Details

Time bar (total: 3.9s)

sample29.0ms

Algorithm
intervals
Results
11.0ms271×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.4b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* b c) (* a d))
24.9b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite17.0ms

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:
4.0ms
(- (* b c) (* a d))
12.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* b c) (* a d))
100.0ms
(/ (- (* 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

prune159.0ms

Filtered
50 candidates to 39 candidates (22.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New45550
Fresh000
Picked011
Done000
Total45651

Merged error: 24.7b

Counts
51 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
15.7b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.0b
(sqrt (+ (* c c) (* d d)))
29.0b
(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 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)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b c) (* a d))
133.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
44.0ms
(sqrt (+ (* c c) (* d d)))
48.0ms
(sqrt (+ (* c c) (* d d)))

simplify97.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune377.0ms

Filtered
98 candidates to 75 candidates (23.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New94498
Fresh134
Picked011
Done011
Total959104

Merged error: 22.5b

Counts
104 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
15.7b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.0b
(sqrt (+ (* c c) (* d d)))
29.0b
(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 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)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b c) (* a d))
133.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
43.0ms
(sqrt (+ (* c c) (* d d)))
47.0ms
(sqrt (+ (* c c) (* d d)))

simplify95.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0304912
1990857
23340845
35003845

prune395.0ms

Filtered
98 candidates to 75 candidates (23.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh066
Picked011
Done022
Total989107

Merged error: 22.5b

Counts
107 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b
(- (* b c) (* a d))
0.9b
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
24.4b
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip flip3-+ diff-log flip-+ inv-pow
Counts
3 → 127
Calls
3 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
8.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

series277.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* b c) (* a d))
171.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
61.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

simplify59.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04781746
121501597
250021509

prune303.0ms

Filtered
136 candidates to 75 candidates (44.9%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1360136
Fresh055
Picked011
Done033
Total1369145

Merged error: 22.5b

Counts
145 → 9

regimes469.0ms

Accuracy

12.8% (2.5b remaining)

Error of 25.5b against oracle of 22.9b and baseline of 25.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02526
12726
22726

end0.0ms

sample728.0ms

Algorithm
intervals
Results
352.0ms8459×body80valid

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