Details

Time bar (total: 4.6s)

sample77.0ms

Algorithm
intervals
Results
27.0ms68×body1280valid
17.0ms314×body80valid
12.0ms53×body640valid
5.0ms29×body320valid
3.0ms28×body160valid

simplify52.0ms

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: 15.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
15.8b
(/ (* (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)

series254.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(sinh y)
89.0ms
(* (sin x) (sinh y))
96.0ms
(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0292340
11273291
25001273

prune162.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize10.0ms

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:
0.0ms
(sinh y)
2.0ms
(/ (sinh y) x)
8.0ms
(* (sin x) (/ (sinh y) x))

series247.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(sinh y)
83.0ms
(/ (sinh y) x)
98.0ms
(* (sin x) (/ (sinh y) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0342450
11303402
25001400

prune219.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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)
17.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
8.0ms
(* (sinh y) (/ 1 x))

series242.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
107.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
73.0ms
(* (sinh y) (/ 1 x))

simplify50.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0421485
11597398
25001357

prune193.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

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)))

series265.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(/ x (sinh y))
64.0ms
(sinh y)
94.0ms
(/ (sin x) (/ x (sinh y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0488956
12017903
25001882

prune289.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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
0105
1105

end0.0ms

sample2.2s

Algorithm
intervals
Results
634.0ms1839×body1280valid
573.0ms10257×body80valid
444.0ms1932×body640valid
186.0ms1100×body320valid
72.0ms621×body160valid