Details

sample241.0ms

Algorithm

intervals

Results

119.0ms	88×	body	1280	valid
62.0ms	65×	body	640	valid
17.0ms	67×	body	80	valid
17.0ms	26×	body	320	valid
5.0ms	10×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	74	30
1	193	27
2	704	27
3	2994	27
4	5001	27

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

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))
1.9b	(- (cos x) (cos y))

rewrite130.0ms

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)))
37.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series473.0ms

Counts

4 → 10

Calls

4 calls:

322.0ms	(* (* (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))
61.0ms	(- (cos x) (cos y))

simplify94.0ms

Algorithm

egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1730	7731
1	5001	6094

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.5b	(+ (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))
1.5b	(- (pow (cos x) 3) (pow (cos y) 3))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

240×	`prod-diff`
201×	`add-sqr-sqrt`
180×	`*-un-lft-identity`
164×	`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`
10×	`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--` `fma-def` `flip--`
2×	`diff-log` `associate-*r/` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `flip3-+` `sum-cos` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 359

Calls

4 calls:

36.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms	(+ (cos x) (cos y))
6.0ms	(- 3.0 (sqrt 5.0))
22.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

series212.0ms

Counts

4 → 10

Calls

4 calls:

86.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
40.0ms	(+ (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))
86.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

simplify174.0ms

Algorithm

egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1275	6263
1	4730	4393
2	5001	4393

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
1.0b	(- 3.0 (sqrt 5.0))
1.5b	(- (pow (cos x) 3) (pow (cos y) 3))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

162×	`prod-diff`
122×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
94×	`add-cube-cbrt`
87×	`unpow-prod-down` `cube-prod`
33×	`sqr-pow`
25×	`cube-mult` `unpow3`
18×	`difference-of-squares`
15×	`fma-neg`
10×	`sqrt-prod`
8×	`add-log-exp`
6×	`cbrt-prod` `distribute-lft-out--`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--`
1×	`difference-cubes`

Counts

4 → 256

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
4.0ms	(- 3.0 (sqrt 5.0))
21.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

series86.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(- 3.0 (sqrt 5.0))
85.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

simplify102.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	713	3419
1	2287	2324
2	5002	2318

prune970.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))
1.5b	(- (pow (cos x) 3) (pow (cos y) 3))
2.6b	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

240×	`prod-diff`
190×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
162×	`add-cube-cbrt`
87×	`unpow-prod-down` `cube-prod`
85×	`log-prod`
82×	`exp-sum`
54×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
33×	`sqr-pow`
25×	`cube-mult` `unpow3`
18×	`difference-of-squares`
15×	`fma-neg`
11×	`add-log-exp`
10×	`sqrt-prod`
6×	`div-inv` `distribute-lft-out--`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def` `log-pow`
2×	`flip3--` `diff-log` `flip--`
1×	`difference-cubes` `+-commutative` `exp-prod` `exp-to-pow` `flip3-+` `sum-cos` `rem-log-exp` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 346

Calls

4 calls:

3.0ms	(+ (cos x) (cos y))
5.0ms	(- 3.0 (sqrt 5.0))
21.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
19.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series215.0ms

Counts

4 → 10

Calls

4 calls:

38.0ms	(+ (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))
85.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
91.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify154.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1510	6137
1	4589	4130
2	5001	4130

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

regimes196.0ms

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)

Iter	Nodes	Cost
0	53	50
1	53	50

end0.0ms

sample6.9s

Algorithm

intervals

Results

3.7s	2764×	body	1280	valid
1.7s	1829×	body	640	valid
635.0ms	2328×	body	80	valid
496.0ms	743×	body	320	valid
165.0ms	336×	body	160	valid