Details

Time bar (total: 2.5s)

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

sample27.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify154.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (152.0ms)

IterNodesCost
042299
142299

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.2b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite15.0ms

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:
13.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series10.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04914775
14914775

prune89.0ms

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New44953
Fresh000
Picked011
Done000
Total441054

Merged error: 5.4b

Counts
54 → 10

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
5.8b
(* (+ 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)))
16.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series15.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
059651114

prune120.0ms

Filtered
61 candidates to 103 candidates (-68.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1012103
Fresh358
Picked011
Done011
Total1049113

Merged error: 5.4b

Counts
113 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.2b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite38.0ms

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:
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
12.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series26.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
055573410

prune187.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1992201
Fresh336
Picked011
Done112
Total2037210

Merged error: 0.0b

Counts
210 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ y x))
6.4b
(cbrt (- 1.0 (/ y z)))
6.4b
(cbrt (- 1.0 (/ y z)))
6.4b
(cbrt (- 1.0 (/ y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×cbrt-prod
16×*-un-lft-identity
8×add-cube-cbrt cbrt-div
6×difference-of-squares
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- times-frac flip-- distribute-lft-out--
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 62
Calls
4 calls:
3.0ms
(cbrt (+ y x))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ y x))
34.0ms
(cbrt (- 1.0 (/ y z)))
34.0ms
(cbrt (- 1.0 (/ y z)))
36.0ms
(cbrt (- 1.0 (/ y z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05133710

prune136.0ms

Filtered
58 candidates to 74 candidates (-27.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done022
Total74781

Merged error: 0.0b

Counts
81 → 7

regimes284.0ms

Accuracy

98.6% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 7.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05149
15149

end0.0ms

sample703.0ms

Algorithm
intervals
Results
201.0ms7999×body80valid
0.0ms1×body640valid

Profiling

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