Details

Time bar (total: 13.3s)

sample99.0ms

Algorithm
intervals
Results
32.0ms278×body80nan
16.0ms146×body160valid
14.0ms534×pre80true
6.0ms110×body80valid

simplify97.0ms

Counts
1 → 1
Iterations
IterNodes
done94
794
693
591
483
368
239
121
012

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite172.0ms

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:
7.0ms
(- (* b b) (* (* 3.0 a) c))
18.0ms
(* (* 3.0 a) c)
86.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
59.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series398.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (* b b) (* (* 3.0 a) c))
38.0ms
(* (* 3.0 a) c)
157.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
127.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.1s

Counts
87 → 87
Iterations
IterNodes
done5001
21454
1419
0155

prune626.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.3b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune126.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite85.0ms

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)
34.0ms
(* -1.5 (/ (* a c) b))
36.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series113.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (* a c) b)
50.0ms
(* -1.5 (/ (* a c) b))
24.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts
87 → 87
Iterations
IterNodes
done5010
22219
1371
0123

prune569.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (* a c))
0.3b
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
0.4b
(* (* -1.5 (* a c)) (/ 1 b))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
166×add-exp-log
94×add-cbrt-cube
88×prod-exp
46×cbrt-unprod
44×div-exp
23×cbrt-undiv
17×pow1
14×associate-*r*
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×times-frac
9×rec-exp 1-exp pow-prod-down
4×associate-*l*
3×add-log-exp
2×associate-*r/ un-div-inv *-commutative div-inv associate-/l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
3 → 118
Calls
3 calls:
25.0ms
(* -1.5 (* a c))
83.0ms
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
64.0ms
(* (* -1.5 (* a c)) (/ 1 b))

series115.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* -1.5 (* a c))
41.0ms
(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))
39.0ms
(* (* -1.5 (* a c)) (/ 1 b))

simplify1.9s

Counts
127 → 127
Iterations
IterNodes
done5032
22869
1542
0181

prune333.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 9.1b

regimes1.4s

Accuracy

47.5% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.9b

bsearch12.0ms

Steps
ItersRangePoint
1
825.8857943049597
863.2800776740891
835.234365147242

simplify9.0ms

Iterations
IterNodes
done35
135
027

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.2s4405×body160valid
701.0ms16398×pre80true
687.0ms8398×body80nan
268.0ms3595×body80valid