Details

sample89.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.9b	(- (exp x) (exp (- x)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
30.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
8.0ms	(- (exp x) (exp (- x)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	574	1243
1	2008	1013
2	5002	1009

prune440.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

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)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.9b	(- (exp x) (exp (- x)))

rewrite128.0ms

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:

29.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
58.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
8.0ms	(- (exp x) (exp (- x)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
117.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
78.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
38.0ms	(- (exp x) (exp (- x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (52.0ms)

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

prune551.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
0.7b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
17.9b	(- (exp x) (exp (- x)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
69×	`associate-l`
60×	`times-frac`
50×	`add-cube-cbrt`
44×	`add-exp-log`
35×	`add-cbrt-cube`
25×	`sqrt-prod`
19×	`prod-exp`
14×	`cbrt-unprod`
13×	`pow1`
11×	`div-exp`
9×	`prod-diff`
7×	`cbrt-undiv` `associate-r`
6×	`distribute-lft-out` `add-log-exp`
5×	`pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `flip--`

Counts

4 → 171

Calls

4 calls:

29.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
30.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
58.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
7.0ms	(- (exp x) (exp (- x)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
88.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
62.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
35.0ms	(- (exp x) (exp (- x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	813	2298
1	3467	1818
2	5001	1675

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(exp (cos y))
0.5b	(log (pow (exp (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))
17.9b	(- (exp x) (exp (- x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
24×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
10×	`add-exp-log`
9×	`prod-diff` `add-cbrt-cube`
7×	`log-prod` `add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`unpow-prod-down` `exp-prod` `fma-neg` `rem-log-exp` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `log-pow` `-commutative` `flip--` `div-inv` `rem-exp-log` `sqr-pow`

Counts

4 → 101

Calls

4 calls:

27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
1.0ms	(exp (cos y))
3.0ms	(log (pow (exp (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))
8.0ms	(- (exp x) (exp (- x)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
31.0ms	(exp (cos y))
107.0ms	(log (pow (exp (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))
38.0ms	(- (exp x) (exp (- x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	496	1083
1	1611	868
2	5001	863

prune418.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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	22	24
1	22	24

end0.0ms

sample2.5s

Algorithm: halfpoints