Details

Time bar (total: 3.3s)

analyze272.0ms

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
15.0ms102×body320valid
10.0ms99×body160valid
8.0ms286×pre80true
5.0ms24×body640valid
2.0ms31×body80valid
1.0ms30×body80nan

simplify202.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (200.0ms)

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: 52.5b

Counts
2 → 1

localize12.0ms

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))
30.7b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite28.0ms

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 → 70
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
4.0ms
(- (* b b) (* 4.0 (* a c)))
11.0ms
(/ (- (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:
16.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
8.0ms
(- (* b b) (* 4.0 (* a c)))
25.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
15.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify38.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
053401316

prune168.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New73982
Fresh000
Picked101
Done000
Total74983

Merged error: 2.6b

Counts
83 → 9

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

prune30.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New000
Fresh088
Picked011
Done000
Total099

Merged error: 2.6b

Counts
9 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ a b) c)
0.3b
(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

rewrite18.0ms

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
pow1
associate-*r*
associate-*l/ div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
2 → 62
Calls
2 calls:
6.0ms
(* (/ a b) c)
9.0ms
(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

series10.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04991490
14991490

prune120.0ms

Filtered
42 candidates to 68 candidates (-61.9%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New59968
Fresh077
Picked101
Done011
Total601777

Merged error: 2.6b

Counts
77 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
120×sqrt-prod
113×add-exp-log add-cbrt-cube
109×times-frac
85×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×prod-exp cbrt-unprod
40×associate-*l*
33×cbrt-undiv div-exp
13×associate-/r* associate-/l*
pow1 associate-*r/
div-inv add-log-exp
frac-2neg pow-prod-down clear-num associate-/l/
frac-times sqrt-undiv associate-*l/
associate-*r* *-commutative
Counts
4 → 236
Calls
4 calls:
19.0ms
(/ (* -2.0 (* (/ (sqrt a) (sqrt b)) (* c (/ (sqrt a) (sqrt b))))) (* a 2.0))
18.0ms
(* (/ (sqrt a) (sqrt b)) (* c (/ (sqrt a) (sqrt b))))
5.0ms
(/ (sqrt a) (sqrt b))
5.0ms
(/ (sqrt a) (sqrt b))

series46.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* -2.0 (* (/ (sqrt a) (sqrt b)) (* c (/ (sqrt a) (sqrt b))))) (* a 2.0))
11.0ms
(* (/ (sqrt a) (sqrt b)) (* c (/ (sqrt a) (sqrt b))))
9.0ms
(/ (sqrt a) (sqrt b))
10.0ms
(/ (sqrt a) (sqrt b))

simplify78.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049692579
149692579

prune153.0ms

Filtered
132 candidates to 248 candidates (-87.9%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New2417248
Fresh11415
Picked101
Done011
Total24322265

Merged error: 2.6b

Counts
265 → 22

regimes378.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

sample1.5s

Algorithm
intervals
Results
548.0ms3707×body320valid
291.0ms2894×body160valid
268.0ms8873×pre80true
102.0ms497×body640valid
46.0ms902×body80valid
44.0ms873×body80nan

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