Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
12.0ms266×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.7b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* b c) (* a d))
28.2b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite13.0ms

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 → 44
Calls
2 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* b c) (* a d))
90.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify104.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0251464
1938427
23490426
35002426

prune139.0ms

Filtered
50 candidates to 39 candidates (78.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New41950
Fresh000
Picked011
Done000
Total411051

Merged error: 27.9b

Counts
51 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
17.5b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
32.8b
(sqrt (+ (* c c) (* d d)))
32.8b
(sqrt (+ (* c c) (* d d)))

rewrite24.0ms

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 → 86
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
11.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* b c) (* a d))
123.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
36.0ms
(sqrt (+ (* c c) (* d d)))

simplify104.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune274.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New92698
Fresh538
Picked101
Done011
Total9810108

Merged error: 26.3b

Counts
108 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
17.5b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
32.8b
(sqrt (+ (* c c) (* d d)))
32.8b
(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 → 86
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series235.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* b c) (* a d))
116.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
42.0ms
(sqrt (+ (* c c) (* d d)))
37.0ms
(sqrt (+ (* c c) (* d d)))

simplify100.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune254.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh088
Picked011
Done011
Total9810108

Merged error: 26.3b

Counts
108 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
17.6b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
32.8b
(sqrt (+ (* c c) (* d d)))
32.8b
(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 add-cbrt-cube associate-/l* add-log-exp
3×flip3-+ associate-/r* flip-+
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b c) (* a d))
78.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
57.0ms
(sqrt (+ (* c c) (* d d)))
82.0ms
(sqrt (+ (* c c) (* d d)))

simplify71.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0264887
1808842
22343837
35001837

prune235.0ms

Filtered
97 candidates to 74 candidates (76.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh077
Picked011
Done022
Total9710107

Merged error: 26.3b

Counts
107 → 10

regimes199.0ms

Accuracy

8.7% (2.9b remaining)

Error of 26.4b against oracle of 23.5b and baseline of 26.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02626
12626

end0.0ms

sample601.0ms

Algorithm
intervals
Results
382.0ms8457×body80valid

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