Details

sample111.0ms

Algorithm: halfpoints

simplify58.0ms

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	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	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))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.6b	(- (exp x) (exp (- x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
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 → 99

Calls

4 calls:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
8.0ms	(+ (exp x) (exp (- x)))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(- (exp x) (exp (- x)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
21.0ms	(+ (exp x) (exp (- x)))
77.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	508	967
1	1773	853
2	5001	852

prune369.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(* 1/12 (pow x 4))
16.6b	(- (exp x) (exp (- x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
38×	`associate-l`
29×	`times-frac`
26×	`add-cube-cbrt`
19×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`associate-r`
8×	`pow1`
7×	`prod-exp` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`unpow-prod-down` `distribute-lft-out--` `difference-of-squares`
3×	`*-commutative` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `div-inv` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--`

Counts

4 → 112

Calls

4 calls:

13.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(* 1/12 (pow x 4))
5.0ms	(- (exp x) (exp (- x)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
76.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(* 1/12 (pow x 4))
34.0ms	(- (exp x) (exp (- x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	576	1010
1	2149	893
2	5002	889

prune484.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (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)))
16.6b	(- (exp x) (exp (- x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
12.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
19.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
5.0ms	(- (exp x) (exp (- x)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
87.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
56.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
39.0ms	(- (exp x) (exp (- x)))

simplify83.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	749	1998
1	3255	1633
2	5001	1492

prune514.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample2.6s

Algorithm: halfpoints