Details

Time bar (total: 15.5s)

sample79.0ms

Algorithm
intervals
Results
21.0ms514×pre80true
15.0ms116×body320valid
11.0ms258×body80nan
9.0ms101×body160valid
2.0ms10×body640valid
1.0ms29×body80valid

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
012324
121324
241284
376284
496284
5104284
done104284

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
27.2b
(- (sqrt (- (* b b) (* (* 3.0 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
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 → 75
Calls
4 calls:
6.0ms
(- (* b b) (* (* 3.0 a) c))
76.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
13.0ms
(* (* 3.0 a) c)
67.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series377.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (* b b) (* (* 3.0 a) c))
136.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
36.0ms
(* (* 3.0 a) c)
133.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.8s

Counts
87 → 87
Iterations

Useful iterations: 2 (606.0ms)

IterNodesCost
015527211
142624663
2251424103
done500024103

prune553.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune61.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.3b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite54.0ms

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* div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 78
Calls
3 calls:
14.0ms
(* -1.5 (/ (* a c) b))
7.0ms
(/ (* a c) b)
31.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series126.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* -1.5 (/ (* a c) b))
39.0ms
(/ (* a c) b)
34.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.2s

Counts
87 → 87
Iterations

Useful iterations: done (2.2s)

IterNodesCost
012320751
139118347
2279317827
done500016827

prune489.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.3b
(/ 1 (* 3.0 a))
0.3b
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log
77×add-cbrt-cube
76×prod-exp
38×div-exp
34×cbrt-unprod
20×cbrt-undiv
15×add-sqr-sqrt
14×pow1 associate-*r*
13×*-un-lft-identity add-cube-cbrt
12×times-frac
10×rec-exp 1-exp
pow-prod-down
associate-/r* associate-*l* associate-*r/ div-inv associate-/l* add-log-exp
clear-num frac-2neg *-commutative pow-flip
frac-times associate-*l/ un-div-inv inv-pow unswap-sqr
Counts
4 → 138
Calls
4 calls:
15.0ms
(* -1.5 (/ (* a c) b))
14.0ms
(/ (* a c) b)
18.0ms
(/ 1 (* 3.0 a))
80.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* -1.5 (/ (* a c) b))
31.0ms
(/ (* a c) b)
18.0ms
(/ 1 (* 3.0 a))
29.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

simplify2.9s

Counts
150 → 150
Iterations

Useful iterations: done (2.9s)

IterNodesCost
018441506
160532467
2403030017
done500127533

prune503.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.7b

regimes748.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1683
done683

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.0s16285×pre80true
954.0ms3647×body320valid
804.0ms2970×body160valid
513.0ms8285×body80nan
166.0ms497×body640valid
107.0ms886×body80valid