Details

Time bar (total: 2.6s)

analyze383.0ms

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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms46×body80invalid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
0502111

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.6b

Counts
2 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ z 1.0))
0.1b
(* z (* z (+ z 1.0)))
4.3b
(* x (/ y (* z (* z (+ z 1.0)))))
7.0b
(/ y (* z (* z (+ z 1.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
15×associate-*r/
14×*-un-lft-identity associate-*r* prod-exp cbrt-unprod
13×pow1
12×add-cube-cbrt
9×associate-*l*
6×cbrt-undiv times-frac div-exp
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×flip3-+ associate-/r/ flip-+ add-log-exp
3×*-commutative associate-/l*
2×div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* distribute-lft-out
Counts
4 → 103
Calls
4 calls:
6.0ms
(* z (+ z 1.0))
7.0ms
(* z (* z (+ z 1.0)))
11.0ms
(* x (/ y (* z (* z (+ z 1.0)))))
7.0ms
(/ y (* z (* z (+ z 1.0))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* z (+ z 1.0))
5.0ms
(* z (* z (+ z 1.0)))
14.0ms
(* x (/ y (* z (* z (+ z 1.0)))))
11.0ms
(/ y (* z (* z (+ z 1.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049671121
149671121

prune130.0ms

Filtered
74 candidates to 115 candidates (-55.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1087115
Fresh101
Picked101
Done000
Total1107117

Merged error: 1.5b

Counts
117 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ z 1.0))
1.7b
(* (/ x z) (/ y (* z (+ z 1.0))))
6.2b
(/ y (* z (+ z 1.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt times-frac associate-*l*
13×associate-*r*
10×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
7×pow1 associate-*r/
4×associate-/r/
3×flip3-+ flip-+ div-inv associate-/l* add-log-exp unswap-sqr
2×pow-prod-down *-commutative
1×distribute-rgt-in frac-times frac-2neg distribute-lft-in associate-*l/ clear-num associate-/r* distribute-lft-out
Counts
3 → 94
Calls
3 calls:
5.0ms
(* z (+ z 1.0))
12.0ms
(* (/ x z) (/ y (* z (+ z 1.0))))
6.0ms
(/ y (* z (+ z 1.0)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* z (+ z 1.0))
12.0ms
(* (/ x z) (/ y (* z (+ z 1.0))))
7.0ms
(/ y (* z (+ z 1.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
054851054

prune119.0ms

Filtered
73 candidates to 103 candidates (-41.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New976103
Fresh516
Picked101
Done000
Total1037110

Merged error: 0.0b

Counts
110 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (+ z 1.0) (/ z y))
0.5b
(/ 1 (* (+ z 1.0) (/ z y)))
1.7b
(* (/ x z) (/ 1 (* (+ z 1.0) (/ z y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
103×add-exp-log
49×add-cbrt-cube
40×prod-exp
38×div-exp
32×add-sqr-sqrt
26×times-frac
25×associate-*r*
24×*-un-lft-identity
22×add-cube-cbrt
17×cbrt-undiv associate-*l*
16×cbrt-unprod
10×pow1 associate-/r/
9×rec-exp 1-exp
7×frac-times associate-*l/
6×flip3-+ flip-+
4×associate-*r/ div-inv unswap-sqr
3×pow-prod-down associate-/l* add-log-exp
2×pow-flip *-commutative
1×frac-2neg clear-num associate-/r* un-div-inv distribute-lft-out inv-pow
Counts
3 → 142
Calls
3 calls:
8.0ms
(* (+ z 1.0) (/ z y))
8.0ms
(/ 1 (* (+ z 1.0) (/ z y)))
15.0ms
(* (/ x z) (/ 1 (* (+ z 1.0) (/ z y))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (+ z 1.0) (/ z y))
6.0ms
(/ 1 (* (+ z 1.0) (/ z y)))
16.0ms
(* (/ x z) (/ 1 (* (+ z 1.0) (/ z y))))

simplify59.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049971597
149971597

prune132.0ms

Filtered
91 candidates to 151 candidates (-65.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1501151
Fresh156
Picked011
Done000
Total1517158

Merged error: 0.0b

Counts
158 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ z 1.0) (/ z y))
1.7b
(/ (/ x z) (* (+ z 1.0) (/ z y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
41×times-frac
29×add-sqr-sqrt
28×add-exp-log add-cbrt-cube
26×*-un-lft-identity
24×add-cube-cbrt
13×associate-*r* associate-/l*
12×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
5×associate-/r/
4×pow1 frac-times flip3-+ associate-*l* associate-*l/ flip-+ div-inv
2×associate-*r/ add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ distribute-lft-out
Counts
2 → 92
Calls
2 calls:
8.0ms
(* (+ z 1.0) (/ z y))
12.0ms
(/ (/ x z) (* (+ z 1.0) (/ z y)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (+ z 1.0) (/ z y))
13.0ms
(/ (/ x z) (* (+ z 1.0) (/ z y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
049701165
149701165

prune85.0ms

Filtered
70 candidates to 98 candidates (-40.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh145
Picked011
Done011
Total987105

Merged error: 0.0b

Counts
105 → 7

regimes162.0ms

Accuracy

0% (3.2b remaining)

Error of 3.2b against oracle of 0.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11111

end0.0ms

analyze379.0ms

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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14

sample706.0ms

Algorithm
intervals
Results
465.0ms8000×body80valid
53.0ms1503×body80invalid

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