Details

Time bar (total: 15.6s)

sample6.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 79.736328%

Results
14.0ms256×body80valid
1.0ms16×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.4b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b
(- (* b c) (* a d))
26.9b
(/ (- (* 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 → 44
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)))

simplify100.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0251464
1938427
23490426
35002426

prune99.0ms

Filtered
39 candidates to 50 candidates (-28.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New41950
Fresh000
Picked101
Done000
Total42951

Merged error: 26.6b

Counts
51 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* b c) (* a d))
17.3b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

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:
5.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
35.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify97.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune126.0ms

Filtered
75 candidates to 98 candidates (-30.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New92698
Fresh358
Picked101
Done000
Total9611107

Merged error: 23.9b

Counts
107 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* b c) (* a d))
17.3b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(sqrt (+ (* c c) (* d d)))

rewrite21.0ms

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))
8.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
24.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify73.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0264887
1808842
22343837
35001837

prune122.0ms

Filtered
74 candidates to 97 candidates (-31.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01010
Picked011
Done000
Total9711108

Merged error: 23.9b

Counts
108 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* b c) (* a d))
17.3b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.4b
(sqrt (+ (* c c) (* d d)))
29.4b
(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))))
4.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (* b c) (* a d))
35.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify98.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune86.0ms

Filtered
75 candidates to 98 candidates (-30.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh099
Picked011
Done011
Total9712109

Merged error: 23.9b

Counts
109 → 12

regimes501.0ms

Accuracy

18.9% (2.4b remaining)

Error of 25.7b against oracle of 23.3b and baseline of 26.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02927
13127
23127

end0.0ms

sample7.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 79.736328%

Results
377.0ms8000×body80valid
20.0ms445×body80invalid

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