Details

Time bar (total: 10.4s)

sample172.0ms

Algorithm
intervals
Results
87.0ms79×body1280valid
43.0ms67×body640valid
10.0ms77×body80valid
10.0ms22×body320valid
3.0ms11×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

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.5b
(- (cos x) (cos y))

rewrite92.0ms

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:
35.0ms
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
38.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series238.0ms

Counts
4 → 10
Calls
4 calls:
94.0ms
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
88.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
56.0ms
(- (cos x) (cos y))

simplify120.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
010794683
143433463
250013456

prune817.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
1.0b
(- 3.0 (sqrt 5.0))
1.5b
(- (cos x) (cos y))
7.9b
(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×prod-diff
26×add-cube-cbrt
10×sqrt-prod
8×cbrt-prod add-log-exp
7×pow1 add-exp-log add-cbrt-cube
6×fma-neg
4×cube-div expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
3×pow-unpow difference-of-squares
2×cube-mult sub-neg unpow-prod-down cbrt-div pow-pow diff-log unpow3 cube-prod pow-exp distribute-lft-out-- rem-cube-cbrt sqr-pow
1×pow-to-exp pow1/3 pow-prod-down prod-exp rem-cbrt-cube cbrt-unprod diff-cos
Counts
4 → 114
Calls
4 calls:
9.0ms
(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))
2.0ms
(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

series296.0ms

Counts
4 → 10
Calls
4 calls:
156.0ms
(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
0.0ms
(- 3.0 (sqrt 5.0))
50.0ms
(- (cos x) (cos y))
89.0ms
(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05791227
12083955
25001941

prune632.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.5b
(- (cos x) (cos y))

rewrite90.0ms

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:
37.0ms
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
34.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series232.0ms

Counts
4 → 10
Calls
4 calls:
91.0ms
(* (- (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))
55.0ms
(- (cos x) (cos y))

simplify116.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
010794683
143373463
250013456

prune839.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
1.5b
(- (cos x) (cos y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
9×cbrt-prod prod-diff
6×add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-neg pow1/3
1×sub-neg flip3-- diff-log flip-- diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 68
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
4.0ms
(- (cos x) (cos y))

series55.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
55.0ms
(- (cos x) (cos y))

simplify108.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0260588
1774483
23721465
35001455

prune526.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05663
16063
26263
36263

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.0s2767×body1280valid
1.3s1856×body640valid
541.0ms730×body320valid
329.0ms2330×body80valid
101.0ms317×body160valid