Details

Time bar (total: 2.4s)

sample91.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.988511%

Results
12.0ms278×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.8b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(+ (* a c) (* b d))
23.3b
(/ (+ (* a c) (* b 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×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:
3.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* a c) (* b d))
27.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify90.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0231450
1847413
22837412
35001412

prune87.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New42648
Fresh000
Picked101
Done000
Total43649

Merged error: 23.1b

Counts
49 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
14.6b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.7b
(sqrt (+ (* c c) (* d d)))
27.7b
(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)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* a c) (* b d))
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)))

simplify89.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune122.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New93396
Fresh055
Picked011
Done000
Total939102

Merged error: 20.2b

Counts
102 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
14.6b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.7b
(sqrt (+ (* c c) (* d d)))
27.7b
(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))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* a c) (* b d))
38.0ms
(/ (+ (* a c) (* b d)) (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
96 → 96
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune120.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh077
Picked011
Done011
Total9510105

Merged error: 20.2b

Counts
105 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b
(+ (* a c) (* b d))
0.7b
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
22.8b
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite26.0ms

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
7×flip3-+ flip-+
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×+-commutative pow-flip sum-log inv-pow
Counts
3 → 126
Calls
3 calls:
3.0ms
(+ (* a c) (* b d))
9.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
8.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

series59.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* a c) (* b d))
30.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
19.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify64.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04801742
122371590
250031503

prune84.0ms

Filtered
74 candidates to 135 candidates (-82.4%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh077
Picked011
Done022
Total13510145

Merged error: 20.2b

Counts
145 → 10

regimes466.0ms

Accuracy

0% (3.1b remaining)

Error of 26.1b against oracle of 23.0b and baseline of 26.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
11713

end0.0ms

sample745.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 92.988511%

Results
382.0ms8432×body80valid

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