Details

Time bar (total: 4.5s)

sample81.0ms

Algorithm
intervals
Results
30.0ms95×body1280valid
16.0ms77×body640valid
15.0ms288×body80valid
5.0ms33×body320valid
2.0ms19×body160valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

prune2.0ms

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)

series115.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (cosh x) (/ (sin y) y))
35.0ms
(/ (sin y) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0271408
11085363
25001351

prune168.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))
0.1b
(/ 1 (/ y (sin y)))

rewrite39.0ms

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×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u 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 → 184
Calls
3 calls:
22.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series136.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
23.0ms
(/ y (sin y))
33.0ms
(/ 1 (/ y (sin y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06281345
130201171
250021048

prune393.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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)

series108.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (cosh x) (/ (sin y) y))
28.0ms
(/ (sin y) y)

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0271408
11085363
25001351

prune160.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×cosh-def frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 64
Calls
2 calls:
2.0ms
(/ (cosh x) y)
9.0ms
(* (/ (cosh x) y) (sin y))

series144.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (cosh x) y)
77.0ms
(* (/ (cosh x) y) (sin y))

simplify35.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0292401
11003354
25001337

prune158.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.0s3048×body1280valid
519.0ms2451×body640valid
445.0ms8580×body80valid
182.0ms1183×body320valid
63.0ms611×body160valid