Details

Time bar (total: 14.0s)

sample93.0ms

Algorithm
intervals
Results
23.0ms148×body160valid
18.0ms305×body80nan
16.0ms561×pre80true
7.0ms108×body80valid

simplify78.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
27.9b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite201.0ms

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:
21.0ms
(* (* 3.0 a) c)
6.0ms
(- (* b b) (* (* 3.0 a) c))
118.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
53.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series400.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* 3.0 a) c)
75.0ms
(- (* b b) (* (* 3.0 a) c))
164.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
139.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.8s

Counts
87 → 87
Iterations
IterNodes
done5000
22512
1427
0155

prune642.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.4b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune139.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.4b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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:
14.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
33.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series117.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* a c) b)
47.0ms
(* -1.5 (/ (* a c) b))
47.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts
87 → 87
Iterations
IterNodes
done5001
22789
1391
0123

prune631.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.3b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
52×add-cbrt-cube add-exp-log
42×times-frac
29×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
21×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×associate-/r* associate-/l*
8×div-inv
7×associate-*r*
6×pow1
4×add-log-exp
3×clear-num frac-2neg associate-*l*
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 126
Calls
4 calls:
40.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
15.0ms
(/ (* a c) b)
26.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
15.0ms
(* -1.5 (/ (* a c) b))

series175.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
34.0ms
(/ (* a c) b)
66.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
52.0ms
(* -1.5 (/ (* a c) b))

simplify2.3s

Counts
138 → 138
Iterations
IterNodes
done5001
23197
1528
0192

prune703.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.2b

regimes1.4s

Accuracy

44.7% (7.6b remaining)

Error of 16.7b against oracle of 9.1b and baseline of 22.9b

bsearch35.0ms

Steps
ItersRangePoint
2
59.54081762261222
70.62772712067056
60.5124483648276

simplify16.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample3.2s

Algorithm
intervals
Results
966.0ms16725×pre80true
734.0ms4433×body160valid
700.0ms8725×body80nan
292.0ms3566×body80valid
0.0ms1×body320valid