Details

sample317.0ms

Algorithm: halfpoints

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 42.6b

Counts

2 → 1

localize35.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.3b	(- (exp x) (exp (- x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
14×	`add-cube-cbrt`
13×	`associate-*l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-log-exp`
3×	`associate-r` `associate-/r*`
2×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `clear-num` `*-commutative` `div-inv`

Counts

2 → 64

Calls

2 calls:

14.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(- (exp x) (exp (- x)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	324	585
1	1324	528
2	5001	526

prune198.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	4	71

Merged error: 0.1b

Counts

71 → 4

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
0.2b	(* 1/3 (pow x 3))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

142×	`*-un-lft-identity`
101×	`associate-l`
72×	`distribute-lft-out`
47×	`add-sqr-sqrt`
40×	`times-frac`
30×	`add-cube-cbrt`
22×	`associate-r`
21×	`associate-*l/`
18×	`add-exp-log`
13×	`associate-/l*`
12×	`add-cbrt-cube`
9×	`pow1` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`pow-prod-down` `associate-/r` `-commutative` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `frac-2neg` `flip3-+` `unpow3` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

3 → 140

Calls

3 calls:

6.0ms	(* 1/60 (pow x 5))
51.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
8.0ms	(* 1/3 (pow x 3))

series177.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* 1/60 (pow x 5))
90.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
36.0ms	(* 1/3 (pow x 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	451	1095
1	2192	1016
2	5001	1016

prune315.0ms

Filtered

149 candidates to 73 candidates (49.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	142	7	149
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	142	11	153

Merged error: 0.0b

Counts

153 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
0.0b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))
0.3b	(/ (sin y) (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

621×	`*-un-lft-identity`
330×	`times-frac`
306×	`distribute-lft-out`
227×	`associate-l`
157×	`add-sqr-sqrt`
145×	`add-cube-cbrt`
71×	`associate-/r*`
29×	`associate-/r/`
21×	`add-exp-log`
19×	`associate-r`
15×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`pow1` `unpow-prod-down`
7×	`unswap-sqr`
6×	`prod-exp` `div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `cube-prod` `div-exp` `add-log-exp` `sqr-pow`
3×	`frac-2neg` `clear-num`
2×	`pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `unpow3`

Counts

4 → 343

Calls

4 calls:

37.0ms	(/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
7.0ms	(* 1/60 (pow x 5))
8.0ms	(* 1/3 (pow x 3))
51.0ms	(/ (sin y) (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
52.0ms	(* 1/60 (pow x 5))
35.0ms	(* 1/3 (pow x 3))
181.0ms	(/ (sin y) (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

simplify120.0ms

Algorithm

egg-herbie

Counts

355 → 355

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	724	4110
1	3638	3974
2	5001	3971

prune602.0ms

Filtered

355 candidates to 139 candidates (39.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	349	6	355
Fresh	6	3	9
Picked	1	0	1
Done	0	1	1
Total	356	10	366

Merged error: 0.0b

Counts

366 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (pow x 3))
0.2b	(/ (/ (sin y) (sqrt 2.0)) (/ (sqrt 2.0) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))
0.4b	(/ (sin y) (sqrt 2.0))
0.5b	(/ (sqrt 2.0) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

6016×	`*-un-lft-identity`
5268×	`times-frac`
2628×	`distribute-lft-out`
1935×	`add-sqr-sqrt`
1928×	`add-cube-cbrt`
1901×	`associate-l`
1722×	`sqrt-prod`
122×	`associate-/r*`
111×	`div-inv`
70×	`associate-/r/`
40×	`associate-/l*`
25×	`add-exp-log`
24×	`flip3-+` `flip-+`
22×	`add-cbrt-cube`
12×	`associate-r` `associate-/l/`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`frac-2neg` `clear-num`
4×	`unpow-prod-down` `cube-prod` `add-log-exp` `unswap-sqr`
3×	`prod-exp`
2×	`sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 2188

Calls

4 calls:

8.0ms	(* 1/3 (pow x 3))
97.0ms	(/ (/ (sin y) (sqrt 2.0)) (/ (sqrt 2.0) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))
5.0ms	(/ (sin y) (sqrt 2.0))
42.0ms	(/ (sqrt 2.0) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))

series579.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 1/3 (pow x 3))
318.0ms	(/ (/ (sin y) (sqrt 2.0)) (/ (sqrt 2.0) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))
64.0ms	(/ (sin y) (sqrt 2.0))
155.0ms	(/ (sqrt 2.0) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))

simplify664.0ms

Algorithm

egg-herbie

Counts

2200 → 2200

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	2845	49616
1	5003	47474

prune2.0s

Filtered

2200 candidates to 393 candidates (17.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	2196	4	2200
Fresh	5	3	8
Picked	0	1	1
Done	0	1	1
Total	2201	9	2210

Merged error: 0b

Counts

2210 → 9

regimes87.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample6.1s

Algorithm: halfpoints