Details

sample54.0ms

Algorithm

intervals

Results

19.0ms	48×	body	1280	valid
12.0ms	39×	body	640	valid
8.0ms	142×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	8×	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

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

series78.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (sin y))
36.0ms	(* z (cos y))

simplify96.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	157
1	443	137
2	1041	137
3	1583	137
4	3679	137
5	5001	137

prune123.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite11.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series418.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
98.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
103.0ms	(cbrt (sin y))

simplify98.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune297.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
7.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series545.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))
234.0ms	(cbrt (sin y))
114.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify115.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (110.0ms)

Iter	Nodes	Cost
0	117	306
1	257	278
2	788	267
3	2999	267
4	5001	264

prune264.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin y) 2)
0.3b	(* (* x (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
16.9b	(pow (pow (sin y) 2) 1/3)

rewrite26.0ms

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:

2.0ms	(pow (sin y) 2)
18.0ms	(* (* x (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
3.0ms	(pow (pow (sin y) 2) 1/3)

series276.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (sin y) 2)
38.0ms	(* (* x (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
121.0ms	(pow (pow (sin y) 2) 1/3)

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	373	519
1	1490	446
2	5002	422

prune273.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

628.0ms	1521×	body	1280	valid
313.0ms	1211×	body	640	valid
235.0ms	4350×	body	80	valid
106.0ms	595×	body	320	valid
39.0ms	323×	body	160	valid