Details

Time bar (total: 6.0s)

sample93.0ms

Algorithm
intervals
Results
33.0ms94×body1280valid
22.0ms300×body80valid
17.0ms75×body640valid
6.0ms33×body320valid
2.0ms14×body160valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.2b
(/ (sin y) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u cosh-def div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 65
Calls
2 calls:
8.0ms
(* (cosh x) (/ (sin y) y))
3.0ms
(/ (sin y) y)

series103.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (cosh x) (/ (sin y) y))
29.0ms
(/ (sin y) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0271408
11085363
25001351

prune171.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cosh x))
0.0b
(sqrt (cosh x))
0.0b
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
0.2b
(/ (sin y) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×add-exp-log add-cbrt-cube
11×pow1
10×cosh-def sqrt-div
9×times-frac sqrt-prod
6×associate-*l*
5×frac-times associate-*r/ prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-*l/ associate-/r* associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp
1×frac-2neg associate-*r* clear-num *-commutative div-inv
Counts
4 → 93
Calls
4 calls:
1.0ms
(sqrt (cosh x))
1.0ms
(sqrt (cosh x))
29.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
5.0ms
(/ (sin y) y)

series220.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(sqrt (cosh x))
62.0ms
(sqrt (cosh x))
71.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
24.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0338628
11205528
25002514

prune261.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cosh x))
0.0b
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ 1 (/ y (sin y)))))
0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
45×add-exp-log
25×add-cbrt-cube
16×associate-/r*
15×div-exp prod-exp
11×pow1
10×cosh-def sqrt-div
7×cbrt-undiv cbrt-unprod
6×frac-times associate-*r/ associate-*l* sqrt-prod div-inv associate-/l*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow-prod-down associate-*l/
2×frac-2neg clear-num un-div-inv
1×rem-sqrt-square pow-flip sqrt-pow1 pow1/2 associate-*r* associate-/r/ *-commutative inv-pow
Counts
4 → 163
Calls
4 calls:
1.0ms
(sqrt (cosh x))
30.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ 1 (/ y (sin y)))))
2.0ms
(/ y (sin y))
5.0ms
(/ 1 (/ y (sin y)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (cosh x))
74.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ 1 (/ y (sin y)))))
21.0ms
(/ y (sin y))
24.0ms
(/ 1 (/ y (sin y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06171241
127521028
25002960

prune347.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y)))
0.2b
(/ (sin y) y)
0.2b
(/ (* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))) (sqrt 2))
0.3b
(* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
34×add-exp-log add-cbrt-cube
32×sqrt-div
29×*-un-lft-identity
27×add-cube-cbrt
26×times-frac
20×frac-times
15×associate-*r/ sqrt-prod
14×associate-*r*
13×associate-*l*
12×cosh-def associate-*l/ prod-exp cbrt-unprod
11×pow1 associate-/l/
10×flip3-+ flip-+
9×associate-/r*
8×cbrt-undiv div-exp
4×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l* add-log-exp unswap-sqr
3×div-inv
2×frac-2neg clear-num *-commutative
1×distribute-lft-out
Counts
4 → 153
Calls
4 calls:
29.0ms
(* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y)))
3.0ms
(/ (sin y) y)
33.0ms
(/ (* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))) (sqrt 2))
26.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))

series454.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y)))
24.0ms
(/ (sin y) y)
195.0ms
(/ (* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))) (sqrt 2))
90.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))

simplify78.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06321940
129911750
250021745

prune554.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149
1149

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s2962×body1280valid
649.0ms8653×body80valid
577.0ms2417×body640valid
206.0ms1179×body320valid
81.0ms619×body160valid