Details

Time bar (total: 3.1s)

analyze264.0ms

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

sample46.0ms

Algorithm
intervals
Results
14.0ms150×body160valid
10.0ms284×pre80true
7.0ms52×body320valid
3.0ms54×body80valid
1.0ms28×body80nan

simplify210.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (208.0ms)

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: 45.1b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(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))
38.7b
(- (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)))
11.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
7.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series64.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(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))
17.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify40.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
053401316

prune185.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New681482
Fresh000
Picked101
Done000
Total691483

Merged error: 5.3b

Counts
83 → 14

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

prune49.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 5.3b

Counts
14 → 14

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)

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (* -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

prune152.0ms

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

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New541468
Fresh01212
Picked101
Done011
Total552782

Merged error: 5.3b

Counts
82 → 27

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log add-cbrt-cube
30×prod-exp cbrt-unprod
24×add-sqr-sqrt
14×cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp associate-*l*
12×times-frac associate-*r*
10×pow1
8×sqrt-prod
5×associate-*l/
4×pow-prod-down unswap-sqr
3×add-log-exp
2×*-commutative div-inv
1×frac-2neg associate-*r/ clear-num associate-/r* associate-/l/ associate-/l*
Counts
3 → 95
Calls
3 calls:
12.0ms
(/ (* -2.0 (* (* (/ a b) (sqrt c)) (sqrt c))) (* a 2.0))
8.0ms
(* (* (/ a b) (sqrt c)) (sqrt c))
7.0ms
(* (/ a b) (sqrt c))

series29.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (* -2.0 (* (* (/ a b) (sqrt c)) (sqrt c))) (* a 2.0))
8.0ms
(* (* (/ a b) (sqrt c)) (sqrt c))
10.0ms
(* (/ a b) (sqrt c))

simplify29.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05341981

prune74.0ms

Filtered
56 candidates to 104 candidates (-85.7%)
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New977104
Fresh42125
Picked101
Done011
Total10229131

Merged error: 5.2b

Counts
131 → 29

regimes483.0ms

Accuracy

11.8% (6.0b remaining)

Error of 11.0b against oracle of 5.0b and baseline of 11.8b

bsearch45.0ms

Steps
ItersRangePoint
6
2.1910963455332108e-05
0.00021632628369198261
0.0002131446468673785

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09639
19639

end0.0ms

sample1.2s

Algorithm
intervals
Results
455.0ms4822×body160valid
258.0ms8938×pre80true
188.0ms1378×body320valid
90.0ms1800×body80valid
43.0ms938×body80nan

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