Details

Time bar (total: 2.1s)

analyze6.0ms

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

sample21.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms256×pre80true

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
0550715

prune7.0ms

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: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* i (* 2.0 2.0)) (/ 1.0 i))
0.1b
(/ i (* 2.0 (* 2.0 (- (* i (* 2.0 2.0)) (/ 1.0 i)))))

rewrite24.0ms

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))
16.0ms
(/ 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)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (51.0ms)

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: 0.0b

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)))
0.2b
(/ (sqrt i) (- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i))))
0.2b
(* (/ (sqrt i) 2.0) (/ (sqrt i) (- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i)))))

rewrite39.0ms

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)))
7.0ms
(/ (sqrt i) (- (* (pow 2.0 3) i) (* 2.0 (/ 1.0 i))))
22.0ms
(* (/ (sqrt i) 2.0) (/ (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) (- (* (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)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049912843
149912843

prune208.0ms

Filtered
97 candidates to 136 candidates (-40.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1351136
Fresh112
Picked011
Done011
Total1364140

Merged error: 0b

Counts
140 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (/ (sqrt i) 2.0))
0.2b
(* (sqrt (/ (sqrt i) 2.0)) (* (/ (sqrt i) (- (* i (pow 2.0 3)) (* 2.0 (/ 1.0 i)))) (sqrt (/ (sqrt i) 2.0))))
0.2b
(/ (sqrt i) (- (* i (pow 2.0 3)) (* 2.0 (/ 1.0 i))))
0.2b
(* (/ (sqrt i) (- (* i (pow 2.0 3)) (* 2.0 (/ 1.0 i)))) (sqrt (/ (sqrt i) 2.0)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
131×sqrt-prod
116×add-sqr-sqrt
106×times-frac
73×add-cube-cbrt *-un-lft-identity
49×associate-*l*
26×associate-*r*
20×add-exp-log add-cbrt-cube
12×pow1 unswap-sqr
11×sqrt-div
7×prod-exp cbrt-unprod
6×frac-times associate-*r/ associate-/l*
5×div-inv
4×pow-prod-down associate-*l/ associate-/r/ add-log-exp
3×cbrt-undiv rem-sqrt-square div-exp associate-/r*
2×flip3-- *-commutative flip--
1×frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 202
Calls
4 calls:
4.0ms
(sqrt (/ (sqrt i) 2.0))
20.0ms
(* (sqrt (/ (sqrt i) 2.0)) (* (/ (sqrt i) (- (* i (pow 2.0 3)) (* 2.0 (/ 1.0 i)))) (sqrt (/ (sqrt i) 2.0))))
7.0ms
(/ (sqrt i) (- (* i (pow 2.0 3)) (* 2.0 (/ 1.0 i))))
26.0ms
(* (/ (sqrt i) (- (* i (pow 2.0 3)) (* 2.0 (/ 1.0 i)))) (sqrt (/ (sqrt i) 2.0)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (/ (sqrt i) 2.0))
13.0ms
(* (sqrt (/ (sqrt i) 2.0)) (* (/ (sqrt i) (- (* i (pow 2.0 3)) (* 2.0 (/ 1.0 i)))) (sqrt (/ (sqrt i) 2.0))))
7.0ms
(/ (sqrt i) (- (* i (pow 2.0 3)) (* 2.0 (/ 1.0 i))))
22.0ms
(* (/ (sqrt i) (- (* i (pow 2.0 3)) (* 2.0 (/ 1.0 i)))) (sqrt (/ (sqrt i) 2.0)))

simplify103.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049394622
149394622

prune418.0ms

Filtered
149 candidates to 214 candidates (-43.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2140214
Fresh011
Picked011
Done022
Total2144218

Merged error: 0b

Counts
218 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-log-exp
8×add-exp-log
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down
3×pow1 associate-*l* prod-exp unswap-sqr
2×diff-log sum-log sqr-pow
1×+-commutative pow-to-exp sub-neg flip3-- flip3-+ pow-exp *-commutative flip-- cbrt-unprod flip-+ associate--r+
Counts
3 → 49
Calls
3 calls:
7.0ms
(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
5.0ms
(* 4.0 (pow i 6))
7.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
4.0ms
(* 4.0 (pow i 6))
11.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify62.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05021759

prune86.0ms

Filtered
39 candidates to 58 candidates (-48.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done033
Total58462

Merged error: 0b

Counts
62 → 4

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03015
13015

end0.0ms

sample601.0ms

Algorithm
intervals
Results
417.0ms8000×body80valid
84.0ms8000×pre80true

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