Details

sample261.0ms

Algorithm: halfpoints

simplify61.0ms

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

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 45.0b

Counts

2 → 1

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.4b	(- (exp x) (exp (- x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt` `*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
27×	`add-cube-cbrt`
25×	`associate-*l/`
14×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`pow1` `add-log-exp`
6×	`associate-r` `associate-/r*`
5×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `clear-num` `*-commutative` `flip--` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 122

Calls

4 calls:

12.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
16.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(- (exp x) (exp (- x)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))
84.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	560	1117
1	2557	1003
2	5001	1001

prune394.0ms

Filtered

134 candidates to 97 candidates (72.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	5	135

Merged error: 0.1b

Counts

135 → 5

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
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))
0.1b	(* 1/3 (pow x 3))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity`
101×	`associate-l`
73×	`distribute-lft-out`
45×	`add-sqr-sqrt`
40×	`times-frac`
30×	`add-cube-cbrt`
21×	`associate-*l/`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube` `associate-/l*`
10×	`pow1`
8×	`unpow-prod-down` `prod-exp` `unswap-sqr`
6×	`add-log-exp`
4×	`cbrt-unprod` `sqr-pow`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `unpow3` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 147

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
6.0ms	(* 1/60 (pow x 5))
43.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
7.0ms	(* 1/3 (pow x 3))

series216.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp x) (exp (- x)))
54.0ms	(* 1/60 (pow x 5))
96.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
43.0ms	(* 1/3 (pow x 3))

simplify75.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	532	1178
1	2482	1093
2	5001	1093

prune495.0ms

Filtered

159 candidates to 85 candidates (53.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	152	7	159
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	152	12	164

Merged error: 0.0b

Counts

164 → 12

localize57.0ms

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

620×	`*-un-lft-identity`
330×	`times-frac`
306×	`distribute-lft-out`
227×	`associate-l`
154×	`add-sqr-sqrt`
144×	`add-cube-cbrt`
71×	`associate-/r*`
29×	`associate-/r/`
21×	`add-exp-log`
15×	`associate-r` `add-cbrt-cube`
9×	`associate-/l*`
8×	`pow1` `unpow-prod-down`
6×	`prod-exp` `div-inv` `unswap-sqr`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `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×	`unpow3`

Counts

4 → 338

Calls

4 calls:

30.0ms	(/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
6.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))
44.0ms	(/ (sin y) (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
50.0ms	(* 1/60 (pow x 5))
42.0ms	(* 1/3 (pow x 3))
190.0ms	(/ (sin y) (/ 2.0 (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

simplify117.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	713	4093
1	3540	3963
2	5001	3959

prune772.0ms

Filtered

350 candidates to 138 candidates (39.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	346	4	350
Fresh	5	5	10
Picked	0	1	1
Done	0	1	1
Total	351	11	362

Merged error: 0.0b

Counts

362 → 11

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/3 (pow x 3))
0.3b	(* (/ (sin y) (sqrt 2.0)) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)))
0.4b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.4b	(/ (sin y) (sqrt 2.0))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

974×	`*-un-lft-identity`
486×	`distribute-lft-out`
376×	`associate-l`
288×	`frac-times`
271×	`associate-/l*`
252×	`add-sqr-sqrt`
240×	`associate-/r*`
222×	`sqrt-prod`
217×	`add-cube-cbrt`
204×	`times-frac`
90×	`associate-r`
41×	`clear-num`
40×	`frac-2neg`
28×	`associate-/l/`
25×	`add-exp-log`
24×	`associate-*r/`
22×	`add-cbrt-cube`
14×	`flip3-+` `flip-+`
12×	`associate-*l/` `un-div-inv` `unswap-sqr`
8×	`pow1`
7×	`prod-exp`
6×	`cbrt-undiv` `div-exp`
5×	`cbrt-unprod`
4×	`unpow-prod-down` `div-inv` `add-log-exp`
2×	`pow-prod-down` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `unpow3` `pow-exp`

Counts

4 → 643

Calls

4 calls:

6.0ms	(* 1/3 (pow x 3))
84.0ms	(* (/ (sin y) (sqrt 2.0)) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)))
35.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
5.0ms	(/ (sin y) (sqrt 2.0))

series755.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 1/3 (pow x 3))
325.0ms	(* (/ (sin y) (sqrt 2.0)) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)))
123.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
267.0ms	(/ (sin y) (sqrt 2.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

655 → 655

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1524	8861
1	5001	8505

prune1.1s

Filtered

655 candidates to 202 candidates (30.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	652	3	655
Fresh	4	4	8
Picked	0	1	1
Done	1	1	2
Total	657	9	666

Merged error: 0.0b

Counts

666 → 9

regimes113.0ms

Accuracy

0% (0.7b 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	35	19
1	35	19

end0.0ms

sample6.2s

Algorithm: halfpoints