Details

Time bar (total: 4.8s)

sample81.0ms

Algorithm
intervals
Results
29.0ms90×body1280valid
16.0ms81×body640valid
14.0ms287×body80valid
5.0ms35×body320valid
2.0ms22×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.1b
(/ (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:
7.0ms
(* (cosh x) (/ (sin y) y))
4.0ms
(/ (sin y) y)

series100.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (cosh x) (/ (sin y) y))
30.0ms
(/ (sin y) y)

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0271408
11085363
25001351

prune142.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New62971
Fresh000
Picked101
Done000
Total63972

Merged error: 0.0b

Counts
72 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:
9.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
2.0ms
(sqrt (cosh x))
2.0ms
(sqrt (cosh x))
4.0ms
(/ (sin y) y)

series223.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
62.0ms
(sqrt (cosh x))
59.0ms
(sqrt (cosh x))
28.0ms
(/ (sin y) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0338628
11205528
25002514

prune216.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh178
Picked011
Done000
Total1059114

Merged error: 0.0b

Counts
114 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (cosh x)) (sin y))
0.3b
(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (sin y))) (* (sqrt 2) y))
0.4b
(* (sqrt 2) y)
0.4b
(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (sin y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
19×associate-*l*
15×sqrt-div
14×*-un-lft-identity prod-exp cbrt-unprod
13×pow1
12×add-cube-cbrt sqrt-prod
11×associate-*l/
7×cosh-def associate-*r*
6×cbrt-undiv div-exp
5×pow-prod-down associate-/l/
4×expm1-log1p-u frac-times flip3-+ flip-+ log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×associate-*r/
1×frac-2neg times-frac clear-num associate-/r* div-inv distribute-lft-out associate-/l*
Counts
4 → 110
Calls
4 calls:
5.0ms
(* (sqrt (cosh x)) (sin y))
14.0ms
(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (sin y))) (* (sqrt 2) y))
5.0ms
(* (sqrt 2) y)
11.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (sin y)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (sqrt (cosh x)) (sin y))
197.0ms
(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (sin y))) (* (sqrt 2) y))
38.0ms
(* (sqrt 2) y)
139.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (cosh x)) (sin y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05461234
129311077
250021076

prune323.0ms

Filtered
122 candidates to 81 candidates (66.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1211122
Fresh347
Picked011
Done011
Total1247131

Merged error: 0b

Counts
131 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×associate-*r*
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt times-frac
9×pow1
7×cbrt-unprod
6×associate-*l*
5×associate-*r/
4×div-exp pow-prod-down
3×cosh-def un-div-inv unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp 1-exp *-commutative log1p-expm1-u add-log-exp
1×associate-*l/ div-inv
Counts
2 → 67
Calls
2 calls:
8.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
8.0ms
(* (sin y) (/ 1 y))

series101.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (* (sin y) (/ 1 y)))
25.0ms
(* (sin y) (/ 1 y))

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0341428
11459344
25001315

prune112.0ms

Filtered
73 candidates to 47 candidates (64.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh044
Picked011
Done022
Total73780

Merged error: 0b

Counts
80 → 7

regimes114.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108
1108

end0.0ms

sample2.5s

Algorithm
intervals
Results
971.0ms2981×body1280valid
526.0ms2507×body640valid
408.0ms8336×body80valid
185.0ms1269×body320valid
66.0ms639×body160valid