Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	8
1	39	6
2	66	6
3	98	6
4	108	6
5	130	6
6	158	6
7	211	6
8	277	6
9	512	6
10	881	6
11	1338	6
12	2728	6
13	5001	6

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
15.1b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
48×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`fma-def`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
7×	`neg-mul-1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`neg-sub0` `div-sub` `div-inv`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `distribute-frac-neg` `div-exp` `clear-num` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 118

Calls

3 calls:

17.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series155.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
24.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
72.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify124.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	335	784
1	1079	748
2	4829	733
3	5001	733

prune305.0ms

Filtered

127 candidates to 106 candidates (83.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	2	128

Merged error: 0b

Counts

128 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma 0.27061 x 2.30753))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
3.7b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753)))
3.8b	(/ (- (sqrt (fma 0.27061 x 2.30753))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

676×	`times-frac`
357×	`add-sqr-sqrt`
356×	`add-cube-cbrt` `*-un-lft-identity`
306×	`sqrt-prod`
138×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
28×	`associate-/r*`
23×	`neg-mul-1`
19×	`div-inv` `associate-/l*`
11×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`neg-sub0` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-sub` `distribute-frac-neg` `associate-/r/` `fma-udef`

Counts

4 → 475

Calls

4 calls:

1.0ms	(sqrt (fma 0.27061 x 2.30753))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753)))
15.0ms	(/ (- (sqrt (fma 0.27061 x 2.30753))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753))))

series269.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (fma 0.27061 x 2.30753))
24.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
130.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753)))
74.0ms	(/ (- (sqrt (fma 0.27061 x 2.30753))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (fma 0.27061 x 2.30753))))

simplify127.0ms

Algorithm

egg-herbie

Counts

487 → 487

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1491	8603
1	5001	7778

prune852.0ms

Filtered

487 candidates to 240 candidates (49.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	487	0	487
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	487	2	489

Merged error: 0b

Counts

489 → 2

regimes11.0ms

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	15	6
1	15	6

end0.0ms

sample322.0ms

Algorithm

intervals

Results

237.0ms

8000×

body

valid