Details

Time bar (total: 14.4s)

sample162.0ms

Algorithm
intervals
Results
41.0ms562×pre80true
35.0ms306×body80nan
35.0ms148×body160valid
17.0ms49×body320valid
7.0ms59×body80valid

simplify88.0ms

Counts
1 → 1
Iterations
IterNodes
done109
5109
4101
380
242
121
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
37.9b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
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))
13.0ms
(* (* 3 a) c)
62.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
65.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series310.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (* b b) (* (* 3 a) c))
24.0ms
(* (* 3 a) c)
143.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
89.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify2.1s

Counts
91 → 91
Iterations
IterNodes
done5001
22518
1433
0158

prune583.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.8b

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

prune82.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.8b

localize33.0ms

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))

rewrite78.0ms

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
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
25.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* a c) b)
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series103.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* -3/2 (/ (* a c) b))
28.0ms
(/ (* a c) b)
26.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Counts
90 → 90
Iterations
IterNodes
done5001
22765
1402
0126

prune463.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (* -2 (/ a (/ a (/ b c)))))
0.3b
(/ a (/ b c))
0.3b
(/ a (/ a (/ b c)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
232×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
67×add-exp-log
58×associate-/r*
37×add-cbrt-cube div-exp
23×div-inv
20×cbrt-undiv
12×prod-exp
associate-/l*
associate-/r/
pow1
rec-exp 1-exp
cbrt-unprod
clear-num frac-2neg insert-posit16 add-log-exp
pow-flip
pow-prod-down associate-*r/ inv-pow
Counts
3 → 310
Calls
3 calls:
46.0ms
(/ 1 (* -2 (/ a (/ a (/ b c)))))
11.0ms
(/ a (/ b c))
7.0ms
(/ a (/ a (/ b c)))

series58.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ 1 (* -2 (/ a (/ a (/ b c)))))
25.0ms
(/ a (/ b c))
10.0ms
(/ a (/ a (/ b c)))

simplify1.4s

Counts
319 → 319
Iterations
IterNodes
done5001
11517
0520

prune1.1s

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 4.6b

regimes816.0ms

Accuracy

7.4% (6.3b remaining)

Error of 11.5b against oracle of 5.1b and baseline of 12.0b

bsearch37.0ms

Steps
ItersRangePoint
3
0.22538239365787033
0.2970756725892088
0.2283921088226662

simplify8.0ms

Iterations
IterNodes
done35
135
025

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.4s8382×body80nan
1.3s16382×pre80true
1.3s4831×body160valid
491.0ms1395×body320valid
309.0ms1774×body80valid