Details

Time bar (total: 5.0s)

sample82.0ms

Algorithm
intervals
Results
32.0ms111×body1280valid
14.0ms75×body640valid
12.0ms279×body80valid
7.0ms54×body320valid
2.0ms25×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: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
7.0ms
(* (cosh x) (/ (sin y) y))
5.0ms
(/ (sin y) y)

series104.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (cosh x) (/ (sin y) y))
31.0ms
(/ (sin y) y)

simplify46.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0271408
11085363
25001351

prune170.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) (expm1 (log1p (/ (sin y) y))))
0.0b
(log1p (/ (sin y) y))
0.0b
(expm1 (log1p (/ (sin y) y)))
0.1b
(/ (sin y) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
5×expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* associate-/r* associate-/l*
1×cbrt-undiv log1p-udef expm1-log1p cosh-def frac-2neg log1p-expm1 div-exp pow-prod-down associate-*l/ prod-exp clear-num *-commutative cbrt-unprod div-inv expm1-udef unswap-sqr
Counts
4 → 72
Calls
4 calls:
4.0ms
(* (cosh x) (expm1 (log1p (/ (sin y) y))))
1.0ms
(log1p (/ (sin y) y))
1.0ms
(expm1 (log1p (/ (sin y) y)))
5.0ms
(/ (sin y) y)

series334.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cosh x) (expm1 (log1p (/ (sin y) y))))
45.0ms
(log1p (/ (sin y) y))
158.0ms
(expm1 (log1p (/ (sin y) y)))
26.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0285472
1989412
25002401

prune237.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) (expm1 (log1p (/ 1 (/ y (sin y))))))
0.0b
(expm1 (log1p (/ 1 (/ y (sin y)))))
0.1b
(/ 1 (/ y (sin y)))
0.1b
(/ y (sin y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
19×add-exp-log
16×associate-/r*
13×add-cbrt-cube
8×div-exp
7×pow1
6×div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp clear-num
1×expm1-log1p cosh-def pow-flip pow-prod-down associate-*l/ prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow expm1-udef unswap-sqr
Counts
4 → 139
Calls
4 calls:
4.0ms
(* (cosh x) (expm1 (log1p (/ 1 (/ y (sin y))))))
1.0ms
(expm1 (log1p (/ 1 (/ y (sin y)))))
7.0ms
(/ 1 (/ y (sin y)))
4.0ms
(/ y (sin y))

series315.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (cosh x) (expm1 (log1p (/ 1 (/ y (sin y))))))
161.0ms
(expm1 (log1p (/ 1 (/ y (sin y)))))
25.0ms
(/ 1 (/ y (sin y)))
27.0ms
(/ y (sin y))

simplify57.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04651013
12018872
25002795

prune345.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (* (sin y) (/ 1 y))))
0.0b
(* (cosh x) (expm1 (log1p (* (sin y) (/ 1 y)))))
0.0b
(log1p (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
16×associate-*r*
15×add-exp-log *-un-lft-identity
14×add-cube-cbrt
11×times-frac add-cbrt-cube
8×pow1
6×associate-*l*
5×expm1-log1p-u prod-exp
4×log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-unprod
2×div-exp pow-prod-down *-commutative
1×cbrt-undiv rec-exp log1p-udef expm1-log1p cosh-def 1-exp log1p-expm1 associate-*r/ associate-*l/ un-div-inv div-inv expm1-udef
Counts
4 → 81
Calls
4 calls:
1.0ms
(expm1 (log1p (* (sin y) (/ 1 y))))
4.0ms
(* (cosh x) (expm1 (log1p (* (sin y) (/ 1 y)))))
4.0ms
(log1p (* (sin y) (/ 1 y)))
9.0ms
(* (sin y) (/ 1 y))

series331.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(expm1 (log1p (* (sin y) (/ 1 y))))
111.0ms
(* (cosh x) (expm1 (log1p (* (sin y) (/ 1 y)))))
39.0ms
(log1p (* (sin y) (/ 1 y)))
26.0ms
(* (sin y) (/ 1 y))

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0378560
11609474
25002452

prune235.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes137.0ms

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
096
196

end0.0ms

sample2.3s

Algorithm
intervals
Results
926.0ms3030×body1280valid
465.0ms2474×body640valid
361.0ms8497×body80valid
152.0ms1201×body320valid
61.0ms602×body160valid