Details

sample10.0ms

Algorithm

intervals

Results

4.0ms	258×	body	80	valid
0.0ms	1×	body	2560	valid

simplify9.0ms

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

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	(* 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))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* 500.0 (- x y))

simplify90.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	188	356
1	730	220
2	3302	190
3	5001	166

prune35.0ms

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)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`fma-def`
11×	`associate-l`
9×	`distribute-lft-out`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`add-cube-cbrt`
3×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `distribute-rgt-out` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `unswap-sqr`

Counts

1 → 37

Calls

1 calls:

17.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify65.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	127	118
1	468	96
2	2007	93
3	5001	92

prune48.0ms

Filtered

40 candidates to 28 candidates (70.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

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

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 x 500.0 (* 500.0 (- y)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma x 500.0 (* 500.0 (- y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	28	55
1	77	46
2	312	46
3	1564	46
4	5001	46

prune19.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
0.4b	(* (sqrt 500.0) (- x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
51×	`*-un-lft-identity`
47×	`add-cube-cbrt`
28×	`associate-r`
18×	`associate-l`
16×	`sqrt-prod`
14×	`unswap-sqr`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 142

Calls

2 calls:

16.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
8.0ms	(* (sqrt 500.0) (- x y))

series164.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))
63.0ms	(* (sqrt 500.0) (- x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	385	1281
1	1711	869
2	5001	812

prune97.0ms

Filtered

148 candidates to 55 candidates (37.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	148	3	151

Merged error: 0b

Counts

151 → 3

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	13	3
2	14	3
3	14	3

end0.0ms

sample248.0ms

Algorithm

intervals

Results

124.0ms	8046×	body	80	valid
0.0ms	7×	body	1280	valid
0.0ms	5×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid