Details

Time bar (total: 27.3s)

sample151.0ms

Algorithm
intervals
Results
37.0ms484×pre80true
31.0ms85×body320valid
26.0ms124×body160valid
24.0ms228×body80nan
7.0ms16×body640valid
4.0ms31×body80valid

simplify151.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
30.4b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite159.0ms

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))
78.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
13.0ms
(* (* 3 a) c)
59.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series388.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- (* b b) (* (* 3 a) c))
160.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
38.0ms
(* (* 3 a) c)
112.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.3s

Counts
91 → 91
Iterations
IterNodes
36154
21497
1423
0158

prune946.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.2b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune50.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.2b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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:
17.0ms
(/ (* a c) b)
24.0ms
(* -3/2 (/ (* a c) b))
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series109.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (* a c) b)
36.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify10.8s

Counts
90 → 90
Iterations
IterNodes
314826
21821
1365
0126

prune814.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:
15.0ms
(/ -3/2 (* b (/ 3 c)))
11.0ms
(* b (/ 3 c))

series63.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ -3/2 (* b (/ 3 c)))
36.0ms
(* b (/ 3 c))

simplify823.0ms

Counts
64 → 64
Iterations
IterNodes
33152
2816
1265
0110

prune435.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.1b

regimes522.0ms

Accuracy

0% (3.5b remaining)

Error of 6.3b against oracle of 2.8b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
26
16
05

end0.0ms

sample6.3s

Algorithm
intervals
Results
1.6s8133×body80nan
1.6s3589×body320valid
1.1s16133×pre80true
723.0ms2989×body160valid
687.0ms504×body640valid
109.0ms918×body80valid