Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify82.0ms

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

prune5.0ms

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)
14.9b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite28.0ms

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:

18.0ms	(+ (/ (- (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))

series159.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
74.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (29.0ms)

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

prune295.0ms

Filtered

127 candidates to 106 candidates (83.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0b

Counts

128 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-exp` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `div-inv` `inv-pow`

Counts

3 → 53

Calls

3 calls:

1.0ms	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

series134.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
30.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
43.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

simplify105.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	216	370
1	707	323
2	3378	303
3	5001	298

prune122.0ms

Filtered

62 candidates to 42 candidates (67.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	1	63

Merged error: 0b

Counts

63 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample344.0ms

Algorithm

intervals

Results

251.0ms

8000×

body

valid