Details

sample45.0ms

Algorithm

intervals

Results

12.0ms	28×	body	1280	valid
10.0ms	186×	body	80	valid
7.0ms	26×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	4×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

prune4.0ms

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 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

6.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series22.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify68.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	156	201
1	579	185
2	2660	185
3	5001	185

prune56.0ms

Filtered

26 candidates to 38 candidates (-46.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	7	39

Merged error: 0.0b

Counts

39 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin 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×	`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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series78.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms	(cbrt (sin y))
17.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))

simplify118.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	161	512
1	596	460
2	3671	403
3	5002	397

prune97.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sin y) 2)
0.3b	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
0.5b	(cbrt (sin y))
14.9b	(cbrt (pow (sin y) 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

2.0ms	(pow (sin y) 2)
8.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (pow (sin y) 2))

series50.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (sin y) 2)
7.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
18.0ms	(cbrt (sin y))
22.0ms	(cbrt (pow (sin y) 2))

simplify42.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	282	461
1	1193	404
2	5001	375

prune107.0ms

Filtered

50 candidates to 78 candidates (-56.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Merged error: 0b

Counts

83 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (pow (sin y) 2)))
14.9b	(cbrt (pow (sin y) 2))
14.9b	(cbrt (pow (sin y) 2))
14.9b	(cbrt (pow (sin y) 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `unpow2` `add-log-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

3.0ms	(cbrt (cbrt (pow (sin y) 2)))
2.0ms	(cbrt (pow (sin y) 2))
2.0ms	(cbrt (pow (sin y) 2))
2.0ms	(cbrt (pow (sin y) 2))

series91.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (cbrt (pow (sin y) 2)))
25.0ms	(cbrt (pow (sin y) 2))
22.0ms	(cbrt (pow (sin y) 2))
22.0ms	(cbrt (pow (sin y) 2))

simplify71.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	157	564
1	442	518
2	1596	453
3	5001	453

prune192.0ms

Filtered

54 candidates to 79 candidates (-46.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	79	6	85

Merged error: 0b

Counts

85 → 6

regimes246.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.4s

Algorithm

intervals

Results

416.0ms	957×	body	1280	valid
315.0ms	5598×	body	80	valid
229.0ms	845×	body	640	valid
73.0ms	402×	body	320	valid
25.0ms	198×	body	160	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Details

sample45.0ms

simplify20.0ms

prune4.0ms

localize9.0ms

rewrite10.0ms

series22.0ms

simplify68.0ms

prune56.0ms

localize13.0ms

rewrite12.0ms

series78.0ms

simplify118.0ms

prune97.0ms

localize14.0ms

rewrite15.0ms

series50.0ms

simplify42.0ms

prune107.0ms

localize20.0ms

rewrite12.0ms

series91.0ms

simplify71.0ms

prune192.0ms

regimes246.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5