Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	49×	body	1280	valid
9.0ms	35×	body	640	valid
8.0ms	145×	body	80	valid
3.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (cos y) (* z (sin y)))
0.1b	(* z (sin y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (cos y) (* z (sin y)))
4.0ms	(* z (sin y))

series107.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(fma x (cos y) (* z (sin y)))
36.0ms	(* z (sin y))

simplify53.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	149
1	279	130
2	726	130
3	1552	130
4	5002	130

prune101.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.1b	(* z (sin y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

3.0ms	(+ (* x (cos y)) (* z (sin y)))
3.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series138.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x (cos y)) (* z (sin y)))
38.0ms	(* x (cos y))
37.0ms	(* z (sin y))

simplify79.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	195	268
1	748	244
2	2510	244
3	5003	243

prune163.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series454.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify107.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune297.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

3.0ms	(* z (sin y))
17.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series195.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (sin y))
40.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
100.0ms	(cbrt (cos y))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	304	456
1	1308	399
2	5001	375

prune273.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

620.0ms	1515×	body	1280	valid
314.0ms	1240×	body	640	valid
238.0ms	4320×	body	80	valid
113.0ms	618×	body	320	valid
37.0ms	307×	body	160	valid