Details

Time bar (total: 13.6s)

sample73.0ms

Algorithm
intervals
Results
16.0ms151×body160valid
15.0ms515×pre80true
14.0ms259×body80nan
8.0ms49×body320valid
3.0ms56×body80valid

simplify122.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
35.7b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite191.0ms

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:
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))
7.0ms
(- (* b b) (* (* c a) 4))
109.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
65.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series366.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(sqrt (- (* b b) (* (* c a) 4)))
64.0ms
(- (* b b) (* (* c a) 4))
108.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
108.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify2.8s

Counts
100 → 100
Iterations
IterNodes
done5002
34569
21103
1400
0161

prune579.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.4b

localize18.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune85.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.4b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:
23.0ms
(/ (* a c) b)
32.0ms
(/ (* -2 (/ (* a c) b)) a)

series72.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* a c) b)
35.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.3s

Counts
55 → 55
Iterations
IterNodes
done5000
21437
1278
099

prune410.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.3b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
12.0ms
(/ -2 (* (/ 1 c) b))
10.0ms
(* (/ 1 c) b)

series49.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ -2 (* (/ 1 c) b))
16.0ms
(* (/ 1 c) b)

simplify2.4s

Counts
69 → 69
Iterations
IterNodes
done5084
33900
2900
1271
0111

prune207.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.3b

regimes564.0ms

Accuracy

0% (6.8b remaining)

Error of 12.0b against oracle of 5.2b and baseline of 12.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.3s16353×pre80true
1.2s4837×body160valid
834.0ms8353×body80nan
364.0ms1380×body320valid
174.0ms1783×body80valid