Details

Time bar (total: 4.2s)

sample96.0ms

Algorithm
intervals
Results
31.0ms102×body1280valid
20.0ms105×body640valid
13.0ms219×body80valid
8.0ms62×body320valid
3.0ms30×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
55004
614274
746404
850014

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l*
2×prod-exp cbrt-unprod add-log-exp unswap-sqr
1×cbrt-undiv sinh-def associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
2 → 40
Calls
2 calls:
1.0ms
(sinh y)
6.0ms
(* (cos x) (/ (sinh y) y))

series28.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(sinh y)
20.0ms
(* (cos x) (/ (sinh y) y))

simplify36.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0272274
11126241
25002223

prune52.0ms

Filtered
46 candidates to 34 candidates (26.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New43346
Fresh000
Picked011
Done000
Total43447

Merged error: 0b

Counts
47 → 4

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))

rewrite8.0ms

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

series102.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
27.0ms
(cbrt (sinh y))
26.0ms
(cbrt (sinh y))
27.0ms
(cbrt (sinh y))

simplify41.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0136318
1294299
21020229
35001210

prune59.0ms

Filtered
59 candidates to 44 candidates (25.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done011
Total59463

Merged error: 0b

Counts
63 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
65×pow1
38×pow-prod-down
32×add-sqr-sqrt
29×sqrt-prod
20×sqrt-pow1 pow1/2
18×add-exp-log add-cbrt-cube
17×associate-*r*
16×add-cube-cbrt *-un-lft-identity
11×times-frac
9×prod-exp cbrt-unprod
8×pow-prod-up
7×associate-*l*
6×sqrt-unprod associate-*r/ pow-sqr unswap-sqr
5×sqrt-div
4×add-log-exp
2×rem-sqrt-square pow-plus *-commutative
1×pow2 frac-times swap-sqr associate-*l/ rem-square-sqrt div-inv
Counts
4 → 116
Calls
4 calls:
9.0ms
(* (sqrt (cos x)) (sqrt (/ (sinh y) y)))
1.0ms
(sqrt (cos x))
1.0ms
(sqrt (cos x))
14.0ms
(* (* (sqrt (cos x)) (sqrt (/ (sinh y) y))) (* (sqrt (cos x)) (sqrt (/ (sinh y) y))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (sqrt (cos x)) (sqrt (/ (sinh y) y)))
3.0ms
(sqrt (cos x))
3.0ms
(sqrt (cos x))
39.0ms
(* (* (sqrt (cos x)) (sqrt (/ (sinh y) y))) (* (sqrt (cos x)) (sqrt (/ (sinh y) y))))

simplify34.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09501171
150021016

prune126.0ms

Filtered
128 candidates to 77 candidates (39.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh011
Picked011
Done022
Total1284132

Merged error: 0b

Counts
132 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
36×times-frac
35×add-cube-cbrt *-un-lft-identity
25×associate-*r* sqrt-prod
20×add-exp-log add-cbrt-cube
11×pow1
7×associate-*l* prod-exp cbrt-unprod
6×associate-/l*
5×sinh-def
4×sqrt-div pow-prod-down associate-*l/ add-log-exp
3×cbrt-undiv div-exp associate-/r*
2×*-commutative div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ clear-num associate-/l/
Counts
4 → 115
Calls
4 calls:
1.0ms
(sinh y)
5.0ms
(* (sqrt (sinh y)) (cos x))
4.0ms
(/ (sqrt (sinh y)) y)
10.0ms
(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

series58.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sinh y)
19.0ms
(* (sqrt (sinh y)) (cos x))
15.0ms
(/ (sqrt (sinh y)) y)
16.0ms
(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

simplify66.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0515988
12532897
25001846

prune97.0ms

Filtered
127 candidates to 88 candidates (30.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done033
Total1274131

Merged error: 0b

Counts
131 → 4

regimes202.0ms

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

sample2.9s

Algorithm
intervals
Results
1.1s3781×body1280valid
592.0ms3150×body640valid
377.0ms8676×body80valid
210.0ms1582×body320valid
74.0ms820×body160valid

Profiling

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