Details

Time bar (total: 10.9s)

sample90.0ms

Algorithm
intervals
Results
22.0ms292×body80nan
19.0ms174×body160valid
13.0ms548×pre80true
5.0ms29×body320valid
3.0ms53×body80valid

simplify95.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01417
12417
24416
37916
49916
510716
done10716

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
38.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-log-exp
add-cube-cbrt
times-frac sqrt-prod associate-/l* difference-of-squares
pow1
flip3-- flip--
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
21.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
16.0ms
(- (* b b) (* (* 4.0 a) c))
108.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
68.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series437.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
59.0ms
(- (* b b) (* (* 4.0 a) c))
154.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
122.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.0s

Counts
84 → 84
Iterations

Useful iterations: 2 (266.0ms)

IterNodesCost
01541592
14051496
217831332
done50021332

prune322.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.1b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune29.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
10.0ms
(/ (* a c) b)
36.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series62.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* a c) b)
27.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.3s

Counts
57 → 57
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0107782
1345751
22490569
done5001543

prune175.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 6.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ a (/ b c))
0.3b
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×add-exp-log add-cbrt-cube
17×cbrt-undiv div-exp
14×associate-/r*
10×prod-exp cbrt-unprod
div-inv
associate-/l*
pow1 frac-2neg clear-num add-log-exp
associate-*r/ associate-/r/ associate-/l/
Counts
2 → 100
Calls
2 calls:
14.0ms
(/ a (/ b c))
22.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

series89.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ a (/ b c))
49.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

simplify1.6s

Counts
106 → 106
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02101478
16001403
235021189
done50021177

prune356.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.9b

regimes461.0ms

Accuracy

0% (6.8b remaining)

Error of 12.0b against oracle of 5.1b and baseline of 12.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.1s4845×body160valid
861.0ms1355×body320valid
848.0ms16030×pre80true
657.0ms8030×body80nan
177.0ms1800×body80valid