Details

Time bar (total: 26.0s)

sample150.0ms

Algorithm
intervals
Results
39.0ms158×body160valid
30.0ms510×pre80true
29.0ms254×body80nan
17.0ms42×body320valid
8.0ms56×body80valid

simplify126.0ms

Counts
1 → 1
Iterations
IterNodes
893
793
692
590
482
366
240
121
012

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
39.8b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite180.0ms

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))
18.0ms
(* (* 3 a) c)
112.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
41.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series357.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* b b) (* (* 3 a) c))
33.0ms
(* (* 3 a) c)
147.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
105.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.5s

Counts
91 → 91
Iterations
IterNodes
36170
21501
1422
0158

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.1b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune47.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite49.0ms

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:
15.0ms
(/ (* a c) b)
13.0ms
(* -3/2 (/ (* a c) b))
19.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series92.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* a c) b)
37.0ms
(* -3/2 (/ (* a c) b))
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify10.6s

Counts
90 → 90
Iterations
IterNodes
315215
21842
1363
0126

prune734.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
cbrt-undiv div-exp
pow1 prod-exp cbrt-unprod
associate-*l* associate-/l*
associate-*r/ insert-posit16 div-inv add-log-exp unswap-sqr
clear-num associate-/r* frac-2neg pow-prod-down associate-/r/ *-commutative
Counts
2 → 58
Calls
2 calls:
16.0ms
(* 3 (/ b c))
8.0ms
(/ -3/2 (* 3 (/ b c)))

series55.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* 3 (/ b c))
28.0ms
(/ -3/2 (* 3 (/ b c)))

simplify1.2s

Counts
64 → 64
Iterations
IterNodes
32548
2703
1265
0108

prune430.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.0b

regimes628.0ms

Accuracy

10.3% (6.2b remaining)

Error of 11.2b against oracle of 5.0b and baseline of 12.0b

bsearch46.0ms

Steps
ItersRangePoint
4
4.107563431783021e-05
7.864768175661588e-05
4.197456508925139e-05

simplify5.0ms

Iterations
IterNodes
235
135
025

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.2s4778×body160valid
941.0ms16319×pre80true
926.0ms8319×body80nan
538.0ms1418×body320valid
205.0ms1804×body80valid