Details

Time bar (total: 3.1s)

analyze399.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14

sample43.0ms

Algorithm
intervals
Results
14.0ms37×body1280valid
8.0ms163×body80valid
6.0ms34×body640valid
2.0ms12×body320valid
1.0ms22×body80invalid
1.0ms10×body160valid
1.0ms4×body640invalid
0.0ms1×body320invalid
0.0ms1×body160invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0678
1678

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.0b
(/ (* 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))
3.0ms
(/ (sin y) y)
6.0ms
(/ (* x (/ (sin y) y)) z)

series32.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04952739
14952739

prune98.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New86692
Fresh011
Picked101
Done000
Total87794

Merged error: 0b

Counts
94 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
3.0b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite44.0ms

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
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
15.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
11.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series39.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* x (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))
15.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify74.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049511967
149511967

prune180.0ms

Filtered
142 candidates to 219 candidates (-54.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2181219
Fresh156
Picked101
Done000
Total2206226

Merged error: 0b

Counts
226 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(/ x (/ y (sin y)))
3.0b
(/ (/ x (/ y (sin y))) z)

rewrite40.0ms

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
5×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
3 → 293
Calls
3 calls:
3.0ms
(/ y (sin y))
6.0ms
(/ x (/ y (sin y)))
12.0ms
(/ (/ x (/ y (sin y))) z)

series30.0ms

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

simplify87.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049404547
149404547

prune246.0ms

Filtered
262 candidates to 302 candidates (-15.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3020302
Fresh055
Picked011
Done000
Total3026308

Merged error: 0b

Counts
308 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
3.1b
(* (* 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))
3.0ms
(/ (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))

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04979943
14979943

prune77.0ms

Filtered
70 candidates to 114 candidates (-62.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh134
Picked011
Done011
Total1146120

Merged error: 0b

Counts
120 → 6

regimes308.0ms

Accuracy

73.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.6b

bsearch50.0ms

Steps
ItersRangePoint
9
3.5784490661366764e-92
6.410839168303236e-85
1.5296300629480374e-87
9
-1.2888103690307447e+91
-3.868961523673721e+81
-7.86796053966447e+81

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02025
12025

end0.0ms

sample1.1s

Algorithm
intervals
Results
303.0ms982×body1280valid
250.0ms5289×body80valid
191.0ms962×body640valid
77.0ms527×body320valid
27.0ms240×body160valid
23.0ms484×body80invalid
10.0ms55×body640invalid
5.0ms38×body320invalid
3.0ms30×body160invalid
3.0ms9×body1280invalid

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