Details

Time bar (total: 2.8s)

sample43.0ms

Algorithm
intervals
Results
9.0ms197×body80valid
8.0ms27×body1280valid
8.0ms37×body640valid
2.0ms13×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

prune3.0ms

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)

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)

series32.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
18.0ms
(/ (* x (/ (sin y) y)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326487
11643420
25002420

prune117.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New83992
Fresh000
Picked101
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.3b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
9.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series30.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
6.0ms
(/ (sin y) y)
14.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify63.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0480667
12656552
25001539

prune104.0ms

Filtered
72 candidates to 114 candidates (-58.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1122114
Fresh358
Picked101
Done000
Total1167123

Merged error: 0b

Counts
123 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ 1 (/ y (sin y)))
2.3b
(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
156×add-exp-log
111×add-sqr-sqrt
99×*-un-lft-identity
97×add-cube-cbrt
67×prod-exp
59×div-exp
57×associate-*r*
52×add-cbrt-cube
20×rec-exp 1-exp
17×cbrt-undiv cbrt-unprod
16×associate-/r*
12×pow1
11×div-inv
6×associate-/l*
5×unswap-sqr
4×associate-*r/ associate-*l* pow-prod-down un-div-inv add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ *-commutative
1×pow-flip inv-pow
Counts
4 → 246
Calls
4 calls:
3.0ms
(/ y (sin y))
14.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
14.0ms
(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

series37.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ y (sin y))
10.0ms
(* x (/ 1 (/ y (sin y))))
4.0ms
(/ 1 (/ y (sin y)))
18.0ms
(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

simplify100.0ms

Algorithm
egg-herbie
Counts
258 → 258
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09401762
147081435
250011434

prune208.0ms

Filtered
150 candidates to 258 candidates (-72.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2571258
Fresh246
Picked011
Done000
Total2596265

Merged error: 0b

Counts
265 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×div-inv
16×add-exp-log associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 242
Calls
2 calls:
3.0ms
(/ y (sin y))
10.0ms
(/ (/ x z) (/ y (sin y)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ y (sin y))
15.0ms
(/ (/ x z) (/ y (sin y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013102709
150012619

prune179.0ms

Filtered
202 candidates to 248 candidates (-22.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2480248
Fresh044
Picked011
Done011
Total2486254

Merged error: 0b

Counts
254 → 6

regimes295.0ms

Accuracy

42.1% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.8b

bsearch24.0ms

Steps
ItersRangePoint
7
-1.1493549481802984e+31
-1.5637729638633982e+29
-8.011301261708857e+30

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01910
11910

end0.0ms

sample1.3s

Algorithm
intervals
Results
335.0ms1064×body1280valid
272.0ms5851×body80valid
223.0ms1050×body640valid
75.0ms510×body320valid
29.0ms290×body160valid

Profiling

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