Details

sample53.0ms

Algorithm

intervals

Results

22.0ms	56×	body	1280	valid
8.0ms	33×	body	640	valid
7.0ms	131×	body	80	valid
4.0ms	22×	body	320	valid
2.0ms	14×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize9.0ms

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))

rewrite14.0ms

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

series145.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* x (cos y)) (* z (sin y)))
36.0ms	(* x (cos y))
41.0ms	(* z (sin y))

simplify66.0ms

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

prune165.0ms

Filtered

65 candidates to 47 candidates (72.3%)

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: 0.0b

Counts

66 → 10

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:

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

series632.0ms

Counts

4 → 12

Calls

4 calls:

347.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify109.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (103.0ms)

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

prune279.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Merged error: 0.0b

Counts

103 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

4.0ms	(* z (sin y))
10.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series193.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (sin y))
35.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
99.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	304	456
1	1308	399
2	5001	375

prune286.0ms

Filtered

92 candidates to 60 candidates (65.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	92	10	102

Merged error: 0.0b

Counts

102 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`unpow-prod-down`
15×	`add-exp-log` `associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unswap-sqr`
12×	`cbrt-prod`
9×	`associate-r`
7×	`pow1` `add-cbrt-cube` `sqr-pow`
6×	`prod-exp`
5×	`pow-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `cbrt-unprod`
2×	`pow1/3` `pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3`

Counts

4 → 101

Calls

4 calls:

4.0ms	(* z (sin y))
9.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series158.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (sin y))
6.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
22.0ms	(pow (cos y) 2)
95.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	326	636
1	1223	567
2	5001	525

prune344.0ms

Filtered

113 candidates to 79 candidates (69.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	112	11	123

Merged error: 0.0b

Counts

123 → 11

regimes189.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

612.0ms	1497×	body	1280	valid
328.0ms	1267×	body	640	valid
232.0ms	4256×	body	80	valid
115.0ms	657×	body	320	valid
38.0ms	323×	body	160	valid