Details

sample53.0ms

Algorithm

intervals

Results

22.0ms	55×	body	1280	valid
11.0ms	45×	body	640	valid
7.0ms	132×	body	80	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

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

prune2.0ms

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

localize10.0ms

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))

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`
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:

69.0ms	(- (* x (cos y)) (* z (sin y)))
34.0ms	(* x (cos y))
41.0ms	(* z (sin y))

simplify65.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (60.0ms)

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

prune156.0ms

Filtered

65 candidates to 47 candidates (72.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	9	66

Merged error: 0.0b

Counts

66 → 9

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x (cos y) (- (* z (sin y))))
4.0ms	(* z (sin y))

series107.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(fma x (cos y) (- (* z (sin y))))
36.0ms	(* z (sin y))

simplify64.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	89	163
1	296	142
2	778	142
3	1971	142
4	5001	142

prune93.0ms

Filtered

36 candidates to 28 candidates (77.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	36	9	45

Merged error: 0.0b

Counts

45 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series452.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify105.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (99.0ms)

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

prune250.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	6	7
Picked	0	1	1
Done	1	0	1
Total	92	10	102

Merged error: 0.0b

Counts

102 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

4.0ms	(* z (sin y))
9.0ms	(* x (pow (pow (cos y) 2) 1/3))
1.0ms	(cbrt (cos y))
3.0ms	(pow (cos y) 2)

series247.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (sin y))
94.0ms	(* x (pow (pow (cos y) 2) 1/3))
97.0ms	(cbrt (cos y))
21.0ms	(pow (cos y) 2)

simplify40.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	313	451
1	1144	389
2	5002	383

prune260.0ms

Filtered

103 candidates to 69 candidates (67.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	103	10	113

Merged error: 0.0b

Counts

113 → 10

regimes170.0ms

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	17	10
1	17	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

726.0ms	1417×	body	1280	valid
328.0ms	1257×	body	640	valid
238.0ms	4417×	body	80	valid
105.0ms	623×	body	320	valid
34.0ms	286×	body	160	valid