Details

sample81.0ms

Algorithm

intervals

Results

31.0ms	105×	body	1280	valid
14.0ms	83×	body	640	valid
12.0ms	288×	body	80	valid
6.0ms	46×	body	320	valid
2.0ms	19×	body	160	valid

simplify77.0ms

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

rewrite18.0ms

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:

8.0ms	(/ (sinh y) y)
7.0ms	(* (sin x) (/ (sinh y) y))
1.0ms	(sinh y)

series255.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (sinh y) y)
104.0ms	(* (sin x) (/ (sinh y) y))
60.0ms	(sinh y)

simplify47.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

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

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.2b	(/ (* (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)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) y)

series250.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
85.0ms	(* (sin x) (sinh y))
101.0ms	(/ (* (sin x) (sinh y)) y)

simplify37.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

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

prune112.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-undiv` `sinh-def` `div-exp` `associate-r` `*-commutative`

Counts

4 → 58

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sqrt (sin x))
2.0ms	(sqrt (sin x))
9.0ms	(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sinh y)
16.0ms	(sqrt (sin x))
22.0ms	(sqrt (sin x))
101.0ms	(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	289	393
1	1055	314
2	5001	294

prune144.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

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

sample2.4s

Algorithm

intervals

Results

1.1s	3039×	body	1280	valid
459.0ms	2497×	body	640	valid
369.0ms	8740×	body	80	valid
144.0ms	1146×	body	320	valid
60.0ms	622×	body	160	valid