Details

Time bar (total: 12.1s)

sample247.0ms

Algorithm
intervals
Results
72.0ms106×body320valid
23.0ms254×body80nan
22.0ms104×body160valid
20.0ms510×pre80true
6.0ms15×body640valid
3.0ms31×body80valid

simplify115.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01417
12417
24416
37916
49916
510716
done10716

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(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))
29.7b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite238.0ms

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:
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
16.0ms
(- (* b b) (* (* 4.0 a) c))
144.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
51.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series476.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
79.0ms
(- (* b b) (* (* 4.0 a) c))
165.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
120.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: 2 (297.0ms)

IterNodesCost
01541592
14051496
217831332
done50021332

prune404.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.8b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune70.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.8b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

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:
26.0ms
(/ (* a c) b)
45.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series54.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a c) b)
31.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.3s

Counts
57 → 57
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0107782
1345751
22490569
done5001543

prune193.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.7b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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:
42.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))
16.0ms
(/ a (/ b c))

series78.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))
40.0ms
(/ a (/ b c))

simplify1.7s

Counts
106 → 106
Iterations

Useful iterations: 2 (504.0ms)

IterNodesCost
02101478
16001403
234821189
done50001189

prune348.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.7b

regimes362.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.6s3617×body320valid
1.3s8119×body80nan
710.0ms16119×pre80true
487.0ms2927×body160valid
193.0ms520×body640valid
69.0ms936×body80valid