Details

Time bar (total: 4.8s)

sample41.0ms

Algorithm
intervals
Results
9.0ms186×body80valid
9.0ms29×body1280valid
6.0ms29×body640valid
4.0ms26×body320valid
2.0ms16×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune3.0ms

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: 2.7b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.7b
(/ (* x (/ (sin y) y)) z)

rewrite21.0ms

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:
4.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))
7.0ms
(/ (* x (/ (sin y) y)) z)

series155.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (sin y) y)
53.0ms
(* x (/ (sin y) y))
76.0ms
(/ (* x (/ (sin y) y)) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326487
11643420
25002420

prune180.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New84892
Fresh000
Picked011
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize8.0ms

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)))

rewrite40.0ms

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

series181.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/ z (/ (sin y) y))
26.0ms
(/ (sin y) y)
84.0ms
(/ x (/ z (/ (sin y) y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011102950
150012830

prune715.0ms

Filtered
302 candidates to 258 candidates (85.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2975302
Fresh437
Picked011
Done101
Total3029311

Merged error: 0b

Counts
311 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
0.4b
(/ 1 (/ z (* x (/ (sin y) y))))
2.7b
(/ z (* x (/ (sin y) y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*r*
12×associate-/r*
10×prod-exp
9×associate-/l*
8×div-inv
7×pow1
6×associate-*r/ associate-/r/ cbrt-unprod
4×rec-exp 1-exp add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 147
Calls
4 calls:
4.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))
8.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
6.0ms
(/ z (* x (/ (sin y) y)))

series265.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (sin y) y)
60.0ms
(* x (/ (sin y) y))
71.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
108.0ms
(/ z (* x (/ (sin y) y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05081004
12791857
25002816

prune239.0ms

Filtered
159 candidates to 94 candidates (59.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1590159
Fresh077
Picked011
Done011
Total1599168

Merged error: 0b

Counts
168 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
110×add-sqr-sqrt
82×associate-*r*
78×add-cube-cbrt *-un-lft-identity
52×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
15×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×unswap-sqr
8×div-inv
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 162
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
38.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series681.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt z)
195.0ms
(cbrt z)
187.0ms
(cbrt z)
115.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010231798
150021497

prune476.0ms

Filtered
174 candidates to 148 candidates (85.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1740174
Fresh066
Picked011
Done022
Total1749183

Merged error: 0b

Counts
183 → 9

regimes181.0ms

Accuracy

36.8% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.0b

bsearch49.0ms

Steps
ItersRangePoint
9
-1.1037471309609089e+61
-1.1354868634949837e+55
-7.86132170597249e+56

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179
1179

end0.0ms

sample1.2s

Algorithm
intervals
Results
327.0ms1048×body1280valid
298.0ms5804×body80valid
215.0ms968×body640valid
87.0ms547×body320valid
31.0ms297×body160valid

Profiling

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