Details

Time bar (total: 4.5s)

sample55.0ms

Algorithm
intervals
Results
15.0ms57×body1280valid
12.0ms336×body80valid
9.0ms57×body640valid
2.0ms21×body320valid
1.0ms18×body160valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55174
614554
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.6b
(/ (* (sin x) (sinh y)) x)

rewrite33.0ms

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)
11.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) x)

series245.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
82.0ms
(* (sin x) (sinh y))
101.0ms
(/ (* (sin x) (sinh y)) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0280320
11233272
25001255

prune120.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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)
16.0ms
(* (sin x) (/ (sinh y) x))

series242.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(/ (sinh y) x)
66.0ms
(sinh y)
103.0ms
(* (sin x) (/ (sinh y) x))

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0328433
11261387
25001385

prune160.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
5.0ms
(/ x (sinh y))
1.0ms
(sinh y)
12.0ms
(/ (sin x) (/ x (sinh y)))

series456.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(/ x (sinh y))
250.0ms
(sinh y)
96.0ms
(/ (sin x) (/ x (sinh y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0475938
11984886
25001865

prune269.0ms

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)
0.2b
(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
452×times-frac
214×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
31×div-inv
27×add-exp-log
17×div-exp associate-/r* add-cbrt-cube
16×associate-/l*
15×sinh-def associate-/r/
9×cbrt-undiv
3×pow1 add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×associate-/l/
Counts
3 → 268
Calls
3 calls:
2.0ms
(sinh y)
8.0ms
(/ (sin x) x)
23.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
27.0ms
(/ (sin x) x)
98.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013853299
150012983

prune536.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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
474.0ms1795×body1280valid
396.0ms10412×body80valid
356.0ms1980×body640valid
127.0ms1099×body320valid
63.0ms607×body160valid