Details

sample10.0ms

Algorithm

intervals

Results

4.0ms	260×	body	80	valid
0.0ms	1×	body	1280	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	23	2
3	31	2
4	33	2
5	33	2

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

7.0ms

(* 500.0 (- x y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* 500.0 (- x y))

simplify97.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	190	356
1	746	220
2	3412	190
3	5002	166

prune48.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0b

Counts

50 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 500.0 x) (* 500.0 (- y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

4.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(+ (* 500.0 x) (* 500.0 (- y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	112	99
1	475	79
2	2202	76
3	5002	75

prune34.0ms

Filtered

20 candidates to 14 candidates (70.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	20	4	24

Merged error: 0b

Counts

24 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 109

Calls

4 calls:

10.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))

series541.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
138.0ms	(cbrt (- x y))
141.0ms	(cbrt (- x y))
143.0ms	(cbrt (- x y))

simplify149.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	270	790
1	950	753
2	4639	700
3	5001	694

prune268.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Merged error: 0b

Counts

125 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 500.0 (- x y))
0.0b	(sqrt (* 500.0 (- x y)))
0.0b	(sqrt (* 500.0 (- x y)))
0.3b	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
28×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`add-cube-cbrt`
20×	`associate-*r/`
18×	`prod-diff`
16×	`sqrt-div`
12×	`pow1/2`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

7.0ms	(* 500.0 (- x y))
7.0ms	(sqrt (* 500.0 (- x y)))
11.0ms	(sqrt (* 500.0 (- x y)))
13.0ms	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

series407.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 500.0 (- x y))
136.0ms	(sqrt (* 500.0 (- x y)))
142.0ms	(sqrt (* 500.0 (- x y)))
95.0ms	(* (sqrt (* 500.0 (- x y))) (sqrt (* 500.0 (- x y))))

simplify70.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	380	847
1	1824	662
2	5001	640

prune238.0ms

Filtered

147 candidates to 77 candidates (52.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	147	4	151

Merged error: 0b

Counts

151 → 4

regimes66.0ms

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	6	2
1	6	2

end0.0ms

sample255.0ms

Algorithm

intervals

Results

121.0ms	8040×	body	80	valid
1.0ms	15×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid