Details

Time bar (total: 4.1s)

sample81.0ms

Algorithm
intervals
Results
32.0ms108×body1280valid
18.0ms103×body640valid
11.0ms266×body80valid
5.0ms46×body320valid
2.0ms17×body160valid

simplify44.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (sin x) (/ (sinh y) y))
0.0b
(/ (sinh y) y)
0.0b
(sinh 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:
8.0ms
(* (sin x) (/ (sinh y) y))
2.0ms
(/ (sinh y) y)
1.0ms
(sinh y)

series300.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(* (sin x) (/ (sinh y) y))
122.0ms
(/ (sinh y) y)
77.0ms
(sinh y)

simplify41.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0348444
11367399
25001397

prune180.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)
0.0b
(fma 1/120 (pow y 5) y)
0.0b
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

rewrite12.0ms

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 div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative fma-udef
Counts
3 → 73
Calls
3 calls:
2.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)
0.0ms
(fma 1/120 (pow y 5) y)
8.0ms
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

series406.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y)
113.0ms
(fma 1/120 (pow y 5) y)
210.0ms
(* (sin x) (/ (fma 1/6 (pow y 3) (fma 1/120 (pow y 5) y)) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0279687
11207616
25001616

prune246.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
11.1b
(/ (* (sin x) (sinh y)) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u add-log-exp
cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
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)) y)

series246.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(sinh y)
83.0ms
(* (sin x) (sinh y))
98.0ms
(/ (* (sin x) (sinh y)) y)

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0291340
11275291
25001273

prune121.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample2.3s

Algorithm
intervals
Results
919.0ms3124×body1280valid
470.0ms2485×body640valid
347.0ms8399×body80valid
155.0ms1243×body320valid
59.0ms664×body160valid