Details

Time bar (total: 3.1s)

sample32.0ms

Algorithm
intervals
Results
9.0ms36×body1280valid
6.0ms163×body80valid
5.0ms32×body640valid
2.0ms18×body320valid
1.0ms7×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
1123
2163
3173
4173

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:

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

rewrite31.0ms

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 div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 63
Calls
2 calls:
20.0ms
(* x (/ (sin y) y))
9.0ms
(/ (sin y) y)

series90.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* x (/ (sin y) y))
29.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0218334
1998302
25001302

prune154.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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 frac-2neg log1p-expm1 div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv expm1-udef unswap-sqr
Counts
4 → 71
Calls
4 calls:
0.0ms
(log1p (/ (sin y) y))
0.0ms
(expm1 (log1p (/ (sin y) y)))
7.0ms
(* x (expm1 (log1p (/ (sin y) y))))
11.0ms
(/ (sin y) y)

series324.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(log1p (/ (sin y) y))
167.0ms
(expm1 (log1p (/ (sin y) y)))
90.0ms
(* x (expm1 (log1p (/ (sin y) y))))
27.0ms
(/ (sin y) y)

simplify151.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (145.0ms)

IterNodesCost
0232418
1864368
24325365
35002363

prune226.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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 pow-flip pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow expm1-udef unswap-sqr
Counts
4 → 138
Calls
4 calls:
0.0ms
(expm1 (log1p (/ 1 (/ y (sin y)))))
11.0ms
(/ 1 (/ y (sin y)))
6.0ms
(* x (expm1 (log1p (/ 1 (/ y (sin y))))))
6.0ms
(/ y (sin y))

series300.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(expm1 (log1p (/ 1 (/ y (sin y)))))
26.0ms
(/ 1 (/ y (sin y)))
84.0ms
(* x (expm1 (log1p (/ 1 (/ y (sin y))))))
22.0ms
(/ y (sin y))

simplify55.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0411958
11880823
25002746

prune321.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(/ x (/ y (sin y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 101
Calls
2 calls:
5.0ms
(/ y (sin y))
13.0ms
(/ x (/ y (sin y)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ y (sin y))
55.0ms
(/ x (/ y (sin y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0371723
11637687
25002686

prune251.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample850.0ms

Algorithm
intervals
Results
226.0ms907×body1280valid
191.0ms5229×body80valid
146.0ms969×body640valid
67.0ms581×body320valid
23.0ms314×body160valid