Details

Time bar (total: 14.2s)

sample103.0ms

Algorithm
intervals
Results
30.0ms264×body80nan
25.0ms135×body160valid
19.0ms520×pre80true
11.0ms121×body80valid

simplify85.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
370
243
124
014

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(- (* b b) (* (* c a) 4))
0.3b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
28.1b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
13.0ms
(sqrt (- (* b b) (* (* c a) 4)))
14.0ms
(- (* b b) (* (* c a) 4))
65.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
56.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series423.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(sqrt (- (* b b) (* (* c a) 4)))
70.0ms
(- (* b b) (* (* c a) 4))
132.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
109.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify2.3s

Counts
100 → 100
Iterations
IterNodes
done5002
34569
21103
1400
0161

prune524.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.5b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune95.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2 (/ (* a c) b)) a)
0.3b
(/ (* a c) b)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
16.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series48.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* -2 (/ (* a c) b)) a)
27.0ms
(/ (* a c) b)

simplify958.0ms

Counts
55 → 55
Iterations
IterNodes
done5001
21429
1278
099

prune305.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 c) b)
0.3b
(/ -2 (* (/ 1 c) b))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
19×add-sqr-sqrt
16×add-cbrt-cube
14×times-frac
13×*-un-lft-identity associate-*l*
12×add-cube-cbrt
9×div-exp
8×prod-exp
5×cbrt-undiv
4×pow1 cbrt-unprod
3×associate-*r* associate-/l* unswap-sqr
2×rec-exp 1-exp associate-*l/ insert-posit16 div-inv add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down associate-/r/ *-commutative
Counts
2 → 63
Calls
2 calls:
19.0ms
(* (/ 1 c) b)
18.0ms
(/ -2 (* (/ 1 c) b))

series60.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (/ 1 c) b)
43.0ms
(/ -2 (* (/ 1 c) b))

simplify2.3s

Counts
69 → 69
Iterations
IterNodes
done5003
33613
2879
1272
0111

prune185.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 8.3b

regimes944.0ms

Accuracy

46.9% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.8b

bsearch36.0ms

Steps
ItersRangePoint
2
554.8853353555609
627.0778694758378
563.9094021205955

simplify8.0ms

Iterations
IterNodes
done35
135
026

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.6s8542×body80nan
1.5s16542×pre80true
1.3s4447×body160valid
507.0ms3553×body80valid