Details

Time bar (total: 4.6s)

sample70.0ms

Algorithm
intervals
Results
26.0ms98×body1280valid
12.0ms77×body640valid
10.0ms280×body80valid
4.0ms37×body320valid
2.0ms25×body160valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014
done50014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:
20.0ms
(* (cos x) (/ (sinh y) y))
7.0ms
(/ (sinh y) y)
2.0ms
(sinh y)

series256.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(* (cos x) (/ (sinh y) y))
96.0ms
(/ (sinh y) y)
58.0ms
(sinh y)

simplify44.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0339443
11326398
25001396
done5001396

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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)
11.0ms
(* (cos x) (sinh y))
13.0ms
(/ (* (cos x) (sinh y)) y)

series234.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
80.0ms
(* (cos x) (sinh y))
92.0ms
(/ (* (cos x) (sinh y)) y)

simplify35.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0279337
11212289
25001271
done5001271

prune132.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:
2.0ms
(sinh y)
25.0ms
(/ (cos x) (/ y (sinh y)))
10.0ms
(/ y (sinh y))

series267.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(sinh y)
98.0ms
(/ (cos x) (/ y (sinh y)))
103.0ms
(/ y (sinh y))

simplify58.0ms

Counts
125 → 125
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0492955
12086904
25001888
done5001888

prune302.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log
12×cbrt-div
9×add-cbrt-cube
7×associate-/r/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×frac-times associate-*l/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv sinh-def times-frac associate-*r/ div-exp prod-exp cbrt-unprod associate-/l*
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 62
Calls
4 calls:
1.0ms
(sinh y)
1.0ms
(sinh y)
1.0ms
(sinh y)
53.0ms
(/ (cos x) (* (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y)))) (cbrt (/ y (sinh y)))))

series332.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(sinh y)
63.0ms
(sinh y)
58.0ms
(sinh y)
141.0ms
(/ (cos x) (* (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y)))) (cbrt (/ y (sinh y)))))

simplify86.0ms

Counts
74 → 74
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0297651
1867548
23804492
35001458
done5001458

prune199.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064
164
done64

end0.0ms

sample2.2s

Algorithm
intervals
Results
811.0ms2989×body1280valid
417.0ms2451×body640valid
316.0ms8601×body80valid
140.0ms1234×body320valid
50.0ms572×body160valid