Details

Time bar (total: 3.2s)

sample211.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.053073%

Results
14.0ms206×body80valid
11.0ms36×body1280valid
6.0ms28×body640valid
1.0ms10×body320valid
1.0ms10×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
2.5b
(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series30.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
15.0ms
(/ (* x (/ (sin y) y)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326487
11643420
25002420

prune106.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85792
Fresh000
Picked011
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.2b
(/ (sin y) y)
2.2b
(* x (/ (/ (sin y) y) z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
6.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
16.0ms
(* x (/ (/ (sin y) y) z))

series27.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
15.0ms
(* x (/ (/ (sin y) y) z))

simplify71.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06051176
128621100
250011100

prune154.0ms

Filtered
135 candidates to 171 candidates (-26.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1692171
Fresh246
Picked011
Done011
Total1718179

Merged error: 0b

Counts
179 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
2.5b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
14.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
10.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series37.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
16.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify85.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07091443
136911225
250031088

prune166.0ms

Filtered
129 candidates to 219 candidates (-69.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2181219
Fresh145
Picked011
Done112
Total2207227

Merged error: 0b

Counts
227 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(* z (/ y (sin y)))
2.5b
(/ x (* z (/ y (sin y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/l*
5×pow1
4×prod-exp associate-/r* cbrt-unprod
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
3 → 83
Calls
3 calls:
3.0ms
(/ y (sin y))
6.0ms
(* z (/ y (sin y)))
6.0ms
(/ x (* z (/ y (sin y))))

series40.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (sin y))
17.0ms
(* z (/ y (sin y)))
17.0ms
(/ x (* z (/ y (sin y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0317488
11601421
25001420

prune70.0ms

Filtered
67 candidates to 92 candidates (-37.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done022
Total92799

Merged error: 0b

Counts
99 → 7

regimes496.0ms

Accuracy

91.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.9b

bsearch48.0ms

Steps
ItersRangePoint
9
5.694402026101314e+68
2.583245332962917e+75
6.53255820143182e+68
6
-1.854785607958336e+24
-2.121935630458675e+23
-1.706972539113208e+24

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample1.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.053073%

Results
311.0ms992×body1280valid
305.0ms5895×body80valid
217.0ms995×body640valid
83.0ms561×body320valid
35.0ms302×body160valid

Profiling

Loading profile data...