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

prune4.0ms

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)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(sqrt (fabs (- x y)))

simplify92.0ms

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	1776	61
8	5001	61

prune20.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

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))))
0.5b	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite20.0ms

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)))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (fabs (- x y)))
43.0ms	(sqrt (sqrt (fabs (- x y))))
41.0ms	(sqrt (sqrt (fabs (- x y))))
9.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify136.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	131	718
1	513	658
2	2935	642
3	5002	627

prune131.0ms

Filtered

138 candidates to 59 candidates (42.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Merged error: 0b

Counts

140 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.5b	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
0.6b	(cbrt (fabs (- x y)))
0.6b	(cbrt (fabs (- x y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

78×	`sqrt-prod`
70×	`add-sqr-sqrt`
41×	`associate-r`
30×	`unswap-sqr`
19×	`add-cube-cbrt` `*-un-lft-identity`
17×	`cbrt-prod`
15×	`associate-l`
13×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative`
2×	`pow1/2` `pow1/3` `prod-exp` `cbrt-unprod`
1×	`sqrt-unprod`

Counts

4 → 110

Calls

4 calls:

5.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
16.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
1.0ms	(cbrt (fabs (- x y)))
1.0ms	(cbrt (fabs (- x y)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
62.0ms	(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
40.0ms	(cbrt (fabs (- x y)))
43.0ms	(cbrt (fabs (- x y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	228	1769
1	848	1703
2	2384	1691
3	5001	1683

prune244.0ms

Filtered

122 candidates to 73 candidates (59.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	123	3	126

Merged error: 0b

Counts

126 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.6b	(cbrt (fabs (- x y)))
0.6b	(cbrt (fabs (- x y)))
0.6b	(cbrt (fabs (- x y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`sqrt-prod`
27×	`cbrt-prod`
19×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-pow1`
11×	`swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
8×	`pow1/2`
6×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`pow-prod-down` `pow-sqr` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

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

series171.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sqrt (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
44.0ms	(cbrt (fabs (- x y)))
40.0ms	(cbrt (fabs (- x y)))
45.0ms	(cbrt (fabs (- x y)))

simplify146.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	128	705
1	504	629
2	3368	598
3	5001	577

prune213.0ms

Filtered

111 candidates to 61 candidates (55.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Merged error: 0b

Counts

114 → 3

regimes88.0ms

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

sample262.0ms

Algorithm

intervals

Results

134.0ms

8000×

body

valid