Details

sample99.0ms

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

prune6.0ms

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)))

rewrite21.0ms

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))
9.0ms	(+ (exp x) (exp (- x)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))

simplify164.0ms

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

prune121.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

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

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

series152.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
21.0ms	(+ (exp (* -1 x)) (exp x))
21.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
51.0ms	(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

prune348.0ms

Filtered

154 candidates to 97 candidates (63.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	154	3	157

Merged error: 0b

Counts

157 → 3

localize16.0ms

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 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.4b	(log (exp (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
3.0ms	(exp (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
3.0ms	(log (exp (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
22.0ms	(+ (exp x) (exp (- x)))
83.0ms	(exp (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
62.0ms	(log (exp (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

simplify36.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	325	756
1	1142	655
2	5002	654

prune208.0ms

Filtered

83 candidates to 61 candidates (73.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Merged error: 0b

Counts

86 → 3

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample2.3s

Algorithm: halfpoints