Details

Time bar (total: 1.7s)

analyze43.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
25%25%50%4
25%25%50%5
31.2%18.7%50%6
34.3%15.6%50%7
39%10.9%50%8
40.6%8.6%50.8%9
42.9%5.9%51.2%10
43.7%4.5%51.8%11
44.9%3%52.1%12
45.3%2.3%52.4%13
45.9%1.5%52.6%14

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms1×body80invalid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
079914
179914

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×times-frac associate-*r* associate-/l*
5×pow1
4×cbrt-undiv div-exp sqrt-prod
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r* div-inv unswap-sqr
1×pow-prod-down *-commutative
Counts
3 → 64
Calls
3 calls:
5.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(/ 1.0 (* x 9.0))
5.0ms
(* 3.0 (sqrt x))

series17.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ 1.0 (* x 9.0))
4.0ms
(* 3.0 (sqrt x))

simplify54.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04956527
14956527

prune125.0ms

Filtered
53 candidates to 73 candidates (-37.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New65873
Fresh000
Picked101
Done000
Total66874

Merged error: 0.0b

Counts
74 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ (/ y 3.0) (sqrt x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
81×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×sqrt-prod
16×associate-/l*
12×add-exp-log add-cbrt-cube
9×div-inv
7×associate-/r*
5×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×prod-exp cbrt-unprod associate-/l/
Counts
2 → 133
Calls
2 calls:
4.0ms
(/ 1.0 (* x 9.0))
9.0ms
(/ (/ y 3.0) (sqrt x))

series11.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (* x 9.0))
9.0ms
(/ (/ y 3.0) (sqrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
054631698

prune167.0ms

Filtered
93 candidates to 139 candidates (-49.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1390139
Fresh077
Picked011
Done000
Total1398147

Merged error: 0.0b

Counts
147 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ y (sqrt x))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* (/ 1 3.0) (/ y (sqrt x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
60×times-frac
43×*-un-lft-identity
40×add-cube-cbrt
32×add-exp-log
24×sqrt-prod
22×associate-*r* add-cbrt-cube
13×associate-*l*
11×div-exp
9×prod-exp unswap-sqr
7×cbrt-undiv associate-/r*
6×associate-/l*
5×pow1 cbrt-unprod
4×div-inv
3×add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 128
Calls
3 calls:
4.0ms
(/ y (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))
13.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series17.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ y (sqrt x))
2.0ms
(/ 1.0 (* x 9.0))
9.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049801149
149801149

prune152.0ms

Filtered
90 candidates to 137 candidates (-52.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh066
Picked011
Done011
Total1378145

Merged error: 0.0b

Counts
145 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (sqrt x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
16×associate-/l*
15×add-exp-log add-cbrt-cube
6×associate-*r* div-inv
5×pow1 cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×associate-*l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series14.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ y (* 3.0 (sqrt x)))
2.0ms
(/ (/ 1.0 x) 9.0)
4.0ms
(* 3.0 (sqrt x))

simplify61.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049451156
149451156

prune172.0ms

Filtered
95 candidates to 122 candidates (-28.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1202122
Fresh325
Picked011
Done022
Total1237130

Merged error: 0b

Counts
130 → 7

regimes101.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05214
15214

end0.0ms

sample491.0ms

Algorithm
intervals
Results
352.0ms8000×body80valid
4.0ms86×body80invalid

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