Details

Time bar (total: 4.5s)

sample90.0ms

Algorithm
intervals
Results
30.0ms100×body1280valid
17.0ms90×body640valid
15.0ms283×body80valid
5.0ms37×body320valid
2.0ms17×body160valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
056897

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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)
8.0ms
(* (sin x) (/ (sinh y) y))
4.0ms
(/ (sinh y) y)

series53.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(sinh y)
30.0ms
(* (sin x) (/ (sinh y) y))
14.0ms
(/ (sinh y) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05948621

prune83.0ms

Filtered
63 candidates to 77 candidates (-22.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New74377
Fresh000
Picked101
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ 1 (/ y (sinh y)))
0.0b
(* (sin x) (/ 1 (/ y (sinh y))))
0.0b
(/ y (sinh y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
9×sinh-def
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 192
Calls
4 calls:
1.0ms
(sinh y)
7.0ms
(/ 1 (/ y (sinh y)))
21.0ms
(* (sin x) (/ 1 (/ y (sinh y))))
4.0ms
(/ y (sinh y))

series64.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sinh y)
13.0ms
(/ 1 (/ y (sinh y)))
23.0ms
(* (sin x) (/ 1 (/ y (sinh y))))
19.0ms
(/ y (sinh y))

simplify49.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
049531914
149531914

prune178.0ms

Filtered
143 candidates to 204 candidates (-42.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2040204
Fresh022
Picked011
Done000
Total2043207

Merged error: 0b

Counts
207 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×add-cube-cbrt *-un-lft-identity times-frac
28×sqrt-prod
19×associate-*r*
17×associate-*l*
15×add-exp-log add-cbrt-cube
11×pow1
6×associate-/r* associate-/l*
5×sqrt-div
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp
3×unswap-sqr
2×cbrt-undiv sinh-def frac-2neg div-exp clear-num *-commutative associate-/l/
1×frac-times associate-*r/
Counts
4 → 124
Calls
4 calls:
5.0ms
(/ (sinh y) y)
4.0ms
(/ (sinh y) y)
13.0ms
(* (* (sqrt (/ (sinh y) y)) (sin x)) (sqrt (/ (sinh y) y)))
11.0ms
(* (sqrt (/ (sinh y) y)) (sin x))

series155.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (sinh y) y)
13.0ms
(/ (sinh y) y)
58.0ms
(* (* (sqrt (/ (sinh y) y)) (sin x)) (sqrt (/ (sinh y) y)))
70.0ms
(* (sqrt (/ (sinh y) y)) (sin x))

simplify48.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050291672

prune143.0ms

Filtered
107 candidates to 136 candidates (-27.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh011
Picked011
Done011
Total1363139

Merged error: 0b

Counts
139 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b
(/ (sinh y) y)
0.0b
(pow (/ (sinh y) y) 3)
0.3b
(cbrt (pow (/ (sinh y) y) 3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
70×cbrt-prod
65×times-frac
59×add-cube-cbrt *-un-lft-identity
41×unpow-prod-down cube-prod
35×associate-*r*
11×add-exp-log
10×add-cbrt-cube
7×pow1 div-inv unswap-sqr
4×add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cbrt-div div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sinh-def pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod associate-/l/
Counts
4 → 173
Calls
4 calls:
15.0ms
(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
5.0ms
(/ (sinh y) y)
6.0ms
(pow (/ (sinh y) y) 3)
5.0ms
(cbrt (pow (/ (sinh y) y) 3))

series78.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
13.0ms
(/ (sinh y) y)
21.0ms
(pow (/ (sinh y) y) 3)
18.0ms
(cbrt (pow (/ (sinh y) y) 3))

simplify35.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
052871672

prune364.0ms

Filtered
109 candidates to 185 candidates (-69.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1850185
Fresh000
Picked011
Done022
Total1853188

Merged error: 0b

Counts
188 → 3

regimes181.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

sample2.7s

Algorithm
intervals
Results
931.0ms3056×body1280valid
510.0ms2561×body640valid
431.0ms8495×body80valid
180.0ms1265×body320valid
68.0ms648×body160valid

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