Details

Time bar (total: 13.6s)

sample139.0ms

Algorithm
intervals
Results
28.0ms111×body320valid
27.0ms540×pre80true
24.0ms284×body80nan
23.0ms96×body160valid
6.0ms16×body640valid
3.0ms33×body80valid

simplify108.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.8b

localize42.0ms

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)
26.8b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×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))
92.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
14.0ms
(* (* 3 a) c)
35.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series364.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* b b) (* (* 3 a) c))
172.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
31.0ms
(* (* 3 a) c)
102.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.6s

Counts
91 → 91
Iterations
IterNodes
done5001
21457
1423
0158

prune621.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune68.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.6b

localize16.0ms

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))

rewrite53.0ms

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
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
19.0ms
(/ (* a c) b)
13.0ms
(* -3/2 (/ (* a c) b))
19.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series124.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (* a c) b)
38.0ms
(* -3/2 (/ (* a c) b))
41.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.6s

Counts
90 → 90
Iterations
IterNodes
done5010
22261
1382
0126

prune410.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -3/2 (sqrt (/ (* a c) b)))
0.3b
(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
0.4b
(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
20×associate-*r*
17×add-sqr-sqrt
15×sqrt-prod
14×prod-exp cbrt-unprod
13×*-un-lft-identity add-cube-cbrt
11×pow1
10×times-frac
9×sqrt-div
8×cbrt-undiv div-exp
7×associate-*r/
4×associate-/r* associate-*l* pow-prod-down insert-posit16 div-inv add-log-exp
3×associate-/l/
2×frac-times clear-num frac-2neg associate-*l/ *-commutative associate-/l* unswap-sqr
Counts
4 → 108
Calls
4 calls:
9.0ms
(/ (* a c) b)
20.0ms
(* -3/2 (sqrt (/ (* a c) b)))
88.0ms
(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
57.0ms
(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

series303.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* a c) b)
107.0ms
(* -3/2 (sqrt (/ (* a c) b)))
115.0ms
(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
56.0ms
(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))

simplify1.7s

Counts
120 → 120
Iterations
IterNodes
done5015
22549
1459
0163

prune520.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

regimes557.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.3s8309×body80nan
1.0s3705×body320valid
845.0ms16309×pre80true
681.0ms486×body640valid
518.0ms2921×body160valid
162.0ms888×body80valid