Details

sample231.0ms

Algorithm

intervals

Results

110.0ms	81×	body	1280	valid
64.0ms	60×	body	640	valid
17.0ms	82×	body	80	valid
12.0ms	18×	body	320	valid
6.0ms	15×	body	160	valid

simplify57.0ms

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

prune17.0ms

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 5.0) 1.0) 2.0) (cos x))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.8b	(- (cos x) (cos y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

138×	`add-sqr-sqrt`
118×	`*-un-lft-identity`
106×	`add-cube-cbrt`
105×	`prod-diff`
74×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-l`
17×	`sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
9×	`associate-r`
8×	`pow1` `add-log-exp`
7×	`div-inv`
6×	`fma-neg` `distribute-lft-out--`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `unswap-sqr`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
2×	`diff-log` `associate-r/` `pow-prod-down` `-commutative`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `diff-cos`

Counts

4 → 221

Calls

4 calls:

26.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
36.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series240.0ms

Counts

4 → 10

Calls

4 calls:

88.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
92.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
60.0ms	(- (cos x) (cos y))

simplify115.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	1116	3998
1	4264	2949
2	5001	2942

prune841.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
1.0b	(- 3.0 (sqrt 5.0))
1.8b	(- (cos x) (cos y))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

197×	`add-sqr-sqrt`
184×	`*-un-lft-identity`
183×	`prod-diff`
174×	`add-cube-cbrt`
164×	`distribute-rgt-in` `distribute-lft-in`
127×	`times-frac`
31×	`associate-l`
22×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
13×	`div-inv`
11×	`pow1`
9×	`difference-of-squares`
8×	`add-log-exp`
6×	`sub-neg` `fma-neg`
5×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-r/` `associate-r*` `pow-prod-down` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`diff-log` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `diff-cos`

Counts

4 → 302

Calls

4 calls:

22.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
63.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series237.0ms

Counts

4 → 10

Calls

4 calls:

88.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
94.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
0.0ms	(- 3.0 (sqrt 5.0))
54.0ms	(- (cos x) (cos y))

simplify150.0ms

Algorithm

egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	1422	6730
1	4122	5346
2	5001	5309

prune884.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (sin y)) 3)
1.0b	(- 3.0 (sqrt 5.0))
1.8b	(- (cos x) (cos y))
59.7b	(fma (sqrt 2.0) (/ (- (pow (cbrt (sin y)) 3)) 16.0) (* (sqrt 2.0) (/ (* (cbrt (sin y)) (* (cbrt (sin y)) (cbrt (sin y)))) 16.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
27×	`prod-diff`
10×	`sqrt-prod`
8×	`add-log-exp`
6×	`cbrt-prod` `unpow-prod-down` `fma-neg` `cube-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow` `difference-of-squares`
2×	`sub-neg` `flip3--` `pow-pow` `diff-log` `flip--` `distribute-lft-out--`
1×	`cube-mult` `pow-to-exp` `pow1/3` `unpow3` `pow-exp` `fma-udef` `diff-cos` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 109

Calls

4 calls:

2.0ms	(pow (cbrt (sin y)) 3)
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))
0.0ms	(fma (sqrt 2.0) (/ (- (pow (cbrt (sin y)) 3)) 16.0) (* (sqrt 2.0) (/ (* (cbrt (sin y)) (* (cbrt (sin y)) (cbrt (sin y)))) 16.0)))

series301.0ms

Counts

4 → 10

Calls

4 calls:

123.0ms	(pow (cbrt (sin y)) 3)
0.0ms	(- 3.0 (sqrt 5.0))
57.0ms	(- (cos x) (cos y))
121.0ms	(fma (sqrt 2.0) (/ (- (pow (cbrt (sin y)) 3)) 16.0) (* (sqrt 2.0) (/ (* (cbrt (sin y)) (* (cbrt (sin y)) (cbrt (sin y)))) 16.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	508	1105
1	1903	789
2	5003	771

prune776.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

1.0b	(- 3.0 (sqrt 5.0))
1.8b	(- (cos x) (cos y))
1.8b	(- (cos x) (cos y))
1.8b	(- (cos x) (cos y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
45×	`prod-diff`
38×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
10×	`sqrt-prod`
5×	`difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`
3×	`diff-cos`

Counts

4 → 125

Calls

4 calls:

4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))
4.0ms	(- (cos x) (cos y))
4.0ms	(- (cos x) (cos y))

series165.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(- 3.0 (sqrt 5.0))
55.0ms	(- (cos x) (cos y))
53.0ms	(- (cos x) (cos y))
57.0ms	(- (cos x) (cos y))

simplify141.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	301	1275
1	864	852
2	4512	797
3	5001	751

prune703.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes138.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	60
1	64	60
2	67	60
3	67	60

end0.0ms

sample6.9s

Algorithm

intervals

Results

3.9s	2779×	body	1280	valid
1.7s	1808×	body	640	valid
488.0ms	2324×	body	80	valid
481.0ms	713×	body	320	valid
161.0ms	376×	body	160	valid