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
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample656.0ms (48%)

Results

627.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-l_binary64`
1×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	11	7

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.1%)

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

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)

series2.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(*.f64 (*.f64 x 3) x)

rewrite28.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

412×	`log1p-expm1-u_binary64`
412×	`expm1-log1p-u_binary64`
351×	`pow1_binary64`
304×	`unpow-prod-down_binary64`
237×	`log-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1140	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

1 calls:

28.0ms

(*.f64 (*.f64 x 3) x)

simplify54.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

609×	`sqr-pow_binary64`
451×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
271×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	106	84
5	315	84
6	1235	84
7	2116	84
8	2280	84
9	2464	84
10	2672	84
11	2963	84
12	3356	84
13	3834	84
14	4395	84

Stop Event

1×	node limit

Counts

32 → 22

prune16.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Error

0.0b

Counts

23 → 5

Alt Table

Status	Error	Program
	19.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
✓	0.2b	(.f64 (.f64 x 3) x)
	0.4b	(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
▶	0.2b	(*.f64 3 (pow.f64 x 2))

Compiler

Compiled 249 to 192 computations (22.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 3 (pow.f64 x 2))

series2.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

2.0ms

(*.f64 3 (pow.f64 x 2))

rewrite39.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log1p-expm1-u_binary64`
434×	`expm1-log1p-u_binary64`
270×	`unpow-prod-down_binary64`
222×	`log-prod_binary64`
133×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	123	7
2	1262	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

1 calls:

38.0ms

(*.f64 3 (pow.f64 x 2))

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

21 → 21

prune13.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	21	5	26

Error

0.0b

Counts

26 → 5

Alt Table

Status	Error	Program
	19.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.4b	(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
✓	0.2b	(*.f64 3 (pow.f64 x 2))

Compiler

Compiled 234 to 169 computations (27.8% saved)

localize12.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
✓	0.4b	(*.f64 x (sqrt.f64 3))

series8.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

5.0ms	(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
3.0ms	(*.f64 x (sqrt.f64 3))

rewrite38.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
369×	`unpow-prod-down_binary64`
264×	`log-prod_binary64`
152×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	146	13
2	1504	13

Stop Event

1×	node limit

Counts

2 → 69

Calls

2 calls:

37.0ms	(pow.f64 (*.f64 x (sqrt.f64 3)) 2)
37.0ms	(*.f64 x (sqrt.f64 3))

simplify71.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

642×	`associate-l_binary64`
538×	`sqr-pow_binary64`
458×	`associate-r_binary64`
453×	`*-commutative_binary64`
328×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	216
1	19	156
2	38	156
3	95	156
4	384	156
5	2092	156
6	2205	156
7	2403	156
8	2599	156
9	2830	156
10	3137	156
11	3768	156
12	4243	156
13	4862	156

Stop Event

1×	node limit

Counts

93 → 72

prune59.0ms (4.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	68	9	77

Error

Counts

77 → 9

Alt Table

Status	Error	Program
	34.6b	(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 3))) 3) (sqrt.f64 (*.f64 x (sqrt.f64 3))))
	19.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.2b	(*.f64 3 (pow.f64 x 2))
	1.3b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3) 2)
	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
	2.0b	(expm1.f64 (log1p.f64 (.f64 3 (.f64 x x))))
▶	0.4b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x x))) 2)
	0.4b	(.f64 (cbrt.f64 9) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 3)) x) 2))

Compiler

Compiled 949 to 729 computations (23.2% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 x x))
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x x))) 2)
✓	19.5b	(sqrt.f64 (.f64 3 (.f64 x x)))

series11.0ms (0.8%)

Counts

3 → 36

Calls

3 calls:

4.0ms	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x x))) 2)
4.0ms	(sqrt.f64 (.f64 3 (.f64 x x)))
2.0ms	(.f64 3 (.f64 x x))

rewrite53.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log1p-expm1-u_binary64`
527×	`expm1-log1p-u_binary64`
464×	`unpow-prod-down_binary64`
286×	`log-prod_binary64`
155×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	166	20
2	1573	20

Stop Event

1×	node limit

Counts

3 → 139

Calls

3 calls:

50.0ms	(.f64 3 (.f64 x x))
50.0ms	(pow.f64 (sqrt.f64 (.f64 3 (.f64 x x))) 2)
50.0ms	(sqrt.f64 (.f64 3 (.f64 x x)))

simplify49.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

617×	`unswap-sqr_binary64`
423×	`fma-def_binary64`
290×	`*-commutative_binary64`
280×	`distribute-rgt-in_binary64`
228×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	368
1	27	248
2	57	248
3	140	248
4	554	248
5	1062	248
6	2258	248
7	2838	248
8	3737	248
9	4463	248

Stop Event

1×	node limit

Counts

175 → 131

prune91.0ms (6.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	132	8	140

Error

Counts

140 → 8

Alt Table

Status	Error	Program
	19.9b	(sqrt.f64 (*.f64 9 (pow.f64 x 4)))
✓	0.2b	(.f64 (.f64 x 3) x)
	0.9b	(.f64 (.f64 (*.f64 3 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
	1.3b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3) 2)
	0.9b	(pow.f64 (cbrt.f64 (.f64 x (.f64 x 3))) 3)
	0.4b	(pow.f64 (*.f64 (sqrt.f64 3) x) 2)
	0.4b	(.f64 (cbrt.f64 9) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 3)) x) 2))

Compiler

Compiled 1645 to 1248 computations (24.1% saved)

regimes44.0ms (3.2%)

Accuracy

Total 0.2b remaining (95.3%)

Threshold costs 0.2b (95.3%)

Counts

23 → 1

Compiler

Compiled 432 to 348 computations (19.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7

Stop Event

1×

saturated

end89.0ms (6.5%)

Compiler: Compiled 80 to 63 computations (21.3% saved)

Details

analyze4.0ms (0.3%)

sample656.0ms (48%)

simplify6.0ms (0.5%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

series2.0ms (0.2%)

rewrite28.0ms (2%)

simplify54.0ms (3.9%)

prune16.0ms (1.2%)

localize3.0ms (0.2%)

series2.0ms (0.2%)

rewrite39.0ms (2.8%)

simplify6.0ms (0.4%)

prune13.0ms (1%)

localize12.0ms (0.9%)

series8.0ms (0.6%)

rewrite38.0ms (2.8%)

simplify71.0ms (5.2%)

prune59.0ms (4.4%)

localize5.0ms (0.3%)

series11.0ms (0.8%)

rewrite53.0ms (3.9%)

simplify49.0ms (3.6%)

prune91.0ms (6.6%)

regimes44.0ms (3.2%)

simplify2.0ms (0.1%)

end89.0ms (6.5%)

Profiling