Details

Time bar (total: 4.0s)

sample66.0ms

Algorithm
intervals
Results
17.0ms55×body1280valid
15.0ms329×body80valid
13.0ms66×body640valid
5.0ms38×body320valid
2.0ms25×body160valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
850014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.4b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series229.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(sinh y)
80.0ms
(* (sin x) (sinh y))
91.0ms
(/ (* (sin x) (sinh y)) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0280320
11233272
25001255

prune109.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New52658
Fresh000
Picked101
Done000
Total53659

Merged error: 0.0b

Counts
59 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series219.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
70.0ms
(/ (sinh y) x)
90.0ms
(* (sin x) (/ (sinh y) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0328433
11261387
25001385

prune134.0ms

Filtered
77 candidates to 57 candidates (74.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh055
Picked011
Done000
Total76783

Merged error: 0.0b

Counts
83 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.9b
(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
3.0ms
(/ x (sinh y))
1.0ms
(sinh y)
7.0ms
(/ (sin x) (/ x (sinh y)))

series265.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(/ x (sinh y))
58.0ms
(sinh y)
94.0ms
(/ (sin x) (/ x (sinh y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0475938
11984886
25001865

prune232.0ms

Filtered
119 candidates to 99 candidates (83.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh325
Picked011
Done011
Total1206126

Merged error: 0b

Counts
126 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(* (/ (sin x) x) (sinh y))
0.1b
(/ (sin x) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1
3×sinh-def associate-*r* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(* (/ (sin x) x) (sinh y))
4.0ms
(/ (sin x) x)

series197.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(sinh y)
92.0ms
(* (/ (sin x) x) (sinh y))
31.0ms
(/ (sin x) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0311427
11229381
25002358

prune128.0ms

Filtered
78 candidates to 59 candidates (75.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh123
Picked101
Done022
Total79584

Merged error: 0b

Counts
84 → 5

regimes59.0ms

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
0115
1115

end0.0ms

sample2.1s

Algorithm
intervals
Results
605.0ms1926×body1280valid
493.0ms10374×body80valid
403.0ms1926×body640valid
166.0ms1107×body320valid
64.0ms642×body160valid

Profiling

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