Details

Time bar (total: 5.3s)

sample120.0ms

Algorithm
intervals
Results
50.0ms102×body1280valid
24.0ms87×body640valid
16.0ms256×body80valid
7.0ms32×body320valid
2.0ms14×body160valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1304
2664
31374
42624
54924
613904
748564
850014

prune3.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:
11.0ms
(/ (sinh y) y)
2.0ms
(sinh y)
12.0ms
(* (cos x) (/ (sinh y) y))

series233.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ (sinh y) y)
56.0ms
(sinh y)
94.0ms
(* (cos x) (/ (sinh y) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0324427
11285383
25001381

prune135.0ms

Filtered
77 candidates to 61 candidates (79.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New74377
Fresh000
Picked101
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
39×sqrt-prod
38×times-frac
34×add-cube-cbrt *-un-lft-identity
16×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
6×sqrt-div
4×rem-sqrt-square div-inv add-log-exp
3×associate-*r/ pow-prod-down prod-exp associate-/r* cbrt-unprod associate-/l*
2×sqrt-pow1 pow1/2
1×cbrt-undiv frac-times sinh-def frac-2neg div-exp associate-*l* associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 112
Calls
4 calls:
4.0ms
(/ (sinh y) y)
3.0ms
(sqrt (/ (sinh y) y))
3.0ms
(sqrt (/ (sinh y) y))
12.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series345.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (sinh y) y)
76.0ms
(sqrt (/ (sinh y) y))
76.0ms
(sqrt (/ (sinh y) y))
107.0ms
(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08081233
135241074
250021066

prune329.0ms

Filtered
124 candidates to 101 candidates (81.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh022
Picked011
Done000
Total1243127

Merged error: 0b

Counts
127 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(* (cos x) (/ (sinh y) y))
0.0b
(exp (log (* (cos x) (/ (sinh y) y))))
3.3b
(log (* (cos x) (/ (sinh y) y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×times-frac
17×add-exp-log
13×associate-*r*
12×pow1
11×add-cbrt-cube
5×exp-prod
4×prod-exp log-pow add-log-exp
3×associate-*r/ div-exp rem-log-exp associate-*l* pow-prod-down associate-/r* associate-/l*
2×cbrt-undiv log-div log-prod cbrt-unprod div-inv unswap-sqr
1×sinh-def frac-2neg exp-diff exp-sum clear-num *-commutative rem-exp-log associate-/l/
Counts
4 → 89
Calls
4 calls:
4.0ms
(/ (sinh y) y)
7.0ms
(* (cos x) (/ (sinh y) y))
5.0ms
(exp (log (* (cos x) (/ (sinh y) y))))
4.0ms
(log (* (cos x) (/ (sinh y) y)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (sinh y) y)
87.0ms
(* (cos x) (/ (sinh y) y))
87.0ms
(exp (log (* (cos x) (/ (sinh y) y))))
258.0ms
(log (* (cos x) (/ (sinh y) y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0349608
11422539
25002533

prune206.0ms

Filtered
101 candidates to 76 candidates (75.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done011
Total1013104

Merged error: 0b

Counts
104 → 3

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

rewrite26.0ms

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)
11.0ms
(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

series373.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sinh y)
105.0ms
(* (sqrt (sinh y)) (cos x))
98.0ms
(/ (sqrt (sinh y)) y)
76.0ms
(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

simplify74.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0492980
12394884
25001833

prune229.0ms

Filtered
127 candidates to 88 candidates (69.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done022
Total1273130

Merged error: 0b

Counts
130 → 3

regimes84.0ms

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
0109
1109

end0.0ms

sample2.2s

Algorithm
intervals
Results
899.0ms3068×body1280valid
436.0ms2466×body640valid
348.0ms8582×body80valid
168.0ms1255×body320valid
52.0ms608×body160valid