Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	47×	body	1280	valid
11.0ms	44×	body	640	valid
7.0ms	139×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.2b

Counts

2 → 1

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
10×	`associate-l`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r` `unswap-sqr`
5×	`add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 56

Calls

3 calls:

21.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
7.0ms	(* z (sin y))

series160.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- (* x (cos y)) (* z (sin y)))
39.0ms	(* x (cos y))
43.0ms	(* z (sin y))

simplify135.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	186	338
1	641	317
2	1884	317
3	4329	317
4	5001	317

prune138.0ms

Filtered

65 candidates to 44 candidates (32.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	55	10	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	10	66

Merged error: 0.1b

Counts

66 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series763.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt z) (cbrt z))
187.0ms	(cbrt z)
187.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify90.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune223.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	86	12	98

Merged error: 0.0b

Counts

98 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series433.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
102.0ms	(cbrt (sin y))
108.0ms	(cbrt (sin y))
102.0ms	(cbrt (sin y))

simplify95.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	163	490
1	595	417
2	3517	375
3	5001	369

prune218.0ms

Filtered

88 candidates to 60 candidates (31.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	89	11	100

Merged error: 0.0b

Counts

100 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (cbrt (sin y)))
10.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (sin y))
109.0ms	(cbrt (sin y))
102.0ms	(cbrt (cbrt (sin y)))
120.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	201	632
1	556	602
2	2483	558
3	5002	558

prune226.0ms

Filtered

83 candidates to 60 candidates (27.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

regimes140.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	12
1	14	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

627.0ms	1510×	body	1280	valid
335.0ms	1301×	body	640	valid
239.0ms	4241×	body	80	valid
104.0ms	618×	body	320	valid
44.0ms	330×	body	160	valid