Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample835.0ms (61%)

Results

750.0ms

8256×

body

128

valid

Compiler

Compiled 44 to 22 computations (50% saved)

simplify60.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

731×	`sqr-pow_binary64`
380×	`cube-prod_binary64`
362×	`unswap-sqr_binary64`
313×	`pow-sqr_binary64`
224×	`fabs-mul_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	15	8
2	31	8
3	46	8
4	71	8
5	123	8
6	239	8
7	673	8
8	1364	8
9	1465	8
10	1598	8
11	1756	8
12	1987	8
13	2311	8
14	2732	8
15	3232	8
16	3825	8
17	4547	8
18	4868	8

Stop Event

1×	node limit

Counts

1 → 2

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Compiler

Compiled 36 to 14 computations (61.1% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	0.1b	(.f64 x (.f64 x x))

series5.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
2.0ms	(.f64 x (.f64 x x))

rewrite43.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`prod-diff_binary64`
552×	`log1p-expm1-u_binary64`
552×	`expm1-log1p-u_binary64`
58×	`egg-rr`
54×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	116	12
2	1569	12

Stop Event

1×	node limit

Counts

2 → 58

Calls

2 calls:

42.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
42.0ms	(.f64 x (.f64 x x))

simplify59.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1141×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
378×	`sqr-pow_binary64`
204×	`cube-prod_binary64`
177×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	150
1	20	132
2	44	132
3	81	132
4	210	132
5	854	132
6	2558	132
7	3309	132
8	3602	132
9	3922	132
10	4332	132
11	4852	132

Stop Event

1×	node limit

Counts

82 → 61

prune38.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Error

Counts

62 → 2

Alt Table

Status	Error	Program
	0.0b	(.f64 (.f64 x x) (+.f64 x 1))
▶	0.0b	(fma.f64 x x (pow.f64 x 3))

Compiler

Compiled 682 to 349 computations (48.8% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x (pow.f64 x 3))

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(fma.f64 x x (pow.f64 x 3))

rewrite31.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

410×	`log1p-expm1-u_binary64`
410×	`expm1-log1p-u_binary64`
259×	`unpow-prod-down_binary64`
198×	`log-prod_binary64`
130×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	104	8
2	1152	8

Stop Event

1×	node limit

Counts

1 → 43

Calls

1 calls:

30.0ms

(fma.f64 x x (pow.f64 x 3))

simplify60.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1141×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
378×	`sqr-pow_binary64`
204×	`cube-prod_binary64`
174×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	102
1	20	84
2	44	84
3	81	84
4	207	84
5	843	84
6	2540	84
7	3291	84
8	3585	84
9	3905	84
10	4315	84
11	4839	84

Stop Event

1×	node limit

Counts

55 → 48

prune22.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 x x) (+.f64 x 1))
✓	0.0b	(fma.f64 x x (pow.f64 x 3))

Compiler

Compiled 546 to 361 computations (33.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) (+.f64 x 1))

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(*.f64 (*.f64 x x) (+.f64 x 1))

rewrite34.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log1p-expm1-u_binary64`
567×	`expm1-log1p-u_binary64`
321×	`prod-diff_binary64`
208×	`fma-def_binary64`
137×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	129	10
2	1639	8

Stop Event

1×	node limit

Counts

1 → 52

Calls

1 calls:

33.0ms

(*.f64 (*.f64 x x) (+.f64 x 1))

simplify53.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1141×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
378×	`sqr-pow_binary64`
204×	`cube-prod_binary64`
174×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	102
1	20	84
2	44	84
3	81	84
4	207	84
5	843	84
6	2540	84
7	3291	84
8	3585	84
9	3905	84
10	4315	84
11	4839	84

Stop Event

1×	node limit

Counts

64 → 57

prune32.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	57	2	59

Error

Counts

59 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (.f64 x x) (+.f64 x 1))
✓	0.0b	(fma.f64 x x (pow.f64 x 3))

Compiler

Compiled 607 to 283 computations (53.4% saved)

regimes38.0ms (2.7%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Counts

26 → 1

Compiler

Compiled 616 to 396 computations (35.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8

Stop Event

1×

saturated

end38.0ms (2.8%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

Details

analyze1.0ms (0.1%)

sample835.0ms (61%)

simplify60.0ms (4.4%)

prune2.0ms (0.2%)

localize3.0ms (0.2%)

series5.0ms (0.4%)

rewrite43.0ms (3.1%)

simplify59.0ms (4.3%)

prune38.0ms (2.8%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite31.0ms (2.2%)

simplify60.0ms (4.4%)

prune22.0ms (1.6%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite34.0ms (2.5%)

simplify53.0ms (3.9%)

prune32.0ms (2.4%)

regimes38.0ms (2.7%)

simplify2.0ms (0.1%)

end38.0ms (2.8%)

Profiling