Details

sample70.0ms

Algorithm

intervals

Results

26.0ms	102×	body	1280	valid
14.0ms	89×	body	640	valid
9.0ms	267×	body	80	valid
4.0ms	29×	body	320	valid
1.0ms	17×	body	160	valid

simplify72.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

16.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)
7.0ms	(/ (sinh y) y)

series241.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* (cos x) (/ (sinh y) y))
55.0ms	(sinh y)
100.0ms	(/ (sinh y) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (37.0ms)

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

prune163.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
16×	`associate-r`
13×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
9×	`pow1`
6×	`associate-/r` `associate-/l`
4×	`sqrt-div` `add-log-exp`
3×	`sinh-def` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

4 → 98

Calls

4 calls:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) y)
7.0ms	(/ (sinh y) y)
47.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sinh y)
76.0ms	(/ (sinh y) y)
77.0ms	(/ (sinh y) y)
127.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	587	836
1	2657	732
2	5001	728

prune309.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(cbrt (/ (sinh y) y))
0.0b	(cbrt (/ (sinh y) y))
0.0b	(* (* (cos x) (* (sqrt (/ (sinh y) y)) (fabs (cbrt (/ (sinh y) y))))) (sqrt (cbrt (/ (sinh y) y))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
16×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`cbrt-div` `sqrt-div` `div-inv` `add-log-exp`
3×	`associate-r/` `associate-l/` `associate-/r` `associate-/l`
2×	`pow1/3`
1×	`cbrt-undiv` `frac-times` `sinh-def` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 112

Calls

4 calls:

7.0ms	(/ (sinh y) y)
3.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
122.0ms	(* (* (cos x) (* (sqrt (/ (sinh y) y)) (fabs (cbrt (/ (sinh y) y))))) (sqrt (cbrt (/ (sinh y) y))))

series793.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ (sinh y) y)
189.0ms	(cbrt (/ (sinh y) y))
192.0ms	(cbrt (/ (sinh y) y))
335.0ms	(* (* (cos x) (* (sqrt (/ (sinh y) y)) (fabs (cbrt (/ (sinh y) y))))) (sqrt (cbrt (/ (sinh y) y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	796	1601
1	3616	1477
2	5001	1455

prune470.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(cbrt (/ (sinh y) y))
0.0b	(* (* (cos x) (* (sqrt (/ (sinh y) y)) (fabs (cbrt (/ (sinh y) y))))) (sqrt (cbrt (sqrt (/ (sinh y) y)))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
32×	`sqrt-prod`
29×	`cbrt-prod`
22×	`associate-r`
17×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
6×	`sqrt-div` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`cbrt-div` `associate-r/` `associate-l/`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`frac-times` `pow1/3` `associate-l` `*-commutative`

Counts

4 → 121

Calls

4 calls:

7.0ms	(/ (sinh y) y)
7.0ms	(/ (sinh y) y)
2.0ms	(cbrt (/ (sinh y) y))
128.0ms	(* (* (cos x) (* (sqrt (/ (sinh y) y)) (fabs (cbrt (/ (sinh y) y))))) (sqrt (cbrt (sqrt (/ (sinh y) y)))))

series2.3s

Counts

4 → 12

Calls

4 calls:

287.0ms	(/ (sinh y) y)
84.0ms	(/ (sinh y) y)
201.0ms	(cbrt (/ (sinh y) y))
1.7s	(* (* (cos x) (* (sqrt (/ (sinh y) y)) (fabs (cbrt (/ (sinh y) y))))) (sqrt (cbrt (sqrt (/ (sinh y) y)))))

simplify104.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	2146	3754
1	5001	3706

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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	18	22
1	18	22

end0.0ms

sample2.1s

Algorithm

intervals

Results

773.0ms	2905×	body	1280	valid
410.0ms	2473×	body	640	valid
314.0ms	8603×	body	80	valid
138.0ms	1236×	body	320	valid
47.0ms	621×	body	160	valid