Details

Time bar (total: 12.6s)

sample97.0ms

Algorithm
intervals
Results
23.0ms139×body160valid
21.0ms507×pre80true
20.0ms251×body80nan
14.0ms117×body80valid

simplify130.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
28.6b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite161.0ms

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:
15.0ms
(- (* b b) (* (* 3 a) c))
16.0ms
(* (* 3 a) c)
96.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
32.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series392.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* b b) (* (* 3 a) c))
35.0ms
(* (* 3 a) c)
180.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
105.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
done2000
32000
21459
1424
0158

prune535.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.0b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune88.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:
12.0ms
(* -3/2 (/ (* a c) b))
11.0ms
(/ (* a c) b)
25.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series106.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* -3/2 (/ (* a c) b))
32.0ms
(/ (* a c) b)
26.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify888.0ms

Counts
90 → 90
Iterations
IterNodes
done2005
22005
1382
0126

prune461.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 8.9b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
58×add-cbrt-cube add-exp-log
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
29×cbrt-undiv div-exp
22×associate-/r*
13×div-inv
11×prod-exp cbrt-unprod
6×associate-/r/
5×associate-/l*
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
3 → 138
Calls
3 calls:
10.0ms
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
8.0ms
(/ (* a c) b)
19.0ms
(/ (* 3 a) (/ (* a c) b))

series93.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
22.0ms
(/ (* a c) b)
35.0ms
(/ (* 3 a) (/ (* a c) b))

simplify1.3s

Counts
147 → 147
Iterations
IterNodes
done2001
22001
1665
0226

prune640.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 8.9b

regimes1.3s

Accuracy

45.3% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.3b

bsearch55.0ms

Steps
ItersRangePoint
4
750.6626388256738
1053.120020302738
759.6594316796017

simplify10.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.3s4513×body160valid
1.1s8352×body80nan
1.0s16352×pre80true
473.0ms3487×body80valid