Details

Time bar (total: 3.7s)

analyze302.0ms

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

sample55.0ms

Algorithm
intervals
Results
21.0ms126×body320valid
9.0ms289×pre80true
8.0ms86×body160valid
3.0ms17×body640valid
2.0ms33×body80nan
1.0ms27×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03017
13017

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 52.9b

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
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
24.0b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite30.0ms

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:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
5.0ms
(- (* b b) (* (* 4.0 a) c))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series64.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(- (* b b) (* (* 4.0 a) c))
26.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
16.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify46.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050921264

prune135.0ms

Filtered
64 candidates to 81 candidates (-26.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New77481
Fresh000
Picked101
Done000
Total78482

Merged error: 0.1b

Counts
82 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.1b
(- (* b b) (* 4.0 (* a c)))
0.2b
(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
0.3b
(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log add-cbrt-cube
34×times-frac
30×add-sqr-sqrt *-un-lft-identity
17×cbrt-undiv div-exp
14×associate-/l*
13×prod-exp cbrt-unprod
10×add-cube-cbrt distribute-lft-out-- add-log-exp difference-of-squares
8×associate-/r*
6×associate-/r/
5×flip3-- distribute-rgt-neg-in sqrt-prod flip--
4×pow1 div-inv
3×diff-log
2×sub-neg frac-2neg clear-num
1×associate--l- neg-sub0 neg-log associate-/l/
Counts
4 → 115
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
3.0ms
(- (* b b) (* 4.0 (* a c)))
16.0ms
(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
13.0ms
(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

series130.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(- (* b b) (* 4.0 (* a c)))
45.0ms
(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
61.0ms
(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051082561

prune189.0ms

Filtered
79 candidates to 127 candidates (-60.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1216127
Fresh213
Picked101
Done000
Total1247131

Merged error: 0b

Counts
131 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* 4.0 (* a c))))
0.0b
(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
0.1b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.1b
(- (* b b) (* 4.0 (* a c)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
21×times-frac
17×add-cube-cbrt
10×distribute-lft-out-- add-log-exp difference-of-squares
8×sqrt-prod
7×associate-/r*
6×add-exp-log add-cbrt-cube
5×pow1 distribute-rgt-neg-in
4×flip3-- flip--
3×diff-log associate-/l*
2×sub-neg sqrt-div associate-/r/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp neg-log clear-num div-inv
Counts
4 → 88
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
10.0ms
(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
8.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
4.0ms
(- (* b b) (* 4.0 (* a c)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
49.0ms
(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
16.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(- (* b b) (* 4.0 (* a c)))

simplify61.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049421771
149421771

prune152.0ms

Filtered
71 candidates to 100 candidates (-40.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh426
Picked101
Done000
Total1025107

Merged error: 0b

Counts
107 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.1b
(- (* b b) (* 4.0 (* a c)))
0.1b
(/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
0.3b
(* c (/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
61×*-un-lft-identity
44×times-frac
28×add-cube-cbrt
27×associate-*r*
17×add-exp-log
16×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube
10×add-log-exp
8×distribute-rgt-neg-in sqrt-prod
7×pow1 associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×diff-log associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv sub-neg rec-exp 1-exp cbrt-unprod div-inv
1×associate--l- neg-sub0 pow-flip frac-2neg associate-*r/ pow-prod-down neg-log clear-num un-div-inv *-commutative inv-pow
Counts
4 → 127
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
4.0ms
(- (* b b) (* 4.0 (* a c)))
12.0ms
(/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
16.0ms
(* c (/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(- (* b b) (* 4.0 (* a c)))
28.0ms
(/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
48.0ms
(* c (/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
055522346

prune182.0ms

Filtered
87 candidates to 139 candidates (-59.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1390139
Fresh044
Picked011
Done000
Total1395144

Merged error: 0b

Counts
144 → 5

regimes157.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02221
12221

end0.0ms

analyze267.0ms

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

sample1.5s

Algorithm
intervals
Results
545.0ms3664×body320valid
292.0ms2903×body160valid
261.0ms8865×pre80true
102.0ms531×body640valid
46.0ms902×body80valid
44.0ms865×body80nan

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