Details

Time bar (total: 3.9s)

sample89.0ms

Algorithm
intervals
Results
29.0ms100×body1280valid
16.0ms91×body640valid
13.0ms283×body80valid
5.0ms36×body320valid
1.0ms17×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
(/ (sinh y) y)
0.0b
(* (cos x) (/ (sinh y) y))

rewrite15.0ms

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
pow1
associate-*l* associate-/r* associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
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) y)
8.0ms
(* (cos x) (/ (sinh y) y))

series43.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
12.0ms
(/ (sinh y) y)
22.0ms
(* (cos x) (/ (sinh y) y))

simplify37.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05938621

prune84.0ms

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 div-inv add-log-exp
cbrt-div pow1/3 associate-/r* associate-/l*
cbrt-undiv sinh-def frac-2neg div-exp clear-num associate-/l/
Counts
4 → 94
Calls
4 calls:
4.0ms
(/ (sinh y) y)
3.0ms
(cbrt (/ (sinh y) y))
3.0ms
(cbrt (/ (sinh y) y))
3.0ms
(cbrt (/ (sinh y) y))

series138.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (sinh y) y)
41.0ms
(cbrt (/ (sinh y) y))
43.0ms
(cbrt (/ (sinh y) y))
41.0ms
(cbrt (/ (sinh y) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049491011
149491011

prune115.0ms

Filtered
90 candidates to 106 candidates (-17.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done000
Total1063109

Merged error: 0b

Counts
109 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
2.0ms
(cbrt (cos x))
2.0ms
(cbrt (cos x))
2.0ms
(cbrt (cos x))

series89.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (cos x)) (cbrt (cos x)))
20.0ms
(cbrt (cos x))
19.0ms
(cbrt (cos x))
22.0ms
(cbrt (cos x))

simplify51.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05512477

prune78.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×add-sqr-sqrt pow-prod-down
17×associate-*r*
16×add-cube-cbrt *-un-lft-identity
12×pow1/2
11×add-exp-log add-cbrt-cube
10×times-frac pow-prod-up
associate-*r/
associate-*l*
sqrt-div sqrt-prod pow-sqr
swap-sqr add-log-exp
prod-exp cbrt-unprod unswap-sqr
*-commutative
cbrt-undiv pow2 frac-times pow-plus sqrt-unprod div-exp associate-*l/ rem-square-sqrt div-inv
Counts
4 → 108
Calls
4 calls:
8.0ms
(* (cos x) (/ (sinh y) y))
4.0ms
(sqrt (* (cos x) (/ (sinh y) y)))
4.0ms
(sqrt (* (cos x) (/ (sinh y) y)))
13.0ms
(* (sqrt (* (cos x) (/ (sinh y) y))) (sqrt (* (cos x) (/ (sinh y) y))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (cos x) (/ (sinh y) y))
54.0ms
(sqrt (* (cos x) (/ (sinh y) y)))
52.0ms
(sqrt (* (cos x) (/ (sinh y) y)))
49.0ms
(* (sqrt (* (cos x) (/ (sinh y) y))) (sqrt (* (cos x) (/ (sinh y) y))))

simplify39.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
057871837

prune148.0ms

Filtered
78 candidates to 120 candidates (-53.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done022
Total1203123

Merged error: 0b

Counts
123 → 3

regimes193.0ms

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

sample2.5s

Algorithm
intervals
Results
864.0ms3053×body1280valid
466.0ms2567×body640valid
373.0ms8502×body80valid
161.0ms1261×body320valid
61.0ms644×body160valid

Profiling

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