Details

Time bar (total: 3.1s)

sample30.0ms

Algorithm
intervals
Results
8.0ms28×body1280valid
6.0ms163×body80valid
5.0ms33×body640valid
2.0ms19×body320valid
1.0ms13×body160valid

simplify7.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)

series86.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify35.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0218334
1998302
25001302

prune142.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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:
20.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
5.0ms
(/ 1 (/ y (sin y)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* x (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
24.0ms
(/ 1 (/ y (sin y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05761226
129061067
25001946

prune310.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
426×add-sqr-sqrt
397×*-un-lft-identity
391×add-cube-cbrt
174×associate-*r*
105×add-exp-log
66×div-exp
57×div-inv
35×add-cbrt-cube
17×cbrt-undiv rec-exp 1-exp prod-exp
16×associate-/r* associate-/l*
10×unswap-sqr
6×pow1
5×cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 483
Calls
3 calls:
58.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
2.0ms
(/ 1 (sin y))
13.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series95.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
20.0ms
(/ 1 (sin y))
25.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
492 → 492
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
017844470
150013847

prune812.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (sin y))
7.3b
(/ (* x (sin y)) y)

rewrite8.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 43
Calls
2 calls:
4.0ms
(* x (sin y))
4.0ms
(/ (* x (sin y)) y)

series91.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (sin y))
55.0ms
(/ (* x (sin y)) y)

simplify30.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0158203
1805172
25001172

prune85.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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
0104
1104

end0.0ms

sample818.0ms

Algorithm
intervals
Results
239.0ms970×body1280valid
174.0ms5099×body80valid
166.0ms1028×body640valid
66.0ms577×body320valid
25.0ms326×body160valid