Details

Time bar (total: 4.6s)

sample51.0ms

Algorithm
intervals
Results
12.0ms320×body80valid
11.0ms43×body1280valid
11.0ms62×body640valid
4.0ms32×body320valid
1.0ms15×body160valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1324
2684
31464
42924
55564
615434
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.8b
(/ (* (sin x) (sinh y)) x)

rewrite15.0ms

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))
8.0ms
(/ (* (sin x) (sinh y)) x)

series274.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
118.0ms
(* (sin x) (sinh y))
94.0ms
(/ (* (sin x) (sinh y)) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0292340
11273291
25001273

prune151.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.2b
(* (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))

series230.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
73.0ms
(/ (sinh y) x)
93.0ms
(* (sin x) (/ (sinh y) x))

simplify39.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0342450
11303402
25001400

prune200.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.5b
(/ (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)))

series267.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(/ x (sinh y))
63.0ms
(sinh y)
95.0ms
(/ (sin x) (/ x (sinh y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0488956
12017903
25001882

prune305.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
44×associate-*l*
32×add-exp-log add-cbrt-cube
16×associate-/r*
13×cbrt-undiv div-exp
10×div-inv
6×pow1 prod-exp cbrt-unprod
5×sinh-def
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×associate-*r* associate-/l/ unswap-sqr
2×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r/
1×pow-prod-down *-commutative
Counts
4 → 182
Calls
4 calls:
13.0ms
(/ (* (/ (sin x) (/ x 2)) (sinh y)) 2)
1.0ms
(sinh y)
12.0ms
(* (/ (sin x) (/ x 2)) (sinh y))
6.0ms
(/ (sin x) (/ x 2))

series314.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (* (/ (sin x) (/ x 2)) (sinh y)) 2)
65.0ms
(sinh y)
105.0ms
(* (/ (sin x) (/ x 2)) (sinh y))
47.0ms
(/ (sin x) (/ x 2))

simplify101.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08011430
140241286
250011281

prune513.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106
1106

end0.0ms

sample1.8s

Algorithm
intervals
Results
516.0ms1809×body1280valid
428.0ms10412×body80valid
370.0ms1967×body640valid
146.0ms1086×body320valid
52.0ms592×body160valid