Details

Time bar (total: 4.5s)

analyze350.0ms

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
25%74.9%0.1%5
25%68.7%6.3%6
43.7%46.8%9.5%7
43.7%42.1%14.1%8
46.8%36.7%16.5%9
46.8%34%19.2%10
48.4%31%20.6%11
48.4%29.6%22%12
49.2%28%22.8%13
49.2%27.3%23.5%14

sample77.0ms

Algorithm
intervals
Results
18.0ms51×body1280valid
13.0ms44×body1280invalid
7.0ms37×body640invalid
7.0ms33×body640valid
6.0ms129×body80valid
4.0ms30×body320invalid
4.0ms31×body320valid
1.0ms15×body160invalid
1.0ms12×body160valid
1.0ms15×body80invalid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049887
149887

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.2b
(/ (sin y) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series26.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05777568

prune86.0ms

Filtered
53 candidates to 67 candidates (-26.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New60767
Fresh000
Picked011
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 178
Calls
3 calls:
16.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ y (sin y))
4.0ms
(/ 1 (/ y (sin y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049521761
149521761

prune165.0ms

Filtered
125 candidates to 187 candidates (-49.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1852187
Fresh246
Picked011
Done011
Total1878195

Merged error: 0b

Counts
195 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b
(/ 1 (sin y))
0.2b
(/ (/ 1 y) (/ 1 (sin y)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×associate-*l* add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 479
Calls
3 calls:
43.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
3.0ms
(/ 1 (sin y))
13.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
4.0ms
(/ 1 (sin y))
4.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify112.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049715934
149715934

prune444.0ms

Filtered
257 candidates to 488 candidates (-89.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4880488
Fresh055
Picked011
Done022
Total4888496

Merged error: 0b

Counts
496 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
0.1b
(/ 1 (sin y))
0.2b
(/ 1 (* y (/ 1 (sin y))))
0.2b
(* y (/ 1 (sin y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
44×prod-exp
36×div-exp
34×add-sqr-sqrt add-cbrt-cube
26×*-un-lft-identity times-frac
25×add-cube-cbrt
22×associate-*r*
18×rec-exp 1-exp
12×pow1
10×cbrt-undiv cbrt-unprod
6×associate-*l* associate-/l*
4×associate-*r/ associate-/r* associate-/r/ un-div-inv div-inv add-log-exp unswap-sqr
3×pow-flip pow-prod-down
2×cosh-def frac-2neg clear-num *-commutative inv-pow
1×frac-times associate-*l/
Counts
4 → 153
Calls
4 calls:
11.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
4.0ms
(/ 1 (sin y))
9.0ms
(/ 1 (* y (/ 1 (sin y))))
7.0ms
(* y (/ 1 (sin y)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
4.0ms
(/ 1 (sin y))
4.0ms
(/ 1 (* y (/ 1 (sin y))))
6.0ms
(* y (/ 1 (sin y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049581056
149581056

prune98.0ms

Filtered
81 candidates to 165 candidates (-103.7%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1650165
Fresh044
Picked011
Done033
Total1658173

Merged error: 0b

Counts
173 → 8

regimes264.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms

sample2.4s

Algorithm
intervals
Results
589.0ms1545×body1280valid
474.0ms1506×body1280invalid
263.0ms1222×body640valid
260.0ms1221×body640invalid
226.0ms4359×body80valid
94.0ms637×body320invalid
86.0ms585×body320valid
35.0ms312×body160invalid
31.0ms522×body80invalid
29.0ms289×body160valid

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