Details

Time bar (total: 4.8s)

sample72.0ms

Algorithm
intervals
Results
28.0ms97×body1280valid
14.0ms65×body640valid
10.0ms252×body80valid
5.0ms41×body320valid
2.0ms26×body160valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
7.0ms
(* (cos x) (/ (sinh y) y))
4.0ms
(/ (sinh y) y)
1.0ms
(sinh y)

series227.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* (cos x) (/ (sinh y) y))
82.0ms
(/ (sinh y) y)
59.0ms
(sinh y)

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0339443
11326398
25001396

prune158.0ms

Filtered
83 candidates to 67 candidates (80.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New79483
Fresh000
Picked101
Done000
Total80484

Merged error: 0b

Counts
84 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
77×cbrt-prod
68×add-sqr-sqrt
51×times-frac
44×add-cube-cbrt *-un-lft-identity
32×associate-*r*
20×pow1
17×associate-*l*
16×cbrt-div swap-sqr
15×add-exp-log
10×associate-*r/
9×unswap-sqr
8×pow-prod-down add-cbrt-cube
7×prod-exp cbrt-unprod
6×frac-times pow1/3 associate-*l/
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×sinh-def pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 143
Calls
4 calls:
1.0ms
(sinh y)
1.0ms
(sinh y)
16.0ms
(* (* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
13.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series509.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sinh y)
92.0ms
(sinh y)
128.0ms
(* (* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
228.0ms
(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05801664
123381500
250021399

prune357.0ms

Filtered
155 candidates to 118 candidates (76.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1550155
Fresh033
Picked011
Done000
Total1554159

Merged error: 0b

Counts
159 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

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×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u 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 → 55
Calls
3 calls:
1.0ms
(sinh y)
5.0ms
(/ (* (cos x) (sinh y)) y)
4.0ms
(* (cos x) (sinh y))

series213.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(sinh y)
84.0ms
(/ (* (cos x) (sinh y)) y)
74.0ms
(* (cos x) (sinh y))

simplify37.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0279337
11212289
25001271

prune106.0ms

Filtered
64 candidates to 49 candidates (76.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh112
Picked011
Done011
Total64468

Merged error: 0b

Counts
68 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (cos x) (/ y (sinh y)))
0.0b
(sinh y)
0.0b
(/ y (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
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
6.0ms
(/ (cos x) (/ y (sinh y)))
1.0ms
(sinh y)
3.0ms
(/ y (sinh y))

series269.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ (cos x) (/ y (sinh y)))
62.0ms
(sinh y)
124.0ms
(/ y (sinh y))

simplify56.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0492955
12086904
25001888

prune224.0ms

Filtered
125 candidates to 105 candidates (84.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done022
Total1254129

Merged error: 0b

Counts
129 → 4

regimes66.0ms

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
064

end0.0ms

sample2.2s

Algorithm
intervals
Results
877.0ms3080×body1280valid
435.0ms2450×body640valid
355.0ms8629×body80valid
165.0ms1295×body320valid
56.0ms640×body160valid