Details

Time bar (total: 5.2s)

sample63.0ms

Algorithm
intervals
Results
22.0ms82×body1280valid
11.0ms290×body80valid
10.0ms60×body640valid
4.0ms36×body320valid
2.0ms23×body160valid

simplify80.0ms

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

localize11.0ms

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

series236.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* (cos x) (/ (sinh y) y))
87.0ms
(/ (sinh y) y)
61.0ms
(sinh y)

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0324427
11285383
25001381

prune170.0ms

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
62×add-sqr-sqrt
50×*-un-lft-identity
48×add-cube-cbrt
47×associate-*r*
24×add-exp-log
14×add-cbrt-cube
8×div-exp
7×prod-exp
5×pow1 sinh-def associate-/r/ div-inv unswap-sqr
4×cbrt-undiv
3×associate-*l* associate-/r* cbrt-unprod associate-/l* add-log-exp
2×rec-exp 1-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative
Counts
3 → 112
Calls
3 calls:
25.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
0.0ms
(sinh y)
2.0ms
(/ y (sinh y))

series231.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
57.0ms
(sinh y)
89.0ms
(/ y (sinh y))

simplify70.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0600812
12916713
25002656

prune278.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sinh y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
1×sinh-def cbrt-div
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt (sinh y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series687.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (sinh y))
170.0ms
(cbrt y)
186.0ms
(cbrt y)
177.0ms
(cbrt y)

simplify63.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0112192
1214178
2461170
31394170
45001170

prune199.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cbrt (pow (sinh y) 3)) y)
0.0b
(* (cos x) (/ (cbrt (pow (sinh y) 3)) y))
0.0b
(pow (sinh y) 3)
41.2b
(cbrt (pow (sinh y) 3))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
95×times-frac
87×add-sqr-sqrt
71×add-cube-cbrt *-un-lft-identity
49×associate-*r*
28×unpow-prod-down cube-prod
15×associate-/l*
12×add-exp-log
10×add-cbrt-cube sqr-pow
9×cube-mult unpow3
7×pow1
6×unswap-sqr
4×add-log-exp
3×cube-div sinh-def pow-unpow associate-*l* associate-/r*
2×cbrt-undiv cbrt-div div-exp prod-exp cbrt-unprod div-inv
1×pow-to-exp pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down pow-exp clear-num *-commutative rem-cbrt-cube associate-/l/ rem-cube-cbrt
Counts
4 → 194
Calls
4 calls:
7.0ms
(/ (cbrt (pow (sinh y) 3)) y)
23.0ms
(* (cos x) (/ (cbrt (pow (sinh y) 3)) y))
2.0ms
(pow (sinh y) 3)
2.0ms
(cbrt (pow (sinh y) 3))

series325.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (cbrt (pow (sinh y) 3)) y)
90.0ms
(* (cos x) (/ (cbrt (pow (sinh y) 3)) y))
86.0ms
(pow (sinh y) 3)
60.0ms
(cbrt (pow (sinh y) 3))

simplify79.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05991316
124351201
250011162

prune377.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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
0115
1115

end0.0ms

sample2.1s

Algorithm
intervals
Results
829.0ms3040×body1280valid
413.0ms2460×body640valid
316.0ms8446×body80valid
147.0ms1247×body320valid
51.0ms637×body160valid