Details

sample100.0ms

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

localize18.0ms

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))
15.9b	(- (exp x) (exp (- x)))

rewrite71.0ms

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:

25.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
29.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(- (exp x) (exp (- x)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))
75.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms	(- (exp x) (exp (- x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (49.0ms)

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

prune432.0ms

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	(+ (exp x) (exp (- x)))
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))
15.9b	(- (exp x) (exp (- x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
52.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
29.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(- (exp x) (exp (- x)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
120.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms	(- (exp x) (exp (- x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	605	1484
1	2098	1192
2	5003	1188

prune502.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.3b	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
15.9b	(- (exp x) (exp (- x)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
74×	`associate-l`
72×	`times-frac`
60×	`cbrt-prod`
55×	`add-cube-cbrt`
17×	`unpow-prod-down` `cube-prod`
14×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`prod-diff`
8×	`pow1` `distribute-lft-out` `unswap-sqr`
6×	`associate-r` `add-log-exp`
5×	`sqr-pow`
4×	`expm1-log1p-u` `cube-mult` `unpow3` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg`
2×	`cbrt-undiv` `cube-div` `cbrt-div` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `flip3-+` `pow1/3` `diff-log` `flip--` `rem-cbrt-cube` `flip-+`

Counts

4 → 175

Calls

4 calls:

43.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
28.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
7.0ms	(- (exp x) (exp (- x)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
21.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
40.0ms	(- (exp x) (exp (- x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	743	1879
1	2585	1617
2	5001	1610

prune685.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

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)))
15.9b	(- (exp x) (exp (- x)))

rewrite124.0ms

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:

27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
28.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
55.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
7.0ms	(- (exp x) (exp (- x)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
90.0ms	(* (/ (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)))

simplify91.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (75.0ms)

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

prune558.0ms

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	24
1	22	24

end0.0ms

sample2.0s

Algorithm: halfpoints