Details

Time bar (total: 3.2s)

analyze274.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample52.0ms

Algorithm
intervals
Results
19.0ms115×body320valid
10.0ms101×body160valid
8.0ms281×pre80true
3.0ms14×body640valid
1.0ms26×body80valid
1.0ms25×body80nan

simplify206.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (204.0ms)

IterNodesCost
0193116
1193116

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 52.4b

Counts
2 → 1

localize11.0ms

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) (* a 2.0))
25.7b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
4.0ms
(- (* b b) (* 4.0 (* a c)))
10.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
7.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series65.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
8.0ms
(- (* b b) (* 4.0 (* a c)))
27.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
16.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify39.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
053401316

prune175.0ms

Filtered
62 candidates to 82 candidates (-32.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New711182
Fresh000
Picked101
Done000
Total721183

Merged error: 3.3b

Counts
83 → 11

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune38.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01010
Picked011
Done000
Total01111

Merged error: 3.3b

Counts
11 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
15×add-sqr-sqrt
13×associate-*l*
11×cbrt-undiv times-frac div-exp
10×add-cube-cbrt *-un-lft-identity
4×pow1
3×associate-*r*
2×associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
2 → 62
Calls
2 calls:
9.0ms
(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
6.0ms
(* (/ a b) c)

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
5.0ms
(* (/ a b) c)

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04991490
14991490

prune132.0ms

Filtered
40 candidates to 68 candidates (-70.0%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New561268
Fresh099
Picked101
Done011
Total572279

Merged error: 3.2b

Counts
79 → 22

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ a b))
0.3b
(/ (* -2.0 (* (sqrt (/ a b)) (* c (sqrt (/ a b))))) (* a 2.0))
0.3b
(* c (sqrt (/ a b)))
0.4b
(* (sqrt (/ a b)) (* c (sqrt (/ a b))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log add-cbrt-cube
41×sqrt-prod
38×add-sqr-sqrt
30×times-frac
28×add-cube-cbrt *-un-lft-identity
20×prod-exp cbrt-unprod
19×associate-*l*
17×associate-*r*
12×pow1
10×sqrt-div associate-*r/
8×cbrt-undiv div-exp
4×pow-prod-down div-inv add-log-exp
3×associate-/l/ unswap-sqr
2×frac-times rem-sqrt-square associate-*l/ *-commutative
1×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/r* associate-/l*
Counts
4 → 125
Calls
4 calls:
3.0ms
(sqrt (/ a b))
14.0ms
(/ (* -2.0 (* (sqrt (/ a b)) (* c (sqrt (/ a b))))) (* a 2.0))
7.0ms
(* c (sqrt (/ a b)))
10.0ms
(* (sqrt (/ a b)) (* c (sqrt (/ a b))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (/ a b))
5.0ms
(/ (* -2.0 (* (sqrt (/ a b)) (* c (sqrt (/ a b))))) (* a 2.0))
9.0ms
(* c (sqrt (/ a b)))
6.0ms
(* (sqrt (/ a b)) (* c (sqrt (/ a b))))

simplify30.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050941198

prune116.0ms

Filtered
95 candidates to 137 candidates (-44.2%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1316137
Fresh51520
Picked101
Done011
Total13722159

Merged error: 3.2b

Counts
159 → 22

regimes366.0ms

Accuracy

0% (3.8b remaining)

Error of 6.4b against oracle of 2.6b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

sample1.5s

Algorithm
intervals
Results
539.0ms3663×body320valid
279.0ms2864×body160valid
261.0ms8850×pre80true
94.0ms483×body640valid
50.0ms990×body80valid
44.0ms850×body80nan

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