Details

sample286.0ms

Algorithm

intervals

Results

158.0ms	86×	body	1280	valid
63.0ms	55×	body	640	valid
19.0ms	26×	body	320	valid
17.0ms	80×	body	80	valid
4.0ms	9×	body	160	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (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))

rewrite161.0ms

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:

70.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
61.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series215.0ms

Counts

4 → 10

Calls

4 calls:

85.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
80.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
49.0ms	(- (cos x) (cos y))

simplify127.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	1079	4683
1	4343	3463
2	5001	3456

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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))
2.2b	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
97×	`prod-diff`
95×	`*-un-lft-identity`
89×	`add-cube-cbrt`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
10×	`add-log-exp`
6×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `div-inv`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `fma-neg` `cos-mult` `log1p-expm1-u`
3×	`flip3--` `fma-def` `flip--`
2×	`sqr-cos` `diff-log` `associate-*r/` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-cos` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate--r+` `sub-div`

Counts

4 → 188

Calls

4 calls:

83.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms	(+ (cos x) (cos y))
8.0ms	(- 3.0 (sqrt 5.0))
20.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

series406.0ms

Counts

4 → 10

Calls

4 calls:

308.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
33.0ms	(+ (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))
64.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

simplify112.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	955	3673
1	3533	2704
2	5002	2440

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
1.0b	(- 3.0 (sqrt 5.0))
2.1b	(- (cos x) (cos y))
6.8b	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

rewrite45.0ms

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:

19.0ms	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
8.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))
6.0ms	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

series276.0ms

Counts

4 → 10

Calls

4 calls:

143.0ms	(pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3)
0.0ms	(- 3.0 (sqrt 5.0))
51.0ms	(- (cos x) (cos y))
82.0ms	(cbrt (pow (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) 3))

simplify67.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	579	1223
1	2083	953
2	5002	951

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (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))

rewrite162.0ms

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:

69.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
61.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series215.0ms

Counts

4 → 10

Calls

4 calls:

86.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
81.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
48.0ms	(- (cos x) (cos y))

simplify127.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	1079	4683
1	4337	3463
2	5001	3456

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes554.0ms

Accuracy

0% (0.3b 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)

Iter	Nodes	Cost
0	56	63
1	60	63
2	62	63
3	62	63

end0.0ms

sample8.6s

Algorithm

intervals

Results

5.1s	2744×	body	1280	valid
2.0s	1820×	body	640	valid
568.0ms	732×	body	320	valid
517.0ms	2343×	body	80	valid
194.0ms	361×	body	160	valid