Details

Time bar (total: 1.2s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01365
11365

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 14
Calls
1 calls:
6.0ms
(- x (/ 1.0 3.0))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- x (/ 1.0 3.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04960142
14960142

prune27.0ms

Filtered
13 candidates to 17 candidates (-30.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16117
Fresh000
Picked011
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (sqrt x) (sqrt (/ 1.0 3.0)))
0.0b
(- (sqrt x) (sqrt (/ 1.0 3.0)))
0.2b
(* (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
22×sqrt-prod
21×*-un-lft-identity
12×difference-of-squares
11×associate-*r*
7×add-log-exp
5×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
4×frac-times flip3-- flip3-+ times-frac flip-- flip-+ distribute-lft-out distribute-lft-out--
3×sub-neg
2×associate-*r/ associate-*l/
1×+-commutative distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 70
Calls
3 calls:
8.0ms
(+ (sqrt x) (sqrt (/ 1.0 3.0)))
9.0ms
(- (sqrt x) (sqrt (/ 1.0 3.0)))
21.0ms
(* (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (sqrt x) (sqrt (/ 1.0 3.0)))
4.0ms
(- (sqrt x) (sqrt (/ 1.0 3.0)))
12.0ms
(* (+ (sqrt x) (sqrt (/ 1.0 3.0))) (- (sqrt x) (sqrt (/ 1.0 3.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049661080
149661080

prune126.0ms

Filtered
60 candidates to 79 candidates (-31.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New78179
Fresh000
Picked101
Done011
Total79281

Merged error: 0.0b

Counts
81 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt (sqrt x)) (sqrt (sqrt (/ 1.0 3.0)))))
0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.1b
(* (* (+ (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt (sqrt x)) (sqrt (sqrt (/ 1.0 3.0))))) (- (sqrt (sqrt x)) (sqrt (sqrt (/ 1.0 3.0)))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
61×sqrt-prod
44×add-sqr-sqrt
32×frac-times
27×*-un-lft-identity
24×flip3-+ associate-*r* flip-+
16×associate-*l/
15×pow1
12×difference-of-squares
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×sqrt-pow1
6×associate-*l*
5×distribute-lft-out
4×rem-sqrt-square pow1/2 pow-prod-down prod-exp cbrt-unprod add-log-exp
3×times-frac distribute-lft-out--
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative
1×unswap-sqr
Counts
4 → 132
Calls
4 calls:
23.0ms
(* (+ (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt (sqrt x)) (sqrt (sqrt (/ 1.0 3.0)))))
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
42.0ms
(* (* (+ (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt (sqrt x)) (sqrt (sqrt (/ 1.0 3.0))))) (- (sqrt (sqrt x)) (sqrt (sqrt (/ 1.0 3.0)))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt (sqrt x)) (sqrt (sqrt (/ 1.0 3.0)))))
18.0ms
(sqrt (sqrt x))
15.0ms
(sqrt (sqrt x))
29.0ms
(* (* (+ (sqrt x) (sqrt (/ 1.0 3.0))) (+ (sqrt (sqrt x)) (sqrt (sqrt (/ 1.0 3.0))))) (- (sqrt (sqrt x)) (sqrt (sqrt (/ 1.0 3.0)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
052003082

prune341.0ms

Filtered
97 candidates to 144 candidates (-48.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done011
Total1442146

Merged error: 0.0b

Counts
146 → 2

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0225
1225

end0.0ms

sample267.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid

Profiling

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