Details

Time bar (total: 3.6s)

sample87.0ms

Algorithm
intervals
Results
36.0ms108×body1280valid
14.0ms80×body640valid
10.0ms245×body80valid
5.0ms40×body320valid
3.0ms23×body160valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (48.0ms)

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) y)
0.0b
(* (cos x) (/ (sinh y) y))
0.0b
(sinh 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)
6.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series43.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ (sinh y) y)
23.0ms
(* (cos x) (/ (sinh y) y))
9.0ms
(sinh y)

simplify41.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05923621

prune70.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
2.0ms
(cbrt (/ (sinh y) y))
2.0ms
(cbrt (/ (sinh y) y))
2.0ms
(cbrt (/ (sinh y) y))
12.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (/ (sinh y) y))
35.0ms
(cbrt (/ (sinh y) y))
37.0ms
(cbrt (/ (sinh y) y))
43.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049311814
149311814

prune151.0ms

Filtered
126 candidates to 156 candidates (-23.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done000
Total1563159

Merged error: 0b

Counts
159 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

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 div-exp associate-*l/ 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
(* (sinh y) (cos x))
5.0ms
(/ (* (sinh y) (cos x)) y)

series40.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
15.0ms
(* (sinh y) (cos x))
18.0ms
(/ (* (sinh y) (cos x)) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05460441

prune52.0ms

Filtered
45 candidates to 58 candidates (-28.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh011
Picked011
Done011
Total58361

Merged error: 0b

Counts
61 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos x)) (cbrt (cos x)))
0.4b
(cbrt (cos x))
0.4b
(cbrt (cos x))
0.4b
(cbrt (cos x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))
1.0ms
(cbrt (cos x))

series78.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
19.0ms
(cbrt (cos x))
17.0ms
(cbrt (cos x))
17.0ms
(cbrt (cos x))

simplify61.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05512477

prune65.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done022
Total85388

Merged error: 0b

Counts
88 → 3

regimes141.0ms

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
01120
11120

end0.0ms

sample2.4s

Algorithm
intervals
Results
887.0ms2980×body1280valid
459.0ms2472×body640valid
362.0ms8500×body80valid
159.0ms1233×body320valid
59.0ms634×body160valid

Profiling

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