Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	299×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

6.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* z 5.0))

series57.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
32.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify123.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune61.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* x y) (* z (+ x 5.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

6.0ms	(* z (+ x 5.0))
4.0ms	(+ (* x y) (* z (+ x 5.0)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* z (+ x 5.0))
28.0ms	(+ (* x y) (* z (+ x 5.0)))

simplify134.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	209	182
1	941	168
2	4786	168
3	5001	168

prune69.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	41	4	45

Merged error: 0.0b

Counts

45 → 4

localize10.0ms

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`
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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series742.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt z) (cbrt z))
183.0ms	(cbrt z)
174.0ms	(cbrt z)
180.0ms	(cbrt z)

simplify93.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune188.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 5.0))
0.0b	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.3b	(* z (sqrt (+ x 5.0)))
0.3b	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 82

Calls

4 calls:

3.0ms	(sqrt (+ x 5.0))
4.0ms	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
7.0ms	(* z (sqrt (+ x 5.0)))
12.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ x 5.0))
28.0ms	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
58.0ms	(* z (sqrt (+ x 5.0)))
31.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	405	639
1	1847	541
2	5003	528

prune163.0ms

Filtered

94 candidates to 60 candidates (63.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample491.0ms

Algorithm

intervals

Results

253.0ms	9792×	body	80	valid
13.0ms	111×	body	640	valid
11.0ms	99×	body	1280	valid
4.0ms	59×	body	320	valid
2.0ms	46×	body	160	valid