Details

sample97.0ms

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

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

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:

51.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
12.0ms	(+ (exp x) (exp (- x)))
53.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0ms	(- (exp x) (exp (- x)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
22.0ms	(+ (exp x) (exp (- x)))
82.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (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

prune562.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

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:

51.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
12.0ms	(+ (exp x) (exp (- x)))
53.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.0ms	(- (exp x) (exp (- x)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (48.0ms)

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

prune448.0ms

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

21.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
20.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
54.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.0ms	(- (exp x) (exp (- x)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
98.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	485	1424
1	1500	1211
2	5002	1191

prune539.0ms

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 (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(* (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))))
17.6b	(- (exp x) (exp (- x)))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
36×	`add-sqr-sqrt` `pow-prod-down`
30×	`*-un-lft-identity`
22×	`add-cube-cbrt`
21×	`add-exp-log` `add-cbrt-cube`
20×	`associate-l`
17×	`sqrt-pow1` `pow1/2`
16×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
9×	`prod-diff`
8×	`pow-prod-up`
6×	`associate-*l/` `pow-sqr` `add-log-exp`
5×	`sqrt-unprod`
4×	`expm1-log1p-u` `sqrt-div` `associate-r` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `sqrt-prod`
2×	`pow-plus` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `frac-times` `sub-neg` `rem-sqrt-square` `flip3--` `diff-log` `associate-*r/` `swap-sqr` `div-exp` `rem-square-sqrt` `flip--` `div-inv`

Counts

4 → 132

Calls

4 calls:

2.0ms	(sqrt (cos y))
51.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
138.0ms	(* (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))))
16.0ms	(- (exp x) (exp (- x)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (cos y))
85.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
124.0ms	(* (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))))
41.0ms	(- (exp x) (exp (- x)))

simplify71.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	567	1369
1	2261	1002
2	5001	985

prune430.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	17
1	27	17
2	27	17

end0.0ms

sample1.9s

Algorithm: halfpoints