Details

Time bar (total: 5.6s)

sample76.0ms

Algorithm
intervals
Results
32.0ms113×body1280valid
12.0ms66×body640valid
12.0ms277×body80valid
5.0ms37×body320valid
2.0ms24×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
54924
613904
748564
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

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)

rewrite17.0ms

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:
7.0ms
(/ (sinh y) y)
7.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series229.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (sinh y) y)
93.0ms
(* (cos x) (/ (sinh y) y))
56.0ms
(sinh y)

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0324427
11285383
25001381

prune147.0ms

Filtered
77 candidates to 61 candidates (79.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New74377
Fresh000
Picked011
Done000
Total74478

Merged error: 0b

Counts
78 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

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 y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series726.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (cbrt y) (cbrt y))
164.0ms
(cbrt y)
166.0ms
(cbrt y)
170.0ms
(cbrt y)

simplify104.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune207.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0b

Counts
89 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sinh y)) (cbrt (sinh y)))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
7×sinh-def cbrt-div
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 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 79
Calls
4 calls:
7.0ms
(* (cbrt (sinh y)) (cbrt (sinh y)))
2.0ms
(cbrt (sinh y))
2.0ms
(cbrt (sinh y))
2.0ms
(cbrt (sinh y))

series677.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt (sinh y)) (cbrt (sinh y)))
149.0ms
(cbrt (sinh y))
165.0ms
(cbrt (sinh y))
149.0ms
(cbrt (sinh y))

simplify74.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0200535
1590498
22394442
35001438

prune193.0ms

Filtered
91 candidates to 62 candidates (68.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done022
Total91495

Merged error: 0b

Counts
95 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cos x) (/ (* (sqrt (sinh y)) (sqrt (sinh y))) y))
0.0b
(sinh y)
0.0b
(sinh y)
0.3b
(* (sqrt (sinh y)) (sqrt (sinh y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
21×pow1
18×sqrt-prod
15×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×associate-*r*
9×associate-*l*
8×sqrt-pow1 pow1/2 swap-sqr
6×sinh-def unswap-sqr
5×prod-exp pow-prod-up cbrt-unprod
4×times-frac sqrt-div pow-prod-down add-log-exp
3×pow-sqr
2×cbrt-undiv associate-*r/ div-exp *-commutative
1×pow2 frac-times pow-plus sqrt-unprod associate-*l/ rem-square-sqrt div-inv
Counts
4 → 96
Calls
4 calls:
9.0ms
(* (cos x) (/ (* (sqrt (sinh y)) (sqrt (sinh y))) y))
1.0ms
(sinh y)
1.0ms
(sinh y)
7.0ms
(* (sqrt (sinh y)) (sqrt (sinh y)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (cos x) (/ (* (sqrt (sinh y)) (sqrt (sinh y))) y))
61.0ms
(sinh y)
55.0ms
(sinh y)
63.0ms
(* (sqrt (sinh y)) (sqrt (sinh y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0343576
11665481
25003460

prune177.0ms

Filtered
108 candidates to 67 candidates (62.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1080108
Fresh000
Picked011
Done033
Total1084112

Merged error: 0b

Counts
112 → 4

regimes95.0ms

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
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
897.0ms3026×body1280valid
471.0ms2535×body640valid
366.0ms8493×body80valid
158.0ms1255×body320valid
56.0ms625×body160valid

Profiling

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