Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	276×	body	80	valid
7.0ms	289×	body	80	nan

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	5
1	51	4
2	86	4
3	126	4
4	151	4
5	169	4
6	185	4
7	187	4
8	187	4

prune6.0ms

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (sqrt z) y x)

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(fma (sqrt z) y x)

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (59.0ms)

Iter	Nodes	Cost
0	70	58
1	176	50
2	528	50
3	1813	46
4	5001	43

prune43.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (sqrt z) y) x)
0.2b	(* (sqrt z) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`fma-def`
13×	`-un-lft-identity` `associate-l*`
9×	`add-cube-cbrt`
8×	`sqrt-prod`
6×	`associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

2 → 55

Calls

2 calls:

10.0ms	(+ (* (sqrt z) y) x)
5.0ms	(* (sqrt z) y)

series110.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (* (sqrt z) y) x)
51.0ms	(* (sqrt z) y)

simplify105.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	240	212
1	811	189
2	3399	183
3	5001	180

prune153.0ms

Filtered

61 candidates to 46 candidates (75.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	57	8	65

Merged error: 0.0b

Counts

65 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* (sqrt (sqrt z)) y)
0.4b	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

74×	`sqrt-prod`
69×	`add-sqr-sqrt`
27×	`associate-l` `unswap-sqr`
26×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`

Counts

4 → 127

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
6.0ms	(* (sqrt (sqrt z)) y)
16.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

series430.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (sqrt z))
131.0ms	(sqrt (sqrt z))
118.0ms	(* (sqrt (sqrt z)) y)
50.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	370	854
1	1380	703
2	5001	663

prune314.0ms

Filtered

139 candidates to 83 candidates (59.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	6	0	6
Picked	1	0	1
Done	0	1	1
Total	142	5	147

Merged error: 0b

Counts

147 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 z) -1/4)
0.1b	(sqrt (sqrt z))
0.3b	(* (sqrt (sqrt z)) y)
0.4b	(* (pow (/ 1 z) -1/4) (* (sqrt (sqrt z)) y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt`
49×	`sqrt-prod`
41×	`add-exp-log` `unswap-sqr`
38×	`unpow-prod-down`
35×	`-un-lft-identity` `associate-l*`
31×	`add-cube-cbrt`
26×	`times-frac` `associate-r`
19×	`prod-exp`
15×	`pow1`
12×	`pow-exp`
11×	`add-cbrt-cube`
6×	`div-exp` `sqr-pow`
4×	`expm1-log1p-u` `sqrt-pow1` `pow-prod-down` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `div-inv`
1×	`pow-flip` `inv-pow`

Counts

4 → 166

Calls

4 calls:

6.0ms	(pow (/ 1 z) -1/4)
2.0ms	(sqrt (sqrt z))
6.0ms	(* (sqrt (sqrt z)) y)
22.0ms	(* (pow (/ 1 z) -1/4) (* (sqrt (sqrt z)) y))

series563.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow (/ 1 z) -1/4)
141.0ms	(sqrt (sqrt z))
120.0ms	(* (sqrt (sqrt z)) y)
127.0ms	(* (pow (/ 1 z) -1/4) (* (sqrt (sqrt z)) y))

simplify88.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	697	1276
1	2872	1199
2	5001	1182

prune418.0ms

Filtered

178 candidates to 104 candidates (58.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	178	5	183

Merged error: 0b

Counts

183 → 5

regimes112.0ms

Accuracy

0% (0.1b 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	13	5
1	13	5

end0.0ms

sample808.0ms

Algorithm

intervals

Results

234.0ms	8519×	body	80	valid
220.0ms	8639×	body	80	nan
0.0ms	1×	body	640	valid