Details

Time bar (total: 14.8s)

sample105.0ms

Algorithm
intervals
Results
20.0ms137×body160valid
19.0ms269×body80nan
17.0ms525×pre80true
9.0ms119×body80valid

simplify107.0ms

Counts
1 → 1
Iterations
IterNodes
done111
5111
4102
378
244
124
014

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
0.3b
(- (* b b) (* (* c a) 4.0))
28.5b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
5×pow1 div-inv
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 149
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
88.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
15.0ms
(- (* b b) (* (* c a) 4.0))
55.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series466.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
174.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
58.0ms
(- (* b b) (* (* c a) 4.0))
142.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.4s

Counts
161 → 161
Iterations
IterNodes
done5001
23070
1693
0280

prune990.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.0b

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

prune159.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 9.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* (* c a) -2.0) b)
0.3b
(/ (/ (/ (* (* c a) -2.0) b) 2.0) a)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
198×times-frac
86×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
31×add-cbrt-cube add-exp-log
26×associate-/l*
18×div-inv
15×cbrt-undiv div-exp
6×associate-/r* prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 147
Calls
2 calls:
16.0ms
(/ (* (* c a) -2.0) b)
45.0ms
(/ (/ (/ (* (* c a) -2.0) b) 2.0) a)

series60.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* (* c a) -2.0) b)
27.0ms
(/ (/ (/ (* (* c a) -2.0) b) 2.0) a)

simplify1.7s

Counts
153 → 153
Iterations
IterNodes
done5001
24844
1827
0324

prune1.1s

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 8.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (/ b (* a (* c -2.0))))
0.3b
(/ b (* a (* c -2.0)))
0.3b
(/ (/ (/ 1 (/ b (* a (* c -2.0)))) 2.0) a)

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
380×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
109×add-exp-log
88×associate-/l*
64×div-exp
59×div-inv
53×add-cbrt-cube
28×cbrt-undiv
21×prod-exp
13×associate-/r/
11×associate-/r*
9×cbrt-unprod
8×rec-exp 1-exp
4×pow1
3×clear-num frac-2neg add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 445
Calls
3 calls:
31.0ms
(/ 1 (/ b (* a (* c -2.0))))
24.0ms
(/ b (* a (* c -2.0)))
77.0ms
(/ (/ (/ 1 (/ b (* a (* c -2.0)))) 2.0) a)

series134.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ 1 (/ b (* a (* c -2.0))))
50.0ms
(/ b (* a (* c -2.0)))
30.0ms
(/ (/ (/ 1 (/ b (* a (* c -2.0)))) 2.0) a)

simplify1.5s

Counts
454 → 454
Iterations
IterNodes
done5001
12431
0874

prune1.7s

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 8.9b

regimes1.1s

Accuracy

48.8% (7.0b remaining)

Error of 16.0b against oracle of 9.0b and baseline of 22.7b

bsearch19.0ms

Steps
ItersRangePoint
1
450.112367990916
472.14512651485234
455.6205576219001

simplify5.0ms

Iterations
IterNodes
done25
125
021

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.1s16702×pre80true
832.0ms8702×body80nan
757.0ms4463×body160valid
418.0ms3537×body80valid