Details

Time bar (total: 4.6s)

sample63.0ms

Algorithm
intervals
Results
16.0ms58×body1280valid
15.0ms304×body80valid
12.0ms68×body640valid
4.0ms30×body320valid
2.0ms28×body160valid

simplify45.0ms

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: 12.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
12.5b
(/ (* (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×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:
0.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
4.0ms
(/ (* (sin x) (sinh y)) x)

series238.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
84.0ms
(* (sin x) (sinh y))
93.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune124.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

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×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:
0.0ms
(sinh y)
2.0ms
(/ (sinh y) x)
8.0ms
(* (sin x) (/ (sinh y) x))

series244.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
88.0ms
(/ (sinh y) x)
94.0ms
(* (sin x) (/ (sinh y) x))

simplify38.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0328433
11261387
25001385

prune178.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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
(/ x (sinh y))
0.0ms
(sinh y)
6.0ms
(/ (sin x) (/ x (sinh y)))

series266.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(/ x (sinh y))
57.0ms
(sinh y)
99.0ms
(/ (sin x) (/ x (sinh y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0475938
11984886
25001865

prune281.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (sinh y))
0.0b
(sinh y)
0.1b
(/ (sin x) x)
0.2b
(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
461×times-frac
223×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×add-exp-log div-inv
20×associate-/r* add-cbrt-cube
19×div-exp associate-/l*
16×sinh-def associate-/r/
10×cbrt-undiv
5×pow1
4×add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/l/ inv-pow
Counts
4 → 300
Calls
4 calls:
2.0ms
(/ 1 (sinh y))
0.0ms
(sinh y)
3.0ms
(/ (sin x) x)
12.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

series252.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ 1 (sinh y))
63.0ms
(sinh y)
27.0ms
(/ (sin x) x)
92.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014053457
150013125

prune639.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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

sample1.9s

Algorithm
intervals
Results
533.0ms1840×body1280valid
443.0ms10308×body80valid
386.0ms2061×body640valid
145.0ms1134×body320valid
52.0ms594×body160valid