Details

Time bar (total: 4.4s)

sample99.0ms

Algorithm
intervals
Results
33.0ms85×body1280valid
24.0ms78×body640valid
16.0ms260×body80valid
7.0ms40×body320valid
2.0ms13×body160valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
3984
41434
53104
68774
718244
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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 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)

series99.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0263392
11063349
25001337

prune153.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv cosh-def div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 41
Calls
2 calls:
4.0ms
(* (cosh x) (sin y))
4.0ms
(/ (* (cosh x) (sin y)) y)

series143.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (cosh x) (sin y))
73.0ms
(/ (* (cosh x) (sin y)) y)

simplify35.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0236277
1952232
25001216

prune103.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
31×add-exp-log
26×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
14×div-exp
9×associate-/r*
7×cbrt-undiv
6×pow1 cosh-def associate-*l/ associate-/r/ div-inv associate-/l*
5×prod-exp
3×rec-exp 1-exp associate-*r* associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
3 → 101
Calls
3 calls:
4.0ms
(* (cosh x) (sin y))
3.0ms
(/ y (* (cosh x) (sin y)))
8.0ms
(/ 1 (/ y (* (cosh x) (sin y))))

series288.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* (cosh x) (sin y))
137.0ms
(/ y (* (cosh x) (sin y)))
87.0ms
(/ 1 (/ y (* (cosh x) (sin y))))

simplify56.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0413804
11877686
25001609

prune177.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (sin y))
0.1b
(/ 1 (* (cosh x) (sin y)))
0.2b
(/ (/ 1 y) (/ 1 (* (cosh x) (sin y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
230×times-frac
100×add-sqr-sqrt
99×add-exp-log
98×add-cube-cbrt *-un-lft-identity
62×div-exp
31×add-cbrt-cube
25×div-inv
17×rec-exp 1-exp
16×cosh-def associate-*l/ prod-exp associate-/r/ associate-/l*
15×cbrt-undiv
9×associate-/r*
8×pow1
4×cbrt-unprod
3×associate-*r* associate-*l* add-log-exp
2×pow-flip frac-2neg pow-prod-down clear-num
1×*-commutative associate-/l/ inv-pow unswap-sqr
Counts
3 → 219
Calls
3 calls:
4.0ms
(* (cosh x) (sin y))
5.0ms
(/ 1 (* (cosh x) (sin y)))
13.0ms
(/ (/ 1 y) (/ 1 (* (cosh x) (sin y))))

series221.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* (cosh x) (sin y))
67.0ms
(/ 1 (* (cosh x) (sin y)))
83.0ms
(/ (/ 1 y) (/ 1 (* (cosh x) (sin y))))

simplify108.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
010352266
149441914
250011885

prune331.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.1b 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
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
946.0ms3076×body1280valid
432.0ms2353×body640valid
376.0ms8676×body80valid
161.0ms1275×body320valid
59.0ms671×body160valid