Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	338×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

prune7.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
23×	`distribute-lft-out`
20×	`add-log-exp`
10×	`add-sqr-sqrt` `fma-def` `sum-log`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-+l+` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

9.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
18.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series160.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)
62.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
40.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	402	503
1	1821	449
2	5001	430

prune210.0ms

Filtered

101 candidates to 75 candidates (74.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-log-exp`
13×	`distribute-lft-out`
9×	`fma-def` `sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`fma-udef`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
1.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))

series108.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (+ (+ y z) z) y)
27.0ms	(+ (+ y z) z)
51.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	219	266
1	795	225
2	3944	215
3	5001	211

prune138.0ms

Filtered

64 candidates to 48 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma 2 z y) y)
0.0b	(fma x (+ (+ (fma 2 z y) y) t) (* y 5.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

3.0ms	(+ (fma 2 z y) y)
1.0ms	(fma x (+ (+ (fma 2 z y) y) t) (* y 5.0))

series84.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (fma 2 z y) y)
51.0ms	(fma x (+ (+ (fma 2 z y) y) t) (* y 5.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	136	157
1	362	140
2	1362	137
3	5002	133

prune95.0ms

Filtered

34 candidates to 30 candidates (88.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ y z)) (cbrt (+ y z)))
0.5b	(cbrt (+ y z))
0.5b	(cbrt (+ y z))
0.5b	(cbrt (+ y z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

14.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))

series543.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
127.0ms	(cbrt (+ y z))
127.0ms	(cbrt (+ y z))
130.0ms	(cbrt (+ y z))

simplify141.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	256	701
1	932	660
2	4373	610
3	5001	606

prune296.0ms

Filtered

115 candidates to 83 candidates (72.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Merged error: 0.0b

Counts

120 → 5

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

sample732.0ms

Algorithm

intervals

Results

404.0ms	10608×	body	80	valid
15.0ms	88×	body	1280	valid
15.0ms	104×	body	640	valid
5.0ms	53×	body	320	valid
3.0ms	39×	body	160	valid