Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	8	3
2	8	3

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (fabs (- x y)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

1.0ms

(sqrt (fabs (- x y)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(sqrt (fabs (- x y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 7 (26.0ms)

Iter	Nodes	Cost
0	26	64
1	30	62
2	33	62
3	38	62
4	57	62
5	111	62
6	538	62
7	1770	61
8	5001	61

prune26.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.1b	(sqrt (sqrt (fabs (- x y))))
0.1b	(sqrt (sqrt (fabs (- x y))))
0.6b	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

89×	`sqrt-prod`
56×	`add-sqr-sqrt`
41×	`sqrt-pow1`
32×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

1.0ms	(sqrt (fabs (- x y)))
2.0ms	(sqrt (sqrt (fabs (- x y))))
2.0ms	(sqrt (sqrt (fabs (- x y))))
9.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series100.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (fabs (- x y)))
41.0ms	(sqrt (sqrt (fabs (- x y))))
42.0ms	(sqrt (sqrt (fabs (- x y))))
9.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify144.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	131	718
1	513	658
2	2953	642
3	5002	627

prune143.0ms

Filtered

138 candidates to 59 candidates (42.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	138	3	141

Merged error: 0.0b

Counts

141 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.9b	(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
51×	`sqrt-prod`
48×	`cbrt-prod`
36×	`unpow-prod-down`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unswap-sqr`
16×	`associate-l`
10×	`add-exp-log`
9×	`associate-r`
6×	`pow1`
5×	`add-cbrt-cube` `sqr-pow`
4×	`pow-pow` `add-log-exp`
3×	`pow-unpow` `pow1/3` `prod-exp`
2×	`pow-to-exp` `sqrt-pow1` `pow-exp`
1×	`pow1/2` `*-commutative` `sqrt-pow2` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

10.0ms	(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
4.0ms	(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

series158.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4) (cbrt (sqrt (fabs (- x y)))))
57.0ms	(cbrt (sqrt (fabs (- x y))))
40.0ms	(cbrt (sqrt (fabs (- x y))))
53.0ms	(pow (sqrt (cbrt (sqrt (fabs (- x y))))) 4)

simplify44.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	223	1446
1	844	1268
2	5000	1098

prune217.0ms

Filtered

125 candidates to 71 candidates (56.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	4	128

Merged error: 0b

Counts

128 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (sqrt (fabs (- x y)))))
0.6b	(cbrt (sqrt (sqrt (fabs (- x y)))))
0.9b	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)
0.9b	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

60×	`sqrt-prod`
36×	`cbrt-prod`
30×	`unpow-prod-down`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `pow-pow`
6×	`add-exp-log` `pow-unpow`
4×	`sqrt-pow1` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow1/2` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

2.0ms	(cbrt (sqrt (sqrt (fabs (- x y)))))
2.0ms	(cbrt (sqrt (sqrt (fabs (- x y)))))
5.0ms	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)
5.0ms	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)

series222.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (sqrt (sqrt (fabs (- x y)))))
71.0ms	(cbrt (sqrt (sqrt (fabs (- x y)))))
60.0ms	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)
51.0ms	(pow (sqrt (cbrt (sqrt (sqrt (fabs (- x y)))))) 4)

simplify103.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	169	1102
1	488	974
2	2095	912
3	5001	906

prune244.0ms

Filtered

112 candidates to 62 candidates (55.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	112	4	116

Merged error: 0b

Counts

116 → 4

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3

end0.0ms

sample273.0ms

Algorithm

intervals

Results

142.0ms

8000×

body

valid