Details

Time bar (total: 12.6s)

sample250.0ms

Algorithm
intervals
Results
79.0ms109×body160valid
26.0ms112×body320valid
21.0ms266×body80nan
18.0ms522×pre80true
3.0msbody640valid
2.0ms26×body80valid

simplify149.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
01417
12417
24416
37916
49916
510716
done10716

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.6b

localize17.0ms

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))
30.4b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite214.0ms

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:
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
14.0ms
(- (* b b) (* (* 4.0 a) c))
121.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
64.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series507.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
62.0ms
(- (* b b) (* (* 4.0 a) c))
193.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
124.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.2s

Counts
84 → 84
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
01541592
14051496
217831332
done50021332

prune312.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize5.0ms

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

prune23.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.5b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
11.0ms
(/ (* a c) b)
23.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series68.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a c) b)
46.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.5s

Counts
57 → 57
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0107782
1345751
22490569
done5001543

prune146.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.4b
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
125×add-exp-log
69×prod-exp
61×add-cbrt-cube
32×div-exp
29×cbrt-unprod
16×cbrt-undiv
rec-exp 1-exp
pow1 associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
associate-*r/ pow-prod-down associate-/r*
div-inv add-log-exp
frac-times frac-2neg associate-*l* associate-*l/ clear-num un-div-inv *-commutative associate-/l*
Counts
2 → 83
Calls
2 calls:
16.0ms
(/ (* a c) b)
115.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* a c) b)
35.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

simplify2.7s

Counts
89 → 89
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01581467
15391304
23566955
done5000887

prune134.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 2.5b

regimes238.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.5s3615×body320valid
1.2s16159×pre80true
646.0ms8159×body80nan
586.0ms3016×body160valid
147.0ms465×body640valid
105.0ms904×body80valid