Details

sample110.0ms

Algorithm: halfpoints

simplify59.0ms

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	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	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 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`-un-lft-identity` `associate-l*`
15×	`add-sqr-sqrt`
13×	`times-frac`
10×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r` `distribute-lft-out`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

10.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	220	377
1	838	331
2	3552	330
3	5001	329

prune84.0ms

Filtered

40 candidates to 29 candidates (72.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Merged error: 0b

Counts

41 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

66×	`sqrt-prod`
63×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
51×	`times-frac`
39×	`add-cube-cbrt`
38×	`associate-l`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`expm1-log1p-u` `rem-sqrt-square` `associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*r/`

Counts

4 → 138

Calls

4 calls:

10.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
6.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
6.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
17.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
99.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
105.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
118.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	399	1718
1	1468	1550
2	5001	1532

prune380.0ms

Filtered

150 candidates to 111 candidates (74.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	150	3	153

Merged error: 0b

Counts

153 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.2b	(expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.3b	(log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`times-frac`
12×	`add-cube-cbrt`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u`
3×	`associate-r` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `log1p-expm1` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `expm1-udef`

Counts

3 → 59

Calls

3 calls:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
1.0ms	(expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
1.0ms	(log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
105.0ms	(expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
101.0ms	(log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

simplify99.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	290	649
1	977	562
2	3822	560
3	5001	558

prune166.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0b

Counts

71 → 3

regimes35.0ms

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

sample1.9s

Algorithm: halfpoints