Details

sample86.0ms

Algorithm

intervals

Results

29.0ms	87×	body	1280	valid
18.0ms	75×	body	640	valid
17.0ms	295×	body	80	valid
5.0ms	38×	body	320	valid
3.0ms	29×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

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

series229.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
87.0ms	(* (cos x) (/ (sinh y) y))
84.0ms	(/ (sinh y) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	324	427
1	1285	383
2	5001	381

prune176.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
79×	`sqrt-prod`
70×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2` `unswap-sqr`
7×	`div-inv`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div` `pow-prod-up`
4×	`add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `sinh-def` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 168

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
2.0ms	(/ (sinh y) y)
3.0ms	(/ (sinh y) y)
23.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sqrt (/ (sinh y) y))
83.0ms	(/ (sinh y) y)
83.0ms	(/ (sinh y) y)
87.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	672	1287
1	2992	1174
2	5001	1161

prune477.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (sinh y) y))
0.0b	(sqrt (/ (sinh y) y))
0.0b	(* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
0.0b	(* (sqrt (/ (sinh y) y)) (* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

210×	`sqrt-prod`
126×	`add-sqr-sqrt`
85×	`sqrt-pow1`
74×	`times-frac`
67×	`pow1`
62×	`add-cube-cbrt` `*-un-lft-identity`
45×	`pow1/2`
39×	`pow-prod-up`
35×	`associate-l`
30×	`sqrt-div`
27×	`swap-sqr`
20×	`associate-r`
19×	`unswap-sqr`
12×	`pow-prod-down`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
7×	`div-inv`
6×	`frac-times` `associate-*r/`
4×	`rem-sqrt-square` `associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 229

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
30.0ms	(* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
49.0ms	(* (sqrt (/ (sinh y) y)) (* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sqrt (/ (sinh y) y))
77.0ms	(sqrt (/ (sinh y) y))
80.0ms	(* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y))))
87.0ms	(* (sqrt (/ (sinh y) y)) (* (sqrt (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))))

simplify107.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	857	2124
1	3567	1868
2	5001	1834

prune638.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
0.0b	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
0.1b	(* 1/120 (pow y 4))
0.2b	(* 1/6 (pow y 2))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`associate-l` `add-log-exp`
8×	`unpow-prod-down` `unswap-sqr`
7×	`prod-exp`
6×	`pow1`
4×	`sqr-pow`
3×	`sum-log` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `unpow2`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down`

Counts

4 → 87

Calls

4 calls:

39.0ms	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
10.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
6.0ms	(* 1/120 (pow y 4))
6.0ms	(* 1/6 (pow y 2))

series220.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
44.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
36.0ms	(* 1/120 (pow y 4))
24.0ms	(* 1/6 (pow y 2))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	396	612
1	1842	547
2	5001	547

prune251.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes92.0ms

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	7	4
1	7	4

end0.0ms

sample2.6s

Algorithm

intervals

Results

984.0ms	3043×	body	1280	valid
514.0ms	8444×	body	80	valid
511.0ms	2453×	body	640	valid
184.0ms	1229×	body	320	valid
64.0ms	609×	body	160	valid