Details

Time bar (total: 30.0s)

sample161.0ms

Algorithm
intervals
Results
41.0ms118×body320valid
39.0ms510×pre80true
27.0ms254×body80nan
21.0ms99×body160valid
5.0ms11×body640valid
4.0ms28×body80valid

simplify124.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.1b

localize46.0ms

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)
28.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite146.0ms

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))
78.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
18.0ms
(* (* 3 a) c)
41.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series390.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (* b b) (* (* 3 a) c))
152.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
25.0ms
(* (* 3 a) c)
133.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.7s

Counts
91 → 91
Iterations
IterNodes
36196
21498
1421
0158

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.2b

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

prune62.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.2b

localize14.0ms

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))

rewrite81.0ms

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:
18.0ms
(/ (* a c) b)
25.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series107.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* a c) b)
48.0ms
(* -3/2 (/ (* a c) b))
36.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.7s

Counts
90 → 90
Iterations
IterNodes
315215
21842
1363
0126

prune832.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 3.2b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:
8.0ms
(/ -3/2 (* 3 (/ b c)))
9.0ms
(* 3 (/ b c))

series53.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ -3/2 (* 3 (/ b c)))
29.0ms
(* 3 (/ b c))

simplify1.3s

Counts
64 → 64
Iterations
IterNodes
32306
2694
1264
0108

prune371.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 3.2b

regimes609.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
26
16
05

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.3s3594×body320valid
1.1s8084×body80nan
889.0ms16084×pre80true
888.0ms2988×body160valid
293.0ms495×body640valid
108.0ms923×body80valid