Details

Time bar (total: 4.4s)

sample79.0ms

Algorithm
intervals
Results
28.0ms102×body1280valid
18.0ms89×body640valid
10.0ms266×body80valid
4.0ms29×body320valid
2.0ms18×body160valid

simplify48.0ms

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))

rewrite28.0ms

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:
1.0ms
(sinh y)
7.0ms
(/ (sinh y) y)
18.0ms
(* (sin x) (/ (sinh y) y))

series245.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
83.0ms
(/ (sinh y) y)
101.0ms
(* (sin x) (/ (sinh y) y))

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0348444
11367399
25001397

prune192.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(* (sin x) (exp (log (/ (sinh y) y))))
0.0b
(exp (log (/ (sinh y) y)))
2.5b
(log (/ (sinh y) y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×log-prod
37×times-frac
36×add-cube-cbrt *-un-lft-identity
28×exp-sum
16×associate-*r*
10×add-exp-log
pow1 add-cbrt-cube
expm1-log1p-u exp-prod log1p-expm1-u div-inv add-log-exp
log-div associate-*l* associate-/r* associate-/l* unswap-sqr
exp-diff div-exp rem-log-exp log-pow
cbrt-undiv sinh-def frac-2neg associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod rem-exp-log associate-/l/
Counts
4 → 120
Calls
4 calls:
7.0ms
(/ (sinh y) y)
33.0ms
(* (sin x) (exp (log (/ (sinh y) y))))
6.0ms
(exp (log (/ (sinh y) y)))
3.0ms
(log (/ (sinh y) y))

series481.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (sinh y) y)
99.0ms
(* (sin x) (exp (log (/ (sinh y) y))))
85.0ms
(exp (log (/ (sinh y) y)))
212.0ms
(log (/ (sinh y) y))

simplify48.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0425791
11482729
25001715

prune363.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
17.2b
(/ (* (sin x) (sinh y)) y)

rewrite28.0ms

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:
1.0ms
(sinh y)
12.0ms
(* (sin x) (sinh y))
13.0ms
(/ (* (sin x) (sinh y)) y)

series243.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
83.0ms
(* (sin x) (sinh y))
99.0ms
(/ (* (sin x) (sinh y)) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0291340
11275291
25001273

prune131.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample2.3s

Algorithm
intervals
Results
840.0ms2901×body1280valid
431.0ms2482×body640valid
359.0ms8602×body80valid
162.0ms1229×body320valid
54.0ms619×body160valid