Details

analyze264.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

sample56.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
11.0ms	41×	body	640	valid
8.0ms	136×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	13×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

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))

rewrite13.0ms

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:

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* z (sin y))
6.0ms	(* x (cos y))

simplify59.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5163	392

prune91.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
5.6b	(cbrt (* z (sin y)))
5.6b	(cbrt (* z (sin y)))
5.6b	(cbrt (* z (sin y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5014	447

prune106.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	68	11	79

Merged error: 0.0b

Counts

79 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
5.6b	(cbrt (* z (sin y)))
5.6b	(cbrt (* z (sin y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series87.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
20.0ms	(cbrt (sin y))
23.0ms	(cbrt (* z (sin y)))
22.0ms	(cbrt (* z (sin y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4907	280
1	4907	280

prune83.0ms

Filtered

40 candidates to 52 candidates (-30.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	52	11	63

Merged error: 0.0b

Counts

63 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

5.6b	(cbrt (* z (sin y)))
5.6b	(cbrt (* z (sin y)))
5.6b	(cbrt (* z (sin y)))
5.6b	(cbrt (* z (sin y)))

rewrite14.0ms

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 (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4948	312
1	4948	312

prune62.0ms

Filtered

40 candidates to 48 candidates (-20.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	48	11	59

Merged error: 0.0b

Counts

59 → 11

regimes370.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	23
1	20	23

end0.0ms

sample1.9s

Algorithm

intervals

Results

656.0ms	1468×	body	1280	valid
351.0ms	1272×	body	640	valid
277.0ms	4272×	body	80	valid
241.0ms	338×	body	160	valid
125.0ms	650×	body	320	valid

Details

analyze264.0ms

sample56.0ms

simplify3.0ms

prune3.0ms

localize9.0ms

rewrite13.0ms

series28.0ms

simplify59.0ms

prune91.0ms

localize14.0ms

rewrite17.0ms

series103.0ms

simplify58.0ms

prune106.0ms

localize17.0ms

rewrite8.0ms

series87.0ms

simplify68.0ms

prune83.0ms

localize19.0ms

rewrite14.0ms

series93.0ms

simplify50.0ms

prune62.0ms

regimes370.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling