Details

sample116.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

30.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
6.0ms	(+ (exp x) (exp (- x)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))

simplify165.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	286	487
1	1053	428
2	4913	426
3	5001	426

prune162.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

26.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))
6.0ms	(+ (exp x) (exp (- x)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (cos y) (/ (+ (exp x) (exp (- x))) 2.0))
25.0ms	(+ (exp x) (exp (- x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	302	482
1	1327	423
2	5002	421

prune159.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
60×	`cbrt-prod`
58×	`add-sqr-sqrt`
56×	`times-frac`
55×	`associate-l`
42×	`add-cube-cbrt`
21×	`unpow-prod-down` `cube-prod`
11×	`distribute-lft-out`
10×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp` `unswap-sqr` `sqr-pow`
5×	`cube-mult` `unpow3`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `flip3-+` `associate-r` `flip-+`
2×	`cbrt-div` `prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `sum-log` `-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 153

Calls

4 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
47.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
7.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
7.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

series150.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
59.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
21.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
49.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)

simplify59.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	487	1448
1	1824	1334
2	5001	1318

prune428.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp -1) (* 2 x))
0.0b	(pow (exp x) 3)
0.1b	(pow (exp (* -1 x)) 3)
18.1b	(- (exp x) (exp (* -1 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
11×	`pow-pow`
9×	`unpow-prod-down` `prod-diff`
7×	`pow1` `pow-unpow` `exp-prod` `add-log-exp`
6×	`cube-prod` `add-cbrt-cube`
4×	`add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-to-exp` `fma-neg` `pow-exp` `sqr-pow`
2×	`cube-mult` `unpow3` `rem-cube-cbrt`
1×	`cube-div` `exp-neg` `sub-neg` `flip3--` `exp-to-pow` `mul-1-neg` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

2.0ms	(pow (exp -1) (* 2 x))
2.0ms	(pow (exp x) 3)
2.0ms	(pow (exp (* -1 x)) 3)
6.0ms	(- (exp x) (exp (* -1 x)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp -1) (* 2 x))
29.0ms	(pow (exp x) 3)
25.0ms	(pow (exp (* -1 x)) 3)
32.0ms	(- (exp x) (exp (* -1 x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	362	541
1	1752	441
2	5001	393

prune398.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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	12	7
1	12	7

end0.0ms

sample2.3s

Algorithm: halfpoints