Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	254×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	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

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	(* 200.0 (- x y))

rewrite14.0ms

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:

10.0ms

(* 200.0 (- x y))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* 200.0 (- x y))

simplify93.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (88.0ms)

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

prune43.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 200.0 x) (* 200.0 (- 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

(+ (* 200.0 x) (* 200.0 (- y)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(+ (* 200.0 x) (* 200.0 (- y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (64.0ms)

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

prune31.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	22	1	23

Merged error: 0b

Counts

23 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 200.0 x (* 200.0 (- 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 200.0 x (* 200.0 (- y)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma 200.0 x (* 200.0 (- y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	55
1	75	46
2	314	46
3	1570	46
4	5003	46

prune22.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	1	14

Merged error: 0b

Counts

14 → 1

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

sample306.0ms

Algorithm

intervals

Results

155.0ms	7908×	body	80	valid
4.0ms	52×	body	1280	valid
3.0ms	44×	body	640	valid
2.0ms	21×	body	2560	valid
1.0ms	20×	body	320	valid
0.0ms	6×	body	160	valid