Details

Time bar (total: 8.8s)

sample31.0ms

Algorithm
intervals
Results
10.0ms175×body80valid
7.0ms42×body640valid
4.0ms15×body1280valid
2.0ms15×body320valid
1.0msbody160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2116
3156
4166
done166

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (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*
add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 59
Calls
2 calls:
8.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)

series94.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* x (/ (sin y) y))
30.0ms
(/ (sin y) y)

simplify2.4s

Counts
65 → 65
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
098571
1212545
2771493
34882493
done5000493

prune151.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

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)))

rewrite41.0ms

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
cbrt-undiv prod-exp
pow1 associate-/l*
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod add-log-exp
frac-2neg clear-num associate-/r/
pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 176
Calls
3 calls:
21.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))

series118.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* x (/ 1 (/ y (sin y))))
26.0ms
(/ y (sin y))
29.0ms
(/ 1 (/ y (sin y)))

simplify794.0ms

Counts
185 → 185
Iterations

Useful iterations: 2 (234.0ms)

IterNodesCost
02382193
15681726
215311493
done50001493

prune341.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(/ x (/ 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*
add-exp-log add-cbrt-cube
div-inv associate-/l*
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/r/
Counts
2 → 97
Calls
2 calls:
2.0ms
(/ y (sin y))
5.0ms
(/ x (/ y (sin y)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ y (sin y))
63.0ms
(/ x (/ y (sin y)))

simplify820.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
01711246
13641170
213221108
done50001108

prune255.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

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)))

rewrite113.0ms

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
pow1
cbrt-unprod
associate-*l* add-log-exp
frac-2neg clear-num associate-/r/
pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 477
Calls
3 calls:
62.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
3.0ms
(/ 1 (sin y))
15.0ms
(/ (/ 1 y) (/ 1 (sin y)))

series113.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* x (/ (/ 1 y) (/ 1 (sin y))))
15.0ms
(/ 1 (sin y))
38.0ms
(/ (/ 1 y) (/ 1 (sin y)))

simplify1.6s

Counts
486 → 486
Iterations

Useful iterations: 2 (929.0ms)

IterNodesCost
06038246
117965655
236854793
done50014793

prune732.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample867.0ms

Algorithm
intervals
Results
249.0ms895×body1280valid
202.0ms5264×body80valid
166.0ms997×body640valid
66.0ms561×body320valid
24.0ms283×body160valid