Details

sample96.0ms

Algorithm

intervals

Results

33.0ms	96×	body	1280	valid
17.0ms	79×	body	640	valid
15.0ms	287×	body	80	valid
6.0ms	34×	body	320	valid
3.0ms	25×	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: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

11.0ms	(/ (sinh y) y)
17.0ms	(* (sin x) (/ (sinh y) y))

series174.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ (sinh y) y)
94.0ms	(* (sin x) (/ (sinh y) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	316	404
1	1284	360
2	5001	358

prune157.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
41×	`sqrt-prod`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`sqrt-div` `associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2`
1×	`cbrt-undiv` `sinh-def` `frac-2neg` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `associate-/l/`

Counts

4 → 120

Calls

4 calls:

7.0ms	(/ (sinh y) y)
20.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
4.0ms	(sqrt (/ (sinh y) y))
4.0ms	(sqrt (/ (sinh y) y))

series408.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (sinh y) y)
175.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
76.0ms	(sqrt (/ (sinh y) y))
78.0ms	(sqrt (/ (sinh y) y))

simplify97.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	905	1232
1	3905	1108
2	5001	1063

prune446.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
37×	`add-sqr-sqrt` `times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
29×	`sqrt-prod`
19×	`associate-r`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `pow1/3` `sqrt-div`
1×	`sqrt-pow1` `pow1/2` `associate-r/` `associate-l` `-commutative`

Counts

4 → 112

Calls

4 calls:

31.0ms	(* (* (fabs (cbrt (/ (sinh y) y))) (sin x)) (sqrt (cbrt (/ (sinh y) y))))
4.0ms	(sqrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))

series689.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (* (fabs (cbrt (/ (sinh y) y))) (sin x)) (sqrt (cbrt (/ (sinh y) y))))
79.0ms	(sqrt (/ (sinh y) y))
200.0ms	(cbrt (/ (sinh y) y))
212.0ms	(cbrt (/ (sinh y) y))

simplify73.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	739	1262
1	2737	1156
2	5001	1118

prune500.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

0.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0ms	(fma 1/120 (pow y 4) 1)
10.0ms	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
81.0ms	(fma 1/120 (pow y 4) 1)
112.0ms	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify121.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	153	333
1	686	286
2	3913	286
3	5001	285

prune279.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes75.0ms

Accuracy

0% (0.0b 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	15	15
1	15	15

end0.0ms

sample2.4s

Algorithm

intervals

Results

882.0ms	2969×	body	1280	valid
472.0ms	2541×	body	640	valid
369.0ms	8617×	body	80	valid
156.0ms	1210×	body	320	valid
56.0ms	638×	body	160	valid