Details

sample60.0ms

Algorithm

intervals

Results

18.0ms	63×	body	1280	valid
13.0ms	345×	body	80	valid
11.0ms	61×	body	640	valid
4.0ms	35×	body	320	valid
1.0ms	18×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	146	4
4	292	4
5	556	4
6	1543	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.1b	(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series287.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(sinh y)
93.0ms	(* (sin x) (sinh y))
97.0ms	(/ (* (sin x) (sinh y)) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	292	340
1	1273	291
2	5001	273

prune141.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) x)
0.0b	(sinh y)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

3.0ms	(/ (sinh y) x)
0.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) x))

series228.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (sinh y) x)
62.0ms	(sinh y)
92.0ms	(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	342	450
1	1303	402
2	5001	400

prune192.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sinh y) (/ 1 x))
0.4b	(* (sin x) (* (sinh y) (/ 1 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 78

Calls

3 calls:

1.0ms	(sinh y)
12.0ms	(* (sinh y) (/ 1 x))
14.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
93.0ms	(* (sinh y) (/ 1 x))
114.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	421	485
1	1597	398
2	5002	357

prune212.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
0.0b	(sinh y)
0.1b	(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
0.2b	(* (sin x) (/ 1 x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-exp-log`
59×	`add-cbrt-cube`
50×	`prod-exp`
28×	`cbrt-unprod`
21×	`add-sqr-sqrt` `div-exp`
18×	`pow1`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
13×	`associate-*r/`
12×	`cbrt-undiv`
9×	`pow-prod-down`
7×	`sinh-def`
5×	`rec-exp` `1-exp` `un-div-inv` `associate-/l/`
4×	`expm1-log1p-u` `frac-times` `associate-l` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 127

Calls

4 calls:

22.0ms	(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
1.0ms	(sinh y)
20.0ms	(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
9.0ms	(* (sin x) (/ 1 x))

series294.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (* (* (sin x) (/ 1 x)) (* 2 (sinh y))) 2)
68.0ms	(sinh y)
97.0ms	(* (* (sin x) (/ 1 x)) (* 2 (sinh y)))
28.0ms	(* (sin x) (/ 1 x))

simplify86.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	666	995
1	3467	726
2	5001	697

prune270.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample1.9s

Algorithm

intervals

Results

548.0ms	1899×	body	1280	valid
429.0ms	10307×	body	80	valid
376.0ms	2028×	body	640	valid
151.0ms	1168×	body	320	valid
50.0ms	577×	body	160	valid