Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample967.0ms (62.3%)

Results

902.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify41.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

668×	`div-sub_binary64`
499×	`fma-def_binary64`
417×	`times-frac_binary64`
411×	`associate-/l*_binary64`
366×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	45	9
3	89	7
4	191	7
5	438	7
6	1294	7
7	3635	7
8	5317	7

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 25 to 17 computations (32% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (fma.f64 x x -1))

series2.0ms (0.1%)

Counts

1 → 4

Calls

1 calls:

2.0ms

(exp.f64 (fma.f64 x x -1))

rewrite124.0ms (8%)

Algorithm

2×	batch-egg-rewrite

Rules

646×	`log1p-udef_binary64`
361×	`log1p-expm1-u_binary64`
361×	`expm1-log1p-u_binary64`
327×	`add-log-exp_binary64`
317×	`pow1_binary64`

Counts

1 → 49

Calls

1 calls:

122.0ms

(exp.f64 (fma.f64 x x -1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	90	7
2	946	7
3	4700	7
4	5737	7
0	0	0
1	0	0

simplify114.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

724×	`distribute-lft-out_binary64`
546×	`associate-+l+_binary64`
480×	`*-commutative_binary64`
472×	`distribute-rgt-in_binary64`
380×	`fma-def_binary64`

Counts

53 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	81
1	55	79
2	130	63
3	383	56
4	1301	56
5	2119	56
6	2598	56
7	2906	56
8	3888	56
9	5066	56

prune34.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Alt Table

Status	Error	Program
▶	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))
✓	0.0b	(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 736 to 537 computations (27% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(pow.f64 (E.f64) (fma.f64 x x -1))

rewrite77.0ms (4.9%)

Algorithm

2×	batch-egg-rewrite

Rules

867×	`log1p-udef_binary64`
467×	`log1p-expm1-u_binary64`
467×	`expm1-log1p-u_binary64`
383×	`unpow-prod-down_binary64`
223×	`log-prod_binary64`

Counts

1 → 40

Calls

1 calls:

76.0ms

(pow.f64 (E.f64) (fma.f64 x x -1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	119	7
2	1211	7
3	4832	7
4	6266	7
0	0	0
1	0	0

simplify69.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

726×	`distribute-lft-out_binary64`
490×	`*-commutative_binary64`
385×	`fma-def_binary64`
355×	`distribute-rgt-out_binary64`
350×	`associate-l_binary64`

Counts

52 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	137
1	58	135
2	139	119
3	406	112
4	1369	112
5	2333	112
6	3367	112
7	4551	112
8	4913	112

prune28.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Error

Counts

49 → 2

Alt Table

Status	Error	Program
✓	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))
✓	0.0b	(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 649 to 487 computations (25% saved)

regimes41.0ms (2.6%)

Accuracy

Total 0.0b remaining (41.2%)

Threshold costs 0.0b (41.2%)

Counts

6 → 1

Compiler

Compiled 358 to 271 computations (24.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`
1×	`e-exp-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	8	9
2	10	9
3	9	9

end37.0ms (2.4%)

Compiler: Compiled 27 to 19 computations (29.6% saved)

Details

analyze4.0ms (0.3%)

sample967.0ms (62.3%)

simplify41.0ms (2.6%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite124.0ms (8%)

simplify114.0ms (7.3%)

prune34.0ms (2.2%)

localize4.0ms (0.2%)

series3.0ms (0.2%)

rewrite77.0ms (4.9%)

simplify69.0ms (4.4%)

prune28.0ms (1.8%)

regimes41.0ms (2.6%)

simplify2.0ms (0.1%)

end37.0ms (2.4%)

Profiling