Details

Time bar (total: 12.1s)

sample95.0ms

Algorithm
intervals
Results
20.0ms320×body80nan
18.0ms137×body160valid
17.0ms576×pre80true
8.0ms119×body80valid

simplify122.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 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))
27.4b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite204.0ms

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:
26.0ms
(* (* 3.0 a) c)
13.0ms
(- (* b b) (* (* 3.0 a) c))
113.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
49.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series360.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* 3.0 a) c)
63.0ms
(- (* b b) (* (* 3.0 a) c))
143.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
127.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.5s

Counts
87 → 87
Iterations
IterNodes
done5001
21434
1416
0155

prune555.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.4b

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

prune135.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite45.0ms

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:
11.0ms
(/ (* a c) b)
14.0ms
(* -1.5 (/ (* a c) b))
17.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series79.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* a c) b)
32.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.3s

Counts
87 → 87
Iterations
IterNodes
done5010
22219
1371
0123

prune637.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 9.3b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

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:
38.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))
42.0ms
(* (* a -1.5) (/ c b))

series75.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))
32.0ms
(* (* a -1.5) (/ c b))

simplify1.4s

Counts
73 → 73
Iterations
IterNodes
done5000
22068
1427
0129

prune255.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.3b

regimes2.0s

Accuracy

45% (7.4b remaining)

Error of 16.6b against oracle of 9.2b and baseline of 22.6b

bsearch3.0ms

Steps
ItersRangePoint
0
77.28833020321753
78.41867601841196
77.85350311081474

simplify5.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s16604×pre80true
725.0ms4507×body160valid
618.0ms8604×body80nan
264.0ms3493×body80valid