Details

Time bar (total: 5.3s)

sample69.0ms

Algorithm
intervals
Results
24.0ms93×body1280valid
12.0ms75×body640valid
9.0ms270×body80valid
4.0ms39×body320valid
1.0ms18×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

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)

rewrite26.0ms

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:
16.0ms
(* (cos x) (/ (sinh y) y))
7.0ms
(/ (sinh y) y)
1.0ms
(sinh y)

series247.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(* (cos x) (/ (sinh y) y))
89.0ms
(/ (sinh y) y)
62.0ms
(sinh y)

simplify39.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0339443
11326398
25001396
done5001396

prune183.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cos x) (/ 1 (/ y (sinh y))))
0.0b
(sinh y)
0.0b
(/ y (sinh y))
0.0b
(/ 1 (/ y (sinh y)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
9×sinh-def
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 200
Calls
4 calls:
37.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
2.0ms
(sinh y)
5.0ms
(/ y (sinh y))
11.0ms
(/ 1 (/ y (sinh y)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
62.0ms
(sinh y)
94.0ms
(/ y (sinh y))
94.0ms
(/ 1 (/ y (sinh y)))

simplify76.0ms

Counts
212 → 212
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07181454
134641253
250011108
done50011108

prune381.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ y (sinh y))
0.0b
(expm1 (log1p (/ y (sinh y))))
0.0b
(/ 1 (expm1 (log1p (/ y (sinh y)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
10×add-exp-log
8×add-cbrt-cube
6×associate-/r* associate-/l*
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-exp
2×cbrt-undiv sinh-def frac-2neg clear-num div-inv
1×rec-exp expm1-log1p pow-flip 1-exp associate-/r/ inv-pow expm1-udef
Counts
4 → 84
Calls
4 calls:
1.0ms
(sinh y)
5.0ms
(/ y (sinh y))
0.0ms
(expm1 (log1p (/ y (sinh y))))
5.0ms
(/ 1 (expm1 (log1p (/ y (sinh y)))))

series701.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sinh y)
94.0ms
(/ y (sinh y))
408.0ms
(expm1 (log1p (/ y (sinh y))))
142.0ms
(/ 1 (expm1 (log1p (/ y (sinh y)))))

simplify72.0ms

Counts
96 → 96
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05981000
12844886
25002843
done5002843

prune269.0ms

Pruning

2 alts after pruning (1 fresh and 1 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)

rewrite25.0ms

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)
10.0ms
(* (cos x) (sinh y))
12.0ms
(/ (* (cos x) (sinh y)) y)

series235.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
81.0ms
(* (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

prune121.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes258.0ms

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
0137
1137
done137

end0.0ms

sample2.1s

Algorithm
intervals
Results
795.0ms2955×body1280valid
389.0ms2482×body640valid
305.0ms8426×body80valid
130.0ms1220×body320valid
53.0ms659×body160valid