Details

Time bar (total: 5.4s)

sample84.0ms

Algorithm
intervals
Results
23.0ms68×body1280valid
20.0ms80×body640valid
18.0ms324×body80valid
7.0ms44×body320valid
2.0ms16×body160valid

simplify46.0ms

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: 13.7b

localize6.0ms

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)

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)) x)

series228.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sinh y)
78.0ms
(* (sin x) (sinh y))
89.0ms
(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0292340
11273291
25001273

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.1b
(* (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:
0.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
8.0ms
(* (sin x) (/ (sinh y) x))

series218.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(sinh y)
70.0ms
(/ (sinh y) x)
90.0ms
(* (sin x) (/ (sinh y) x))

simplify45.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0342450
11303402
25001400

prune177.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

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)))

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:
2.0ms
(/ x (sinh y))
0.0ms
(sinh y)
6.0ms
(/ (sin x) (/ x (sinh y)))

series250.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(/ x (sinh y))
59.0ms
(sinh y)
90.0ms
(/ (sin x) (/ x (sinh y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0488956
12017903
25001882

prune299.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

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:
0.0ms
(sinh y)
2.0ms
(/ x (sinh y))
6.0ms
(/ (/ x (sinh y)) (sin x))
14.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sinh y)
114.0ms
(/ x (sinh y))
160.0ms
(/ (/ x (sinh y)) (sin x))
112.0ms
(/ 1 (/ (/ x (sinh y)) (sin x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012443710
150023324

prune798.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
650.0ms1869×body1280valid
578.0ms10216×body80valid
454.0ms1925×body640valid
192.0ms1165×body320valid
76.0ms617×body160valid