Details

Time bar (total: 6.2s)

sample57.0ms

Algorithm
intervals
Results
11.0ms110×body320valid
9.0ms525×pre80true
8.0ms269×body80nan
6.0ms99×body160valid
2.0ms17×body640valid
1.0ms30×body80valid

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
0.2b
(* (* 3.0 a) c)
26.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
147×add-sqr-sqrt
113×*-un-lft-identity
79×add-cube-cbrt
34×difference-of-squares
28×associate-/l*
17×sqrt-prod distribute-lft-out--
16×add-exp-log add-cbrt-cube
pow1
associate-/r* div-inv add-log-exp
cbrt-undiv div-exp
div-sub associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l/
flip3-- frac-2neg clear-num flip--
sub-neg diff-log associate-*l* *-commutative
Counts
4 → 182
Calls
4 calls:
77.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
72.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
17.0ms
(* (* 3.0 a) c)
43.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series301.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
106.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
20.0ms
(* (* 3.0 a) c)
84.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.2s

Counts
194 → 194
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02874775
16894627
219844417
done50004407

prune493.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.7b

localize3.0ms

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

prune30.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -0.5 (/ (* a c) b)) a)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
cbrt-undiv div-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
prod-exp cbrt-unprod
pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 47
Calls
2 calls:
9.0ms
(/ (* a c) b)
20.0ms
(/ (* -0.5 (/ (* a c) b)) a)

series41.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* a c) b)
22.0ms
(/ (* -0.5 (/ (* a c) b)) a)

simplify1.1s

Counts
53 → 53
Iterations

Useful iterations: done (1.1s)

IterNodesCost
097568
1253547
21082427
done5001353

prune119.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.7b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (* -0.5 (* a c)) (* b a))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp
pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
22.0ms
(/ (* -0.5 (* a c)) (* b a))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (* -0.5 (* a c)) (* b a))

simplify619.0ms

Counts
28 → 28
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
067410
1211395
21357269
done5001269

prune34.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 2.7b

regimes219.0ms

Accuracy

0% (3.8b remaining)

Error of 6.5b against oracle of 2.7b and baseline of 6.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample1.7s

Algorithm
intervals
Results
346.0ms3575×body320valid
289.0ms16199×pre80true
257.0ms8199×body80nan
193.0ms2959×body160valid
67.0ms524×body640valid
33.0ms942×body80valid