Details

analyze23.0ms (1.7%)

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)

sample961.0ms (73%)

Results

918.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify21.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

417×	`times-frac_binary64`
412×	`associate-/l*_binary64`
360×	`associate-/r*_binary64`
350×	`associate-l_binary64`
200×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	50	9
3	111	7
4	236	7
5	531	7
6	1613	7

Stop Event

1×	node limit

Counts

1 → 2

prune2.0ms (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 (0.3%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts

1 → 4

Calls

1 calls:

2.0ms

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

rewrite31.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

361×	`log1p-expm1-u_binary64`
361×	`expm1-log1p-u_binary64`
327×	`add-log-exp_binary64`
317×	`pow1_binary64`
205×	`unpow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	90	7
2	979	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

1 calls:

30.0ms

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

simplify33.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

724×	`distribute-lft-out_binary64`
385×	`*-commutative_binary64`
380×	`fma-def_binary64`
341×	`distribute-rgt-out_binary64`
340×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	81
1	55	79
2	136	63
3	448	56
4	1828	56
5	3578	56
6	4583	56

Stop Event

1×	node limit

Counts

53 → 56

prune34.0ms (2.6%)

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	(exp.f64 (fma.f64 x x -1))
▶	0.0b	(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))

Compiler

Compiled 749 to 550 computations (26.6% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.8%)

Counts

1 → 12

Calls

1 calls:

10.0ms

(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))

rewrite32.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log1p-expm1-u_binary64`
528×	`expm1-log1p-u_binary64`
431×	`unpow-prod-down_binary64`
285×	`log-prod_binary64`
163×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	132	9
2	1482	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

1 calls:

31.0ms

(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))

simplify34.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

710×	`distribute-lft-out_binary64`
400×	`*-commutative_binary64`
386×	`fma-def_binary64`
338×	`associate-l_binary64`
337×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	153
1	60	135
2	150	119
3	475	112
4	1914	112
5	3878	112

Stop Event

1×	node limit

Counts

29 → 25

prune15.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	2	27

Error

Counts

27 → 2

Alt Table

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

Compiler

Compiled 266 to 208 computations (21.8% saved)

regimes70.0ms (5.3%)

Accuracy

Total 0.0b remaining (62.8%)

Threshold costs 0.0b (62.8%)

Counts

5 → 1

Compiler

Compiled 338 to 251 computations (25.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7

Stop Event

1×

saturated

end38.0ms (2.9%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

Details

analyze23.0ms (1.7%)

sample961.0ms (73%)

simplify21.0ms (1.6%)

prune2.0ms (0.2%)

localize4.0ms (0.3%)

series2.0ms (0.2%)

rewrite31.0ms (2.4%)

simplify33.0ms (2.5%)

prune34.0ms (2.6%)

localize6.0ms (0.5%)

series10.0ms (0.8%)

rewrite32.0ms (2.4%)

simplify34.0ms (2.6%)

prune15.0ms (1.1%)

regimes70.0ms (5.3%)

simplify2.0ms (0.1%)

end38.0ms (2.9%)

Profiling