Details

Time bar (total: 15.1s)

sample144.0ms

Algorithm
intervals
Results
51.0ms300×body80nan
35.0ms151×body160valid
24.0ms556×pre80true
11.0ms105×body80valid

simplify110.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.3b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.3b
(- (* b b) (* (* c a) 4))
29.6b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite164.0ms

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:
15.0ms
(sqrt (- (* b b) (* (* c a) 4)))
86.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
15.0ms
(- (* b b) (* (* c a) 4))
46.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series406.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(sqrt (- (* b b) (* (* c a) 4)))
117.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
72.0ms
(- (* b b) (* (* c a) 4))
128.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.8s

Counts
100 → 100
Iterations
IterNodes
33590
21095
1398
0161

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.0b

localize21.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune91.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
25.0ms
(/ (* -2 (/ (* a c) b)) a)
15.0ms
(/ (* a c) b)

series56.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* -2 (/ (* a c) b)) a)
22.0ms
(/ (* a c) b)

simplify3.0s

Counts
55 → 55
Iterations
IterNodes
36587
21060
1263
099

prune442.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
0.3b
(/ (/ (* a c) (sqrt b)) (sqrt b))
0.4b
(/ (* a c) (sqrt b))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
60×sqrt-prod
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
37×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
15×associate-/r*
12×associate-/l*
10×div-inv
7×prod-exp cbrt-unprod
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×associate-/l/
1×associate-*r/
Counts
3 → 151
Calls
3 calls:
46.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
16.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
9.0ms
(/ (* a c) (sqrt b))

series209.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
75.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
63.0ms
(/ (* a c) (sqrt b))

simplify570.0ms

Counts
160 → 160
Iterations
IterNodes
22078
1625
0236

prune1.0s

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 8.9b

regimes877.0ms

Accuracy

47% (7.2b remaining)

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

bsearch27.0ms

Steps
ItersRangePoint
1
2613.6351163624354
2762.567042685954
2650.8680979433148

simplify12.0ms

Iterations
IterNodes
235
135
026

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.3s4497×body160valid
1.1s8561×body80nan
1.1s16561×pre80true
962.0ms3503×body80valid