Details

Time bar (total: 4.9s)

analyze961.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.103713%

Guaranteed chance to sample good point: 65.557966%

sample60.0ms

Algorithm
intervals
Results
16.0ms54×body1280invalid
9.0ms196×body80valid
7.0ms34×body640invalid
4.0ms22×body640valid
4.0ms11×body1280valid
2.0ms17×body320valid
2.0ms12×body320invalid
1.0ms10×body160valid
1.0ms11×body160invalid
1.0ms15×body80invalid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
850014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
12.8b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
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
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series48.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (sin x) (sinh y))
20.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune77.0ms

Filtered
43 candidates to 58 candidates (-34.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New51758
Fresh000
Picked011
Done000
Total51859

Merged error: 0b

Counts
59 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series44.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
14.0ms
(/ (sinh y) x)
22.0ms
(* (sin x) (/ (sinh y) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0328433
11261387
25001385

prune76.0ms

Filtered
56 candidates to 77 candidates (-37.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh066
Picked011
Done011
Total77885

Merged error: 0b

Counts
85 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

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:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series94.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt x) (cbrt x))
22.0ms
(cbrt x)
22.0ms
(cbrt x)
25.0ms
(cbrt x)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune76.0ms

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

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893

Merged error: 0b

Counts
93 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
1.2b
(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 add-log-exp
frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
1.0ms
(sinh y)
3.0ms
(/ x (sinh y))
6.0ms
(/ (sin x) (/ x (sinh y)))

series54.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
25.0ms
(/ x (sinh y))
20.0ms
(/ (sin x) (/ x (sinh y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0475938
11984886
25001865

prune100.0ms

Filtered
99 candidates to 119 candidates (-20.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1172119
Fresh314
Picked011
Done123
Total1216127

Merged error: 0b

Counts
127 → 6

regimes189.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

analyze961.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.103713%

Guaranteed chance to sample good point: 65.557966%

sample1.8s

Algorithm
intervals
Results
458.0ms1546×body1280invalid
276.0ms6128×body80valid
239.0ms1229×body640invalid
150.0ms720×body640valid
129.0ms362×body1280valid
87.0ms576×body320invalid
75.0ms498×body320valid
31.0ms292×body160valid
30.0ms461×body80invalid
28.0ms295×body160invalid

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