Details

Time bar (total: 3.3s)

sample67.0ms

Algorithm
intervals
Results
19.0ms63×body1280valid
13.0ms303×body80valid
10.0ms51×body640valid
5.0ms33×body320valid
3.0ms27×body160valid

simplify76.0ms

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: 14.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.8b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

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 associate-*r/ div-exp 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)
5.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series44.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sinh y)
17.0ms
(* (sin x) (sinh y))
20.0ms
(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0280320
11233272
25001255

prune77.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New51758
Fresh000
Picked101
Done000
Total52759

Merged error: 0b

Counts
59 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
0.4b
(* (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
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) x)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) x))

series40.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (sinh y) x)
7.0ms
(sinh y)
19.0ms
(* (sin x) (/ (sinh y) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0328433
11261387
25001385

prune79.0ms

Filtered
57 candidates to 77 candidates (-35.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh066
Picked011
Done000
Total77784

Merged error: 0b

Counts
84 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite10.0ms

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 x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
24.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune75.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done011
Total85792

Merged error: 0b

Counts
92 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
1.0b
(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

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
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×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)))

series53.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
22.0ms
(/ x (sinh y))
23.0ms
(/ (sin x) (/ x (sinh y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0475938
11984886
25001865

prune95.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1181119
Fresh134
Picked101
Done112
Total1215126

Merged error: 0b

Counts
126 → 5

regimes135.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.1s

Algorithm
intervals
Results
580.0ms1839×body1280valid
476.0ms10388×body80valid
370.0ms1834×body640valid
158.0ms1093×body320valid
64.0ms619×body160valid

Profiling

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