Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

365×

body

valid

simplify188.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	5
1	40	4
2	88	4
3	142	4
4	202	4
5	400	4
6	1349	4
7	4708	4
8	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-sqr-sqrt`
168×	`prod-diff`
137×	`associate-r`
112×	`*-un-lft-identity`
108×	`add-cube-cbrt`
86×	`distribute-rgt-in` `distribute-lft-in`
56×	`unswap-sqr`
46×	`associate-l`
29×	`swap-sqr`
23×	`*-commutative`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`difference-of-squares`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 241

Calls

2 calls:

27.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
9.0ms	(* 0.12900613773279798 (* x x))

series121.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify119.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	850	3826
1	3410	2546
2	5001	2261

prune134.0ms

Filtered

247 candidates to 51 candidates (20.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	242	5	247
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	243	6	249

Merged error: 0b

Counts

249 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* (* x 0.12900613773279798) x)))
0.2b	(* (* x 0.12900613773279798) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-sqr-sqrt`
132×	`prod-diff`
111×	`associate-l`
88×	`*-un-lft-identity`
82×	`add-cube-cbrt`
68×	`distribute-rgt-in` `distribute-lft-in`
51×	`associate-r`
32×	`unswap-sqr`
15×	`*-commutative`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 197

Calls

2 calls:

19.0ms	(* x (- 0.954929658551372 (* (* x 0.12900613773279798) x)))
8.0ms	(* (* x 0.12900613773279798) x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* x (- 0.954929658551372 (* (* x 0.12900613773279798) x)))
29.0ms	(* (* x 0.12900613773279798) x)

simplify95.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	775	3208
1	2995	2153
2	5001	1996

prune137.0ms

Filtered

203 candidates to 52 candidates (25.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	203	6	209

Merged error: 0b

Counts

209 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

0.2b

(* (sqrt 0.12900613773279798) (* x x))

0.2b

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

940×	`add-sqr-sqrt`
473×	`unswap-sqr`
424×	`associate-r`
414×	`prod-diff`
253×	`sqrt-prod`
230×	`*-un-lft-identity`
226×	`add-cube-cbrt`
209×	`distribute-rgt-in` `distribute-lft-in`
118×	`associate-l`
72×	`swap-sqr` `*-commutative`
23×	`difference-of-squares`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--`
1×	`flip3--` `flip--`

Counts

3 → 595

Calls

3 calls:

57.0ms

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

11.0ms

(* (sqrt 0.12900613773279798) (* x x))

23.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

series293.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms

(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))

49.0ms

(* (sqrt 0.12900613773279798) (* x x))

76.0ms

(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify137.0ms

Algorithm

egg-herbie

Counts

604 → 604

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1388	16829
1	5002	7511

prune310.0ms

Filtered

604 candidates to 106 candidates (17.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	604	0	604
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	604	6	610

Merged error: 0b

Counts

610 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.12900613773279798 (* x x))
0.3b	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
20.2b	(sqrt (* 0.12900613773279798 (* x x)))
20.2b	(sqrt (* 0.12900613773279798 (* x x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

358×	`add-sqr-sqrt`
278×	`sqrt-prod`
206×	`unswap-sqr`
169×	`associate-r`
148×	`pow1`
93×	`swap-sqr`
80×	`pow-prod-down`
77×	`associate-l`
66×	`sqrt-pow1`
64×	`*-un-lft-identity`
56×	`add-cube-cbrt`
42×	`*-commutative`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`rem-sqrt-square`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 344

Calls

4 calls:

10.0ms	(* 0.12900613773279798 (* x x))
43.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
11.0ms	(sqrt (* 0.12900613773279798 (* x x)))
11.0ms	(sqrt (* 0.12900613773279798 (* x x)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 0.12900613773279798 (* x x))
71.0ms	(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
33.0ms	(sqrt (* 0.12900613773279798 (* x x)))
40.0ms	(sqrt (* 0.12900613773279798 (* x x)))

simplify86.0ms

Algorithm

egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	373	1809
1	2013	1718
2	5001	1692

prune487.0ms

Filtered

356 candidates to 158 candidates (44.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	356	6	362

Merged error: 0b

Counts

362 → 6

regimes42.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample394.0ms

Algorithm

intervals

Results

266.0ms

11819×

body

valid