Details

Time bar (total: 2.2s)

sample34.0ms

Algorithm
intervals
Results
12.0ms278×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.5b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

1.1b
(- (* b c) (* a d))
27.8b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite14.0ms

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))
9.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series46.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (* b c) (* a d))
34.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify98.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0251464
1938427
23490426
35002426

prune89.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New43750
Fresh000
Picked101
Done000
Total44751

Merged error: 27.6b

Counts
51 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (* b c) (* a d))
18.8b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.7b
(sqrt (+ (* c c) (* d d)))
30.7b
(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)))

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)))

simplify95.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune121.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New92698
Fresh336
Picked011
Done000
Total9510105

Merged error: 22.9b

Counts
105 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

1.1b
(- (* b c) (* a d))
18.9b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
30.7b
(sqrt (+ (* c c) (* d d)))
30.7b
(sqrt (+ (* c c) (* d d)))

rewrite25.0ms

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:
4.0ms
(- (* b c) (* a d))
11.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series47.0ms

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)))
7.0ms
(sqrt (+ (* c c) (* d d)))

simplify73.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0264887
1808842
22343837
35001837

prune113.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh088
Picked011
Done011
Total9710107

Merged error: 22.9b

Counts
107 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

0.6b
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
1.1b
(- (* b c) (* a d))
27.4b
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

rewrite31.0ms

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:
13.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
4.0ms
(- (* b c) (* a d))
9.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

series68.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (/ (+ (* c c) (* d d)) (- (* b c) (* a d))))
11.0ms
(- (* b c) (* a d))
23.0ms
(/ (+ (* c c) (* d d)) (- (* b c) (* a d)))

simplify60.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04781746
121501597
250021509

prune85.0ms

Filtered
75 candidates to 136 candidates (-81.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh077
Picked011
Done022
Total13610146

Merged error: 22.9b

Counts
146 → 10

regimes362.0ms

Accuracy

-12.8% (3.6b remaining)

Error of 26.6b against oracle of 23.0b and baseline of 26.2b

bsearch51.0ms

Steps
ItersRangePoint
11
2.0007175661403905e+66
2.104971704307965e+86
1.7617882023142252e+86
9
-9.058200306615924e+29
-5.010716216231439e+23
-8.929632650564872e+29

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02824
12924
22924

end0.0ms

sample688.0ms

Algorithm
intervals
Results
375.0ms8476×body80valid

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