Details

Time bar (total: 9.7s)

sample181.0ms

Algorithm
intervals
Results
59.0ms568×pre80true
35.0ms312×body80nan
34.0ms146×body160valid
15.0ms40×body320valid
8.0ms70×body80valid

simplify109.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
38.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite151.0ms

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:
8.0ms
(- (* b b) (* (* 3 a) c))
23.0ms
(* (* 3 a) c)
87.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
31.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series335.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (* b b) (* (* 3 a) c))
35.0ms
(* (* 3 a) c)
150.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
96.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify852.0ms

Counts
91 → 91
Iterations
IterNodes
done2000
21459
1424
0158

prune541.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.4b

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

prune52.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.4b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b
(* -3/2 (/ (* a c) b))
0.2b
(/ (* a c) b)
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite70.0ms

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:
13.0ms
(* -3/2 (/ (* a c) b))
23.0ms
(/ (* a c) b)
33.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series82.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* -3/2 (/ (* a c) b))
25.0ms
(/ (* a c) b)
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify406.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
1382
0126

prune457.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.4b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
24×prod-exp cbrt-unprod
13×pow1
cbrt-undiv div-exp
pow-prod-down
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*r* associate-*l*
insert-posit16 add-log-exp
*-commutative
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 70
Calls
3 calls:
27.0ms
(* -3/2 (* a c))
14.0ms
(* (* 3 a) b)
36.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

series88.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* -3/2 (* a c))
25.0ms
(* (* 3 a) b)
25.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify373.0ms

Counts
79 → 79
Iterations
IterNodes
done2000
1333
0110

prune238.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.3b

regimes690.0ms

Accuracy

12.9% (6.1b remaining)

Error of 11.3b against oracle of 5.1b and baseline of 12.2b

bsearch60.0ms

Steps
ItersRangePoint
4
0.0015321827282462836
0.00214274672469479
0.0015483000136869431

simplify5.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.2s8183×body80nan
1.2s16183×pre80true
1.1s4797×body160valid
572.0ms1358×body320valid
191.0ms1845×body80valid