Details

Time bar (total: 2.5s)

analyze570.0ms

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

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
1.0ms16×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
11515

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(+ (* a c) (* b d))
21.5b
(/ (+ (* a c) (* b 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×flip3-+ associate-/r* flip-+ associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 42
Calls
2 calls:
4.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* a c) (* b d))
25.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify38.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05169820

prune87.0ms

Filtered
38 candidates to 48 candidates (-26.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New40848
Fresh000
Picked011
Done000
Total40949

Merged error: 21.3b

Counts
49 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
13.5b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
24.0b
(sqrt (+ (* c c) (* d d)))
24.0b
(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)))

series55.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
055031525

prune120.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New93396
Fresh167
Picked011
Done101
Total9510105

Merged error: 18.9b

Counts
105 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
13.5b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
24.0b
(sqrt (+ (* c c) (* d d)))
24.0b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

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)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* a c) (* b d))
32.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
055031525

prune113.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh088
Picked011
Done011
Total9610106

Merged error: 18.9b

Counts
106 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (+ (* c c) (* d d)))
0.3b
(+ (* a c) (* b d))
21.4b
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-+ flip-+ add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 86
Calls
3 calls:
5.0ms
(/ 1 (+ (* c c) (* d d)))
5.0ms
(+ (* a c) (* b d))
12.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series39.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (+ (* c c) (* d d)))
9.0ms
(+ (* a c) (* b d))
25.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify44.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049861322
149861322

prune74.0ms

Filtered
60 candidates to 95 candidates (-58.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh077
Picked011
Done022
Total9510105

Merged error: 18.9b

Counts
105 → 10

regimes440.0ms

Accuracy

25.5% (2.2b remaining)

Error of 25.3b against oracle of 23.1b and baseline of 26.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02253
12253

end0.0ms

sample566.0ms

Algorithm
intervals
Results
351.0ms8000×body80valid
20.0ms473×body80invalid

Profiling

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