Details

Time bar (total: 4.6s)

sample83.0ms

Algorithm
intervals
Results
29.0ms96×body1280valid
16.0ms83×body640valid
16.0ms310×body80valid
6.0ms42×body320valid
2.0ms18×body160valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
718244
850014

prune2.0ms

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 cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 61
Calls
2 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series101.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (/ (sin y) y))
25.0ms
(/ (sin y) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0263392
11063349
25001337

prune154.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
103×add-sqr-sqrt
91×*-un-lft-identity
89×add-cube-cbrt
44×associate-*r*
35×add-exp-log
19×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×cbrt-undiv prod-exp
6×pow1 associate-/l*
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 178
Calls
3 calls:
14.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
4.0ms
(/ y (sin y))

series121.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
24.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ y (sin y))

simplify76.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06161321
129861149
250011026

prune385.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×associate-*l* add-cbrt-cube
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
4×div-exp associate-*r* pow-prod-down associate-*l/
3×unswap-sqr
2×cbrt-undiv rec-exp cosh-def 1-exp *-commutative add-log-exp
1×frac-times associate-*r/ div-inv
Counts
2 → 60
Calls
2 calls:
7.0ms
(* (cosh x) (* (/ 1 y) (sin y)))
7.0ms
(* (/ 1 y) (sin y))

series111.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (cosh x) (* (/ 1 y) (sin y)))
29.0ms
(* (/ 1 y) (sin y))

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0317388
11277307
25001282

prune146.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
0.1b
(/ 1 (sin y))
0.1b
(/ 1 (* y (/ 1 (sin y))))
0.2b
(* y (/ 1 (sin y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
44×prod-exp
36×div-exp
34×add-sqr-sqrt add-cbrt-cube
26×*-un-lft-identity times-frac
25×add-cube-cbrt
22×associate-*r*
18×rec-exp 1-exp
12×pow1
10×cbrt-undiv cbrt-unprod
6×associate-*l* associate-/l*
4×associate-*r/ associate-/r* associate-/r/ un-div-inv div-inv add-log-exp unswap-sqr
3×pow-flip pow-prod-down
2×cosh-def frac-2neg clear-num *-commutative inv-pow
1×frac-times associate-*l/
Counts
4 → 153
Calls
4 calls:
11.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
4.0ms
(/ 1 (sin y))
7.0ms
(/ 1 (* y (/ 1 (sin y))))
7.0ms
(* y (/ 1 (sin y)))

series140.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
13.0ms
(/ 1 (sin y))
30.0ms
(/ 1 (* y (/ 1 (sin y))))
23.0ms
(* y (/ 1 (sin y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0531905
12400711
25001655

prune242.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes150.0ms

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
074
174

end0.0ms

sample2.6s

Algorithm
intervals
Results
948.0ms3022×body1280valid
578.0ms8489×body80valid
489.0ms2517×body640valid
173.0ms1268×body320valid
59.0ms635×body160valid