Details

Time bar (total: 3.3s)

sample33.0ms

Algorithm
intervals
Results
8.0ms204×body80valid
8.0ms29×body1280valid
5.0ms28×body640valid
2.0ms16×body320valid
1.0ms8×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

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: 2.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.0b
(/ (* 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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
9.0ms
(/ (* x (/ (sin y) y)) z)

series147.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* x (/ (sin y) y))
29.0ms
(/ (sin y) y)
66.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune192.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh000
Picked101
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ (/ (sin y) y) z)
1.9b
(* x (/ (/ (sin y) y) z))

rewrite31.0ms

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:
4.0ms
(/ (sin y) y)
6.0ms
(/ (/ (sin y) y) z)
14.0ms
(* x (/ (/ (sin y) y) z))

series127.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
32.0ms
(/ (/ (sin y) y) z)
70.0ms
(* x (/ (/ (sin y) y) z))

simplify77.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06081176
128651100
250021100

prune368.0ms

Filtered
171 candidates to 138 candidates (80.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1692171
Fresh257
Picked011
Done000
Total1718179

Merged error: 0b

Counts
179 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
2.0b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×rec-exp 1-exp associate-/r* un-div-inv add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 89
Calls
3 calls:
7.0ms
(* x (* (sin y) (/ 1 y)))
7.0ms
(* (sin y) (/ 1 y))
9.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series147.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* x (* (sin y) (/ 1 y)))
29.0ms
(* (sin y) (/ 1 y))
68.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0415565
12095432
25002410

prune150.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh156
Picked011
Done011
Total988106

Merged error: 0b

Counts
106 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
0.6b
(/ 1 (/ z (* x (/ (sin y) y))))
2.0b
(/ z (* x (/ (sin y) y)))

rewrite29.0ms

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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
8.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
6.0ms
(/ z (* x (/ (sin y) y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
73.0ms
(/ 1 (/ z (* x (/ (sin y) y))))
99.0ms
(/ z (* x (/ (sin y) y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05081006
12791859
25002818

prune232.0ms

Filtered
159 candidates to 96 candidates (60.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1581159
Fresh145
Picked011
Done022
Total1598167

Merged error: 0b

Counts
167 → 8

regimes170.0ms

Accuracy

3.9% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.9b

bsearch39.0ms

Steps
ItersRangePoint
10
1.6055303331727859e-31
3.1123419082562647e-16
9.937669686729075e-17

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12210

end0.0ms

sample1.0s

Algorithm
intervals
Results
272.0ms983×body1280valid
243.0ms5864×body80valid
184.0ms1022×body640valid
78.0ms586×body320valid
28.0ms276×body160valid

Profiling

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