Details

Time bar (total: 11.3s)

sample183.0ms

Algorithm
intervals
Results
102.0ms96×body1280valid
35.0ms54×body640valid
10.0ms22×body320valid
9.0ms75×body80valid
3.0ms9×body160valid

simplify55.0ms

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

localize29.0ms

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))
1.1b
(- (cos x) (cos y))

rewrite97.0ms

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:
39.0ms
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
36.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series239.0ms

Counts
4 → 10
Calls
4 calls:
99.0ms
(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
90.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
51.0ms
(- (cos x) (cos y))

simplify116.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
010794683
143433463
250013456

prune836.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.6b
(fma (cos y) (cos y) (* (cos x) (cos y)))
0.9b
(- (pow (cos x) 3) (pow (cos y) 3))
1.0b
(- 3.0 (sqrt 5.0))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
240×prod-diff
200×add-sqr-sqrt
177×*-un-lft-identity
163×add-cube-cbrt
87×unpow-prod-down cube-prod
55×times-frac
41×distribute-rgt-in distribute-lft-in
33×sqr-pow
25×cube-mult unpow3
20×difference-of-squares
15×fma-neg
14×sqrt-prod
8×add-log-exp
7×distribute-lft-out--
6×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube div-inv
4×expm1-log1p-u sub-neg log1p-expm1-u
3×flip3-- flip--
2×diff-log associate-*r/ unswap-sqr
1×difference-cubes pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 351
Calls
4 calls:
36.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(fma (cos y) (cos y) (* (cos x) (cos y)))
24.0ms
(- (pow (cos x) 3) (pow (cos y) 3))
5.0ms
(- 3.0 (sqrt 5.0))

series243.0ms

Counts
4 → 10
Calls
4 calls:
91.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
66.0ms
(fma (cos y) (cos y) (* (cos x) (cos y)))
85.0ms
(- (pow (cos x) 3) (pow (cos y) 3))
0.0ms
(- 3.0 (sqrt 5.0))

simplify166.0ms

Algorithm
egg-herbie
Counts
361 → 361
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
012356275
145084401
250014399

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
1.0b
(- 3.0 (sqrt 5.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
18×prod-diff
10×sqrt-prod
9×cbrt-prod
6×add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-neg pow1/3
2×difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 77
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
5.0ms
(- 3.0 (sqrt 5.0))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)
0.0ms
(- 3.0 (sqrt 5.0))

simplify87.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0298861
1881717
23799672
35001660

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

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)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.1b
(- (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)))
39.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series278.0ms

Counts
4 → 10
Calls
4 calls:
137.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
89.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
52.0ms
(- (cos x) (cos y))

simplify96.0ms

Algorithm
egg-herbie
Counts
301 → 301
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
017307731
150016094

prune970.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes222.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06666
17066
27266
37266

end0.0ms

sample5.3s

Algorithm
intervals
Results
3.0s2775×body1280valid
1.2s1808×body640valid
350.0ms744×body320valid
337.0ms2341×body80valid
111.0ms332×body160valid