Details

Time bar (total: 3.8s)

analyze567.0ms

Algorithm
search

sample38.0ms

Algorithm
intervals
Results
8.0ms27×body1280valid
8.0ms171×body80valid
8.0ms38×body640valid
2.0ms12×body320valid
1.0ms17×body80invalid
1.0msbody160valid
0.0msbody320invalid
0.0msbody640invalid
0.0msbody160invalid

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: 3.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
3.4b
(/ (* x (/ (sin y) y)) z)

rewrite39.0ms

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:
16.0ms
(* x (/ (sin y) y))
7.0ms
(/ (sin y) y)
10.0ms
(/ (* x (/ (sin y) y)) z)

series33.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
15.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326487
11643420
25002420

prune113.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.2b
(/ (sin y) y)
2.6b
(/ x (/ z (/ (sin y) y)))

rewrite38.0ms

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
associate-/l*
associate-/r/
pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
5.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
12.0ms
(/ x (/ z (/ (sin y) y)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ z (/ (sin y) y))
4.0ms
(/ (sin y) y)
20.0ms
(/ x (/ z (/ (sin y) y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011102950
150012830

prune239.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2993302
Fresh628
Picked011
Done000
Total3056311

Merged error: 0b

Counts
311 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))
3.4b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite41.0ms

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)))
9.0ms
(/ (* 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))
7.0ms
(/ 1 (/ y (sin y)))
14.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify83.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07091443
136911225
250031088

prune147.0ms

Filtered
132 candidates to 219 candidates (-65.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2190219
Fresh044
Picked011
Done011
Total2196225

Merged error: 0b

Counts
225 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.2b
(/ (sin y) y)
3.5b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite22.0ms

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:
6.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
9.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series27.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
14.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify63.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0480667
12656552
25001539

prune90.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh033
Picked011
Done022
Total1146120

Merged error: 0b

Counts
120 → 6

regimes330.0ms

Accuracy

95% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.8b

bsearch273.0ms

Steps
ItersRangePoint
7
1.7568767142719496e+32
3.3852333078463333e+33
5.459026658374886e+32
7
-568.7578700699311
-2.529021531208414
-501.14721278808497

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

analyze383.0ms

Algorithm
search

sample1.1s

Algorithm
intervals
Results
289.0ms960×body1280valid
261.0ms5321×body80valid
203.0ms968×body640valid
76.0ms482×body320valid
27.0ms269×body160valid
24.0ms482×body80invalid
8.0ms40×body640invalid
6.0ms46×body320invalid
4.0ms11×body1280invalid
3.0ms35×body160invalid

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