Details

sample56.0ms

Algorithm

intervals

Results

19.0ms	45×	body	1280	valid
11.0ms	145×	body	80	valid
10.0ms	35×	body	640	valid
3.0ms	13×	body	320	valid
3.0ms	18×	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

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	(* z (cos y))
0.2b	(* x (sin 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	(* z (cos y))
4.0ms	(* x (sin y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* z (cos y))
46.0ms	(* x (sin 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

prune131.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

series470.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
102.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))

simplify112.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (100.0ms)

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

prune316.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

12.0ms	(* z (pow (pow (cos y) 2) 1/3))
3.0ms	(* x (sin y))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series263.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* z (pow (pow (cos y) 2) 1/3))
38.0ms	(* x (sin y))
17.0ms	(pow (cos y) 2)
109.0ms	(cbrt (cos y))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	313	448
1	1150	387
2	5002	381

prune363.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (cbrt (cos y))))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `pow1/3` `log1p-expm1` `pow-exp` `unpow2` `expm1-udef` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

0.0ms	(log1p (expm1 (cbrt (cos y))))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(expm1 (cbrt (cos y)))

series555.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(log1p (expm1 (cbrt (cos y))))
17.0ms	(pow (cos y) 2)
100.0ms	(cbrt (cos y))
208.0ms	(expm1 (cbrt (cos y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	177	249
1	598	221
2	2242	214
3	5001	213

prune242.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

684.0ms	1522×	body	1280	valid
354.0ms	1274×	body	640	valid
330.0ms	4226×	body	80	valid
125.0ms	630×	body	320	valid
52.0ms	348×	body	160	valid