Details

Time bar (total: 2.5s)

sample28.0ms

Algorithm
intervals
Results
6.0ms26×body1280valid
6.0ms169×body80valid
5.0ms31×body640valid
2.0ms17×body320valid
1.0ms13×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: 0.1b

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))

series85.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (sin y) y)
55.0ms
(* x (/ (sin y) y))

simplify34.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218334
1998302
25001302

prune141.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:
5.0ms
(/ 1 (/ y (sin y)))
21.0ms
(* x (/ 1 (/ y (sin y))))
4.0ms
(/ y (sin y))

series107.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ 1 (/ y (sin y)))
58.0ms
(* x (/ 1 (/ y (sin y))))
23.0ms
(/ y (sin y))

simplify67.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05761226
129061067
25001946

prune315.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(pow (/ y (sin y)) -1)
0.1b
(* x (pow (/ y (sin y)) -1))
0.1b
(/ y (sin y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
28×add-cube-cbrt unpow-prod-down *-un-lft-identity times-frac
17×associate-*r*
16×add-exp-log
7×add-cbrt-cube
4×pow1 pow-exp prod-exp unswap-sqr
3×expm1-log1p-u unpow-1 pow-unpow div-exp associate-*l* associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp sqr-pow
2×pow-to-exp
1×cbrt-undiv pow-pow frac-2neg associate-*r/ clear-num un-div-inv *-commutative cbrt-unprod
Counts
3 → 101
Calls
3 calls:
4.0ms
(pow (/ y (sin y)) -1)
16.0ms
(* x (pow (/ y (sin y)) -1))
2.0ms
(/ y (sin y))

series106.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(pow (/ y (sin y)) -1)
55.0ms
(* x (pow (/ y (sin y)) -1))
23.0ms
(/ y (sin y))

simplify49.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0350601
11506556
25001532

prune239.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (pow y -1) (sin y)))
0.2b
(* (pow y -1) (sin y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
11×add-sqr-sqrt
10×associate-*l* prod-exp
9×add-cbrt-cube
6×add-cube-cbrt *-un-lft-identity
4×pow1 unpow-prod-down associate-*r* cbrt-unprod
3×unswap-sqr
2×expm1-log1p-u pow-to-exp unpow-1 associate-*l/ pow-exp *-commutative log1p-expm1-u add-log-exp sqr-pow
1×associate-*r/ pow-prod-down
Counts
2 → 50
Calls
2 calls:
11.0ms
(* x (* (pow y -1) (sin y)))
7.0ms
(* (pow y -1) (sin y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (* (pow y -1) (sin y)))
27.0ms
(* (pow y -1) (sin y))

simplify41.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0205283
1852240
25001231

prune106.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes99.0ms

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
063
163

end0.0ms

sample819.0ms

Algorithm
intervals
Results
227.0ms948×body1280valid
189.0ms5184×body80valid
156.0ms1015×body640valid
71.0ms564×body320valid
22.0ms289×body160valid