Details

Time bar (total: 2.7s)

analyze509.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
6.2%93.6%0.2%8
25%74.9%0.2%9
28.1%71.7%0.2%10
29.6%70.2%0.2%11
53%46.8%0.2%12
71.3%28.5%0.2%13
71.7%28.1%0.2%14

sample23.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
1.0ms16×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03715
13715

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.2b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* b c) (* a d))
26.7b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* b c) (* a d))
27.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify25.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05239846

prune77.0ms

Filtered
39 candidates to 49 candidates (-25.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New43649
Fresh000
Picked101
Done000
Total44650

Merged error: 21.6b

Counts
50 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

2.9b
(* a (/ d (+ (* c c) (* d d))))
3.5b
(* b (/ c (+ (* c c) (* d d))))
15.4b
(/ d (+ (* c c) (* d d)))
17.7b
(/ c (+ (* c c) (* d d)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×times-frac
36×add-cube-cbrt *-un-lft-identity
30×associate-*r*
18×add-exp-log add-cbrt-cube
8×pow1 associate-/r/
6×associate-*l* associate-/r* associate-/l*
4×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 126
Calls
4 calls:
8.0ms
(* a (/ d (+ (* c c) (* d d))))
8.0ms
(* b (/ c (+ (* c c) (* d d))))
5.0ms
(/ d (+ (* c c) (* d d)))
5.0ms
(/ c (+ (* c c) (* d d)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* a (/ d (+ (* c c) (* d d))))
14.0ms
(* b (/ c (+ (* c c) (* d d))))
9.0ms
(/ d (+ (* c c) (* d d)))
7.0ms
(/ c (+ (* c c) (* d d)))

simplify46.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049991682
149991682

prune154.0ms

Filtered
108 candidates to 138 candidates (-27.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1362138
Fresh235
Picked101
Done000
Total1395144

Merged error: 21.6b

Counts
144 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

3.5b
(* b (/ c (+ (* c c) (* d d))))
17.7b
(/ c (+ (* c c) (* d d)))
27.9b
(sqrt (+ (* c c) (* d d)))
27.9b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
15×associate-*r*
11×add-exp-log add-cbrt-cube
8×pow1
6×sqrt-prod
4×flip3-+ sqrt-div associate-/r/ flip-+ add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 93
Calls
4 calls:
8.0ms
(* b (/ c (+ (* c c) (* d d))))
5.0ms
(/ c (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* b (/ c (+ (* c c) (* d d))))
7.0ms
(/ c (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify54.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049851169
149851169

prune112.0ms

Filtered
84 candidates to 105 candidates (-25.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh044
Picked011
Done000
Total1055110

Merged error: 21.6b

Counts
110 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

2.9b
(* a (/ d (+ (* c c) (* d d))))
15.4b
(/ d (+ (* c c) (* d d)))
27.9b
(sqrt (+ (* c c) (* d d)))
27.9b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
15×associate-*r*
11×add-exp-log add-cbrt-cube
8×pow1
6×sqrt-prod
4×flip3-+ sqrt-div associate-/r/ flip-+ add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 93
Calls
4 calls:
8.0ms
(* a (/ d (+ (* c c) (* d d))))
5.0ms
(/ d (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* a (/ d (+ (* c c) (* d d))))
7.0ms
(/ d (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify55.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049891169
149891169

prune96.0ms

Filtered
84 candidates to 105 candidates (-25.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh033
Picked011
Done011
Total1055110

Merged error: 21.6b

Counts
110 → 5

regimes237.0ms

Accuracy

0% (1.1b remaining)

Error of 23.7b against oracle of 22.6b and baseline of 23.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01733
11733

end0.0ms

analyze494.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
6.2%93.6%0.2%8
25%74.9%0.2%9
28.1%71.7%0.2%10
29.6%70.2%0.2%11
53%46.8%0.2%12
71.3%28.5%0.2%13
71.7%28.1%0.2%14

sample565.0ms

Algorithm
intervals
Results
351.0ms8000×body80valid
19.0ms451×body80invalid

Profiling

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