Details

Time bar (total: 15.6s)

sample180.0ms

Algorithm
intervals
Results
55.0ms151×body160valid
35.0ms259×body80nan
32.0ms515×pre80true
20.0ms49×body320valid
8.0ms56×body80valid

simplify107.0ms

Counts
1 → 1
Iterations
IterNodes
done101
5101
493
377
245
124
014

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4))) b) 2) a)
35.7b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
add-cbrt-cube add-exp-log
add-log-exp
pow1 div-inv
insert-posit16
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 153
Calls
4 calls:
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))
8.0ms
(- (* b b) (* (* c a) 4))
82.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4))) b) 2) a)
33.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series401.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (- (* b b) (* (* c a) 4)))
59.0ms
(- (* b b) (* (* c a) 4))
133.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4))) b) 2) a)
125.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.6s

Counts
165 → 165
Iterations
IterNodes
done5001
22316
1674
0279

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.4b

localize19.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune112.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 add-log-exp
associate-/l/
Counts
2 → 75
Calls
2 calls:
16.0ms
(/ (* a c) b)
24.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)

series70.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* a c) b)
37.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)

simplify1.3s

Counts
81 → 81
Iterations
IterNodes
done5001
22128
1454
0169

prune453.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 5.3b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
106×add-sqr-sqrt
76×*-un-lft-identity add-cube-cbrt
53×add-cbrt-cube add-exp-log
48×sqrt-prod
23×cbrt-undiv div-exp
22×associate-*r* associate-*l*
15×associate-/r*
13×prod-exp cbrt-unprod associate-/l*
div-inv unswap-sqr
pow1
insert-posit16 add-log-exp
clear-num frac-2neg
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 211
Calls
4 calls:
9.0ms
(/ a (sqrt b))
67.0ms
(/ (/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2) a)
5.0ms
(/ c (sqrt b))
27.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ a (sqrt b))
71.0ms
(/ (/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) 2) a)
66.0ms
(/ c (sqrt b))
75.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify2.6s

Counts
223 → 223
Iterations
IterNodes
done5009
24593
11043
0360

prune902.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 5.3b

regimes812.0ms

Accuracy

0% (6.8b remaining)

Error of 12.0b against oracle of 5.2b and baseline of 12.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.6s8353×body80nan
1.4s4837×body160valid
1.1s16353×pre80true
580.0ms1380×body320valid
278.0ms1783×body80valid