Details

sample147.0ms

Algorithm: halfpoints

simplify62.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.6b	(- (exp x) (exp (- x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`associate-l`
29×	`add-cube-cbrt` `times-frac`
13×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 105

Calls

3 calls:

52.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
56.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0ms	(- (exp x) (exp (- x)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
76.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	541	1133
1	1885	916
2	5002	915

prune623.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.6b	(- (exp x) (exp (- x)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`associate-l`
41×	`times-frac`
40×	`add-cube-cbrt`
34×	`sqrt-prod`
16×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
9×	`prod-diff`
7×	`associate-r`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
5×	`sqrt-div` `pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `*-commutative` `div-inv`
1×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `div-exp` `flip--`

Counts

4 → 146

Calls

4 calls:

53.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
105.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
54.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0ms	(- (exp x) (exp (- x)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
110.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
73.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
32.0ms	(- (exp x) (exp (- x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	643	1806
1	2282	1508
2	5003	1507

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))) (* (sqrt (cbrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
0.0b	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.6b	(- (exp x) (exp (- x)))

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
99×	`add-sqr-sqrt`
88×	`cbrt-prod`
82×	`times-frac`
62×	`add-cube-cbrt`
42×	`associate-l`
28×	`cbrt-div` `sqrt-div`
25×	`swap-sqr`
23×	`associate-r`
22×	`pow1`
21×	`associate-*l/`
20×	`add-exp-log`
18×	`frac-times` `add-cbrt-cube` `distribute-lft-out`
12×	`associate-*r/`
11×	`unswap-sqr`
9×	`prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`cbrt-undiv` `pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `div-exp` `sqrt-prod` `flip--`

Counts

4 → 202

Calls

4 calls:

316.0ms	(* (sqrt (* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))) (* (sqrt (cbrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
92.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))
52.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
19.0ms	(- (exp x) (exp (- x)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (sqrt (* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))) (* (sqrt (cbrt (/ (+ (exp x) (exp (- x))) 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))))
280.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))
77.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
34.0ms	(- (exp x) (exp (- x)))

simplify111.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	863	3730
1	3325	3344
2	5002	3226

prune2.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes131.0ms

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	19	16
1	19	16

end0.0ms

sample3.1s

Algorithm: halfpoints