Details

Time bar (total: 18.1s)

sample176.0ms

Algorithm
intervals
Results
60.0ms154×body160valid
41.0ms297×body80nan
33.0ms553×pre80true
16.0ms102×body80valid

simplify105.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.3b
(- (* b b) (* (* c a) 4))
29.0b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
127×add-sqr-sqrt
50×*-un-lft-identity
40×difference-of-squares
36×unswap-sqr
29×sqrt-prod
18×times-frac associate-*l*
17×distribute-lft-out--
16×add-cube-cbrt
8×add-log-exp
6×add-cbrt-cube swap-sqr add-exp-log *-commutative associate-/l*
5×pow1
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 → 130
Calls
4 calls:
173.0ms
(sqrt (- (* b b) (* (* c a) 4)))
1.3s
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
68.0ms
(- (* b b) (* (* c a) 4))
749.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series361.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(sqrt (- (* b b) (* (* c a) 4)))
129.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
48.0ms
(- (* b b) (* (* c a) 4))
87.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.3s

Counts
142 → 142
Iterations
IterNodes
done5000
21473
1491
0206

prune741.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.7b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune136.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 9.7b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
341×times-frac
249×add-sqr-sqrt
211×associate-*r*
181×*-un-lft-identity
179×add-cube-cbrt
77×associate-/l*
64×associate-*l*
33×unswap-sqr
21×add-cbrt-cube add-exp-log *-commutative associate-/l/
18×associate-*r/
9×associate-/r*
8×cbrt-undiv div-exp
6×div-inv
5×prod-exp cbrt-unprod
4×clear-num
3×frac-2neg un-div-inv
2×pow1 insert-posit16 add-log-exp
Counts
2 → 313
Calls
2 calls:
105.0ms
(/ (* -2 (/ (* a c) b)) a)
32.0ms
(/ (* a c) b)

series59.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* -2 (/ (* a c) b)) a)
26.0ms
(/ (* a c) b)

simplify1.6s

Counts
319 → 319
Iterations
IterNodes
done5001
11535
0523

prune1.7s

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 9.6b

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (/ b a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×add-cube-cbrt
10×times-frac
9×associate-*r/
6×add-cbrt-cube add-exp-log
4×associate-/l*
3×pow1 associate-/r* associate-*l*
2×clear-num prod-exp un-div-inv cbrt-unprod unswap-sqr
1×cbrt-undiv frac-2neg div-exp pow-prod-down *-commutative insert-posit16 div-inv add-log-exp
Counts
1 → 43
Calls
1 calls:
16.0ms
(* a (/ b a))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* a (/ b a))

simplify2.4s

Counts
46 → 46
Iterations
IterNodes
done5005
33138
2695
1191
073

prune240.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 9.6b

regimes1.1s

Accuracy

45.9% (7.4b remaining)

Error of 16.5b against oracle of 9.1b and baseline of 22.8b

bsearch62.0ms

Steps
ItersRangePoint
3
172.2552017259038
209.02696225458826
174.55343675894656

simplify14.0ms

Iterations
IterNodes
done38
138
028

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.8s4489×body160valid
1.6s16752×pre80true
1.2s8752×body80nan
463.0ms3511×body80valid