Details

Time bar (total: 2.7s)

analyze547.0ms

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
11.0ms256×body80valid
1.0ms16×body80invalid

simplify160.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (158.0ms)

IterNodesCost
0484115
1484115

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.5b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

1.0b
(- (* b c) (* a d))
27.0b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite16.0ms

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:
4.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* b c) (* a d))
26.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify42.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05676845

prune88.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New42749
Fresh000
Picked101
Done000
Total43750

Merged error: 23.2b

Counts
50 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b c) (* a d))
16.3b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.3b
(sqrt (+ (* c c) (* d d)))
30.3b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 85
Calls
4 calls:
4.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b c) (* a d))
35.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
5.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
057601553

prune113.0ms

Filtered
77 candidates to 97 candidates (-26.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh246
Picked011
Done000
Total986104

Merged error: 23.2b

Counts
104 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

10.5b
(* c (/ b (sqrt (+ (* c c) (* d d)))))
30.3b
(sqrt (+ (* c c) (* d d)))
30.3b
(sqrt (+ (* c c) (* d d)))
30.3b
(sqrt (+ (* c c) (* d d)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×associate-*r*
21×add-cube-cbrt *-un-lft-identity
20×times-frac
19×sqrt-prod
9×pow1 add-exp-log add-cbrt-cube
8×sqrt-div
4×flip3-+ flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* unswap-sqr
2×prod-exp associate-/r/ cbrt-unprod
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
12.0ms
(* c (/ b (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* c (/ b (sqrt (+ (* c c) (* d d)))))
5.0ms
(sqrt (+ (* c c) (* d d)))
5.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify36.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050401084

prune108.0ms

Filtered
75 candidates to 101 candidates (-34.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh044
Picked011
Done011
Total1016107

Merged error: 23.2b

Counts
107 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

8.0b
(/ b (+ (* c c) (* d d)))
10.0b
(/ a (+ (* c c) (* d d)))
10.2b
(* d (/ a (+ (* c c) (* d d))))
12.2b
(* c (/ b (+ (* c c) (* d d))))

rewrite33.0ms

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:
6.0ms
(/ b (+ (* c c) (* d d)))
5.0ms
(/ a (+ (* c c) (* d d)))
9.0ms
(* d (/ a (+ (* c c) (* d d))))
9.0ms
(* c (/ b (+ (* c c) (* d d))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ b (+ (* c c) (* d d)))
13.0ms
(/ a (+ (* c c) (* d d)))
13.0ms
(* d (/ a (+ (* c c) (* d d))))
12.0ms
(* c (/ b (+ (* c c) (* d d))))

simplify58.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
051471682

prune116.0ms

Filtered
104 candidates to 138 candidates (-32.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1380138
Fresh033
Picked011
Done022
Total1386144

Merged error: 23.2b

Counts
144 → 6

regimes465.0ms

Accuracy

0% (0.9b remaining)

Error of 22.8b against oracle of 21.8b and baseline of 22.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05034
15034

end0.0ms

sample597.0ms

Algorithm
intervals
Results
366.0ms8000×body80valid
22.0ms458×body80invalid

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