Details

Time bar (total: 4.9s)

sample76.0ms

Algorithm
intervals
Results
26.0ms88×body1280valid
15.0ms80×body640valid
12.0ms296×body80valid
8.0ms42×body320valid
1.0ms17×body160valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize6.0ms

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*
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:
8.0ms
(* (cosh x) (/ (sin y) y))
3.0ms
(/ (sin y) y)

series100.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (cosh x) (/ (sin y) y))
25.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0263392
11063349
25001337

prune147.0ms

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 2 expressions with local error:

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

rewrite18.0ms

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))
12.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series140.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* (cosh x) (sin y))
72.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0372428
11754347
25001314

prune116.0ms

Filtered
65 candidates to 38 candidates (58.5%)
Pruning

6 alts after pruning (5 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
(/ y (sin y))
0.3b
(/ 1 (/ y (sin y)))

rewrite40.0ms

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:
24.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
25.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06161321
129861149
250011026

prune347.0ms

Filtered
187 candidates to 116 candidates (62.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
pow1
cbrt-unprod
associate-*l* add-log-exp
cosh-def frac-2neg clear-num associate-/r/
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 479
Calls
3 calls:
62.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
2.0ms
(/ 1 (sin y))
11.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
20.0ms
(/ 1 (sin y))
25.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify83.0ms

Algorithm
egg-herbie
Counts
488 → 488
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
018264718
150014085

prune845.0ms

Filtered
488 candidates to 259 candidates (53.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
892.0ms2915×body1280valid
458.0ms2442×body640valid
371.0ms8602×body80valid
152.0ms1187×body320valid
57.0ms646×body160valid