Details

Time bar (total: 4.8s)

sample66.0ms

Algorithm
intervals
Results
19.0ms68×body1280valid
14.0ms80×body640valid
13.0ms324×body80valid
5.0ms44×body320valid
1.0ms16×body160valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31464
42924
55564
615434
750014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.7b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.7b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

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:
1.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series235.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(sinh y)
84.0ms
(* (sin x) (sinh y))
93.0ms
(/ (* (sin x) (sinh y)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292340
11273291
25001273

prune125.0ms

Filtered
64 candidates to 49 candidates (76.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New59564
Fresh000
Picked011
Done000
Total59665

Merged error: 0.0b

Counts
65 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series219.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(sinh y)
72.0ms
(/ (sinh y) x)
90.0ms
(* (sin x) (/ (sinh y) x))

simplify45.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0342450
11303402
25001400

prune149.0ms

Filtered
83 candidates to 64 candidates (77.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New81283
Fresh134
Picked011
Done011
Total82789

Merged error: 0b

Counts
89 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.7b
(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

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:
3.0ms
(/ x (sinh y))
1.0ms
(sinh y)
6.0ms
(/ (sin x) (/ x (sinh y)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(/ x (sinh y))
61.0ms
(sinh y)
91.0ms
(/ (sin x) (/ x (sinh y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0488956
12017903
25001882

prune267.0ms

Filtered
125 candidates to 104 candidates (83.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1241125
Fresh134
Picked011
Done022
Total1257132

Merged error: 0b

Counts
132 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.2b
(/ (/ x (sinh y)) (sin x))
0.7b
(/ 1 (/ (/ x (sinh y)) (sin x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
501×times-frac
246×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×associate-/r*
32×add-exp-log
23×div-inv
20×add-cbrt-cube associate-/l*
19×div-exp
18×sinh-def associate-/r/
10×cbrt-undiv
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/l/ inv-pow
Counts
4 → 330
Calls
4 calls:
1.0ms
(sinh y)
3.0ms
(/ x (sinh y))
7.0ms
(/ (/ x (sinh y)) (sin x))
16.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(sinh y)
103.0ms
(/ x (sinh y))
156.0ms
(/ (/ x (sinh y)) (sin x))
94.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012443710
150023324

prune628.0ms

Filtered
342 candidates to 246 candidates (71.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3420342
Fresh033
Picked011
Done033
Total3427349

Merged error: 0b

Counts
349 → 7

regimes103.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample1.9s

Algorithm
intervals
Results
562.0ms1869×body1280valid
457.0ms10216×body80valid
371.0ms1925×body640valid
158.0ms1165×body320valid
64.0ms617×body160valid