Details

Time bar (total: 5.4s)

sample91.0ms

Algorithm
intervals
Results
37.0ms104×body1280valid
17.0ms70×body640valid
14.0ms254×body80valid
6.0ms36×body320valid
3.0ms28×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) y)
0.0b
(sinh 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
5×pow1
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
3.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
8.0ms
(* (sin x) (/ (sinh y) y))

series250.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (sinh y) y)
58.0ms
(sinh y)
104.0ms
(* (sin x) (/ (sinh y) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0348444
11367399
25001397

prune190.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

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)))
2.1b
(log (/ (sinh y) y))

rewrite32.0ms

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
8×pow1 add-cbrt-cube
4×expm1-log1p-u exp-prod log1p-expm1-u div-inv add-log-exp
3×log-div associate-*l* associate-/r* associate-/l* unswap-sqr
2×exp-diff div-exp rem-log-exp log-pow
1×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:
3.0ms
(/ (sinh y) y)
19.0ms
(* (sin x) (exp (log (/ (sinh y) y))))
3.0ms
(exp (log (/ (sinh y) y)))
2.0ms
(log (/ (sinh y) y))

series492.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (sinh y) y)
104.0ms
(* (sin x) (exp (log (/ (sinh y) y))))
87.0ms
(exp (log (/ (sinh y) y)))
210.0ms
(log (/ (sinh y) y))

simplify48.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0425791
11482729
25001715

prune354.0ms

Pruning

3 alts after pruning (2 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))
15.8b
(/ (* (sin x) (sinh y)) y)

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×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u 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 → 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:
65.0ms
(sinh y)
83.0ms
(* (sin x) (sinh y))
98.0ms
(/ (* (sin x) (sinh y)) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0291340
11275291
25001273

prune127.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

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
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×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))

series248.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(/ (sin x) (/ y (sinh y)))
60.0ms
(sinh y)
89.0ms
(/ y (sinh y))

simplify56.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0501956
12124904
25001889

prune292.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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
064

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s2960×body1280valid
591.0ms2449×body640valid
483.0ms8485×body80valid
204.0ms1222×body320valid
73.0ms633×body160valid