Details

analyze47.0ms (2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample953.0ms (41.3%)

Results

875.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify50.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
448×	`times-frac_binary64`
307×	`div-sub_binary64`
143×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	82	12
4	182	12
5	331	12
6	818	10
7	2221	10
8	3129	10
9	3837	10
10	3958	10
11	4001	10
12	4011	10
13	4011	10

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.1%)

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	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

rewrite75.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`expm1-log1p-u_binary64`
758×	`prod-diff_binary64`
77×	`add-sqr-sqrt_binary64`
74×	`log1p-expm1-u_binary64`
73×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	144	10
2	2291	10

Stop Event

1×	node limit

Counts

1 → 35

Calls

1 calls:

74.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify36.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

822×	`associate-/l*_binary64`
504×	`associate-/r*_binary64`
384×	`associate-/r/_binary64`
251×	`cancel-sign-sub-inv_binary64`
194×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	426
1	112	393
2	383	342
3	1549	324

Stop Event

1×	node limit

Counts

59 → 49

prune39.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Error

0.0b

Counts

50 → 4

Alt Table

Status	Error	Program
	33.1b	(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
▶	0.1b	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
	32.8b	(fma.f64 (/.f64 n f) -2 -1)
	30.9b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))

Compiler

Compiled 761 to 324 computations (57.4% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
✓	0.1b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))

series65.0ms (2.8%)

Counts

3 → 72

Calls

3 calls:

27.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)
23.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
15.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))

rewrite54.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`prod-diff_binary64`
188×	`expm1-udef_binary64`
188×	`log1p-udef_binary64`
108×	`add-sqr-sqrt_binary64`
105×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	223	40
2	3052	40

Stop Event

1×	node limit

Counts

3 → 98

Calls

3 calls:

52.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)
52.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
52.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))

simplify36.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

610×	`times-frac_binary64`
436×	`fma-def_binary64`
425×	`associate-r_binary64`
420×	`associate-/l*_binary64`
394×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1440
1	299	1390
2	1039	1284

Stop Event

1×	node limit

Counts

170 → 145

prune178.0ms (7.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	242	5	247

Error

Counts

247 → 5

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
✓	0.1b	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
	33.1b	(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
	32.8b	(fma.f64 (/.f64 n f) -2 -1)
	30.9b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))

Compiler

Compiled 6363 to 2269 computations (64.3% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	0.1b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2))
✓	0.5b	(cbrt.f64 (+.f64 f n))
✓	0.5b	(cbrt.f64 (-.f64 n f))

series44.0ms (1.9%)

Counts

2 → 48

Calls

2 calls:

22.0ms	(cbrt.f64 (-.f64 n f))
22.0ms	(cbrt.f64 (+.f64 f n))

rewrite39.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`expm1-log1p-u_binary64`
740×	`prod-diff_binary64`
78×	`add-sqr-sqrt_binary64`
75×	`add-cbrt-cube_binary64`
74×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	153	12
2	2150	12

Stop Event

1×	node limit

Counts

2 → 46

Calls

2 calls:

39.0ms	(cbrt.f64 (+.f64 f n))
39.0ms	(cbrt.f64 (-.f64 n f))

simplify41.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-def_binary64`
481×	`times-frac_binary64`
366×	`cancel-sign-sub-inv_binary64`
344×	`associate-/l*_binary64`
195×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	1825
1	631	1799
2	1955	1572

Stop Event

1×	node limit

Counts

94 → 117

prune145.0ms (6.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	207	5	212

Error

Counts

212 → 5

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
✓	0.1b	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
	33.1b	(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
	32.8b	(fma.f64 (/.f64 n f) -2 -1)
▶	30.9b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))

Compiler

Compiled 6648 to 2983 computations (55.1% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 f (*.f64 (/.f64 f n) f))
✓	0.1b	(*.f64 (/.f64 f n) f)
✓	1.8b	(.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f)))

series35.0ms (1.5%)

Counts

3 → 72

Calls

3 calls:

16.0ms	(.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f)))
9.0ms	(*.f64 (/.f64 f n) f)
9.0ms	(+.f64 f (*.f64 (/.f64 f n) f))

rewrite59.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

340×	`fma-def_binary64`
192×	`expm1-udef_binary64`
192×	`log1p-udef_binary64`
188×	`log-div_binary64`
179×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	212	29
2	3225	29

Stop Event

1×	node limit

Counts

3 → 171

Calls

3 calls:

56.0ms	(+.f64 f (*.f64 (/.f64 f n) f))
56.0ms	(*.f64 (/.f64 f n) f)
56.0ms	(.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f)))

simplify28.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

763×	`associate-/l*_binary64`
525×	`associate-/l/_binary64`
454×	`associate-/r*_binary64`
411×	`associate-*l/_binary64`
348×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	774
1	32	774
2	65	720
3	163	648
4	851	648

Stop Event

1×	node limit

Counts

243 → 180

prune119.0ms (5.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	180	5	185

Error

Counts

185 → 5

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
✓	0.1b	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)))
	33.1b	(.f64 (/.f64 (+.f64 f n) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 f n))
	32.8b	(fma.f64 (/.f64 n f) -2 -1)
✓	30.9b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))

Compiler

Compiled 3604 to 1795 computations (50.2% saved)

regimes103.0ms (4.5%)

Accuracy

Total 0.0b remaining (59%)

Threshold costs 0.0b (59%)

Counts

44 → 1

Compiler

Compiled 1670 to 1100 computations (34.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`cancel-sign-sub-inv_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`distribute-neg-in_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	19	14
2	33	14
3	51	12
4	71	12
5	78	12

Stop Event

1×

saturated

end116.0ms (5%)

Compiler: Compiled 103 to 58 computations (43.7% saved)

Details

analyze47.0ms (2%)

sample953.0ms (41.3%)

simplify50.0ms (2.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite75.0ms (3.2%)

simplify36.0ms (1.6%)

prune39.0ms (1.7%)

localize11.0ms (0.5%)

series65.0ms (2.8%)

rewrite54.0ms (2.3%)

simplify36.0ms (1.5%)

prune178.0ms (7.7%)

localize12.0ms (0.5%)

series44.0ms (1.9%)

rewrite39.0ms (1.7%)

simplify41.0ms (1.8%)

prune145.0ms (6.3%)

localize9.0ms (0.4%)

series35.0ms (1.5%)

rewrite59.0ms (2.5%)

simplify28.0ms (1.2%)

prune119.0ms (5.1%)

regimes103.0ms (4.5%)

simplify2.0ms (0.1%)

end116.0ms (5%)

Profiling