Details

Time bar (total: 4.8s)

sample77.0ms

Algorithm
intervals
Results
29.0ms95×body1280valid
16.0ms91×body640valid
12.0ms290×body80valid
4.0ms35×body320valid
1.0ms17×body160valid

simplify60.0ms

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: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (sin y) y)
0.2b
(* (cosh x) (/ (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:
3.0ms
(/ (sin y) y)
8.0ms
(* (cosh x) (/ (sin y) y))

series111.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (sin y) y)
79.0ms
(* (cosh x) (/ (sin y) y))

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0271408
11085363
25001351

prune177.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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:
2.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
21.0ms
(* (cosh x) (/ 1 (/ y (sin y))))

series131.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ y (sin y))
30.0ms
(/ 1 (/ y (sin y)))
78.0ms
(* (cosh x) (/ 1 (/ y (sin y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06281345
130201171
250011048

prune388.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac prod-exp
7×pow1
5×cbrt-unprod
3×associate-*r/ div-exp associate-*l* pow-prod-down associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u cosh-def 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r* associate-*l/ clear-num *-commutative div-inv
Counts
2 → 56
Calls
2 calls:
3.0ms
(/ (sin y) y)
12.0ms
(* (cosh x) (* 1 (/ (sin y) y)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (sin y) y)
77.0ms
(* (cosh x) (* 1 (/ (sin y) y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0292358
11145303
25001291

prune157.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sin y))
0.2b
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
0.2b
(/ (cosh x) y)
0.3b
(/ 1 (/ 1 (sin y)))

rewrite59.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 268
Calls
4 calls:
2.0ms
(/ 1 (sin y))
35.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
2.0ms
(/ (cosh x) y)
6.0ms
(/ 1 (/ 1 (sin y)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 1 (sin y))
76.0ms
(* (/ (cosh x) y) (/ 1 (/ 1 (sin y))))
62.0ms
(/ (cosh x) y)
8.0ms
(/ 1 (/ 1 (sin y)))

simplify100.0ms

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09881868
146041494
250021493

prune667.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes123.0ms

Accuracy

0% (0.2b 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

sample2.2s

Algorithm
intervals
Results
882.0ms2957×body1280valid
440.0ms2446×body640valid
367.0ms8574×body80valid
156.0ms1192×body320valid
56.0ms602×body160valid