Details

Time bar (total: 12.8s)

sample62.0ms

Algorithm
intervals
Results
14.0ms518×pre80true
13.0ms137×body160valid
11.0ms262×body80nan
5.0ms119×body80valid

simplify133.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
28.3b
(- (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
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:
13.0ms
(- (* b b) (* (* 3 a) c))
22.0ms
(* (* 3 a) c)
80.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
47.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series363.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (* b b) (* (* 3 a) c))
39.0ms
(* (* 3 a) c)
138.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
100.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.9s

Counts
91 → 91
Iterations
IterNodes
done5000
21459
1424
0158

prune516.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.5b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune99.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.5b

localize32.0ms

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))

rewrite51.0ms

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:
9.0ms
(/ (* a c) b)
13.0ms
(* -3/2 (/ (* a c) b))
28.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series85.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* a c) b)
37.0ms
(* -3/2 (/ (* a c) b))
25.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.6s

Counts
90 → 90
Iterations
IterNodes
done5010
22261
1382
0126

prune460.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 8.3b

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* c -1/2) (/ a b))
0.2b
(/ (* (* c -1/2) (/ a b)) a)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
13×associate-*r*
12×times-frac prod-exp cbrt-unprod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-undiv div-exp
7×pow1
3×associate-/r* pow-prod-down
2×associate-*r/ insert-posit16 div-inv add-log-exp
1×clear-num frac-2neg associate-*l* *-commutative associate-/l* associate-/l/
Counts
2 → 63
Calls
2 calls:
23.0ms
(* (* c -1/2) (/ a b))
19.0ms
(/ (* (* c -1/2) (/ a b)) a)

series48.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (* c -1/2) (/ a b))
19.0ms
(/ (* (* c -1/2) (/ a b)) a)

simplify1.9s

Counts
69 → 69
Iterations
IterNodes
done5001
21642
1361
0117

prune250.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 8.3b

regimes1.5s

Accuracy

47.2% (7.2b remaining)

Error of 16.2b against oracle of 9.0b and baseline of 22.7b

bsearch36.0ms

Steps
ItersRangePoint
2
554.8853353555609
627.0778694758378
563.9094021205955

simplify16.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample3.6s

Algorithm
intervals
Results
864.0ms3517×body80valid
853.0ms16426×pre80true
755.0ms4483×body160valid
675.0ms8426×body80nan