Details

Time bar (total: 4.1s)

sample68.0ms

Algorithm
intervals
Results
18.0ms64×body1280valid
13.0ms341×body80valid
13.0ms71×body640valid
5.0ms35×body320valid
2.0ms25×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: 15.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
15.1b
(/ (* (sin x) (sinh y)) x)

rewrite33.0ms

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:
2.0ms
(sinh y)
15.0ms
(* (sin x) (sinh y))
14.0ms
(/ (* (sin x) (sinh y)) x)

series244.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
84.0ms
(* (sin x) (sinh y))
99.0ms
(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292340
11273291
25001273

prune146.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:
7.0ms
(/ (sinh y) x)
1.0ms
(sinh y)
18.0ms
(* (sin x) (/ (sinh y) x))

series233.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ (sinh y) x)
60.0ms
(sinh y)
96.0ms
(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0342450
11303402
25001400

prune195.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))

rewrite55.0ms

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)
31.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
20.0ms
(* (sinh y) (/ 1 x))

series245.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(sinh y)
102.0ms
(* (sin x) (* (sinh y) (/ 1 x)))
77.0ms
(* (sinh y) (/ 1 x))

simplify52.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0421485
11597398
25001357

prune189.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
0.2b
(* (sin x) (/ 1 x))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
27×prod-exp
18×add-sqr-sqrt
17×pow1
15×cbrt-unprod
14×associate-*r*
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow-prod-down
7×associate-*r/
6×div-exp
4×sinh-def associate-*l*
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp un-div-inv log1p-expm1-u add-log-exp unswap-sqr
2×frac-times associate-*l/ *-commutative
1×div-inv
Counts
3 → 85
Calls
3 calls:
1.0ms
(sinh y)
50.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
21.0ms
(* (sin x) (/ 1 x))

series191.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
100.0ms
(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
28.0ms
(* (sin x) (/ 1 x))

simplify55.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0471583
12119462
25001437

prune178.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes70.0ms

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
534.0ms1904×body1280valid
397.0ms10429×body80valid
331.0ms1908×body640valid
131.0ms1117×body320valid
57.0ms646×body160valid