Details

Time bar (total: 2.6s)

sample36.0ms

Algorithm
intervals
Results
16.0ms278×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: 28.3b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

1.2b
(+ (* a c) (* b d))
27.7b
(/ (+ (* 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:
3.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* a c) (* b d))
28.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify97.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0231450
1847413
22837412
35001412

prune83.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New42648
Fresh000
Picked011
Done000
Total42749

Merged error: 27.5b

Counts
49 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* a c) (* b d))
18.2b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(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:
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:
10.0ms
(+ (* a c) (* b d))
35.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
8.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify86.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune116.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New91596
Fresh235
Picked011
Done011
Total9310103

Merged error: 25.5b

Counts
103 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

10.0b
(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(sqrt (+ (* c c) (* d d)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
32×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
27×times-frac
10×sqrt-div
9×associate-/r*
7×pow1
6×add-exp-log 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 → 100
Calls
4 calls:
13.0ms
(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (+ (* a c) (* b d)) (sqrt (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)))

simplify92.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
03311241
19691178
229181143
350021143

prune121.0ms

Filtered
82 candidates to 112 candidates (-36.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh077
Picked011
Done022
Total11210122

Merged error: 25.5b

Counts
122 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

9.0b
(cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
27.7b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
27.7b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
27.7b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
8×associate-/r/
7×flip3-+ flip-+
6×associate-/l/
4×pow1 div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 117
Calls
4 calls:
6.0ms
(cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
9.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(cbrt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))
26.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
26.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
30.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify155.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03621556
112721449
249141437
350011437

prune137.0ms

Filtered
106 candidates to 129 candidates (-21.7%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1290129
Fresh066
Picked011
Done033
Total12910139

Merged error: 25.5b

Counts
139 → 10

regimes446.0ms

Accuracy

20.4% (2.3b remaining)

Error of 25.3b against oracle of 23.0b and baseline of 25.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02626
12826
22826

end0.0ms

sample684.0ms

Algorithm
intervals
Results
371.0ms8471×body80valid

Profiling

Loading profile data...