Details

Time bar (total: 11.7s)

sample175.0ms

Algorithm
intervals
Results
89.0ms81×body1280valid
37.0ms56×body640valid
12.0ms27×body320valid
10.0ms77×body80valid
4.0ms15×body160valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize32.0ms

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)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.6b
(- (cos x) (cos y))

rewrite164.0ms

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:
95.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
49.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms
(- 3.0 (sqrt 5.0))
11.0ms
(- (cos x) (cos y))

series287.0ms

Counts
4 → 10
Calls
4 calls:
139.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
90.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
58.0ms
(- (cos x) (cos y))

simplify70.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06221094
126431002
250031002

prune535.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
1.0b
(- 3.0 (sqrt 5.0))
1.6b
(- (cos x) (cos y))
7.1b
(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
16×cube-div associate-*r/
14×flip3-- flip--
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×cbrt-prod frac-times cbrt-div add-log-exp
6×add-cube-cbrt
4×associate-*l/
3×pow-unpow pow-pow pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt difference-of-squares
2×cube-mult sub-neg unpow-prod-down diff-log unpow3 cube-prod distribute-lft-out-- sqr-pow
1×pow-to-exp pow1/3 sqrt-prod rem-cbrt-cube diff-cos
Counts
4 → 88
Calls
4 calls:
77.0ms
(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
6.0ms
(- 3.0 (sqrt 5.0))
7.0ms
(- (cos x) (cos y))
15.0ms
(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

series581.0ms

Counts
4 → 10
Calls
4 calls:
384.0ms
(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
0.0ms
(- 3.0 (sqrt 5.0))
58.0ms
(- (cos x) (cos y))
138.0ms
(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

simplify77.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06961374
131541291
250021291

prune614.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
1.0b
(- 3.0 (sqrt 5.0))
1.8b
(- (* (cos x) (cos x)) (* (cos y) (cos y)))
7.1b
(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
16×cube-div associate-*r/
14×flip3-- flip--
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×cbrt-prod frac-times cbrt-div *-un-lft-identity add-log-exp
6×add-cube-cbrt
4×associate-*l/ cos-mult
3×pow-unpow pow-pow pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt difference-of-squares
2×cube-mult sub-neg unpow-prod-down sqr-cos diff-log unpow3 cube-prod sqr-pow
1×pow-to-exp pow1/3 associate--l+ sqrt-prod frac-sub rem-cbrt-cube associate--r+ distribute-lft-out-- sub-div
Counts
4 → 90
Calls
4 calls:
74.0ms
(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
6.0ms
(- 3.0 (sqrt 5.0))
16.0ms
(- (* (cos x) (cos x)) (* (cos y) (cos y)))
15.0ms
(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

series582.0ms

Counts
4 → 10
Calls
4 calls:
372.0ms
(pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3)
0.0ms
(- 3.0 (sqrt 5.0))
74.0ms
(- (* (cos x) (cos x)) (* (cos y) (cos y)))
136.0ms
(cbrt (pow (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) 3))

simplify79.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07221431
134081322
250011322

prune741.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (cos x) (cos y))
4.7b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
4.7b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
4.7b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

rewrite222.0ms

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))
70.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
71.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
71.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

series916.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (cos x) (cos y))
292.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
286.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
285.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03641468
111681386
250011365

prune622.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

regimes141.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04332
14332

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.9s2706×body1280valid
1.5s1866×body640valid
358.0ms771×body320valid
300.0ms2299×body80valid
112.0ms358×body160valid