Details

analyze119.0ms (4.7%)

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.6s (64.3%)

Results

639.0ms	5590×	body	128	valid
608.0ms	1290×	body	1024	valid
245.0ms	863×	body	512	valid
101.0ms	510×	body	256	valid
4.0ms	3×	body	2048	valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	13	9
3	17	9
4	18	9

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	9.7b	(*.f64 (/.f64 x y) (sin.f64 y))
▶	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 46 to 27 computations (41.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.6%)

Counts

2 → 28

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite38.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`log1p-expm1-u_binary64`
636×	`expm1-log1p-u_binary64`
349×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	15
2	1696	15

Stop Event

1×	node limit

Counts

2 → 63

Calls

2 calls:

37.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
37.0ms	(/.f64 (sin.f64 y) y)

simplify36.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

601×	`associate-l_binary64`
561×	`fma-def_binary64`
465×	`associate-r_binary64`
430×	`cancel-sign-sub-inv_binary64`
303×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	306
1	97	299
2	279	285
3	1015	281
4	4670	281

Stop Event

1×	node limit

Counts

91 → 78

prune48.0ms (1.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Error

Counts

80 → 5

Alt Table

Status	Error	Program
	1.2b	(.f64 x (.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y))))
	9.7b	(*.f64 (/.f64 x y) (sin.f64 y))
	5.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
	6.0b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 964 to 443 computations (54% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.1b	(/.f64 y (sin.f64 y))

series18.0ms (0.7%)

Counts

2 → 28

Calls

2 calls:

10.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
8.0ms	(/.f64 y (sin.f64 y))

rewrite44.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
125×	`expm1-udef_binary64`
125×	`log1p-udef_binary64`
76×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	131	15
2	1942	15

Stop Event

1×	node limit

Counts

2 → 76

Calls

2 calls:

43.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
43.0ms	(/.f64 y (sin.f64 y))

simplify35.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
599×	`associate-l_binary64`
495×	`associate-r_binary64`
316×	`cancel-sign-sub-inv_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	302
1	98	299
2	274	289
3	1013	283
4	4498	283

Stop Event

1×	node limit

Counts

104 → 91

prune49.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	91	5	96

Error

Counts

96 → 5

Alt Table

Status	Error	Program
	9.7b	(*.f64 (/.f64 x y) (sin.f64 y))
	5.5b	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
▶	5.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
	6.0b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 1095 to 484 computations (55.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	5.4b	(/.f64 (*.f64 (sin.f64 y) x) y)

series17.0ms (0.7%)

Counts

2 → 8

Calls

2 calls:

11.0ms	(/.f64 (*.f64 (sin.f64 y) x) y)
6.0ms	(*.f64 (sin.f64 y) x)

rewrite41.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log1p-expm1-u_binary64`
667×	`expm1-log1p-u_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`
109×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	15
2	1755	15

Stop Event

1×	node limit

Counts

2 → 58

Calls

2 calls:

40.0ms	(*.f64 (sin.f64 y) x)
40.0ms	(/.f64 (*.f64 (sin.f64 y) x) y)

simplify32.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

569×	`distribute-rgt-neg-in_binary64`
509×	`fma-neg_binary64`
289×	`*-commutative_binary64`
270×	`unswap-sqr_binary64`
269×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	152
1	127	143
2	402	125
3	1564	123
4	3732	123

Stop Event

1×	node limit

Counts

66 → 73

prune37.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	73	5	78

Error

Counts

78 → 5

Alt Table

Status	Error	Program
	9.7b	(*.f64 (/.f64 x y) (sin.f64 y))
▶	5.5b	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
✓	5.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
	6.0b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 902 to 410 computations (54.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.2b	(/.f64 x (/.f64 1 (sin.f64 y)))
✓	5.5b	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))

series23.0ms (0.9%)

Counts

3 → 52

Calls

3 calls:

10.0ms	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
7.0ms	(/.f64 x (/.f64 1 (sin.f64 y)))
5.0ms	(/.f64 1 (sin.f64 y))

rewrite48.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
171×	`pow1/3_binary64`
167×	`log-div_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	194	21
2	2650	21

Stop Event

1×	node limit

Counts

3 → 127

Calls

3 calls:

46.0ms	(/.f64 1 (sin.f64 y))
46.0ms	(/.f64 x (/.f64 1 (sin.f64 y)))
46.0ms	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

565×	`distribute-rgt-neg-in_binary64`
509×	`fma-neg_binary64`
317×	`*-commutative_binary64`
270×	`unswap-sqr_binary64`
269×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	507
1	162	496
2	486	476
3	1816	474
4	4037	474

Stop Event

1×	node limit

Counts

179 → 151

prune74.0ms (2.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	151	5	156

Error

Counts

156 → 5

Alt Table

Status	Error	Program
	9.7b	(*.f64 (/.f64 x y) (sin.f64 y))
✓	5.5b	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
✓	5.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
	6.0b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 1962 to 1065 computations (45.7% saved)

regimes103.0ms (4.1%)

Accuracy

Total 0.1b remaining (85.9%)

Threshold costs 0.1b (85.9%)

Counts

27 → 1

Compiler

Compiled 1223 to 814 computations (33.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9

Stop Event

1×

saturated

end56.0ms (2.2%)

Compiler: Compiled 62 to 41 computations (33.9% saved)

Details

analyze119.0ms (4.7%)

sample1.6s (64.3%)

simplify7.0ms (0.3%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series14.0ms (0.6%)

rewrite38.0ms (1.5%)

simplify36.0ms (1.4%)

prune48.0ms (1.9%)

localize4.0ms (0.2%)

series18.0ms (0.7%)

rewrite44.0ms (1.7%)

simplify35.0ms (1.4%)

prune49.0ms (1.9%)

localize5.0ms (0.2%)

series17.0ms (0.7%)

rewrite41.0ms (1.6%)

simplify32.0ms (1.3%)

prune37.0ms (1.5%)

localize7.0ms (0.3%)

series23.0ms (0.9%)

rewrite48.0ms (1.9%)

simplify39.0ms (1.5%)

prune74.0ms (2.9%)

regimes103.0ms (4.1%)

simplify2.0ms (0.1%)

end56.0ms (2.2%)

Profiling