Details

Time bar (total: 2.6s)

analyze514.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
6.2%93.6%0.2%8
25%74.9%0.2%9
28.1%71.7%0.2%10
29.6%70.2%0.2%11
53%46.8%0.2%12
71.3%28.5%0.2%13
71.7%28.1%0.2%14

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
1.0ms17×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
11515

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(+ (* a c) (* b d))
27.2b
(/ (+ (* a c) (* b 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
4×flip3-+ flip-+
3×pow1 associate-/r* associate-/l*
2×+-commutative sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 53
Calls
3 calls:
4.0ms
(+ (* c c) (* d d))
4.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* c c) (* d d))
9.0ms
(+ (* a c) (* b d))
25.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify42.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05334951

prune102.0ms

Filtered
48 candidates to 62 candidates (-29.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh000
Picked011
Done000
Total56763

Merged error: 26.9b

Counts
63 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
18.0b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
32.5b
(sqrt (+ (* c c) (* d d)))
32.5b
(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
5×flip3-+ flip-+
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 84
Calls
4 calls:
4.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* a c) (* b d))
33.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify56.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
055031525

prune124.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New90696
Fresh325
Picked101
Done011
Total949103

Merged error: 25.2b

Counts
103 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
18.1b
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
32.5b
(sqrt (+ (* c c) (* d d)))
32.5b
(sqrt (+ (* c c) (* d d)))

rewrite29.0ms

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×flip3-+ sqrt-div flip-+ add-log-exp
5×unswap-sqr
4×prod-exp
3×associate-*l*
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv +-commutative rec-exp 1-exp associate-*r/ pow-prod-down sum-log un-div-inv *-commutative div-inv
Counts
4 → 94
Calls
4 calls:
4.0ms
(+ (* a c) (* b d))
15.0ms
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* a c) (* b d))
35.0ms
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify57.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049561494
149561494

prune119.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh077
Picked011
Done011
Total1069115

Merged error: 25.2b

Counts
115 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

18.0b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
32.5b
(sqrt (+ (* c c) (* d d)))
32.5b
(sqrt (+ (* c c) (* d d)))
32.5b
(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
5×flip3-+ flip-+
4×add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 88
Calls
4 calls:
9.0ms
(/ (+ (* a c) (* b 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)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))

simplify53.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050501548

prune95.0ms

Filtered
80 candidates to 100 candidates (-25.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh066
Picked011
Done022
Total1009109

Merged error: 25.2b

Counts
109 → 9

regimes446.0ms

Accuracy

28.6% (2.1b remaining)

Error of 25.4b against oracle of 23.3b and baseline of 26.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04056
14056

end0.0ms

sample590.0ms

Algorithm
intervals
Results
354.0ms8000×body80valid
24.0ms506×body80invalid

Profiling

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