Details

Time bar (total: 3.5s)

sample85.0ms

Algorithm
intervals
Results
32.0ms95×body1280valid
15.0ms253×body80valid
12.0ms66×body640valid
5.0ms36×body320valid
3.0ms27×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
55004
614274
746404
850014

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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

series42.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (sinh y) y)
7.0ms
(sinh y)
21.0ms
(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0333428
11323384
25002382

prune79.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New74377
Fresh000
Picked101
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×sinh-def cbrt-div
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (sinh y))
2.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))

series103.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
26.0ms
(cbrt (sinh y))
26.0ms
(cbrt (sinh y))
28.0ms
(cbrt (sinh y))

simplify41.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0136318
1294299
21020229
35001210

prune60.0ms

Filtered
44 candidates to 59 candidates (-34.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done000
Total59362

Merged error: 0b

Counts
62 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.8b
(/ (* (sin x) (sinh y)) y)

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)) y)

series43.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
16.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0279320
11233272
25002255

prune52.0ms

Filtered
43 candidates to 58 candidates (-34.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done011
Total58361

Merged error: 0b

Counts
61 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×add-exp-log add-cbrt-cube
11×pow1
9×times-frac sqrt-prod
6×associate-*l*
5×prod-exp cbrt-unprod
4×add-log-exp
3×pow-prod-down associate-/r* associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ div-exp
1×sinh-def frac-2neg associate-*r* clear-num *-commutative div-inv associate-/l/
Counts
4 → 78
Calls
4 calls:
3.0ms
(/ (sinh y) y)
1.0ms
(sqrt (sin x))
1.0ms
(sqrt (sin x))
9.0ms
(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (sinh y) y)
3.0ms
(sqrt (sin x))
3.0ms
(sqrt (sin x))
21.0ms
(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0357516
11337432
25001411

prune70.0ms

Filtered
62 candidates to 90 candidates (-45.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done022
Total90393

Merged error: 0b

Counts
93 → 3

regimes151.0ms

Accuracy

0% (0.0b 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
01416
11416

end0.0ms

sample2.4s

Algorithm
intervals
Results
905.0ms2981×body1280valid
453.0ms2359×body640valid
381.0ms8603×body80valid
161.0ms1191×body320valid
61.0ms638×body160valid

Profiling

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