Details

sample73.0ms

Algorithm

intervals

Results

28.0ms	85×	body	1280	valid
15.0ms	78×	body	640	valid
11.0ms	260×	body	80	valid
5.0ms	40×	body	320	valid
1.0ms	13×	body	160	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

8.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series101.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	271	408
1	1085	363
2	5001	351

prune178.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.1b	(/ (* (* (cosh x) (sin y)) 2) (* 2 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `associate-l` `associate-*l/`
2×	`expm1-log1p-u` `cosh-def` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l/` `associate-/l*` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

4.0ms	(* (cosh x) (sin y))
10.0ms	(/ (* (* (cosh x) (sin y)) 2) (* 2 y))

series140.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (cosh x) (sin y))
74.0ms	(/ (* (* (cosh x) (sin y)) 2) (* 2 y))

simplify55.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	345	405
1	1977	309
2	5002	287

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin y) (+ (exp (* -1 x)) (exp x)))
0.1b	(/ y (* (sin y) (+ (exp (* -1 x)) (exp x))))
0.1b	(/ 1/2 (/ y (* (sin y) (+ (exp (* -1 x)) (exp x)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
27×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`pow1`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

3 → 108

Calls

3 calls:

15.0ms	(* (sin y) (+ (exp (* -1 x)) (exp x)))
6.0ms	(/ y (* (sin y) (+ (exp (* -1 x)) (exp x))))
10.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp (* -1 x)) (exp x)))))

series217.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (sin y) (+ (exp (* -1 x)) (exp x)))
96.0ms	(/ y (* (sin y) (+ (exp (* -1 x)) (exp x))))
70.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp (* -1 x)) (exp x)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	505	1308
1	2458	1160
2	5001	1154

prune345.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin y) (+ (exp (* -1 x)) (exp x)))
0.1b	(/ 1 (* (sin y) (+ (exp (* -1 x)) (exp x))))
0.2b	(/ (/ 1/2 y) (/ 1 (* (sin y) (+ (exp (* -1 x)) (exp x)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
107×	`add-sqr-sqrt` `*-un-lft-identity`
105×	`add-cube-cbrt`
61×	`add-exp-log`
33×	`div-exp`
32×	`associate-*r/`
31×	`associate-/r/` `add-cbrt-cube`
26×	`div-inv`
16×	`flip3-+` `flip-+` `associate-/l*`
15×	`cbrt-undiv`
10×	`prod-exp` `associate-/r*`
8×	`pow1`
6×	`rec-exp` `1-exp`
4×	`associate-r` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `frac-2neg` `pow-prod-down` `clear-num`
1×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `associate-/l/` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

3 → 230

Calls

3 calls:

15.0ms	(* (sin y) (+ (exp (* -1 x)) (exp x)))
11.0ms	(/ 1 (* (sin y) (+ (exp (* -1 x)) (exp x))))
18.0ms	(/ (/ 1/2 y) (/ 1 (* (sin y) (+ (exp (* -1 x)) (exp x)))))

series188.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (sin y) (+ (exp (* -1 x)) (exp x)))
65.0ms	(/ 1 (* (sin y) (+ (exp (* -1 x)) (exp x))))
70.0ms	(/ (/ 1/2 y) (/ 1 (* (sin y) (+ (exp (* -1 x)) (exp x)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1175	3478
1	5001	3162

prune619.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

951.0ms	3076×	body	1280	valid
441.0ms	2353×	body	640	valid
375.0ms	8676×	body	80	valid
164.0ms	1275×	body	320	valid
60.0ms	671×	body	160	valid