Details

Time bar (total: 16.0s)

sample211.0ms

Algorithm
intervals
Results
40.0ms113×body320valid
35.0ms306×body80nan
34.0ms562×pre80true
28.0ms90×body160valid
8.0ms16×body640valid
5.0ms37×body80valid

simplify96.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.7b

localize32.0ms

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)
24.7b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite218.0ms

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:
14.0ms
(- (* b b) (* (* 3 a) c))
121.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
32.0ms
(* (* 3 a) c)
49.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series356.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (* b b) (* (* 3 a) c))
162.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
21.0ms
(* (* 3 a) c)
93.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.4s

Counts
91 → 91
Iterations
IterNodes
done2121
32121
21457
1423
0158

prune969.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.1b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune36.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.1b

localize20.0ms

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))

rewrite40.0ms

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:
8.0ms
(/ (* a c) b)
12.0ms
(* -3/2 (/ (* a c) b))
18.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series116.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* a c) b)
45.0ms
(* -3/2 (/ (* a c) b))
36.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify890.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
22001
1382
0126

prune705.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* -27/8 (/ (* a (* a a)) (* b b))) (/ c (/ b (* c c))))
0.4b
(/ (* a (* a a)) (* b b))
0.4b
(/ (cbrt (* (* -27/8 (/ (* a (* a a)) (* b b))) (/ c (/ b (* c c))))) (* 3 a))
0.7b
(cbrt (* (* -27/8 (/ (* a (* a a)) (* b b))) (/ c (/ b (* c c)))))

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
230×add-exp-log
228×add-cbrt-cube
114×prod-exp cbrt-unprod
72×cbrt-undiv div-exp
35×times-frac
26×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 associate-*r/
cbrt-div div-inv
associate-/l*
insert-posit16 add-log-exp
cbrt-prod frac-times pow-prod-down associate-*l/ associate-/l/
clear-num associate-/r* frac-2neg
pow1/3 associate-*l* associate-/r/ *-commutative
Counts
4 → 171
Calls
4 calls:
174.0ms
(* (* -27/8 (/ (* a (* a a)) (* b b))) (/ c (/ b (* c c))))
38.0ms
(/ (* a (* a a)) (* b b))
8.0ms
(/ (cbrt (* (* -27/8 (/ (* a (* a a)) (* b b))) (/ c (/ b (* c c))))) (* 3 a))
110.0ms
(cbrt (* (* -27/8 (/ (* a (* a a)) (* b b))) (/ c (/ b (* c c)))))

series393.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (* -27/8 (/ (* a (* a a)) (* b b))) (/ c (/ b (* c c))))
72.0ms
(/ (* a (* a a)) (* b b))
101.0ms
(/ (cbrt (* (* -27/8 (/ (* a (* a a)) (* b b))) (/ c (/ b (* c c))))) (* 3 a))
83.0ms
(cbrt (* (* -27/8 (/ (* a (* a a)) (* b b))) (/ c (/ b (* c c)))))

simplify1.2s

Counts
183 → 183
Iterations
IterNodes
done2006
22006
11027
0323

prune2.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.1b

regimes581.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample6.3s

Algorithm
intervals
Results
1.6s3647×body320valid
1.5s16238×pre80true
1.1s8238×body80nan
1.1s2922×body160valid
267.0ms503×body640valid
151.0ms928×body80valid