Details

Time bar (total: 32.0s)

sample113.0ms

Algorithm
intervals
Results
31.0ms529×pre80true
20.0ms153×body160valid
18.0ms273×body80nan
11.0ms48×body320valid
4.0ms55×body80valid

simplify130.0ms

Counts
1 → 1
Iterations
IterNodes
done94
794
693
591
483
368
239
121
012

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
38.8b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite176.0ms

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
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 → 75
Calls
4 calls:
6.0ms
(- (* b b) (* (* 3.0 a) c))
14.0ms
(* (* 3.0 a) c)
117.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
37.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series379.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (* b b) (* (* 3.0 a) c))
34.0ms
(* (* 3.0 a) c)
162.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
120.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts
87 → 87
Iterations
IterNodes
done5001
21454
1419
0155

prune668.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.0b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune66.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 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
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* 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 → 78
Calls
3 calls:
8.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
39.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series96.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (* a c) b)
37.0ms
(* -1.5 (/ (* a c) b))
26.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts
87 → 87
Iterations
IterNodes
done5010
22219
1371
0123

prune524.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 5.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* (* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b))) (* -1.5 (/ (* a c) b))) (* (* (* 3.0 3.0) 3.0) (* (* a a) a)))
0.4b
(* (* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b))) (* -1.5 (/ (* a c) b)))
0.5b
(* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b)))
0.6b
(cbrt (/ (* (* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b))) (* -1.5 (/ (* a c) b))) (* (* (* 3.0 3.0) 3.0) (* (* a a) a))))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
8081×add-cbrt-cube add-exp-log
5519×prod-exp cbrt-unprod
1784×cbrt-undiv div-exp
198×pow1
86×pow-prod-down
38×pow-prod-up
35×associate-*r/
19×pow-plus
16×pow-sqr
11×frac-times associate-*l/
7×associate-/l/
5×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow2 add-log-exp
2×times-frac associate-*r* associate-*l* *-commutative div-inv
1×cbrt-div clear-num associate-/r* frac-2neg pow1/3 swap-sqr pow3 associate-/l*
Counts
4 → 1672
Calls
4 calls:
525.0ms
(/ (* (* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b))) (* -1.5 (/ (* a c) b))) (* (* (* 3.0 3.0) 3.0) (* (* a a) a)))
344.0ms
(* (* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b))) (* -1.5 (/ (* a c) b)))
105.0ms
(* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b)))
430.0ms
(cbrt (/ (* (* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b))) (* -1.5 (/ (* a c) b))) (* (* (* 3.0 3.0) 3.0) (* (* a a) a))))

series991.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ (* (* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b))) (* -1.5 (/ (* a c) b))) (* (* (* 3.0 3.0) 3.0) (* (* a a) a)))
600.0ms
(* (* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b))) (* -1.5 (/ (* a c) b)))
119.0ms
(* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b)))
134.0ms
(cbrt (/ (* (* (* -1.5 (/ (* a c) b)) (* -1.5 (/ (* a c) b))) (* -1.5 (/ (* a c) b))) (* (* (* 3.0 3.0) 3.0) (* (* a a) a))))

simplify14.9s

Counts
1684 → 1684
Iterations
IterNodes
done5000
12870
01365

prune4.2s

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.0b

regimes839.0ms

Accuracy

0% (6.7b remaining)

Error of 11.8b against oracle of 5.1b and baseline of 11.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.0s16240×pre80true
745.0ms4795×body160valid
634.0ms8240×body80nan
378.0ms1474×body320valid
151.0ms1731×body80valid