Details

Time bar (total: 27.3s)

sample211.0ms

Algorithm
intervals
Results
78.0ms115×body320valid
33.0ms505×pre80true
33.0ms249×body80nan
24.0ms88×body160valid
10.0ms19×body640valid
5.0ms34×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

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
24.6b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite164.0ms

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))
73.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
27.0ms
(* (* 3 a) c)
55.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series378.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (* b b) (* (* 3 a) c))
163.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
31.0ms
(* (* 3 a) c)
123.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.3s

Counts
91 → 91
Iterations
IterNodes
36154
21497
1423
0158

prune937.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune51.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.6b

localize15.0ms

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)
25.0ms
(* -3/2 (/ (* a c) b))
33.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series102.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (* a c) b)
34.0ms
(* -3/2 (/ (* a c) b))
29.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify10.3s

Counts
90 → 90
Iterations
IterNodes
314826
21821
1365
0126

prune692.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.5b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
44×associate-*r*
20×cbrt-undiv div-exp
14×associate-/r*
13×prod-exp cbrt-unprod
10×div-inv
pow1
associate-/l*
associate-*l* insert-posit16 add-log-exp unswap-sqr
clear-num frac-2neg associate-*r/ associate-/r/
pow-prod-down *-commutative associate-/l/
Counts
3 → 169
Calls
3 calls:
6.0ms
(/ a (/ b c))
12.0ms
(* -3/2 (/ a (/ b c)))
18.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))

series80.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ a (/ b c))
34.0ms
(* -3/2 (/ a (/ b c)))
22.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))

simplify823.0ms

Counts
178 → 178
Iterations
IterNodes
23103
1749
0269

prune1.5s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.5b

regimes662.0ms

Accuracy

0% (3.6b 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

sample5.8s

Algorithm
intervals
Results
2.3s3667×body320valid
1.1s7993×body80nan
879.0ms15993×pre80true
729.0ms2922×body160valid
221.0ms490×body640valid
156.0ms921×body80valid