Details

Time bar (total: 2.6s)

sample29.0ms

Algorithm
intervals
Results
9.0ms33×body1280valid
6.0ms168×body80valid
4.0ms26×body640valid
2.0ms19×body320valid
1.0ms10×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2163
3173
4173

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
(* 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 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:
6.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)

simplify31.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0213320
1988289
25002289

prune121.0ms

Filtered
65 candidates to 48 candidates (73.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:
17.0ms
(* x (/ 1 (/ y (sin y))))
3.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* x (/ 1 (/ y (sin y))))
21.0ms
(/ y (sin y))
25.0ms
(/ 1 (/ y (sin y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05671204
128851046
25001925

prune295.0ms

Filtered
185 candidates to 114 candidates (61.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×associate-*l* add-cbrt-cube
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
4×div-exp associate-*r* pow-prod-down
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp associate-*l/ *-commutative add-log-exp
1×associate-*r/ div-inv
Counts
2 → 58
Calls
2 calls:
7.0ms
(* x (* (/ 1 y) (sin y)))
7.0ms
(* (/ 1 y) (sin y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (* (/ 1 y) (sin y)))
29.0ms
(* (/ 1 y) (sin y))

simplify34.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0268325
11102258
25002245

prune115.0ms

Filtered
64 candidates to 43 candidates (67.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series457.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
98.0ms
(cbrt (sin y))
93.0ms
(cbrt (sin y))
93.0ms
(cbrt (sin y))

simplify50.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
087222
1186204
2472196
31587196
45002196

prune151.0ms

Filtered
56 candidates to 45 candidates (80.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.2b 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

sample803.0ms

Algorithm
intervals
Results
216.0ms899×body1280valid
177.0ms5199×body80valid
166.0ms1031×body640valid
70.0ms562×body320valid
23.0ms309×body160valid