Details

Time bar (total: 5.2s)

sample76.0ms

Algorithm
intervals
Results
32.0ms116×body1280valid
15.0ms83×body640valid
10.0ms264×body80valid
3.0ms28×body320valid
2.0ms22×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

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: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(sinh y)
0.0b
(* (cos 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)
6.0ms
(* (cos x) (/ (sinh y) y))

series237.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (sinh y) y)
59.0ms
(sinh y)
88.0ms
(* (cos x) (/ (sinh y) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0324427
11285383
25001381

prune139.0ms

Filtered
77 candidates to 60 candidates (77.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New74377
Fresh000
Picked101
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (sinh y) y))
0.0b
(cbrt (/ (sinh y) y))
0.0b
(* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
0.0b
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
90×cbrt-prod
76×add-sqr-sqrt
60×times-frac
51×add-cube-cbrt *-un-lft-identity
19×associate-*l*
17×associate-*r*
16×pow1 swap-sqr
11×add-exp-log
10×cbrt-div unswap-sqr
8×pow1/3
7×add-cbrt-cube
6×div-inv
5×associate-*r/ pow-prod-down
4×prod-exp cbrt-unprod add-log-exp
2×frac-times associate-*l/ pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 144
Calls
4 calls:
2.0ms
(cbrt (/ (sinh y) y))
2.0ms
(cbrt (/ (sinh y) y))
10.0ms
(* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
12.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series865.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt (/ (sinh y) y))
203.0ms
(cbrt (/ (sinh y) y))
217.0ms
(* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
241.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04321541
114641456
250011365

prune426.0ms

Filtered
156 candidates to 123 candidates (78.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done000
Total1563159

Merged error: 0b

Counts
159 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:
2.0ms
(sinh y)
9.0ms
(/ (* (cos x) (sinh y)) y)
8.0ms
(* (cos x) (sinh y))

series234.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
89.0ms
(/ (* (cos x) (sinh y)) y)
81.0ms
(* (cos x) (sinh y))

simplify36.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0267317
11179271
25001253

prune92.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh101
Picked011
Done011
Total58361

Merged error: 0b

Counts
61 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.1b
(/ y (* (cos x) (sinh y)))
0.2b
(* (cos x) (sinh y))
0.2b
(/ 1 (/ y (* (cos x) (sinh y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
32×add-exp-log
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
14×div-exp
9×associate-/r*
7×pow1 cbrt-undiv sinh-def
6×associate-*r/ associate-/r/ div-inv associate-/l*
5×prod-exp
4×add-log-exp
3×rec-exp 1-exp associate-*r* associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 109
Calls
4 calls:
1.0ms
(sinh y)
5.0ms
(/ y (* (cos x) (sinh y)))
4.0ms
(* (cos x) (sinh y))
10.0ms
(/ 1 (/ y (* (cos x) (sinh y))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sinh y)
123.0ms
(/ y (* (cos x) (sinh y)))
73.0ms
(* (cos x) (sinh y))
79.0ms
(/ 1 (/ y (* (cos x) (sinh y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0448842
12109703
25002646

prune152.0ms

Filtered
121 candidates to 71 candidates (58.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done022
Total1213124

Merged error: 0b

Counts
124 → 3

regimes61.0ms

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
01113
11113

end0.0ms

sample2.2s

Algorithm
intervals
Results
894.0ms3062×body1280valid
455.0ms2531×body640valid
347.0ms8556×body80valid
146.0ms1184×body320valid
52.0ms603×body160valid

Profiling

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