Details

Time bar (total: 8.5s)

sample45.0ms

Algorithm
intervals
Results
11.0ms38×body1280valid
9.0ms203×body80valid
5.0ms24×body640valid
2.0ms15×body320valid
1.0ms9×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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))
7.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series135.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)
64.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0347493
11722429
25001429

prune328.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New86692
Fresh000
Picked101
Done000
Total87693

Merged error: 0.0b

Counts
93 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.2b
(/ 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:
5.0ms
(/ z (/ (sin y) y))
3.0ms
(/ (sin y) y)
13.0ms
(/ x (/ z (/ (sin y) y)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ z (/ (sin y) y))
22.0ms
(/ (sin y) y)
77.0ms
(/ x (/ z (/ (sin y) y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011212951
150022834

prune1.3s

Filtered
302 candidates to 258 candidates (85.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2993302
Fresh235
Picked011
Done000
Total3017308

Merged error: 0b

Counts
308 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
2.3b
(* 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))

series117.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (/ (sin y) y) z)
22.0ms
(/ (sin y) y)
67.0ms
(* x (/ (/ (sin y) y) z))

simplify72.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06191178
129111105
250021105

prune655.0ms

Filtered
171 candidates to 138 candidates (80.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1710171
Fresh055
Picked011
Done011
Total1717178

Merged error: 0b

Counts
178 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
0.4b
(/ 1 (/ (/ z (/ (sin y) y)) x))
2.1b
(/ (/ z (/ (sin y) y)) x)

rewrite127.0ms

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:
6.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
32.0ms
(/ 1 (/ (/ z (/ (sin y) y)) x))
12.0ms
(/ (/ z (/ (sin y) y)) x)

series234.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ z (/ (sin y) y))
22.0ms
(/ (sin y) y)
80.0ms
(/ 1 (/ (/ z (/ (sin y) y)) x))
74.0ms
(/ (/ z (/ (sin y) y)) x)

simplify165.0ms

Algorithm
egg-herbie
Counts
881 → 881
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
0331011407
1500210793

prune3.3s

Filtered
881 candidates to 639 candidates (72.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New8810881
Fresh044
Picked011
Done022
Total8817888

Merged error: 0b

Counts
888 → 7

regimes379.0ms

Accuracy

39.3% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.2b

bsearch50.0ms

Steps
ItersRangePoint
8
-6.856527875648579e+102
-2.4758254467052483e+100
-3.504525064043836e+100

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179
1179

end0.0ms

sample1.2s

Algorithm
intervals
Results
295.0ms1004×body1280valid
262.0ms5856×body80valid
210.0ms1021×body640valid
86.0ms564×body320valid
32.0ms296×body160valid

Profiling

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