Details

sample60.0ms

Algorithm

intervals

Results

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

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	21	5
2	25	5
3	25	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite12.0ms

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×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

4.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))
4.0ms	(* x (cos y))

series144.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x (cos y)) (* z (sin y)))
37.0ms	(* z (sin y))
38.0ms	(* x (cos y))

simplify65.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	190	289
1	696	265
2	2348	265
3	5002	261

prune167.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

8.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series434.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify103.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (97.0ms)

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

prune281.0ms

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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 46

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))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (cos y))
109.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
112.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
110.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify157.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (152.0ms)

Iter	Nodes	Cost
0	82	370
1	219	326
2	692	309
3	3535	309
4	5001	305

prune431.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

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))))

series466.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
114.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
112.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
116.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify81.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (76.0ms)

Iter	Nodes	Cost
0	52	408
1	124	356
2	361	348
3	1438	348
4	5001	344

prune254.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

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	14	12
1	14	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

708.0ms	1581×	body	1280	valid
376.0ms	1262×	body	640	valid
309.0ms	4259×	body	80	valid
116.0ms	586×	body	320	valid
49.0ms	312×	body	160	valid