Details

Time bar (total: 2.2s)

analyze228.0ms

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

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
9.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series11.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05034776

prune87.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New46753
Fresh000
Picked101
Done000
Total47754

Merged error: 5.6b

Counts
54 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (- 1.0 (/ y z)))
6.2b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
8.0ms
(/ 1 (- 1.0 (/ y z)))
15.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 (/ y z)))
10.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051231115

prune116.0ms

Filtered
63 candidates to 103 candidates (-63.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh156
Picked011
Done000
Total1037110

Merged error: 5.6b

Counts
110 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
13.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series31.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
14.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050093412

prune181.0ms

Filtered
110 candidates to 201 candidates (-82.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1992201
Fresh235
Picked101
Done011
Total2026208

Merged error: 0.0b

Counts
208 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
6.9b
(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
25×add-sqr-sqrt
22×*-un-lft-identity
18×times-frac div-exp associate-*r*
16×prod-exp add-cbrt-cube
13×add-cube-cbrt
9×rec-exp 1-exp
8×associate-/r/
7×pow1
6×associate-*l*
5×cbrt-undiv
4×frac-times flip3-- associate-*l/ flip-- cbrt-unprod
3×distribute-lft-out associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down un-div-inv div-inv add-log-exp difference-of-squares
1×frac-2neg flip3-+ clear-num associate-/r* *-commutative flip-+ distribute-lft-out-- inv-pow
Counts
2 → 92
Calls
2 calls:
14.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
17.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ y x))))
10.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ y x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049651001
149651001

prune75.0ms

Filtered
54 candidates to 98 candidates (-81.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh044
Picked011
Done011
Total986104

Merged error: 0.0b

Counts
104 → 6

regimes206.0ms

Accuracy

66.6% (2.6b remaining)

Error of 2.6b against oracle of 0.1b and baseline of 7.7b

bsearch263.0ms

Steps
ItersRangePoint
9
3.688376286186114e+57
3.6751050598165807e+62
3.739290546816909e+57
9
-4.3048472872029125e+52
-2.167930795764297e+43
-2.4417521594819806e+43

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02835
12835

end0.0ms

analyze224.0ms

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

sample382.0ms

Algorithm
intervals
Results
231.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid

Profiling

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