Details

Time bar (total: 1.6s)

analyze7.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
3.0ms256×pre80true

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0550715

prune8.0ms

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: 0.3b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* i (* 2.0 2.0)) (/ 1.0 i))
0.3b
(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp cbrt-unprod associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num associate-/r* div-inv
Counts
2 → 36
Calls
2 calls:
7.0ms
(- (* i (* 2.0 2.0)) (/ 1.0 i))
17.0ms
(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- (* i (* 2.0 2.0)) (/ 1.0 i))
6.0ms
(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04891638
14891638

prune65.0ms

Filtered
31 candidates to 42 candidates (-35.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh101
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i)))
0.3b
(* (/ (sqrt i) 2.0) (/ (sqrt i) (- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i)))))
0.5b
(/ (sqrt i) (- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
66×times-frac
44×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
24×associate-*r*
22×associate-*l*
17×add-exp-log add-cbrt-cube
9×unswap-sqr
6×associate-/l*
5×pow1 cbrt-undiv div-exp add-log-exp
4×prod-exp associate-/r/ cbrt-unprod
3×flip3-- associate-/r* flip-- div-inv
1×frac-times sub-neg frac-2neg diff-log associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 127
Calls
3 calls:
5.0ms
(- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i)))
21.0ms
(* (/ (sqrt i) 2.0) (/ (sqrt i) (- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i)))))
7.0ms
(/ (sqrt i) (- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i)))
7.0ms
(* (/ (sqrt i) 2.0) (/ (sqrt i) (- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i)))))
7.0ms
(/ (sqrt i) (- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i))))

simplify40.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
049912843
149912843

prune230.0ms

Filtered
96 candidates to 136 candidates (-41.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done011
Total1364140

Merged error: 0b

Counts
140 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
0.0b
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity diff-log sum-log add-cbrt-cube
1×+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ associate--r+
Counts
2 → 24
Calls
2 calls:
7.0ms
(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
5.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
13.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify39.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05071586

prune54.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New30030
Fresh011
Picked011
Done022
Total30434

Merged error: 0b

Counts
34 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 0.00390625 (pow i 4)) (+ (/ 0.015625 (* i i)) 0.0625))
0.1b
(/ 0.00390625 (pow i 4))
0.5b
(/ 0.015625 (* i i))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
13×add-exp-log
12×unpow-prod-down
10×add-cbrt-cube
8×associate-/r* add-log-exp
6×associate-/l*
5×div-exp
4×sqr-pow
3×pow1 cbrt-undiv sum-log distribute-lft-out
2×frac-2neg flip3-+ frac-add clear-num flip-+ div-inv
1×+-commutative pow-to-exp associate-+r+ pow-exp prod-exp cbrt-unprod
Counts
3 → 83
Calls
3 calls:
16.0ms
(+ (/ 0.00390625 (pow i 4)) (+ (/ 0.015625 (* i i)) 0.0625))
4.0ms
(/ 0.00390625 (pow i 4))
4.0ms
(/ 0.015625 (* i i))

series10.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (/ 0.00390625 (pow i 4)) (+ (/ 0.015625 (* i i)) 0.0625))
3.0ms
(/ 0.00390625 (pow i 4))
3.0ms
(/ 0.015625 (* i i))

simplify53.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04939966
14939966

prune110.0ms

Filtered
62 candidates to 92 candidates (-48.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done033
Total92496

Merged error: 0b

Counts
96 → 4

regimes30.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03015
13015

end0.0ms

sample617.0ms

Algorithm
intervals
Results
434.0ms8000×body80valid
83.0ms8000×pre80true

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