Details

sample60.0ms

Algorithm

intervals

Results

23.0ms	51×	body	1280	valid
11.0ms	39×	body	640	valid
10.0ms	138×	body	80	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune3.0ms

Pruning

1 alts after pruning (1 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	(* z (sin y))
0.1b	(* x (cos 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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

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

series147.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (* x (cos y)) (* z (sin y)))
37.0ms	(* z (sin y))
41.0ms	(* x (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune140.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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×	`add-cbrt-cube` `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 → 73

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))

series469.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	352

prune262.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt (cos y))
3.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
3.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
3.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (cos y))
117.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
116.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
120.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify152.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 4 (148.0ms)

Iter	Nodes	Cost
0	76	322
1	205	278
2	660	261
3	3312	261
4	5003	260

prune208.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
3.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
3.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
3.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series476.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
116.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
122.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
118.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify82.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	49	352
1	118	300
2	344	292
3	1330	292
4	5002	292

prune211.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

738.0ms	1581×	body	1280	valid
378.0ms	1262×	body	640	valid
322.0ms	4259×	body	80	valid
125.0ms	586×	body	320	valid
50.0ms	312×	body	160	valid