Details

sample60.0ms

Algorithm

intervals

Results

22.0ms	52×	body	1280	valid
14.0ms	38×	body	640	valid
8.0ms	132×	body	80	valid
4.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	11	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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))
0.1b	(* x (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`
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 (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))
5.0ms	(* x (sin y))

series168.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* x (sin y)) (* z (cos y)))
44.0ms	(* z (cos y))
42.0ms	(* x (sin y))

simplify81.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune152.0ms

Filtered

56 candidates to 40 candidates (71.4%)

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:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos 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`
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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series517.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
118.0ms	(cbrt (cos y))
108.0ms	(cbrt (cos y))
110.0ms	(cbrt (cos y))

simplify113.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune253.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite25.0ms

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×	`associate-l` `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 → 72

Calls

4 calls:

4.0ms	(* x (sin y))
14.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series222.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* x (sin y))
40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
113.0ms	(cbrt (cos y))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	294	422
1	1280	367
2	5001	350

prune240.0ms

Filtered

84 candidates to 52 candidates (61.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.4b	(cbrt (cos y))
0.7b	(log (exp (pow (cos y) 2)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`log-pow`
8×	`pow1` `exp-prod` `add-cbrt-cube`
7×	`prod-exp`
6×	`cbrt-prod` `unpow-prod-down` `associate-r`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 72

Calls

4 calls:

15.0ms	(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
4.0ms	(log (exp (pow (cos y) 2)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
113.0ms	(cbrt (cos y))
19.0ms	(log (exp (pow (cos y) 2)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	262	464
1	1122	378
2	5001	343

prune252.0ms

Filtered

84 candidates to 58 candidates (69.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

regimes131.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

637.0ms	1437×	body	1280	valid
337.0ms	1277×	body	640	valid
268.0ms	4344×	body	80	valid
108.0ms	610×	body	320	valid
41.0ms	332×	body	160	valid