Details

Time bar (total: 4.7s)

sample79.0ms

Algorithm
intervals
Results
27.0ms79×body1280valid
16.0ms77×body640valid
15.0ms302×body80valid
5.0ms34×body320valid
2.0ms23×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
54924
613904
748564
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:
1.0ms
(sinh y)
8.0ms
(* (cos x) (/ (sinh y) y))
3.0ms
(/ (sinh y) y)

series234.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
88.0ms
(* (cos x) (/ (sinh y) y))
85.0ms
(/ (sinh y) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0324427
11285383
25001381

prune162.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)

rewrite9.0ms

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:
0.0ms
(sinh y)
4.0ms
(* (cos x) (sinh y))
4.0ms
(/ (* (cos x) (sinh y)) y)

series227.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
76.0ms
(* (cos x) (sinh y))
89.0ms
(/ (* (cos x) (sinh y)) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0267317
11179271
25002253

prune110.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:
0.0ms
(sinh y)
6.0ms
(/ (cos x) (/ y (sinh y)))
2.0ms
(/ y (sinh y))

series237.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
86.0ms
(/ (cos x) (/ y (sinh y)))
88.0ms
(/ y (sinh y))

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0478937
12046888
25001872

prune269.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
0.1b
(* 1/120 (pow y 4))
0.2b
(* 1/6 (pow y 2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×associate-*r*
15×add-exp-log
11×add-cube-cbrt *-un-lft-identity
9×associate-*l* add-cbrt-cube
8×unpow-prod-down unswap-sqr
7×prod-exp
5×pow1
4×sqr-pow
3×*-commutative cbrt-unprod add-log-exp
2×pow-to-exp associate-*r/ pow-exp unpow2
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down flip-+
Counts
3 → 74
Calls
3 calls:
37.0ms
(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
5.0ms
(* 1/120 (pow y 4))
5.0ms
(* 1/6 (pow y 2))

series179.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
36.0ms
(* 1/120 (pow y 4))
24.0ms
(* 1/6 (pow y 2))

simplify53.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0360463
11702413
25002413

prune186.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

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

sample2.6s

Algorithm
intervals
Results
1.0s3034×body1280valid
545.0ms2470×body640valid
430.0ms8548×body80valid
191.0ms1200×body320valid
64.0ms600×body160valid