Details

Time bar (total: 13.2s)

sample103.0ms

Algorithm
intervals
Results
22.0ms523×pre80true
18.0ms110×body320valid
14.0ms267×body80nan
11.0ms98×body160valid
5.0ms24×body640valid
2.0ms24×body80valid

simplify117.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
25.8b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
15×sqrt-prod
14×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
7×fma-neg
6×times-frac associate-/l* difference-of-squares
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×flip3-- associate-*r* pow-prod-down flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
151.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
17.0ms
(* (* 3.0 a) c)
75.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series381.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (* b b) (* (* 3.0 a) c))
155.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.0ms
(* (* 3.0 a) c)
113.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.9s

Counts
121 → 121
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02012338
15432075
231131752
done50011750

prune412.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

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

prune35.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 84
Calls
3 calls:
12.0ms
(/ (* a c) b)
36.0ms
(* -1.5 (/ (* a c) b))
32.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series119.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (* a c) b)
48.0ms
(* -1.5 (/ (* a c) b))
27.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01291138
14011097
22851877
done5001853

prune354.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (sqrt b))
0.3b
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
0.4b
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))
0.4b
(* -1.5 (/ a (sqrt b)))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log add-cbrt-cube
57×times-frac
54×add-sqr-sqrt
46×add-cube-cbrt *-un-lft-identity
44×associate-*r*
39×prod-exp cbrt-unprod
31×cbrt-undiv div-exp sqrt-prod
11×pow1
7×associate-*r/ associate-/r*
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u div-inv associate-/l* add-log-exp
3×associate-/l/ unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
Counts
4 → 181
Calls
4 calls:
13.0ms
(/ a (sqrt b))
55.0ms
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
83.0ms
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))
28.0ms
(* -1.5 (/ a (sqrt b)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ a (sqrt b))
72.0ms
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
63.0ms
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))
103.0ms
(* -1.5 (/ a (sqrt b)))

simplify627.0ms

Counts
193 → 193
Iterations

Useful iterations: done (617.0ms)

IterNodesCost
02933002
19322746
done50002266

prune733.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.5b

regimes436.0ms

Accuracy

0% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.3s3662×body320valid
1.2s8294×body80nan
612.0ms16294×pre80true
610.0ms2941×body160valid
138.0ms518×body640valid
58.0ms879×body80valid