Details

Time bar (total: 3.3s)

analyze269.0ms

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

sample49.0ms

Algorithm
intervals
Results
13.0ms129×body160valid
9.0ms59×body320valid
8.0ms287×pre80true
6.0ms68×body80valid
2.0ms31×body80nan

simplify203.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (201.0ms)

IterNodesCost
0193116
1193116

prune9.0ms

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: 42.5b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
0.2b
(- (* b b) (* 4.0 (* a c)))
34.9b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite29.0ms

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:
6.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
10.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
4.0ms
(- (* b b) (* 4.0 (* a c)))
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))))
26.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
8.0ms
(- (* b b) (* 4.0 (* a c)))
16.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify43.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050831316

prune202.0ms

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

prune56.0ms

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:

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

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

series10.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04978496
14978496

prune172.0ms

Filtered
39 candidates to 68 candidates (-74.4%)
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New541468
Fresh01212
Picked101
Done011
Total552782

Merged error: 5.2b

Counts
82 → 27

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* -2.0 (* (sqrt (* a (/ c b))) (sqrt (* a (/ c b))))) (* a 2.0))
0.2b
(* a (/ c b))
0.2b
(* a (/ c b))
0.6b
(* (sqrt (* a (/ c b))) (sqrt (* a (/ c b))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
57×pow1
37×add-exp-log add-cbrt-cube
36×add-sqr-sqrt
30×associate-*r*
28×sqrt-pow1
24×add-cube-cbrt *-un-lft-identity
22×pow-prod-down
21×times-frac
15×associate-*r/
14×prod-exp cbrt-unprod
10×pow1/2 associate-*l* pow-prod-up
8×cbrt-undiv sqrt-div div-exp
6×pow-sqr
5×unswap-sqr
4×swap-sqr sqrt-prod add-log-exp
3×*-commutative div-inv associate-/l/
2×frac-times associate-*l/
1×pow2 frac-2neg pow-plus sqrt-unprod clear-num associate-/r* rem-square-sqrt associate-/l*
Counts
4 → 144
Calls
4 calls:
17.0ms
(/ (* -2.0 (* (sqrt (* a (/ c b))) (sqrt (* a (/ c b))))) (* a 2.0))
6.0ms
(* a (/ c b))
7.0ms
(* a (/ c b))
11.0ms
(* (sqrt (* a (/ c b))) (sqrt (* a (/ c b))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* -2.0 (* (sqrt (* a (/ c b))) (sqrt (* a (/ c b))))) (* a 2.0))
5.0ms
(* a (/ c b))
5.0ms
(* a (/ c b))
15.0ms
(* (sqrt (* a (/ c b))) (sqrt (* a (/ c b))))

simplify61.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04981995
14981995

prune122.0ms

Filtered
85 candidates to 156 candidates (-83.5%)
Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1533156
Fresh22325
Picked011
Done011
Total15528183

Merged error: 5.2b

Counts
183 → 28

regimes502.0ms

Accuracy

11.5% (6.0b remaining)

Error of 11.2b against oracle of 5.1b and baseline of 12.0b

bsearch8.0ms

Steps
ItersRangePoint
1
0.07766383016271834
0.0832486909193277
0.08185247573017536

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
016739
116739

end0.0ms

sample1.3s

Algorithm
intervals
Results
508.0ms4871×body160valid
264.0ms8929×pre80true
206.0ms1350×body320valid
96.0ms1779×body80valid
47.0ms929×body80nan

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