Details

Time bar (total: 13.6s)

sample195.0ms

Algorithm
intervals
Results
95.0ms80×body1280valid
46.0ms64×body640valid
12.0ms24×body320valid
10.0ms75×body80valid
4.0ms13×body160valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.3b
(- (cos x) (cos y))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-cube-cbrt add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg
5×sqrt-prod
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
2×times-frac diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 94
Calls
4 calls:
104.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
54.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms
(- 3.0 (sqrt 5.0))
13.0ms
(- (cos x) (cos y))

series305.0ms

Counts
4 → 10
Calls
4 calls:
144.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
98.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
62.0ms
(- (cos x) (cos y))

simplify78.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06221094
126431002
250031002

prune817.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.3b
(- (cos x) (cos y))

rewrite464.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*r/
35×flip3-- flip--
32×frac-times
27×add-sqr-sqrt
20×pow1 add-exp-log add-cbrt-cube
18×associate-*r*
17×*-un-lft-identity
16×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt
8×associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in add-log-exp difference-of-squares
4×sqrt-prod distribute-lft-out--
3×*-commutative
2×times-frac diff-cos unswap-sqr
1×diff-log
Counts
4 → 133
Calls
4 calls:
296.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
102.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
53.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms
(- (cos x) (cos y))

series492.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
129.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
87.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
53.0ms
(- (cos x) (cos y))

simplify126.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08482481
149312282
250022282

prune960.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

2.3b
(- (cos x) (cos y))
4.3b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
4.3b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
4.3b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div associate-*r/
19×flip3-- flip--
12×frac-times
6×add-sqr-sqrt *-un-lft-identity associate-*l/ add-log-exp
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×cbrt-prod pow1/3
1×sub-neg diff-log diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 66
Calls
4 calls:
7.0ms
(- (cos x) (cos y))
72.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
73.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
73.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

series923.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (cos x) (cos y))
293.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
288.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
292.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03641468
111681386
250011365

prune784.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

2.3b
(- (cos x) (cos y))
4.3b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
4.3b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
4.3b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div associate-*r/
19×flip3-- flip--
12×frac-times
6×add-sqr-sqrt *-un-lft-identity associate-*l/ add-log-exp
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×cbrt-prod pow1/3
1×sub-neg diff-log diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 66
Calls
4 calls:
7.0ms
(- (cos x) (cos y))
72.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
73.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
76.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

series936.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (cos x) (cos y))
298.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
290.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
289.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03641468
111681386
250011365

prune788.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes158.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05572
15572

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.0s2698×body1280valid
1.4s1869×body640valid
390.0ms759×body320valid
338.0ms2319×body80valid
124.0ms355×body160valid