Details

Time bar (total: 4.0s)

analyze395.0ms

Algorithm
search

sample68.0ms

Algorithm
intervals
Results
17.0ms163×body80valid
15.0ms31×body1280valid
10.0ms31×body640valid
4.0ms17×body320valid
2.0ms14×body160valid
2.0ms19×body80invalid
0.0msbody640invalid
0.0msbody160invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.8b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.8b
(/ (* x (/ (sin y) y)) z)

rewrite31.0ms

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:
11.0ms
(* x (/ (sin y) y))
6.0ms
(/ (sin y) y)
9.0ms
(/ (* x (/ (sin y) y)) z)

series42.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(* x (/ (sin y) y))
7.0ms
(/ (sin y) y)
24.0ms
(/ (* x (/ (sin y) y)) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (9.0ms)

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
2.9b
(* x (/ (/ (sin y) y) z))

rewrite30.0ms

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
cbrt-undiv div-exp
associate-/r*
pow1
associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
frac-2neg clear-num
associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
6.0ms
(/ (/ (sin y) y) z)
3.0ms
(/ (sin y) y)
15.0ms
(* x (/ (/ (sin y) y) z))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (/ (sin y) y) z)
4.0ms
(/ (sin y) y)
14.0ms
(* x (/ (/ (sin y) y) z))

simplify68.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06051176
128621100
250011100

prune174.0ms

Filtered
135 candidates to 171 candidates (-26.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1692171
Fresh167
Picked011
Done000
Total1709179

Merged error: 0b

Counts
179 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (* (sin y) (/ 1 y)) z)
0.2b
(* (sin y) (/ 1 y))
2.9b
(* x (/ (* (sin y) (/ 1 y)) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
20×associate-*r*
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp
10×cbrt-unprod
cbrt-undiv
pow1
associate-*l*
unswap-sqr
rec-exp 1-exp associate-*r/ associate-/r* div-inv add-log-exp
pow-prod-down un-div-inv *-commutative associate-/l/
frac-2neg clear-num associate-/l*
Counts
3 → 94
Calls
3 calls:
6.0ms
(/ (* (sin y) (/ 1 y)) z)
7.0ms
(* (sin y) (/ 1 y))
8.0ms
(* x (/ (* (sin y) (/ 1 y)) z))

series27.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (* (sin y) (/ 1 y)) z)
4.0ms
(* (sin y) (/ 1 y))
14.0ms
(* x (/ (* (sin y) (/ 1 y)) z))

simplify53.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0445603
12181481
25001449

prune104.0ms

Filtered
65 candidates to 103 candidates (-58.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh077
Picked011
Done011
Total1039112

Merged error: 0b

Counts
112 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.9b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite25.0ms

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))
4.0ms
(/ (sin y) y)
11.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series29.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
14.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify68.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0480667
12656552
25001539

prune90.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh156
Picked011
Done112
Total1158123

Merged error: 0b

Counts
123 → 8

regimes422.0ms

Accuracy

88.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch533.0ms

Steps
ItersRangePoint
9
3.7378398427896893e-07
0.03495615154080449
0.0004233989868331463
8
-8.560178505729117e+91
-1.929881022160383e+88
-1.8467107157685995e+89

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

analyze413.0ms

Algorithm
search

sample1.2s

Algorithm
intervals
Results
323.0ms995×body1280valid
274.0ms5275×body80valid
201.0ms935×body640valid
78.0ms529×body320valid
27.0ms266×body160valid
25.0ms491×body80invalid
12.0ms60×body640invalid
7.0ms48×body320invalid
3.0ms10×body1280invalid
3.0ms31×body160invalid

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