Details

Time bar (total: 13.1s)

sample128.0ms

Algorithm
intervals
Results
24.0ms98×body320valid
20.0ms253×body80nan
19.0ms509×pre80true
17.0ms103×body160valid
8.0ms25×body640valid
2.0ms30×body80valid

simplify113.0ms

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.7b

localize30.0ms

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))
0.3b
(* (* 3.0 a) c)
28.9b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite198.0ms

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:
12.0ms
(- (* b b) (* (* 3.0 a) c))
109.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
26.0ms
(* (* 3.0 a) c)
47.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series433.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (* b b) (* (* 3.0 a) c))
185.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
32.0ms
(* (* 3.0 a) c)
129.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts
87 → 87
Iterations
IterNodes
done5001
21450
1417
0155

prune620.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.3b

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

prune88.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -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)
26.0ms
(* -1.5 (/ (* a c) b))
40.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series99.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (* a c) b)
43.0ms
(* -1.5 (/ (* a c) b))
27.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.4s

Counts
87 → 87
Iterations
IterNodes
done5010
22219
1371
0123

prune504.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.3b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
0.3b
(/ (* a c) b)
0.4b
(/ (* 3.0 a) (/ (* a c) b))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
58×add-cbrt-cube add-exp-log
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
29×cbrt-undiv div-exp
22×associate-/r*
13×div-inv
11×prod-exp cbrt-unprod
6×associate-/r/
5×associate-/l*
3×pow1 clear-num frac-2neg add-log-exp
Counts
3 → 135
Calls
3 calls:
30.0ms
(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
15.0ms
(/ (* a c) b)
24.0ms
(/ (* 3.0 a) (/ (* a c) b))

series100.0ms

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

simplify2.0s

Counts
144 → 144
Iterations
IterNodes
done5020
22992
1657
0223

prune806.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.3b

regimes733.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.3s3608×body320valid
679.0ms16222×pre80true
635.0ms8222×body80nan
457.0ms2930×body160valid
175.0ms518×body640valid
62.0ms944×body80valid