Details

Time bar (total: 12.1s)

sample176.0ms

Algorithm
intervals
Results
96.0ms84×body1280valid
33.0ms49×body640valid
11.0ms83×body80valid
11.0ms23×body320valid
5.0ms17×body160valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07430
119327
270427
3299427
4500127

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

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))
2.1b
(- (cos x) (cos y))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
184×add-sqr-sqrt
183×prod-diff
172×*-un-lft-identity
164×add-cube-cbrt
110×times-frac
82×distribute-rgt-in distribute-lft-in
14×sqrt-prod
12×associate-*r* div-inv
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg fma-neg
4×expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out--
2×diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 291
Calls
4 calls:
63.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
35.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series282.0ms

Counts
4 → 10
Calls
4 calls:
138.0ms
(* (* (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))
53.0ms
(- (cos x) (cos y))

simplify92.0ms

Algorithm
egg-herbie
Counts
301 → 301
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017307731
150016094

prune991.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

2.1b
(- (cos x) (cos y))
5.8b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
5.8b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
5.8b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div associate-*r/
19×flip3-- flip--
13×add-sqr-sqrt *-un-lft-identity
12×frac-times
11×add-cube-cbrt
9×prod-diff
6×associate-*l/ add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×cbrt-prod fma-neg pow1/3
1×sub-neg diff-log diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 86
Calls
4 calls:
4.0ms
(- (cos x) (cos y))
40.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
38.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
42.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

series877.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (cos x) (cos y))
277.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
277.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
273.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04311731
114221557
250011539

prune741.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b
(- 3.0 (sqrt 5.0))
2.1b
(- (cos x) (cos y))
5.8b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
5.8b
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×*-un-lft-identity
27×prod-diff
24×add-cube-cbrt
16×cbrt-div associate-*r/
14×flip3-- flip--
10×sqrt-prod
8×frac-times add-log-exp
6×fma-neg
4×pow1 add-exp-log expm1-log1p-u associate-*l/ add-cbrt-cube log1p-expm1-u
3×difference-of-squares
2×cbrt-prod sub-neg pow1/3 diff-log distribute-lft-out--
1×diff-cos
Counts
4 → 105
Calls
4 calls:
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))
39.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
38.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

series607.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(- 3.0 (sqrt 5.0))
55.0ms
(- (cos x) (cos y))
276.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))
276.0ms
(cbrt (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05731652
118221369
250021352

prune811.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.1b
(- (cos x) (cos y))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
133×add-sqr-sqrt
123×prod-diff
119×*-un-lft-identity
109×add-cube-cbrt
56×times-frac
52×distribute-rgt-in distribute-lft-in
14×sqrt-prod
12×associate-*r* associate-*l*
9×flip3-- flip--
8×pow1 add-exp-log add-cbrt-cube add-log-exp difference-of-squares
6×sub-neg fma-neg div-inv
5×distribute-lft-out--
4×expm1-log1p-u frac-times associate-*r/ log1p-expm1-u
3×unswap-sqr
2×diff-log pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 234
Calls
4 calls:
36.0ms
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
37.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series234.0ms

Counts
4 → 10
Calls
4 calls:
93.0ms
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
86.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
54.0ms
(- (cos x) (cos y))

simplify123.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
010794683
143433463
250013456

prune809.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04958
14958

end0.0ms

sample5.4s

Algorithm
intervals
Results
3.1s2710×body1280valid
1.3s1885×body640valid
395.0ms781×body320valid
321.0ms2273×body80valid
119.0ms351×body160valid