Details

Time bar (total: 2.3s)

sample26.0ms

Algorithm
intervals
Results
11.0ms268×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.7b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

1.2b
(+ (* a c) (* b d))
27.1b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite16.0ms

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:
7.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* a c) (* b d))
28.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify88.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0231450
1847413
22837412
35001412

prune92.0ms

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: 26.8b

Counts
49 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* a c) (* b d))
17.4b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(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:
3.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (* 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)))

simplify87.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune118.0ms

Filtered
74 candidates to 96 candidates (-29.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New91596
Fresh347
Picked101
Done011
Total9510105

Merged error: 25.3b

Counts
105 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* a c) (* b d))
17.4b
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(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)))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* a c) (* b d))
37.0ms
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify52.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0385911
11913826
25002802

prune117.0ms

Filtered
75 candidates to 106 candidates (-41.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh088
Picked011
Done011
Total10610116

Merged error: 25.3b

Counts
116 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

17.4b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(sqrt (+ (* c c) (* d d)))
30.4b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

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))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(sqrt (+ (* c c) (* d d)))

simplify75.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0242919
1758870
22262857
35002857

prune88.0ms

Filtered
78 candidates to 100 candidates (-28.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New991100
Fresh077
Picked011
Done022
Total9911110

Merged error: 25.3b

Counts
110 → 11

regimes466.0ms

Accuracy

25.7% (2.2b remaining)

Error of 25.5b against oracle of 23.3b and baseline of 26.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02726
12726

end0.0ms

sample720.0ms

Algorithm
intervals
Results
360.0ms8509×body80valid

Profiling

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