Details

Time bar (total: 4.1s)

sample61.0ms

Algorithm
intervals
Results
16.0ms59×body1280valid
14.0ms317×body80valid
13.0ms71×body640valid
3.0ms28×body320valid
2.0ms20×body160valid

simplify48.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.7b
(/ (* (sin x) (sinh y)) x)

rewrite13.0ms

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))
6.0ms
(/ (* (sin x) (sinh y)) x)

series230.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
80.0ms
(* (sin x) (sinh y))
90.0ms
(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0292340
11273291
25001273

prune143.0ms

Filtered
64 candidates to 49 candidates (76.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) x)
0.0b
(sinh y)
0.2b
(* (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:
4.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) x))

series219.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (sinh y) x)
61.0ms
(sinh y)
91.0ms
(* (sin x) (/ (sinh y) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0342450
11303402
25001400

prune188.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(sinh y)
0.9b
(/ (sin x) (/ x (sinh y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
45×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
7×add-exp-log add-cbrt-cube
5×sinh-def associate-/r/ div-inv
3×cbrt-undiv div-exp associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg clear-num
Counts
2 → 86
Calls
2 calls:
1.0ms
(sinh y)
7.0ms
(/ (sin x) (/ x (sinh y)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(sinh y)
90.0ms
(/ (sin x) (/ x (sinh y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0453793
11878752
25002747

prune220.0ms

Filtered
92 candidates to 79 candidates (85.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
1.0b
(/ 1 (/ x (* (sin x) (sinh y))))
14.7b
(/ x (* (sin x) (sinh y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
32×add-exp-log
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
14×div-exp
9×associate-/r*
7×pow1 cbrt-undiv sinh-def
6×associate-*r/ associate-/r/ div-inv associate-/l*
5×prod-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp 1-exp associate-*r* associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 117
Calls
4 calls:
1.0ms
(sinh y)
5.0ms
(* (sin x) (sinh y))
7.0ms
(/ 1 (/ x (* (sin x) (sinh y))))
5.0ms
(/ x (* (sin x) (sinh y)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(sinh y)
81.0ms
(* (sin x) (sinh y))
90.0ms
(/ 1 (/ x (* (sin x) (sinh y))))
156.0ms
(/ x (* (sin x) (sinh y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0483880
12195737
25001678

prune202.0ms

Filtered
129 candidates to 80 candidates (62.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes67.0ms

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
558.0ms1955×body1280valid
420.0ms10356×body80valid
368.0ms1995×body640valid
154.0ms1166×body320valid
69.0ms637×body160valid