 73
Iterations
IterNodes
done5001
23729
1441
0129

prune252.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 9.2b

regimes1.5s

Accuracy

47.1% (7.4b remaining)

Error of 16.5b against oracle of 9.1b and baseline of 23.1b

bsearch40.0ms

Steps
ItersRangePoint
3
204.90887762608816
259.65139672271624
208.2161789220425

simplify6.0ms

Iterations
IterNodes
done41
141
028

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.0s4385×body160valid
675.0ms8487×body80nan
662.0ms16487×pre80true
338.0ms3615×body80valid