Details

Time bar (total: 5.8s)

sample89.0ms

Algorithm
intervals
Results
28.0ms79×body1280valid
18.0ms79×body640valid
18.0ms302×body80valid
6.0ms23×body160valid
5.0ms32×body320valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

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
pow1
expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
0.0ms
(sinh y)
2.0ms
(/ (sinh y) y)
8.0ms
(* (sin x) (/ (sinh y) y))

series247.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
86.0ms
(/ (sinh y) y)
100.0ms
(* (sin x) (/ (sinh y) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0348444
11367399
25001397

prune193.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ y (sinh y)))
0.0b
(sinh y)
0.0b
(/ y (sinh y))
0.0b
(* (sin x) (/ 1 (/ y (sinh y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
sinh-def
pow1 cbrt-undiv prod-exp
associate-/l*
unswap-sqr
expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
associate-*l* cbrt-unprod
frac-2neg clear-num
pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 200
Calls
4 calls:
5.0ms
(/ 1 (/ y (sinh y)))
0.0ms
(sinh y)
2.0ms
(/ y (sinh y))
22.0ms
(* (sin x) (/ 1 (/ y (sinh y))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ 1 (/ y (sinh y)))
59.0ms
(sinh y)
89.0ms
(/ y (sinh y))
103.0ms
(* (sin x) (/ 1 (/ y (sinh y))))

simplify82.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07271455
134981254
250021109

prune414.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
6.0ms
(/ (sin x) (/ y (sinh y)))
0.0ms
(sinh y)
2.0ms
(/ y (sinh y))

series249.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(/ (sin x) (/ y (sinh y)))
60.0ms
(sinh y)
91.0ms
(/ y (sinh y))

simplify57.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0501956
12124904
25001889

prune315.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ y (sinh y))
0.0b
(pow (/ y (sinh y)) 3)
0.2b
(cbrt (pow (/ y (sinh y)) 3))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×cbrt-prod
28×unpow-prod-down cube-prod
add-exp-log add-cbrt-cube
sinh-def
pow1 associate-/r/ div-inv
expm1-log1p-u log1p-expm1-u add-log-exp
pow-unpow associate-/r* associate-/l*
cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
4 → 136
Calls
4 calls:
0.0ms
(sinh y)
2.0ms
(/ y (sinh y))
4.0ms
(pow (/ y (sinh y)) 3)
4.0ms
(cbrt (pow (/ y (sinh y)) 3))

series370.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sinh y)
89.0ms
(/ y (sinh y))
119.0ms
(pow (/ y (sinh y)) 3)
100.0ms
(cbrt (pow (/ y (sinh y)) 3))

simplify62.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0458812
12066738
25002696

prune304.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1134
2134

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s3034×body1280valid
594.0ms2470×body640valid
496.0ms8547×body80valid
207.0ms1196×body320valid
69.0ms600×body160valid