Details

Time bar (total: 4.7s)

sample75.0ms

Algorithm
intervals
Results
25.0ms80×body1280valid
17.0ms318×body80valid
14.0ms67×body640valid
4.0ms26×body320valid
2.0ms22×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 13.4b

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)

rewrite13.0ms

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)
5.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series245.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
84.0ms
(* (sin x) (sinh y))
95.0ms
(/ (* (sin x) (sinh y)) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0280320
11233272
25001255

prune117.0ms

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)
0.1b
(* (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))

series240.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
78.0ms
(/ (sinh y) x)
97.0ms
(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0328433
11261387
25001385

prune144.0ms

Filtered
77 candidates to 58 candidates (75.3%)
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
(sinh y)
0.0b
(/ x (sinh y))
0.8b
(/ (sin x) (/ x (sinh y)))

rewrite16.0ms

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:
1.0ms
(sinh y)
3.0ms
(/ x (sinh y))
7.0ms
(/ (sin x) (/ x (sinh y)))

series269.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
115.0ms
(/ x (sinh y))
95.0ms
(/ (sin x) (/ x (sinh y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0475938
11984886
25001865

prune241.0ms

Filtered
119 candidates to 97 candidates (81.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1163119
Fresh325
Picked011
Done011
Total1197126

Merged error: 0b

Counts
126 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ 1 (sinh y))
0.1b
(/ (sin x) x)
0.2b
(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
461×times-frac
223×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×add-exp-log div-inv
20×associate-/r* add-cbrt-cube
19×div-exp associate-/l*
16×sinh-def associate-/r/
10×cbrt-undiv
5×pow1
4×add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/l/ inv-pow
Counts
4 → 300
Calls
4 calls:
1.0ms
(sinh y)
4.0ms
(/ 1 (sinh y))
4.0ms
(/ (sin x) x)
12.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sinh y)
74.0ms
(/ 1 (sinh y))
29.0ms
(/ (sin x) x)
99.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014053454
150013122

prune521.0ms

Filtered
312 candidates to 195 candidates (62.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3120312
Fresh044
Picked011
Done022
Total3127319

Merged error: 0b

Counts
319 → 7

regimes79.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.1s

Algorithm
intervals
Results
610.0ms1935×body1280valid
509.0ms10332×body80valid
424.0ms1996×body640valid
172.0ms1087×body320valid
65.0ms586×body160valid

Profiling

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