Details

Time bar (total: 12.1s)

sample91.0ms

Algorithm
intervals
Results
26.0ms67×body1280valid
19.0ms315×body80valid
15.0ms59×body640valid
7.0ms38×body320valid
2.0ms15×body160valid

simplify806.0ms

Counts
1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.1b
(/ (* (sin x) (sinh y)) x)

rewrite60.0ms

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:
3.0ms
(sinh y)
26.0ms
(* (sin x) (sinh y))
29.0ms
(/ (* (sin x) (sinh y)) x)

series380.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(sinh y)
141.0ms
(* (sin x) (sinh y))
125.0ms
(/ (* (sin x) (sinh y)) x)

simplify695.0ms

Counts
58 → 58

prune195.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:
3.0ms
(sinh y)
14.0ms
(/ (sinh y) x)
24.0ms
(* (sin x) (/ (sinh y) x))

series338.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(sinh y)
111.0ms
(/ (sinh y) x)
151.0ms
(* (sin x) (/ (sinh y) x))

simplify551.0ms

Counts
77 → 77

prune192.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.7b
(/ (sin x) (/ x (sinh y)))

rewrite35.0ms

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:
2.0ms
(sinh y)
9.0ms
(/ x (sinh y))
15.0ms
(/ (sin x) (/ x (sinh y)))

series307.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
117.0ms
(/ x (sinh y))
127.0ms
(/ (sin x) (/ x (sinh y)))

simplify792.0ms

Counts
119 → 119

prune396.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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)
34.0ms
(* (/ (sin x) x) (sinh y))
15.0ms
(/ (sin x) x)

series266.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(sinh y)
127.0ms
(* (/ (sin x) x) (sinh y))
53.0ms
(/ (sin x) x)

simplify1.6s

Counts
78 → 78

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify839.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.3s10128×body80valid
1.1s1880×body1280valid
662.0ms2016×body640valid
290.0ms1125×body320valid
78.0ms571×body160valid