Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

455×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	18	5
1	46	4
2	77	4
3	87	3
4	87	3

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* x 2.0) y))
0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
64×	`associate-l`
48×	`distribute-lft-out`
29×	`fma-def`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`add-log-exp`
7×	`associate-r`
4×	`sum-log`
3×	`+-commutative` `swap-sqr` `*-commutative`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`unswap-sqr`

Counts

2 → 83

Calls

2 calls:

23.0ms	(+ (* x x) (* (* x 2.0) y))
41.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series81.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* x x) (* (* x 2.0) y))
34.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	232	357
1	1131	298
2	5001	256

prune172.0ms

Filtered

89 candidates to 52 candidates (58.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	89	2	91

Merged error: 0b

Counts

91 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (* (fma 2.0 x y) y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`fma-def`
14×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`associate-l`
6×	`add-cube-cbrt`
4×	`distribute-lft-out`
3×	`swap-sqr` `associate-r` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `*-commutative` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

16.0ms

(+ (* x x) (* (fma 2.0 x y) y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+ (* x x) (* (fma 2.0 x y) y))

simplify97.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	120	123
1	501	104
2	2393	98
3	5001	98

prune85.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	36	1	37

Merged error: 0b

Counts

37 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

16.2b	(sqrt (* x x))
16.2b	(sqrt (* x x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
26×	`add-sqr-sqrt`
18×	`pow1`
12×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1`
10×	`rem-sqrt-square`
8×	`swap-sqr`
6×	`associate-r` `associate-l`
4×	`*-commutative` `unswap-sqr`
2×	`add-exp-log` `pow2` `expm1-log1p-u` `pow-plus` `pow1/2` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

2 → 72

Calls

2 calls:

5.0ms	(sqrt (* x x))
6.0ms	(sqrt (* x x))

series22.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(sqrt (* x x))
13.0ms	(sqrt (* x x))

simplify60.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	72	170
1	190	168
2	826	164
3	5001	164

prune186.0ms

Filtered

78 candidates to 48 candidates (61.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	1	79

Merged error: 0b

Counts

79 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample590.0ms

Algorithm

intervals

Results

373.0ms

14072×

body

valid