Details

Time bar (total: 3.7s)

sample47.0ms

Algorithm
intervals
Results
8.0ms182×body80valid
8.0ms25×body1280valid
6.0ms29×body640valid
3.0ms23×body320valid
1.0ms13×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
3.4b
(/ (* 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:
10.0ms
(* x (/ (sin y) y))
5.0ms
(/ (sin y) y)
15.0ms
(/ (* x (/ (sin y) y)) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326487
11643420
25002420

prune104.0ms

Filtered
92 candidates to 66 candidates (28.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New85792
Fresh000
Picked101
Done000
Total86793

Merged error: 0.0b

Counts
93 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.2b
(/ (sin y) y)
1.7b
(/ x (/ z (/ (sin y) y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
8.0ms
(/ z (/ (sin y) y))
3.0ms
(/ (sin y) y)
12.0ms
(/ x (/ z (/ (sin y) y)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
15.0ms
(/ x (/ z (/ (sin y) y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011102950
150012830

prune257.0ms

Filtered
302 candidates to 258 candidates (14.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2993302
Fresh246
Picked101
Done000
Total3027309

Merged error: 0b

Counts
309 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.2b
(/ (sin y) y)
1.9b
(* 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:
8.0ms
(/ (/ (sin y) y) z)
3.0ms
(/ (sin y) y)
14.0ms
(* x (/ (/ (sin y) y) z))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
14.0ms
(* x (/ (/ (sin y) y) z))

simplify70.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06051176
128621100
250011100

prune147.0ms

Filtered
171 candidates to 138 candidates (19.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1710171
Fresh066
Picked011
Done000
Total1717178

Merged error: 0b

Counts
178 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.2b
(/ (sin y) y)
0.7b
(/ 1 (/ (/ z (/ (sin y) y)) x))
1.8b
(/ (/ z (/ (sin y) y)) x)

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
2208×times-frac
976×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
155×associate-/r*
76×div-inv
54×add-exp-log
53×associate-/l*
36×div-exp
34×add-cbrt-cube
20×cbrt-undiv
18×associate-/r/
5×pow1
4×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
4 → 869
Calls
4 calls:
9.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
29.0ms
(/ 1 (/ (/ z (/ (sin y) y)) x))
12.0ms
(/ (/ z (/ (sin y) y)) x)

series49.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
16.0ms
(/ 1 (/ (/ z (/ (sin y) y)) x))
16.0ms
(/ (/ z (/ (sin y) y)) x)

simplify167.0ms

Algorithm
egg-herbie
Counts
881 → 881
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
0328911402
1500210784

prune753.0ms

Filtered
881 candidates to 638 candidates (27.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New8810881
Fresh055
Picked011
Done011
Total8817888

Merged error: 0b

Counts
888 → 7

regimes321.0ms

Accuracy

44.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.9b

bsearch36.0ms

Steps
ItersRangePoint
10
-8.071356101343283e+74
-4.5183960507425074e+55
-9.185436314121581e+55

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample1.3s

Algorithm
intervals
Results
325.0ms1022×body1280valid
279.0ms5831×body80valid
227.0ms1026×body640valid
84.0ms553×body320valid
31.0ms291×body160valid

Profiling

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