Details

Time bar (total: 4.2s)

sample64.0ms

Algorithm
intervals
Results
20.0ms64×body1280valid
12.0ms314×body80valid
11.0ms59×body640valid
5.0ms41×body320valid
2.0ms23×body160valid

simplify51.0ms

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: 11.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
11.3b
(/ (* (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)

series249.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
87.0ms
(* (sin x) (sinh y))
97.0ms
(/ (* (sin x) (sinh y)) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292340
11273291
25001273

prune151.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

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

series231.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
74.0ms
(/ (sinh y) x)
94.0ms
(* (sin x) (/ (sinh y) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0342450
11303402
25001400

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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)
14.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
9.0ms
(* (sinh y) (/ 1 x))

series235.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(sinh y)
97.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
76.0ms
(* (sinh y) (/ 1 x))

simplify52.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0421485
11597398
25001357

prune192.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))

rewrite57.0ms

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:
0.0ms
(sinh y)
20.0ms
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
19.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
9.0ms
(* (sin x) (/ 1 x))

series281.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sinh y)
92.0ms
(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
99.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
28.0ms
(* (sin x) (/ 1 x))

simplify84.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0666995
13467726
25001697

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes63.0ms

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
074
174

end0.0ms

sample1.9s

Algorithm
intervals
Results
554.0ms1867×body1280valid
445.0ms10378×body80valid
362.0ms1880×body640valid
144.0ms1061×body320valid
58.0ms589×body160valid