Details

Time bar (total: 7.6s)

sample73.0ms

Algorithm
intervals
Results
27.0ms95×body1280valid
14.0ms83×body640valid
13.0ms305×body80valid
4.0ms29×body320valid
2.0ms18×body160valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
54924
613904
748564
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:
2.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
8.0ms
(* (sin x) (/ (sinh y) y))

series249.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (sinh y) y)
58.0ms
(sinh y)
103.0ms
(* (sin x) (/ (sinh y) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0333428
11323384
25001382

prune170.0ms

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

rewrite46.0ms

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
9×sinh-def
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×rec-exp 1-exp add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 192
Calls
4 calls:
5.0ms
(/ 1 (/ y (sinh y)))
0.0ms
(sinh y)
21.0ms
(* (sin x) (/ 1 (/ y (sinh y))))
2.0ms
(/ y (sinh y))

series325.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ 1 (/ y (sinh y)))
59.0ms
(sinh y)
94.0ms
(* (sin x) (/ 1 (/ y (sinh y))))
88.0ms
(/ y (sinh y))

simplify77.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07081429
134461230
250011085

prune401.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (sinh y))
0.0b
(* (sin x) (/ 1 (cbrt (pow (/ y (sinh y)) 3))))
0.0b
(pow (/ y (sinh y)) 3)
0.0b
(cbrt (pow (/ y (sinh y)) 3))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
168×add-sqr-sqrt
148×cbrt-prod
136×*-un-lft-identity
129×add-cube-cbrt
116×associate-*r*
74×unpow-prod-down cube-prod
18×add-exp-log
15×unswap-sqr
13×add-cbrt-cube
12×associate-/r/ div-inv
11×sinh-def
7×pow1 sqr-pow
5×cube-mult unpow3
4×div-exp prod-exp add-log-exp
3×cbrt-undiv cube-div pow-unpow associate-*l* associate-/r* associate-/l*
2×cbrt-div pow-exp cbrt-unprod rem-cube-cbrt
1×pow-to-exp rec-exp pow-pow frac-2neg pow1/3 1-exp associate-*r/ pow-prod-down clear-num un-div-inv *-commutative rem-cbrt-cube
Counts
4 → 271
Calls
4 calls:
2.0ms
(/ y (sinh y))
55.0ms
(* (sin x) (/ 1 (cbrt (pow (/ y (sinh y)) 3))))
7.0ms
(pow (/ y (sinh y)) 3)
5.0ms
(cbrt (pow (/ y (sinh y)) 3))

series427.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(/ y (sinh y))
121.0ms
(* (sin x) (/ 1 (cbrt (pow (/ y (sinh y)) 3))))
116.0ms
(pow (/ y (sinh y)) 3)
100.0ms
(cbrt (pow (/ y (sinh y)) 3))

simplify100.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09391913
142901653
250021633

prune538.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sin x) (sqrt (/ y (sinh y))))
0.0b
(* (/ (sin x) (sqrt (/ y (sinh y)))) (/ (cbrt 1) (sqrt (cbrt (pow (/ y (sinh y)) 3)))))
0.0b
(pow (/ y (sinh y)) 3)
0.0b
(cbrt (pow (/ y (sinh y)) 3))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
769×times-frac
685×add-sqr-sqrt
494×cbrt-prod
454×sqrt-prod
341×*-un-lft-identity
309×add-cube-cbrt
245×associate-*r*
136×unpow-prod-down cube-prod
100×unswap-sqr
56×associate-*l*
26×associate-/r/ div-inv
23×sinh-def
21×add-exp-log
20×sqr-pow
19×add-cbrt-cube
17×associate-/r*
8×cube-mult unpow3
7×pow1
6×cbrt-undiv div-exp
4×prod-exp cbrt-unprod add-log-exp
3×cube-div pow-unpow sqrt-div associate-/l*
2×cbrt-div pow-exp rem-cube-cbrt
1×frac-times pow-to-exp pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative rem-cbrt-cube
Counts
4 → 597
Calls
4 calls:
8.0ms
(/ (sin x) (sqrt (/ y (sinh y))))
238.0ms
(* (/ (sin x) (sqrt (/ y (sinh y)))) (/ (cbrt 1) (sqrt (cbrt (pow (/ y (sinh y)) 3)))))
4.0ms
(pow (/ y (sinh y)) 3)
8.0ms
(cbrt (pow (/ y (sinh y)) 3))

series658.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(/ (sin x) (sqrt (/ y (sinh y))))
260.0ms
(* (/ (sin x) (sqrt (/ y (sinh y)))) (/ (cbrt 1) (sqrt (cbrt (pow (/ y (sinh y)) 3)))))
124.0ms
(pow (/ y (sinh y)) 3)
104.0ms
(cbrt (pow (/ y (sinh y)) 3))

simplify121.0ms

Algorithm
egg-herbie
Counts
609 → 609
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
028269622
150018843

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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
074
174

end0.0ms

sample2.2s

Algorithm
intervals
Results
851.0ms3025×body1280valid
441.0ms2476×body640valid
353.0ms8607×body80valid
152.0ms1237×body320valid
57.0ms623×body160valid