Details

Time bar (total: 3.3s)

analyze553.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms14×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune6.0ms

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 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.7b
(- (* b c) (* a d))
24.9b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
4.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
10.0ms
(- (* b c) (* a d))
27.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292541
11273493
25001491

prune118.0ms

Filtered
50 candidates to 64 candidates (-28.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New56864
Fresh000
Picked101
Done000
Total57865

Merged error: 24.6b

Counts
65 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
16.0b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.8b
(sqrt (+ (* c c) (* d d)))
28.8b
(sqrt (+ (* c c) (* d d)))

rewrite26.0ms

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)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (* 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)))

simplify105.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune131.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New93598
Fresh257
Picked011
Done000
Total9511106

Merged error: 21.1b

Counts
106 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(- (* b c) (* a d))
16.0b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.8b
(sqrt (+ (* c c) (* d d)))
28.8b
(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))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (* 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)))

simplify108.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0304910
1990857
23340845
35003845

prune129.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh099
Picked011
Done011
Total9811109

Merged error: 21.1b

Counts
109 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

16.0b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.8b
(sqrt (+ (* c c) (* d d)))
28.8b
(sqrt (+ (* c c) (* d d)))
28.8b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×sqrt-prod
18×times-frac
8×sqrt-div
7×pow1
6×add-exp-log associate-/r* add-cbrt-cube
4×flip3-+ flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv
Counts
4 → 89
Calls
4 calls:
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify88.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0269932
1854883
22635870
35001870

prune96.0ms

Filtered
79 candidates to 101 candidates (-27.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh088
Picked011
Done022
Total10111112

Merged error: 21.1b

Counts
112 → 11

regimes360.0ms

Accuracy

0% (2.9b remaining)

Error of 25.5b against oracle of 22.6b and baseline of 25.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01613
11613

end0.0ms

analyze543.0ms

Algorithm
search

sample625.0ms

Algorithm
intervals
Results
373.0ms8000×body80valid
25.0ms496×body80invalid

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