Details

Time bar (total: 12.4s)

sample78.0ms

Algorithm
intervals
Results
22.0ms311×body80valid
18.0ms53×body1280valid
13.0ms60×body640valid
5.0ms29×body320valid
2.0ms21×body160valid

simplify638.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.0b
(/ (* (sin x) (sinh y)) x)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh y)
19.0ms
(* (sin x) (sinh y))
21.0ms
(/ (* (sin x) (sinh y)) x)

series301.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(sinh y)
90.0ms
(* (sin x) (sinh y))
140.0ms
(/ (* (sin x) (sinh y)) x)

simplify606.0ms

Counts
58 → 58

prune197.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.4b
(* (sin x) (/ (sinh y) x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(/ (sinh y) x)
18.0ms
(* (sin x) (/ (sinh y) x))

series348.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(sinh y)
113.0ms
(/ (sinh y) x)
138.0ms
(* (sin x) (/ (sinh y) x))

simplify587.0ms

Counts
77 → 77

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
1.0b
(/ (sin x) (/ x (sinh y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
1.0ms
(sinh y)
10.0ms
(/ x (sinh y))
14.0ms
(/ (sin x) (/ x (sinh y)))

series362.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(sinh y)
159.0ms
(/ x (sinh y))
121.0ms
(/ (sin x) (/ x (sinh y)))

simplify773.0ms

Counts
119 → 119

prune329.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (/ (sin x) x) (sinh y))
0.1b
(/ (sin x) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1
3×sinh-def associate-*r* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 69
Calls
3 calls:
2.0ms
(sinh y)
20.0ms
(* (/ (sin x) x) (sinh y))
9.0ms
(/ (sin x) x)

series257.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(sinh y)
135.0ms
(* (/ (sin x) x) (sinh y))
43.0ms
(/ (sin x) x)

simplify2.0s

Counts
78 → 78

prune281.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify893.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.3s10279×body80valid
865.0ms1876×body1280valid
654.0ms1935×body640valid
635.0ms1064×body320valid
130.0ms608×body160valid