Details

Time bar (total: 4.7s)

sample73.0ms

Algorithm
intervals
Results
27.0ms88×body1280valid
15.0ms81×body640valid
11.0ms263×body80valid
6.0ms49×body320valid
1.0ms14×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

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)

rewrite18.0ms

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:
12.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series101.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (cosh x) (/ (sin y) y))
27.0ms
(/ (sin y) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0263392
11063349
25001337

prune153.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ 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:
16.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
4.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
29.0ms
(/ 1 (/ y (sin y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06161321
129861149
250011026

prune343.0ms

Pruning

8 alts after pruning (7 fresh and 1 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))))
0.5b
(* y (/ 1 (sin y)))

rewrite40.0ms

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))
10.0ms
(/ 1 (* y (/ 1 (sin y))))
8.0ms
(* y (/ 1 (sin y)))

series133.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
17.0ms
(/ 1 (sin y))
25.0ms
(/ 1 (* y (/ 1 (sin y))))
22.0ms
(* y (/ 1 (sin y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0531905
12400711
25001655

prune236.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cosh x) y)
0.1b
(/ 1 (sin y))
0.5b
(/ 1 (/ 1 (sin y)))
0.7b
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
149×add-sqr-sqrt
114×*-un-lft-identity
108×add-exp-log
104×add-cube-cbrt
58×div-exp
44×associate-*r*
34×add-cbrt-cube
26×prod-exp
22×rec-exp 1-exp
19×associate-/r*
14×cbrt-undiv unswap-sqr
13×associate-*l*
12×div-inv
9×pow1 associate-/l*
6×cbrt-unprod
5×pow-flip
4×add-log-exp
3×frac-2neg clear-num inv-pow
2×associate-/r/
1×frac-times cosh-def associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative associate-/l/ remove-double-div
Counts
4 → 260
Calls
4 calls:
4.0ms
(/ (cosh x) y)
4.0ms
(/ 1 (sin y))
7.0ms
(/ 1 (/ 1 (sin y)))
27.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

series153.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (cosh x) y)
12.0ms
(/ 1 (sin y))
7.0ms
(/ 1 (/ 1 (sin y)))
76.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))

simplify99.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09731836
145601465
250011285

prune380.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes130.0ms

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
0115
1115

end0.0ms

sample2.3s

Algorithm
intervals
Results
942.0ms2993×body1280valid
465.0ms2466×body640valid
365.0ms8538×body80valid
167.0ms1240×body320valid
55.0ms619×body160valid