Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

303×

body

valid

simplify125.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	21	3
2	49	3
3	73	3
4	77	3
5	89	3
6	109	3
7	153	3
8	264	3
9	538	3
10	627	3
11	835	3
12	1156	3
13	1609	3
14	2088	3
15	2831	3
16	5001	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 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `prod-diff`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

6.0ms	(- (* (+ x 1.0) y) x)
6.0ms	(* (+ x 1.0) y)

series48.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(- (* (+ x 1.0) y) x)
29.0ms	(* (+ x 1.0) y)

simplify129.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	194	202
1	893	173
2	4898	169
3	5001	169

prune65.0ms

Filtered

47 candidates to 34 candidates (72.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Merged error: 0b

Counts

48 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma 1.0 y (* x y)) x)
0.0b	(fma 1.0 y (* x y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

4.0ms	(- (fma 1.0 y (* x y)) x)
1.0ms	(fma 1.0 y (* x y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (fma 1.0 y (* x y)) x)
37.0ms	(fma 1.0 y (* x y))

simplify93.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	132	287
1	484	206
2	3050	195
3	5001	176

prune58.0ms

Filtered

45 candidates to 29 candidates (64.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Merged error: 0b

Counts

47 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) y)
0.0b	(sqrt (* (+ x 1.0) y))
0.0b	(sqrt (* (+ x 1.0) y))
0.2b	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

6.0ms	(* (+ x 1.0) y)
4.0ms	(sqrt (* (+ x 1.0) y))
4.0ms	(sqrt (* (+ x 1.0) y))
13.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ x 1.0) y)
91.0ms	(sqrt (* (+ x 1.0) y))
283.0ms	(sqrt (* (+ x 1.0) y))
66.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	277	542
1	1265	488
2	5001	468

prune185.0ms

Filtered

124 candidates to 79 candidates (63.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	124	2	126

Merged error: 0b

Counts

126 → 2

regimes42.0ms

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	7	3
1	7	3

end0.0ms

sample311.0ms

Algorithm

intervals

Results

167.0ms	9123×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid