Details

Time bar (total: 2.8s)

sample44.0ms

Algorithm
intervals
Results
11.0ms36×body1280valid
9.0ms183×body80valid
7.0ms33×body640valid
3.0ms17×body320valid
0.0msbody160valid

simplify9.0ms

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: 2.2b

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*
cbrt-undiv div-exp associate-/r*
pow1
prod-exp cbrt-unprod associate-/l*
associate-*l* div-inv add-log-exp
frac-2neg associate-*r/ clear-num unswap-sqr
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)

series31.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25002420

prune108.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh000
Picked101
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.2b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))
2.2b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
pow1 associate-/l*
rec-exp 1-exp cbrt-unprod
unswap-sqr
add-log-exp
frac-2neg associate-*l* clear-num
associate-*r/ associate-/r/ un-div-inv associate-/l/
pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
14.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
10.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series36.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
17.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify84.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07091443
136911225
250031088

prune176.0ms

Filtered
130 candidates to 219 candidates (-68.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2163219
Fresh257
Picked101
Done000
Total2198227

Merged error: 0.0b

Counts
227 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ y (sin y)))
0.2b
(/ y (sin y))
2.2b
(/ (/ x (/ y (sin y))) z)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
50×associate-/l*
23×div-inv
19×add-exp-log associate-/r* add-cbrt-cube
10×cbrt-undiv div-exp
associate-/r/
pow1 frac-2neg clear-num add-log-exp
associate-/l/
Counts
3 → 293
Calls
3 calls:
6.0ms
(/ x (/ y (sin y)))
3.0ms
(/ y (sin y))
12.0ms
(/ (/ x (/ y (sin y))) z)

series31.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ x (/ y (sin y)))
6.0ms
(/ y (sin y))
15.0ms
(/ (/ x (/ y (sin y))) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011622917
150022805

prune256.0ms

Filtered
258 candidates to 302 candidates (-17.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3002302
Fresh257
Picked101
Done000
Total3037310

Merged error: 0b

Counts
310 → 7

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
cbrt-undiv
associate-*r/ associate-*l* pow-prod-down
rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
*-commutative unswap-sqr
frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 105
Calls
3 calls:
7.0ms
(* 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:
12.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
14.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify65.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0480667
12656552
25001539

prune79.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh066
Picked011
Done000
Total1147121

Merged error: 0b

Counts
121 → 7

regimes324.0ms

Accuracy

83.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.0b

bsearch52.0ms

Steps
ItersRangePoint
9
1.903719991440474e+105
1.521730650376432e+110
2.3563166631361264e+105
8
-1.5292837248943393e+60
-4.6986329538044373e+55
-2.854399259778968e+58

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample1.3s

Algorithm
intervals
Results
299.0ms1007×body1280valid
268.0ms5759×body80valid
224.0ms1087×body640valid
86.0ms553×body320valid
30.0ms293×body160valid

Profiling

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