Details

Time bar (total: 2.7s)

analyze236.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
12.5%87.4%0.1%4
12.5%87.4%0.1%5
15.6%84.3%0.1%6
32.8%67.1%0.1%7
38.2%61.6%0.1%8
46%53.8%0.1%9
62.6%37.3%0.1%10
67.2%32.7%0.1%11
71.1%28.8%0.1%12
81.6%18.2%0.1%13
84.1%15.7%0.1%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
099
199

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
6.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 64
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 1.0 (/ y z))
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05144924

prune116.0ms

Filtered
47 candidates to 70 candidates (-48.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New601070
Fresh000
Picked011
Done000
Total601171

Merged error: 4.9b

Counts
71 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.8b
(/ 1 (- 1.0 (/ y z)))
6.1b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 111
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
8.0ms
(/ 1 (- 1.0 (/ y z)))
15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
6.0ms
(/ 1 (- 1.0 (/ y z)))
11.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049951263
149951263

prune149.0ms

Filtered
74 candidates to 120 candidates (-62.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1182120
Fresh279
Picked011
Done101
Total12110131

Merged error: 4.9b

Counts
131 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 209
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series31.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 1.0 (/ y z))
18.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify80.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
051003560

prune221.0ms

Filtered
122 candidates to 218 candidates (-78.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2153218
Fresh358
Picked101
Done011
Total2199228

Merged error: 0.0b

Counts
228 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.0b
(/ 1 (+ y x))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
7.0b
(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
43×*-un-lft-identity
41×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt
20×div-exp add-cbrt-cube
18×associate-*r*
16×prod-exp
10×pow1 rec-exp 1-exp associate-/r/
7×distribute-lft-out
6×cbrt-undiv associate-*l* associate-/l* add-log-exp
5×flip3-- associate-/r* flip--
4×frac-times associate-*l/ cbrt-unprod difference-of-squares
3×pow-flip div-inv unswap-sqr
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num un-div-inv flip-+ distribute-lft-out-- inv-pow
1×sub-neg diff-log *-commutative
Counts
4 → 143
Calls
4 calls:
6.0ms
(- 1.0 (/ y z))
7.0ms
(/ 1 (+ y x))
14.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
15.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 1.0 (/ y z))
4.0ms
(/ 1 (+ y x))
18.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
10.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049811429
149811429

prune119.0ms

Filtered
86 candidates to 155 candidates (-80.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1550155
Fresh077
Picked011
Done011
Total1559164

Merged error: 0.0b

Counts
164 → 9

regimes255.0ms

Accuracy

61.5% (3.1b remaining)

Error of 3.1b against oracle of 0.1b and baseline of 8.0b

bsearch399.0ms

Steps
ItersRangePoint
10
5.364028737071753e-47
1.2525371914566406e-35
1.0392004029497865e-35
7
4.5763582982249434e-219
1.5160465619714595e-217
4.6323173730091233e-219
7
9.863920501895416e-269
3.2073694595668858e-267
2.4081817776574713e-267
9
-2.256775272342371e+44
-1.9231164890659008e+37
-1.9474750866386186e+37

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03581
13581

end0.0ms

analyze232.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
12.5%87.4%0.1%4
12.5%87.4%0.1%5
15.6%84.3%0.1%6
32.8%67.1%0.1%7
38.2%61.6%0.1%8
46%53.8%0.1%9
62.6%37.3%0.1%10
67.2%32.7%0.1%11
71.1%28.8%0.1%12
81.6%18.2%0.1%13
84.1%15.7%0.1%14

sample391.0ms

Algorithm
intervals
Results
239.0ms8000×body80valid

Profiling

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