Details

Time bar (total: 4.3s)

sample80.0ms

Algorithm
intervals
Results
28.0ms96×body1280valid
15.0ms83×body640valid
15.0ms310×body80valid
5.0ms42×body320valid
2.0ms18×body160valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
718244
850014

prune2.0ms

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)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv cosh-def div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
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)

series105.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (cosh x) (/ (sin y) y))
27.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0263392
11063349
25001337

prune150.0ms

Filtered
67 candidates to 50 candidates (74.6%)
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
cbrt-undiv prod-exp
pow1 associate-/l*
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod add-log-exp
cosh-def frac-2neg clear-num associate-/r/
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 178
Calls
3 calls:
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
4.0ms
(/ y (sin y))

series128.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
26.0ms
(/ 1 (/ y (sin y)))
23.0ms
(/ y (sin y))

simplify77.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06161321
129861149
250011026

prune370.0ms

Filtered
187 candidates to 115 candidates (61.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×associate-*r* add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt *-un-lft-identity
pow1 times-frac
cbrt-unprod
div-exp associate-*l* pow-prod-down associate-*l/
cosh-def
cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
frac-times associate-*r/ un-div-inv div-inv unswap-sqr
Counts
2 → 59
Calls
2 calls:
4.0ms
(* (cosh x) (sin y))
8.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series150.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (cosh x) (sin y))
78.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0372428
11754347
25001314

prune124.0ms

Filtered
65 candidates to 38 candidates (58.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize9.0ms

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)))

rewrite35.0ms

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
associate-*l* associate-/l*
associate-*r/ associate-/r* associate-/r/ un-div-inv div-inv add-log-exp unswap-sqr
pow-flip pow-prod-down
cosh-def frac-2neg clear-num *-commutative inv-pow
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))))
8.0ms
(* y (/ 1 (sin y)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
13.0ms
(/ 1 (sin y))
26.0ms
(/ 1 (* y (/ 1 (sin y))))
29.0ms
(* y (/ 1 (sin y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0531905
12400711
25001655

prune232.0ms

Filtered
165 candidates to 81 candidates (49.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes137.0ms

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

sample2.3s

Algorithm
intervals
Results
912.0ms3022×body1280valid
464.0ms2517×body640valid
369.0ms8489×body80valid
159.0ms1268×body320valid
57.0ms635×body160valid