Details

sample55.0ms

Algorithm

intervals

Results

14.0ms	50×	body	1280	valid
14.0ms	336×	body	80	valid
9.0ms	48×	body	640	valid
4.0ms	33×	body	320	valid
2.0ms	24×	body	160	valid

simplify47.0ms

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	144	4
4	278	4
5	517	4
6	1455	4
7	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.4b	(/ (* (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×	`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:

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

series237.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(sinh y)
83.0ms	(* (sin x) (sinh y))
97.0ms	(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255

prune190.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:

1.0ms	(sinh y)
5.0ms	(/ (sinh y) x)
16.0ms	(* (sin x) (/ (sinh y) x))

series232.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
73.0ms	(/ (sinh y) x)
97.0ms	(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	328	433
1	1261	387
2	5001	385

prune162.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.9b	(/ (sin x) (/ x (sinh y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

2.0ms	(/ x (sinh y))
0.0ms	(sinh y)
6.0ms	(/ (sin x) (/ x (sinh y)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(/ x (sinh y))
59.0ms	(sinh y)
92.0ms	(/ (sin x) (/ x (sinh y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	475	938
1	1984	886
2	5001	865

prune304.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

1.0ms	(sinh y)
16.0ms	(* (/ (sin x) x) (sinh y))
5.0ms	(/ (sin x) x)

series249.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(sinh y)
125.0ms	(* (/ (sin x) x) (sinh y))
38.0ms	(/ (sin x) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	311	427
1	1229	381
2	5001	358

prune192.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample1.8s

Algorithm

intervals

Results

530.0ms	1896×	body	1280	valid
414.0ms	10277×	body	80	valid
356.0ms	1901×	body	640	valid
146.0ms	1130×	body	320	valid
53.0ms	616×	body	160	valid