Details

Time bar (total: 3.2s)

sample37.0ms

Algorithm
intervals
Results
11.0ms40×body1280valid
9.0ms158×body80valid
7.0ms39×body640valid
2.0ms14×body320valid
0.0ms5×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (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 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:
3.0ms
(/ (sin y) y)
8.0ms
(* x (/ (sin y) y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (sin y) y)
52.0ms
(* x (/ (sin y) y))

simplify33.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune139.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.2b
(/ y (sin y))
0.3b
(/ 1 (/ y (sin y)))

rewrite37.0ms

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×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 182
Calls
3 calls:
21.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* x (/ 1 (/ y (sin y))))
26.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05761226
129061067
25001946

prune321.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ y (sin y)))
0.2b
(/ y (sin y))

rewrite11.0ms

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
(/ x (/ y (sin y)))
2.0ms
(/ y (sin y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ x (/ y (sin y)))
22.0ms
(/ y (sin y))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0371723
11637687
25001686

prune251.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ y (sin y)) x)
0.2b
(/ y (sin y))
0.7b
(/ 1 (/ (/ y (sin y)) x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
237×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
49×associate-/r*
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube associate-/l*
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
3 → 303
Calls
3 calls:
6.0ms
(/ (/ y (sin y)) x)
2.0ms
(/ y (sin y))
13.0ms
(/ 1 (/ (/ y (sin y)) x))

series101.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (/ y (sin y)) x)
22.0ms
(/ y (sin y))
44.0ms
(/ 1 (/ (/ y (sin y)) x))

simplify51.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010782978
150012653

prune626.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes120.0ms

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
0103
1123
2123

end0.0ms

sample1.0s

Algorithm
intervals
Results
305.0ms5223×body80valid
255.0ms938×body1280valid
178.0ms964×body640valid
74.0ms556×body320valid
32.0ms319×body160valid