Details

Time bar (total: 4.4s)

sample28.0ms

Algorithm
intervals
Results
7.0ms26×body1280valid
6.0ms169×body80valid
5.0ms31×body640valid
2.0ms17×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

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (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 div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
4.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (sin y) y)
53.0ms
(* x (/ (sin y) y))

simplify35.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0213320
1988289
25002289

prune133.0ms

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))

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×associate-*l* cbrt-unprod 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 → 176
Calls
3 calls:
10.0ms
(/ 1 (/ y (sin y)))
16.0ms
(* x (/ 1 (/ y (sin y))))
4.0ms
(/ y (sin y))

series104.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 1 (/ y (sin y)))
56.0ms
(* x (/ 1 (/ y (sin y))))
23.0ms
(/ y (sin y))

simplify65.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05671204
128851046
25001925

prune293.0ms

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

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
988×times-frac
516×add-sqr-sqrt
511×add-cube-cbrt *-un-lft-identity
456×distribute-lft-neg-in distribute-rgt-neg-in
305×associate-*r*
82×neg-mul-1
45×div-inv
33×associate-/r*
13×associate-/l*
12×add-exp-log add-cbrt-cube
5×pow1
3×cbrt-undiv div-exp associate-*l* add-log-exp
2×frac-2neg distribute-frac-neg prod-exp clear-num associate-/r/ cbrt-unprod distribute-neg-frac unswap-sqr
1×neg-sub0 div-sub associate-*r/ pow-prod-down *-commutative distribute-rgt-neg-out
Counts
3 → 707
Calls
3 calls:
14.0ms
(/ (- 1) (- (/ y (sin y))))
72.0ms
(* x (/ (- 1) (- (/ y (sin y)))))
4.0ms
(/ y (sin y))

series115.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (- 1) (- (/ y (sin y))))
53.0ms
(* x (/ (- 1) (- (/ y (sin y)))))
32.0ms
(/ y (sin y))

simplify90.0ms

Algorithm
egg-herbie
Counts
716 → 716
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
020526686
150016110

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
331×times-frac
204×add-sqr-sqrt
189×*-un-lft-identity
187×add-cube-cbrt
96×associate-*r*
91×distribute-lft-neg-in distribute-rgt-neg-in
64×add-exp-log
38×add-cbrt-cube
33×associate-/r*
25×prod-exp
19×div-exp
18×div-inv
16×associate-*l*
13×cbrt-unprod
12×pow1
10×cbrt-undiv
7×neg-mul-1
6×associate-/l* unswap-sqr
5×rec-exp 1-exp associate-*r/
4×pow-prod-down add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ *-commutative distribute-neg-frac
1×pow-flip inv-pow
Counts
4 → 336
Calls
4 calls:
4.0ms
(/ 1 (sin y))
16.0ms
(* x (* (/ 1 y) (/ -1 (- (/ 1 (sin y))))))
8.0ms
(/ -1 (- (/ 1 (sin y))))
41.0ms
(* (/ 1 y) (/ -1 (- (/ 1 (sin y)))))

series119.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 1 (sin y))
63.0ms
(* x (* (/ 1 y) (/ -1 (- (/ 1 (sin y))))))
7.0ms
(/ -1 (- (/ 1 (sin y))))
30.0ms
(* (/ 1 y) (/ -1 (- (/ 1 (sin y)))))

simplify85.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
012792875
150012443

prune674.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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

sample838.0ms

Algorithm
intervals
Results
234.0ms948×body1280valid
190.0ms5184×body80valid
158.0ms1015×body640valid
65.0ms564×body320valid
28.0ms289×body160valid