Details

Time bar (total: 5.2s)

sample82.0ms

Algorithm
intervals
Results
34.0ms111×body1280valid
13.0ms75×body640valid
12.0ms279×body80valid
7.0ms54×body320valid
2.0ms25×body160valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u cosh-def div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 65
Calls
2 calls:
8.0ms
(* (cosh x) (/ (sin y) y))
3.0ms
(/ (sin y) y)

series104.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (cosh x) (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0271408
11085363
25001351

prune171.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.0b
(expm1 (log1p (* (cosh x) (/ (sin y) y))))
0.0b
(log1p (* (cosh x) (/ (sin y) y)))
0.1b
(/ (sin y) y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log add-cbrt-cube
6×pow1
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times log1p-udef expm1-log1p frac-2neg log1p-expm1 associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative expm1-udef
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cosh x) (/ (sin y) y))
0.0ms
(expm1 (log1p (* (cosh x) (/ (sin y) y))))
0.0ms
(log1p (* (cosh x) (/ (sin y) y)))
5.0ms
(/ (sin y) y)

series378.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (cosh x) (/ (sin y) y))
125.0ms
(expm1 (log1p (* (cosh x) (/ (sin y) y))))
150.0ms
(log1p (* (cosh x) (/ (sin y) y)))
25.0ms
(/ (sin y) y)

simplify69.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0577735
12681664
25001664

prune288.0ms

Filtered
99 candidates to 77 candidates (77.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (* (cosh x) (/ 1 (/ y (sin y))))))
0.0b
(log1p (* (cosh x) (/ 1 (/ y (sin y)))))
0.1b
(/ 1 (/ y (sin y)))
0.1b
(/ y (sin y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1 expm1-log1p-u
4×cbrt-undiv log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×log1p-udef expm1-log1p pow-flip log1p-expm1 associate-/r/ inv-pow expm1-udef
Counts
4 → 129
Calls
4 calls:
0.0ms
(expm1 (log1p (* (cosh x) (/ 1 (/ y (sin y))))))
0.0ms
(log1p (* (cosh x) (/ 1 (/ y (sin y)))))
9.0ms
(/ 1 (/ y (sin y)))
2.0ms
(/ y (sin y))

series324.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(expm1 (log1p (* (cosh x) (/ 1 (/ y (sin y))))))
151.0ms
(log1p (* (cosh x) (/ 1 (/ y (sin y)))))
25.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ y (sin y))

simplify88.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07121103
13353979
25001900

prune333.0ms

Filtered
141 candidates to 87 candidates (61.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) (sin y))
0.0b
(log1p (* (* (cosh x) (sin y)) (/ 1 y)))
0.0b
(expm1 (log1p (* (* (cosh x) (sin y)) (/ 1 y))))
0.3b
(* (* (cosh x) (sin y)) (/ 1 y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
18×add-cbrt-cube
16×associate-*r*
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity prod-exp
11×pow1
9×times-frac
7×cbrt-unprod
5×expm1-log1p-u
4×div-exp associate-*l* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×cosh-def
2×cbrt-undiv rec-exp 1-exp *-commutative
1×frac-times log1p-udef expm1-log1p log1p-expm1 associate-*r/ un-div-inv div-inv expm1-udef unswap-sqr
Counts
4 → 85
Calls
4 calls:
4.0ms
(* (cosh x) (sin y))
0.0ms
(log1p (* (* (cosh x) (sin y)) (/ 1 y)))
0.0ms
(expm1 (log1p (* (* (cosh x) (sin y)) (/ 1 y))))
17.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series429.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (cosh x) (sin y))
155.0ms
(log1p (* (* (cosh x) (sin y)) (/ 1 y)))
127.0ms
(expm1 (log1p (* (* (cosh x) (sin y)) (/ 1 y))))
78.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify94.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0681792
13341686
25001671

prune246.0ms

Filtered
97 candidates to 67 candidates (69.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample2.2s

Algorithm
intervals
Results
894.0ms3030×body1280valid
459.0ms2474×body640valid
358.0ms8497×body80valid
156.0ms1201×body320valid
51.0ms602×body160valid