Details

Time bar (total: 25.6s)

sample119.0ms

Algorithm
intervals
Results
39.0ms145×body160valid
25.0ms486×pre80true
23.0ms230×body80nan
12.0ms111×body80valid

simplify106.0ms

Counts
1 → 1
Iterations
IterNodes
893
793
692
590
482
366
240
121
012

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize35.0ms

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))
29.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite141.0ms

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:
7.0ms
(- (* b b) (* (* 3 a) c))
14.0ms
(* (* 3 a) c)
88.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
32.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series329.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* b b) (* (* 3 a) c))
26.0ms
(* (* 3 a) c)
132.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
118.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify4.6s

Counts
91 → 91
Iterations
IterNodes
36088
21502
1424
0158

prune955.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.2b

localize12.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune77.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 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* 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:
8.0ms
(/ (* a c) b)
17.0ms
(* -3/2 (/ (* a c) b))
40.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series94.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (* a c) b)
32.0ms
(* -3/2 (/ (* a c) b))
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify10.5s

Counts
90 → 90
Iterations
IterNodes
314826
21821
1365
0126

prune779.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 9.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* 3 a) b)
0.3b
(* -3/2 (* a c))
0.3b
(/ (* -3/2 (* a c)) (* (* 3 a) b))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
24×prod-exp cbrt-unprod
13×pow1
9×cbrt-undiv div-exp
6×pow-prod-down
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-*r* associate-*l*
3×insert-posit16 add-log-exp
2×*-commutative
1×clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 70
Calls
3 calls:
17.0ms
(* (* 3 a) b)
12.0ms
(* -3/2 (* a c))
52.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

series112.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (* 3 a) b)
37.0ms
(* -3/2 (* a c))
37.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify571.0ms

Counts
79 → 79
Iterations
IterNodes
22426
1333
0110

prune625.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 9.1b

regimes1.0s

Accuracy

46.5% (7.1b remaining)

Error of 16.4b against oracle of 9.3b and baseline of 22.6b

bsearch36.0ms

Steps
ItersRangePoint
3
2013.250555273159
2504.6701482500034
2029.693337701399

simplify9.0ms

Iterations
IterNodes
235
135
025

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.7s4525×body160valid
1.6s8547×body80nan
1.0s16547×pre80true
479.0ms3475×body80valid