Details

sample99.0ms

Algorithm: halfpoints

simplify60.0ms

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-l`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 47

Calls

2 calls:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))

simplify163.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	461
1	1018	404
2	4757	402
3	5001	402

prune135.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Merged error: 0.0b

Counts

54 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
60×	`cbrt-prod`
57×	`add-sqr-sqrt`
56×	`times-frac`
55×	`associate-l`
41×	`add-cube-cbrt`
21×	`unpow-prod-down` `cube-prod`
11×	`distribute-lft-out`
10×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp` `unswap-sqr` `sqr-pow`
5×	`cube-mult` `unpow3`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`cbrt-div` `prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `sum-log` `-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 142

Calls

4 calls:

5.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
4.0ms	(+ (exp (* -1 x)) (exp x))
16.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
6.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

series145.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
20.0ms	(+ (exp (* -1 x)) (exp x))
56.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
48.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

simplify59.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	472	1398
1	1789	1287
2	5001	1275

prune362.0ms

Filtered

154 candidates to 97 candidates (63.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	155	3	158

Merged error: 0.0b

Counts

158 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (cos y)))
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
58×	`associate-l`
55×	`sqrt-prod`
51×	`times-frac`
42×	`cbrt-prod`
41×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`unpow-prod-down` `cube-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out`
6×	`pow-unpow` `add-log-exp`
5×	`cube-mult` `unpow3` `sqr-pow`
4×	`cube-div` `sqrt-div`
3×	`flip3-+` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+`
2×	`pow-to-exp` `pow-pow` `pow-exp` `rem-cube-cbrt`
1×	`+-commutative` `frac-times` `associate-r/` `associate-r` `sum-log` `-commutative` `div-inv`

Counts

4 → 142

Calls

4 calls:

5.0ms	(+ (exp (* -1 x)) (exp x))
29.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (cos y)))
6.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
6.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

series237.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (exp (* -1 x)) (exp x))
122.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (cos y)))
45.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
49.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

simplify61.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	505	2015
1	1788	1791
2	5001	1770

prune515.0ms

Filtered

154 candidates to 97 candidates (63.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	153	4	157

Merged error: 0b

Counts

157 → 4

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (exp (* -1 x)) (exp x)) (cos y))
0.0b	(+ (exp (* -1 x)) (exp x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

7.0ms	(* (+ (exp (* -1 x)) (exp x)) (cos y))
4.0ms	(+ (exp (* -1 x)) (exp x))

series70.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (+ (exp (* -1 x)) (exp x)) (cos y))
21.0ms	(+ (exp (* -1 x)) (exp x))

simplify84.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	168	301
1	634	264
2	3155	259
3	5001	259

prune110.0ms

Filtered

39 candidates to 29 candidates (74.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0b

Counts

43 → 4

regimes49.0ms

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	21	19
1	21	19

end0.0ms

sample2.3s

Algorithm: halfpoints