Details

Time bar (total: 2.5s)

analyze230.0ms

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

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify165.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (164.0ms)

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)))

rewrite12.0ms

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:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series10.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04914775
14914775

prune131.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh000
Picked011
Done000
Total46854

Merged error: 5.7b

Counts
54 → 8

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
5.8b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite49.0ms

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:
14.0ms
(/ 1 (- 1.0 (/ y z)))
29.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series25.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (- 1.0 (/ y z)))
18.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
059651114

prune120.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh066
Picked011
Done011
Total1029111

Merged error: 5.6b

Counts
111 → 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))

rewrite35.0ms

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)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series29.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify71.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
055573410

prune186.0ms

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

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2001201
Fresh156
Picked011
Done022
Total2019210

Merged error: 0.0b

Counts
210 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
6.2b
(/ (+ x y) (- 1.0 (/ y z)))
6.2b
(/ (+ x y) (- 1.0 (/ y z)))
6.2b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
143×*-un-lft-identity
115×times-frac
51×add-cube-cbrt
38×difference-of-squares
30×cbrt-prod
27×distribute-lft-out
19×distribute-lft-out--
18×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 189
Calls
4 calls:
9.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050203144

prune323.0ms

Filtered
136 candidates to 201 candidates (-47.8%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2010201
Fresh055
Picked011
Done033
Total2019210

Merged error: 0.0b

Counts
210 → 9

regimes372.0ms

Accuracy

97.4% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05159
15159

end0.0ms

sample407.0ms

Algorithm
intervals
Results
242.0ms7996×body80valid
0.0ms3×body1280valid
0.0ms1×body2560valid

Profiling

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