Details

analyze64.0ms (3.2%)

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)

sample979.0ms (49.2%)

Results

892.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify51.0ms (2.6%)

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))

rewrite40.0ms (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:

39.0ms

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

simplify26.0ms (1.3%)

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

prune52.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

Counts

50 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	35.3b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
	29.0b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))

Compiler

Compiled 730 to 315 computations (56.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

series30.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

19.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
11.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite49.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`prod-diff_binary64`
315×	`fma-def_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`
140×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	206	23
2	2834	23

Stop Event

1×	node limit

Counts

2 → 91

Calls

2 calls:

47.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
47.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

simplify43.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

556×	`fma-neg_binary64`
389×	`distribute-neg-frac_binary64`
342×	`fma-def_binary64`
330×	`times-frac_binary64`
259×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	905
1	251	840
2	903	761
3	3967	743

Stop Event

1×	node limit

Counts

139 → 125

prune112.0ms (5.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	174	4	178

Error

Counts

178 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	35.3b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
▶	29.0b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))

Compiler

Compiled 2777 to 1192 computations (57.1% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 f (*.f64 (/.f64 f n) f))
✓	0.2b	(*.f64 (/.f64 f n) f)
✓	1.4b	(.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f)))

series40.0ms (2%)

Counts

3 → 72

Calls

3 calls:

21.0ms	(.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f)))
11.0ms	(*.f64 (/.f64 f n) f)
8.0ms	(+.f64 f (*.f64 (/.f64 f n) f))

rewrite63.0ms (3.2%)

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:

59.0ms	(+.f64 f (*.f64 (/.f64 f n) f))
59.0ms	(*.f64 (/.f64 f n) f)
59.0ms	(.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f)))

simplify29.0ms (1.5%)

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

prune96.0ms (4.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	180	4	184

Error

Counts

184 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
▶	35.3b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
✓	29.0b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))

Compiler

Compiled 3585 to 1790 computations (50.1% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

series14.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

14.0ms

(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

rewrite42.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log1p-expm1-u_binary64`
785×	`expm1-log1p-u_binary64`
250×	`prod-diff_binary64`
75×	`add-sqr-sqrt_binary64`
70×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	13
2	2074	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

1 calls:

41.0ms

(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

simplify33.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def_binary64`
570×	`unswap-sqr_binary64`
560×	`times-frac_binary64`
257×	`associate-/l*_binary64`
255×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	330
1	18	330
2	32	276
3	78	276
4	323	276
5	2669	276
6	4587	276

Stop Event

1×	node limit

Counts

66 → 47

prune28.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	47	4	51

Error

Counts

51 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	35.3b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
✓	29.0b	(+.f64 1 (.f64 (/.f64 2 n) (+.f64 f (.f64 (/.f64 f n) f))))

Compiler

Compiled 862 to 500 computations (42% saved)

regimes105.0ms (5.3%)

Accuracy

Total 0.0b remaining (81.9%)

Threshold costs 0.0b (81.9%)

Counts

43 → 1

Compiler

Compiled 1518 to 1086 computations (28.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	12	15
2	17	15
3	19	15
4	20	15

Stop Event

1×

saturated

end57.0ms (2.9%)

Compiler: Compiled 74 to 48 computations (35.1% saved)

Details

analyze64.0ms (3.2%)

sample979.0ms (49.2%)

simplify51.0ms (2.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite40.0ms (2%)

simplify26.0ms (1.3%)

prune52.0ms (2.6%)

localize7.0ms (0.3%)

series30.0ms (1.5%)

rewrite49.0ms (2.5%)

simplify43.0ms (2.2%)

prune112.0ms (5.6%)

localize8.0ms (0.4%)

series40.0ms (2%)

rewrite63.0ms (3.2%)

simplify29.0ms (1.5%)

prune96.0ms (4.8%)

localize6.0ms (0.3%)

series14.0ms (0.7%)

rewrite42.0ms (2.1%)

simplify33.0ms (1.6%)

prune28.0ms (1.4%)

regimes105.0ms (5.3%)

simplify2.0ms (0.1%)

end57.0ms (2.9%)

Profiling