Details

sample93.0ms

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	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7

prune12.0ms

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

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:

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))
5.0ms	(- (exp x) (exp (- x)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
56.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (39.0ms)

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

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
41×	`times-frac`
38×	`associate-l`
32×	`sqrt-prod`
31×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
6×	`distribute-lft-out` `add-log-exp`
5×	`sqrt-div` `prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
3×	`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 → 117

Calls

4 calls:

6.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
19.0ms	(* (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))
5.0ms	(- (exp x) (exp (- x)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
121.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	588	1413
1	2037	1227
2	5002	1216

prune466.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x)))) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
1.0b	(* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x))))
17.0b	(- (exp x) (exp (- x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
44×	`associate-l`
43×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-cube-cbrt` `sqrt-prod`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
11×	`associate-r`
10×	`pow-prod-down`
9×	`sqrt-div` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
6×	`associate-*l/` `add-log-exp` `unswap-sqr`
4×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`frac-times` `sqrt-pow1` `pow1/2` `div-inv`
1×	`cbrt-undiv` `sub-neg` `flip3--` `sqrt-unprod` `diff-log` `div-exp` `flip--`

Counts

4 → 127

Calls

4 calls:

21.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x)))) (cos y)))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
10.0ms	(* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x))))
5.0ms	(- (exp x) (exp (- x)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x)))) (cos y)))
83.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
97.0ms	(* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x))))
40.0ms	(- (exp x) (exp (- x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	713	1666
1	2699	1527
2	5002	1523

prune585.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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

sample1.9s

Algorithm: halfpoints