Details

Time bar (total: 4.9s)

sample74.0ms

Algorithm
intervals
Results
30.0ms102×body1280valid
13.0ms74×body640valid
10.0ms250×body80valid
5.0ms38×body320valid
2.0ms21×body160valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
718244
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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

series101.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (cosh x) (/ (sin y) y))
29.0ms
(/ (sin y) y)

simplify35.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0263392
11063349
25001337

prune166.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×add-exp-log add-cbrt-cube
11×pow1
10×cosh-def sqrt-div
9×times-frac sqrt-prod
6×associate-*l*
5×frac-times associate-*r/ prod-exp cbrt-unprod
4×add-log-exp
3×pow-prod-down associate-*l/ associate-/r* associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp
1×frac-2neg associate-*r* clear-num *-commutative div-inv
Counts
4 → 85
Calls
4 calls:
1.0ms
(sqrt (cosh x))
1.0ms
(sqrt (cosh x))
20.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
3.0ms
(/ (sin y) y)

series231.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(sqrt (cosh x))
66.0ms
(sqrt (cosh x))
74.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
26.0ms
(/ (sin y) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0327592
11177496
25001482

prune252.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-div cosh-def pow1/3 associate-/r* associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt (cosh x))
1.0ms
(cbrt (cosh x))
1.0ms
(cbrt (cosh x))
3.0ms
(/ (sin y) y)

series471.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (cosh x))
145.0ms
(cbrt (cosh x))
145.0ms
(cbrt (cosh x))
28.0ms
(/ (sin y) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0181359
1508334
21922304
35002301

prune276.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 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×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:
23.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
5.0ms
(/ 1 (/ y (sin y)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
23.0ms
(/ y (sin y))
26.0ms
(/ 1 (/ y (sin y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06161321
129861149
250011026

prune365.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108
1108

end0.0ms

sample2.3s

Algorithm
intervals
Results
922.0ms3007×body1280valid
460.0ms2432×body640valid
358.0ms8478×body80valid
158.0ms1255×body320valid
56.0ms619×body160valid