Details

Time bar (total: 7.1s)

sample103.0ms

Algorithm
intervals
Results
33.0ms360×body80valid
22.0ms58×body1280valid
16.0ms63×body640valid
7.0ms38×body320valid
2.0ms19×body160valid

simplify33.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
17.3b
(/ (* (sin x) (sinh y)) x)

rewrite35.0ms

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:
2.0ms
(sinh y)
13.0ms
(* (sin x) (sinh y))
18.0ms
(/ (* (sin x) (sinh y)) x)

series336.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(sinh y)
121.0ms
(* (sin x) (sinh y))
123.0ms
(/ (* (sin x) (sinh y)) x)

simplify31.0ms

Counts
58 → 58

prune171.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:
7.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
24.0ms
(* (sin x) (/ (sinh y) x))

series304.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ (sinh y) x)
71.0ms
(sinh y)
150.0ms
(* (sin x) (/ (sinh y) x))

simplify96.0ms

Counts
77 → 77

prune211.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.2b
(/ (sin x) (/ x (sinh y)))

rewrite41.0ms

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:
9.0ms
(/ x (sinh y))
2.0ms
(sinh y)
25.0ms
(/ (sin x) (/ x (sinh y)))

series346.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(/ x (sinh y))
82.0ms
(sinh y)
137.0ms
(/ (sin x) (/ x (sinh y)))

simplify38.0ms

Counts
119 → 119

prune377.0ms

Pruning

6 alts after pruning (5 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)

rewrite35.0ms

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:
1.0ms
(sinh y)
19.0ms
(* (/ (sin x) x) (sinh y))
13.0ms
(/ (sin x) x)

series239.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(sinh y)
111.0ms
(* (/ (sin x) x) (sinh y))
30.0ms
(/ (sin x) x)

simplify115.0ms

Counts
78 → 78

prune201.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify48.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.3s1916×body640valid
958.0ms1864×body1280valid
938.0ms10393×body80valid
223.0ms1150×body320valid
84.0ms635×body160valid