Details

sample100.0ms

Algorithm: halfpoints

simplify60.0ms

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))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.0b	(- (exp x) (exp (- x)))

rewrite35.0ms

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:

5.0ms	(+ (exp x) (exp (- x)))
10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (exp x) (exp (- x)))
58.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms	(- (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

prune437.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.0b	(- (exp x) (exp (- x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

6.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
22.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
130.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
82.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	653	1708
1	2268	1408
2	5001	1404

prune535.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.0b	(- (exp x) (exp (- x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

2.0ms	(sqrt (exp x))
1.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
10.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
65.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
76.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	417	915
1	1335	727
2	5001	724

prune386.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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

sample2.0s

Algorithm: halfpoints