Details

sample58.0ms

Algorithm

intervals

Results

22.0ms	56×	body	1280	valid
12.0ms	47×	body	640	valid
7.0ms	124×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.2b	(* z (cos y))

rewrite10.0ms

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 (sin y) (* z (cos y)))
9.0ms	(* z (cos y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(fma x (sin y) (* z (cos y)))
38.0ms	(* z (cos y))

simplify53.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	85	150
1	280	130
2	715	130
3	1541	130
4	5001	130

prune101.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series432.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
91.0ms	(cbrt (cos y))
90.0ms	(cbrt (cos y))
95.0ms	(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

prune308.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
5.0ms	(pow (pow (cos y) 2) 1/3)
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series300.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
156.0ms	(pow (pow (cos y) 2) 1/3)
15.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	323	510
1	1357	436
2	5001	412

prune316.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cos y) 2)
0.3b	(pow (cos y) 2)
0.3b	(* (pow (pow (cos y) 2) 1/6) (pow (pow (cos y) 2) 1/6))
0.3b	(cbrt (cos y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

110×	`unpow-prod-down`
57×	`add-sqr-sqrt`
42×	`pow-exp`
36×	`add-exp-log` `unswap-sqr`
34×	`sqr-pow`
25×	`prod-exp`
22×	`pow-to-exp`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unpow2`
12×	`swap-sqr` `associate-r` `associate-l`
6×	`pow1` `pow-unpow` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`pow-pow`
1×	`pow2` `pow1/3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 165

Calls

4 calls:

5.0ms	(pow (cos y) 2)
3.0ms	(pow (cos y) 2)
40.0ms	(* (pow (pow (cos y) 2) 1/6) (pow (pow (cos y) 2) 1/6))
1.0ms	(cbrt (cos y))

series280.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(pow (cos y) 2)
15.0ms	(pow (cos y) 2)
155.0ms	(* (pow (pow (cos y) 2) 1/6) (pow (pow (cos y) 2) 1/6))
95.0ms	(cbrt (cos y))

simplify52.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	333	1143
1	1409	929
2	5001	884

prune439.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes142.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.6s

Algorithm

intervals

Results

629.0ms	1536×	body	1280	valid
320.0ms	1275×	body	640	valid
219.0ms	4221×	body	80	valid
107.0ms	648×	body	320	valid
37.0ms	320×	body	160	valid