Details

analyze34.0ms (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 10 to 6 computations (40% saved)

sample781.0ms (46.8%)

Results

710.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify50.0ms (3%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-neg_binary64`
439×	`fma-def_binary64`
362×	`div-sub_binary64`
361×	`times-frac_binary64`
137×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	14	10
3	21	10
4	31	10
5	54	10
6	91	10
7	134	10
8	214	10
9	439	10
10	1099	10
11	1804	10
12	2674	10
13	3121	10
14	3277	10
15	3299	10
16	3319	10
17	3319	10

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

series7.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

rewrite45.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
552×	`prod-diff_binary64`
74×	`add-sqr-sqrt_binary64`
70×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	140	10
2	2143	10

Stop Event

1×	node limit

Counts

1 → 35

Calls

1 calls:

44.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

simplify25.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

823×	`associate-/l*_binary64`
492×	`associate-/r*_binary64`
361×	`associate-/r/_binary64`
338×	`cancel-sign-sub-inv_binary64`
194×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	417
1	121	399
2	382	339
3	1513	327

Stop Event

1×	node limit

Counts

59 → 49

prune32.0ms (1.9%)

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 x y) (-.f64 x y))
	35.3b	(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
	29.0b	(+.f64 -1 (.f64 (/.f64 x y) (-.f64 -2 (.f64 2 (/.f64 x y)))))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))

Compiler

Compiled 731 to 316 computations (56.8% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series23.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

13.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
10.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

rewrite57.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`prod-diff_binary64`
239×	`fma-def_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`
144×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	202	23
2	2684	23

Stop Event

1×	node limit

Counts

2 → 90

Calls

2 calls:

55.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
55.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

simplify43.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

500×	`fma-neg_binary64`
330×	`times-frac_binary64`
291×	`fma-def_binary64`
279×	`distribute-neg-frac_binary64`
259×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	883
1	271	853
2	897	753
3	3838	741

Stop Event

1×	node limit

Counts

138 → 124

prune100.0ms (6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	173	4	177

Error

Counts

177 → 4

Alt Table

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

Compiler

Compiled 2750 to 1195 computations (56.5% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 x y))
✓	0.1b	(.f64 (/.f64 x y) (-.f64 -2 (.f64 2 (/.f64 x y))))

series21.0ms (1.3%)

Counts

2 → 24

Calls

2 calls:

15.0ms	(.f64 (/.f64 x y) (-.f64 -2 (.f64 2 (/.f64 x y))))
6.0ms	(*.f64 2 (/.f64 x y))

rewrite53.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
181×	`expm1-udef_binary64`
181×	`log1p-udef_binary64`
151×	`log-pow_binary64`
139×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	204	23
2	2761	21

Stop Event

1×	node limit

Counts

2 → 102

Calls

2 calls:

51.0ms	(*.f64 2 (/.f64 x y))
51.0ms	(.f64 (/.f64 x y) (-.f64 -2 (.f64 2 (/.f64 x y))))

simplify28.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

711×	`associate-/l/_binary64`
680×	`fma-def_binary64`
401×	`fma-neg_binary64`
338×	`cancel-sign-sub-inv_binary64`
246×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	438
1	46	402
2	118	348
3	338	348
4	1858	312

Stop Event

1×	node limit

Counts

126 → 108

prune71.0ms (4.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	108	4	112

Error

Counts

112 → 4

Alt Table

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

Compiler

Compiled 2121 to 1206 computations (43.1% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))

series13.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

13.0ms

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

rewrite42.0ms (2.5%)

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:

39.0ms

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

simplify34.0ms (2.1%)

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	10	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 → 48

prune30.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	48	4	52

Error

Counts

52 → 4

Alt Table

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

Compiler

Compiled 876 to 509 computations (41.9% saved)

regimes86.0ms (5.2%)

Accuracy

Total 0.0b remaining (78.1%)

Threshold costs 0.0b (78.1%)

Counts

37 → 1

Compiler

Compiled 1221 to 867 computations (29% saved)

simplify3.0ms (0.2%)

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	8	14
1	11	14
2	16	14
3	18	14
4	19	14

Stop Event

1×

saturated

end63.0ms (3.8%)

Compiler: Compiled 72 to 46 computations (36.1% saved)

Details

analyze34.0ms (2%)

sample781.0ms (46.8%)

simplify50.0ms (3%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite45.0ms (2.7%)

simplify25.0ms (1.5%)

prune32.0ms (1.9%)

localize6.0ms (0.4%)

series23.0ms (1.4%)

rewrite57.0ms (3.4%)

simplify43.0ms (2.6%)

prune100.0ms (6%)

localize11.0ms (0.6%)

series21.0ms (1.3%)

rewrite53.0ms (3.2%)

simplify28.0ms (1.7%)

prune71.0ms (4.3%)

localize6.0ms (0.3%)

series13.0ms (0.8%)

rewrite42.0ms (2.5%)

simplify34.0ms (2.1%)

prune30.0ms (1.8%)

regimes86.0ms (5.2%)

simplify3.0ms (0.2%)

end63.0ms (3.8%)

Profiling