Details

Time bar (total: 3.9s)

sample66.0ms

Algorithm
intervals
Results
18.0ms63×body1280valid
16.0ms85×body640valid
13.0ms323×body80valid
3.0ms25×body320valid
2.0ms20×body160valid

simplify45.0ms

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: 14.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.0b
(/ (* (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)
5.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series229.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(sinh y)
81.0ms
(* (sin x) (sinh y))
90.0ms
(/ (* (sin x) (sinh y)) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0292340
11273291
25001273

prune129.0ms

Filtered
64 candidates to 49 candidates (76.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965

Merged error: 0.0b

Counts
65 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.4b
(* (sin x) (/ (sinh y) x))

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

series221.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
70.0ms
(/ (sinh y) x)
91.0ms
(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0342450
11303402
25001400

prune154.0ms

Filtered
83 candidates to 63 candidates (75.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New81283
Fresh268
Picked011
Done000
Total83992

Merged error: 0b

Counts
92 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sinh y) (/ 1 x))
0.4b
(* (sin x) (* (sinh y) (/ 1 x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt
17×add-cbrt-cube
14×associate-*r*
13×*-un-lft-identity prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
7×cbrt-unprod
6×associate-*r/ associate-*l*
5×sinh-def
4×div-exp pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ un-div-inv *-commutative
1×div-inv
Counts
3 → 78
Calls
3 calls:
1.0ms
(sinh y)
7.0ms
(* (sinh y) (/ 1 x))
8.0ms
(* (sin x) (* (sinh y) (/ 1 x)))

series218.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
70.0ms
(* (sinh y) (/ 1 x))
89.0ms
(* (sin x) (* (sinh y) (/ 1 x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0421485
11597398
25002357

prune153.0ms

Filtered
87 candidates to 61 candidates (70.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New86187
Fresh257
Picked011
Done011
Total88896

Merged error: 0b

Counts
96 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
0.1b
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
0.2b
(* (sin x) (/ 1 x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
59×add-cbrt-cube
50×prod-exp
28×cbrt-unprod
21×add-sqr-sqrt div-exp
18×pow1
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
13×associate-*r/
12×cbrt-undiv
9×pow-prod-down
7×sinh-def
5×rec-exp 1-exp un-div-inv associate-/l/
4×expm1-log1p-u frac-times associate-*l* associate-*l/ log1p-expm1-u add-log-exp
3×associate-/r* unswap-sqr
2×*-commutative div-inv
1×frac-2neg clear-num associate-/l*
Counts
4 → 127
Calls
4 calls:
1.0ms
(sinh y)
11.0ms
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
9.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
7.0ms
(* (sin x) (/ 1 x))

series272.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(sinh y)
91.0ms
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
92.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
27.0ms
(* (sin x) (/ 1 x))

simplify85.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0666995
13467726
25001697

prune242.0ms

Filtered
139 candidates to 86 candidates (61.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1390139
Fresh055
Picked011
Done022
Total1398147

Merged error: 0b

Counts
147 → 8

regimes83.0ms

Accuracy

0% (0.2b 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
0167
1167

end0.0ms

sample1.8s

Algorithm
intervals
Results
521.0ms1833×body1280valid
409.0ms10464×body80valid
346.0ms1963×body640valid
130.0ms1071×body320valid
50.0ms597×body160valid