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)

sample704.0ms (67.7%)

Results

689.0ms

8256×

body

128

valid

Compiler

Compiled 34 to 18 computations (47.1% saved)

preprocess66.0ms (6.3%)

Algorithm

2×	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: 0 (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
0	1	1

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 10 to 4 computations (60% saved)

simplify63.0ms (6%)

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)

localize4.0ms (0.4%)

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))

series6.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

1.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))	x	inf
1.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))	x	-inf
1.0ms	(.f64 x (.f64 x x))	x	-inf
1.0ms	(.f64 x (.f64 x x))	x	inf
1.0ms	(.f64 x (.f64 x x))	x	0

rewrite35.0ms (3.3%)

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

simplify59.0ms (5.7%)

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

prune37.0ms (3.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

62 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 x x (pow.f64 x 3))

Compiler

Compiled 666 to 339 computations (49.1% saved)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 x x (pow.f64 x 3))

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes29.0ms (2.8%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

23 → 1

Compiler

Compiled 434 to 248 computations (42.9% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8

Stop Event

1×

saturated

end30.0ms (2.8%)

Stop Event

1×

done

Compiler

Compiled 21 to 12 computations (42.9% saved)

Details

analyze1.0ms (0.1%)

sample704.0ms (67.7%)

preprocess66.0ms (6.3%)

simplify63.0ms (6%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

series6.0ms (0.5%)

rewrite35.0ms (3.3%)

simplify59.0ms (5.7%)

prune37.0ms (3.6%)

localize3.0ms (0.3%)

prune1.0ms (0.1%)

regimes29.0ms (2.8%)

simplify2.0ms (0.2%)

end30.0ms (2.8%)

Profiling