Details

Time bar (total: 4.4s)

analyze456.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
25%68.6%6.4%7
31.2%62.4%6.4%8
36.7%54.6%8.7%9
38.2%48.4%13.4%10
42.7%42.3%15%11
47.8%34.1%18.1%12
49.1%30.3%20.5%13
51.9%25.8%22.3%14

sample44.0ms

Algorithm
intervals
Results
12.0ms38×body2560valid
8.0ms164×body80valid
6.0ms26×body1280valid
2.0ms12×body640valid
1.0ms22×body80nan
1.0ms7×body320valid
1.0ms2×body5120valid
1.0ms7×body160valid
0.0ms7×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02717
12717

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.0b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.8b
(- (* b b) (* (* 3.0 a) c))
2.2b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
23.3b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 69
Calls
4 calls:
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms
(- (* b b) (* (* 3.0 a) c))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
4.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
9.0ms
(- (* b b) (* (* 3.0 a) c))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
15.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify47.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050221266

prune166.0ms

Filtered
63 candidates to 81 candidates (-28.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New711081
Fresh101
Picked011
Done000
Total721183

Merged error: 6.0b

Counts
83 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* b b) (* 3.0 (* a c)))
4.3b
(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
10.7b
(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
23.3b
(sqrt (- (* b b) (* 3.0 (* a c))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log add-cbrt-cube
34×times-frac
28×add-sqr-sqrt
27×*-un-lft-identity
17×cbrt-undiv div-exp
14×associate-/l*
13×prod-exp cbrt-unprod
11×add-cube-cbrt
8×associate-/r* distribute-lft-out-- difference-of-squares
7×sqrt-prod
6×associate-/r/ add-log-exp
5×pow1 flip3-- flip--
4×distribute-rgt-neg-in div-inv
2×frac-2neg sqrt-div clear-num
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log associate-/l/
Counts
4 → 113
Calls
4 calls:
3.0ms
(- (* b b) (* 3.0 (* a c)))
16.0ms
(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
13.0ms
(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms
(sqrt (- (* b b) (* 3.0 (* a c))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* 3.0 (* a c)))
48.0ms
(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
59.0ms
(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
15.0ms
(sqrt (- (* b b) (* 3.0 (* a c))))

simplify51.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050432308

prune179.0ms

Filtered
79 candidates to 125 candidates (-58.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1232125
Fresh279
Picked101
Done101
Total1279136

Merged error: 6.0b

Counts
136 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* a c))
0.5b
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.8b
(- (* b b) (* 3.0 (* a c)))
23.3b
(sqrt (- (* b b) (* 3.0 (* a c))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 *-un-lft-identity add-log-exp
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
4×sqrt-prod
3×flip3-- diff-log associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod
2×sub-neg sqrt-div distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 pow1/2 associate-*r* neg-log *-commutative
Counts
4 → 61
Calls
4 calls:
5.0ms
(* 3.0 (* a c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
3.0ms
(- (* b b) (* 3.0 (* a c)))
4.0ms
(sqrt (- (* b b) (* 3.0 (* a c))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* a c))
16.0ms
(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms
(- (* b b) (* 3.0 (* a c)))
14.0ms
(sqrt (- (* b b) (* 3.0 (* a c))))

simplify60.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04960873
14960873

prune108.0ms

Filtered
51 candidates to 73 candidates (-43.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh268
Picked011
Done000
Total73982

Merged error: 5.9b

Counts
82 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (* 3.0 a))
0.8b
(- (* b b) (* (* 3.0 a) c))
2.2b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
23.3b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
11×*-un-lft-identity
10×add-log-exp
9×add-cbrt-cube
8×pow1 add-sqr-sqrt
7×add-cube-cbrt
4×div-exp
3×times-frac prod-exp sqrt-prod associate-/l*
2×cbrt-undiv rec-exp flip3-- pow-flip sqrt-div 1-exp sum-log flip-- distribute-lft-out
1×+-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square distribute-rgt-neg-in frac-2neg sqrt-pow1 flip3-+ pow1/2 diff-log pow-prod-down neg-log clear-num associate-/r* cbrt-unprod flip-+ div-inv inv-pow
Counts
4 → 69
Calls
4 calls:
4.0ms
(/ 1 (* 3.0 a))
3.0ms
(- (* b b) (* (* 3.0 a) c))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
5.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (* 3.0 a))
9.0ms
(- (* b b) (* (* 3.0 a) c))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
15.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify42.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05332835

prune94.0ms

Filtered
57 candidates to 81 candidates (-42.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh077
Picked011
Done011
Total81990

Merged error: 5.9b

Counts
90 → 9

regimes465.0ms

Accuracy

94.2% (1.4b remaining)

Error of 7.1b against oracle of 5.8b and baseline of 29.5b

bsearch479.0ms

Steps
ItersRangePoint
6
1.1854141689089525e+74
7.676890134818178e+74
4.368309521491964e+74
7
-1.3009819705747696e-276
-1.3298557033217364e-278
-1.0616583834882925e-277
4
-9.9934107717944e+64
-5.011713738612214e+64
-9.829798338106969e+64

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05870
15870

end0.0ms

analyze450.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%74.9%0.1%6
25%68.6%6.4%7
31.2%62.4%6.4%8
36.7%54.6%8.7%9
38.2%48.4%13.4%10
42.7%42.3%15%11
47.8%34.1%18.1%12
49.1%30.3%20.5%13
51.9%25.8%22.3%14

sample1.3s

Algorithm
intervals
Results
331.0ms1098×body2560valid
272.0ms5032×body80valid
225.0ms896×body1280valid
96.0ms484×body640valid
45.0ms117×body5120valid
39.0ms655×body80nan
34.0ms231×body320valid
20.0ms377×body80invalid
14.0ms142×body160valid

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