Details

Time bar (total: 7.5s)

sample77.0ms

Algorithm
intervals
Results
31.0ms97×body1280valid
13.0ms75×body640valid
11.0ms283×body80valid
4.0ms35×body320valid
2.0ms28×body160valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

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*
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)

series98.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (cosh x) (/ (sin y) y))
24.0ms
(/ (sin y) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0271408
11085363
25001351

prune172.0ms

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
(/ 1 (/ y (sin y)))
0.1b
(/ 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:
20.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
8.0ms
(/ 1 (/ y (sin y)))
2.0ms
(/ y (sin y))

series119.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
29.0ms
(/ 1 (/ y (sin y)))
21.0ms
(/ y (sin y))

simplify83.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06281345
130201171
250021048

prune367.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (sin y))
0.2b
(* (* (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
9×pow1 times-frac
7×cbrt-unprod
4×div-exp associate-*l* pow-prod-down associate-*l/
3×cosh-def
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp *-commutative log1p-expm1-u add-log-exp
1×frac-times associate-*r/ un-div-inv div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
4.0ms
(* (cosh x) (sin y))
12.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

series142.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* (cosh x) (sin y))
73.0ms
(* (* (cosh x) (sin y)) (/ 1 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0380448
11782365
25001332

prune134.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
0.2b
(cbrt (/ y (sin y)))
0.2b
(cbrt (/ y (sin y)))
0.2b
(cbrt (/ y (sin y)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
2636×times-frac
1404×cbrt-prod
1154×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
126×div-inv
53×associate-/l*
21×cbrt-div
18×associate-/r/
16×associate-/r*
13×add-exp-log
7×pow1
6×div-exp add-cbrt-cube
5×pow1/3
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 1012
Calls
4 calls:
38.0ms
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))
2.0ms
(cbrt (/ y (sin y)))

series600.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))))
141.0ms
(cbrt (/ y (sin y)))
132.0ms
(cbrt (/ y (sin y)))
148.0ms
(cbrt (/ y (sin y)))

simplify224.0ms

Algorithm
egg-herbie
Counts
1024 → 1024
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0361020979
1500120092

prune2.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes132.0ms

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
889.0ms2980×body1280valid
496.0ms2650×body640valid
350.0ms8526×body80valid
161.0ms1257×body320valid
53.0ms604×body160valid