Details

sample74.0ms

Algorithm

intervals

Results

29.0ms	101×	body	1280	valid
16.0ms	84×	body	640	valid
10.0ms	242×	body	80	valid
4.0ms	33×	body	320	valid
2.0ms	28×	body	160	valid

simplify44.0ms

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	139	4
4	271	4
5	520	4
6	1491	4
7	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	(* (sin x) (/ (sinh y) y))
0.0b	(/ (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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

8.0ms	(* (sin x) (/ (sinh y) y))
3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series252.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(* (sin x) (/ (sinh y) y))
90.0ms	(/ (sinh y) y)
59.0ms	(sinh y)

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	348	444
1	1367	399
2	5001	397

prune177.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

4.0ms

(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series119.0ms

Counts

1 → 3

Calls

1 calls:

118.0ms

(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify95.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	133	215
1	553	182
2	2956	182
3	5001	181

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (sin x) (sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))) (sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))
0.0b	(sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
0.0b	(sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
0.0b	(* (sin x) (sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

12.0ms	(* (* (sin x) (sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))) (sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))
1.0ms	(sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
1.0ms	(sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
5.0ms	(* (sin x) (sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))

series487.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (* (sin x) (sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))) (sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))
88.0ms	(sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
96.0ms	(sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
182.0ms	(* (sin x) (sqrt (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	303	896
1	1401	782
2	5001	764

prune269.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.7b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	2956×	body	1280	valid
469.0ms	2604×	body	640	valid
365.0ms	8522×	body	80	valid
170.0ms	1248×	body	320	valid
59.0ms	612×	body	160	valid