Details

Time bar (total: 3.9s)

sample60.0ms

Algorithm
intervals
Results
16.0ms60×body1280valid
13.0ms349×body80valid
12.0ms70×body640valid
5.0ms43×body320valid
2.0ms19×body160valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31464
42924
55564
615434
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
16.2b
(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

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×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u 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 → 55
Calls
3 calls:
0.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
4.0ms
(/ (* (sin x) (sinh y)) x)

series228.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
79.0ms
(* (sin x) (sinh y))
90.0ms
(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292340
11273291
25001273

prune147.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
2.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
8.0ms
(* (sin x) (/ (sinh y) x))

series217.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ (sinh y) x)
58.0ms
(sinh y)
90.0ms
(* (sin x) (/ (sinh y) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0342450
11303402
25001400

prune178.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.8b
(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

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 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
2.0ms
(/ x (sinh y))
0.0ms
(sinh y)
8.0ms
(/ (sin x) (/ x (sinh y)))

series253.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(/ x (sinh y))
56.0ms
(sinh y)
88.0ms
(/ (sin x) (/ x (sinh y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0488956
12017903
25001882

prune295.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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×expm1-log1p-u sinh-def associate-*r* associate-/r* log1p-expm1-u 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 → 75
Calls
3 calls:
1.0ms
(sinh y)
12.0ms
(* (/ (sin x) x) (sinh y))
3.0ms
(/ (sin x) x)

series181.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
92.0ms
(* (/ (sin x) x) (sinh y))
28.0ms
(/ (sin x) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0323445
11263397
25001374

prune175.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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
074
174

end0.0ms

sample1.8s

Algorithm
intervals
Results
540.0ms1907×body1280valid
413.0ms10510×body80valid
355.0ms1999×body640valid
133.0ms1031×body320valid
55.0ms599×body160valid