Details

Time bar (total: 9.4s)

sample3.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 38.916016%

Results
255.0ms256×body80valid
1.0ms18×body80invalid

simplify10.0ms

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: 28.3b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.9b
(- (* b c) (* a d))
27.8b
(/ (- (* 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))
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)))

simplify110.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0251464
1938427
23490426
35002426

prune95.0ms

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: 27.5b

Counts
51 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (* b c) (* a d))
17.3b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
32.5b
(sqrt (+ (* c c) (* d d)))
32.5b
(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)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
34.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify103.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune127.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New91798
Fresh538
Picked011
Done000
Total9611107

Merged error: 25.5b

Counts
107 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (* b c) (* a d))
17.3b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
32.5b
(sqrt (+ (* c c) (* d d)))
32.5b
(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)))

series45.0ms

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)))

simplify76.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0264887
1808842
22343837
35001837

prune118.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh099
Picked011
Done011
Total9711108

Merged error: 25.5b

Counts
108 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (* b c) (* a d))
17.4b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
32.5b
(sqrt (+ (* c c) (* d d)))
32.5b
(sqrt (+ (* c c) (* d d)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×sqrt-div add-log-exp
5×unswap-sqr
4×prod-exp
3×flip3-- flip3-+ associate-*l* flip-- flip-+
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
14.0ms
(* (- (* b c) (* a d)) (/ 1 (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))
36.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0378916
11785831
25001807

prune89.0ms

Filtered
74 candidates to 107 candidates (-44.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1061107
Fresh178
Picked011
Done022
Total10711118

Merged error: 25.5b

Counts
118 → 11

regimes335.0ms

Accuracy

0% (2.8b remaining)

Error of 25.7b against oracle of 22.9b and baseline of 25.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01613
11613

end0.0ms

sample4.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 38.916016%

Results
391.0ms8000×body80valid
21.0ms456×body80invalid

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