Details

sample68.0ms

Algorithm

intervals

Results

23.0ms	83×	body	1280	valid
14.0ms	81×	body	640	valid
11.0ms	259×	body	80	valid
4.0ms	34×	body	320	valid
1.0ms	15×	body	160	valid

simplify76.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series254.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (sinh y) y)
63.0ms	(sinh y)
103.0ms	(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5001	382

prune192.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
32×	`associate-r`
28×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `associate-*l/`

Counts

4 → 124

Calls

4 calls:

4.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)
12.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
8.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (sinh y) y)
87.0ms	(/ (sinh y) y)
126.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
186.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify121.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	897	1256
1	4491	1110
2	5001	1102

prune435.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.9b	(/ (* (sin x) (sinh y)) y)

rewrite12.0ms

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×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `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 → 49

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) y)

series240.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
83.0ms	(* (sin x) (sinh y))
98.0ms	(/ (* (sin x) (sinh y)) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	279	320
1	1233	272
2	5001	255

prune123.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (/ (sinh y) y))
0.1b	(exp (* (sin x) (/ (sinh y) y)))
2.5b	(log (exp (* (sin x) (/ (sinh y) y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `add-log-exp`
3×	`log-prod` `associate-l` `associate-/r` `log-pow` `associate-/l`
2×	`cbrt-undiv` `exp-prod` `exp-to-pow` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `-commutative` `rem-exp-log` `associate-/l/`

Counts

4 → 84

Calls

4 calls:

4.0ms	(/ (sinh y) y)
7.0ms	(* (sin x) (/ (sinh y) y))
2.0ms	(exp (* (sin x) (/ (sinh y) y)))
2.0ms	(log (exp (* (sin x) (/ (sinh y) y))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (sinh y) y)
99.0ms	(* (sin x) (/ (sinh y) y))
108.0ms	(exp (* (sin x) (/ (sinh y) y)))
102.0ms	(log (exp (* (sin x) (/ (sinh y) y))))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	465	660
1	1911	586
2	5002	586

prune453.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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	10	9
1	10	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

903.0ms	3016×	body	1280	valid
452.0ms	2474×	body	640	valid
371.0ms	8567×	body	80	valid
151.0ms	1201×	body	320	valid
54.0ms	609×	body	160	valid