Details

analyze158.0ms (4.4%)

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)

sample1.7s (47.9%)

Results

692.0ms	1403×	body	1024	valid
632.0ms	5519×	body	128	valid
260.0ms	843×	body	512	valid
105.0ms	487×	body	256	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
3	16	9
4	17	9
5	17	9

prune1.0ms (0%)

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

0.1b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.4%)

Counts

2 → 28

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite45.0ms (1.3%)

Algorithm

2×	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`

Counts

2 → 65

Calls

2 calls:

44.0ms	(/.f64 (sin.f64 y) y)
44.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	15
2	1638	15
3	5201	15
0	0	0
1	0	0

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

621×	`associate-l_binary64`
561×	`fma-def_binary64`
479×	`associate-r_binary64`
467×	`distribute-rgt-out--_binary64`
430×	`cancel-sign-sub-inv_binary64`

Counts

93 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	306
1	97	299
2	262	285
3	777	281
4	3078	281
5	5140	281

prune50.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Error

0.0b

Counts

81 → 6

Alt Table

Status	Error	Program
	1.3b	(.f64 x (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	7.0b	(/.f64 (*.f64 (sin.f64 y) x) y)
	0.4b	(*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
	7.1b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 992 to 446 computations (55% saved)

localize5.0ms (0.1%)

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 (0.5%)

Counts

2 → 28

Calls

2 calls:

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

rewrite48.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

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

Counts

2 → 78

Calls

2 calls:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	131	15
2	1860	15
3	5051	15
0	0	0
1	0	0

simplify45.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-l_binary64`
613×	`fma-def_binary64`
535×	`distribute-rgt-out_binary64`
508×	`associate-r_binary64`
468×	`distribute-rgt-out--_binary64`

Counts

106 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	302
1	98	299
2	262	289
3	786	283
4	3092	283
5	5344	283

prune63.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Error

Counts

99 → 7

Alt Table

Status	Error	Program
▶	0.2b	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) -1)
	1.3b	(/.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y)))))
	1.3b	(.f64 x (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	7.0b	(/.f64 (*.f64 (sin.f64 y) x) y)
	7.1b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 1163 to 504 computations (56.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series53.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

34.0ms	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) -1)
19.0ms	(/.f64 (/.f64 y (sin.f64 y)) x)

rewrite52.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
92×	`egg-rr`
88×	`add-sqr-sqrt_binary64`
81×	`add-cbrt-cube_binary64`

Counts

2 → 92

Calls

2 calls:

51.0ms	(/.f64 (/.f64 y (sin.f64 y)) x)
51.0ms	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) -1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	173	18
2	2273	18
3	5584	18
0	0	0
1	0	0

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Rules

816×	`distribute-rgt-neg-in_binary64`
551×	`associate-l_binary64`
502×	`associate-r_binary64`
457×	`fma-def_binary64`
301×	`cancel-sign-sub-inv_binary64`

Counts

140 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	512
1	110	509
2	280	497
3	797	493
4	3199	493
5	4660	493
6	4985	493

prune91.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	151	7	158

Error

Counts

158 → 7

Alt Table

Status	Error	Program
✓	0.2b	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) -1)
▶	1.3b	(/.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y)))))
	1.3b	(.f64 x (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	7.0b	(/.f64 (*.f64 (sin.f64 y) x) y)
	7.1b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 2046 to 919 computations (55.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 y (cbrt.f64 (sin.f64 y)))
✓	0.3b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
✓	0.5b	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
✓	0.7b	(cbrt.f64 (sin.f64 y))

series411.0ms (11.4%)

Counts

4 → 48

Calls

4 calls:

148.0ms	(/.f64 y (cbrt.f64 (sin.f64 y)))
129.0ms	(cbrt.f64 (sin.f64 y))
127.0ms	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
7.0ms	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))

rewrite62.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

463×	`log-prod_binary64`
234×	`pow2_binary64`
178×	`pow-unpow_binary64`
168×	`pow1/3_binary64`
162×	`expm1-udef_binary64`

Counts

4 → 160

Calls

4 calls:

59.0ms	(/.f64 y (cbrt.f64 (sin.f64 y)))
59.0ms	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
59.0ms	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
59.0ms	(cbrt.f64 (sin.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	210	27
2	2415	27
3	5133	27
0	0	0
1	0	0

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-def_binary64`
586×	`associate-l_binary64`
475×	`associate-r_binary64`
354×	`distribute-rgt-neg-in_binary64`
300×	`distribute-lft-neg-in_binary64`

Counts

208 → 192

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	526
1	231	524
2	535	516
3	1309	508
4	3622	508
5	4695	508
6	4970	508

prune121.0ms (3.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	226	7	233

Error

Counts

233 → 7

Alt Table

Status	Error	Program
✓	0.2b	(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) -1)
✓	1.3b	(/.f64 x (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y)))))
	7.1b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
	35.0b	(/.f64 x (/.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y))))
	7.0b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 4219 to 2125 computations (49.6% saved)

regimes299.0ms (8.3%)

Accuracy

Total 0.1b remaining (84.4%)

Threshold costs 0.1b (84.4%)

Counts

59 → 1

Compiler

Compiled 2852 to 1938 computations (32% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end113.0ms (3.2%)

Compiler: Compiled 89 to 57 computations (36% saved)

Details

analyze158.0ms (4.4%)

sample1.7s (47.9%)

simplify9.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series13.0ms (0.4%)

rewrite45.0ms (1.3%)

simplify48.0ms (1.3%)

prune50.0ms (1.4%)

localize5.0ms (0.1%)

series18.0ms (0.5%)

rewrite48.0ms (1.3%)

simplify45.0ms (1.2%)

prune63.0ms (1.8%)

localize6.0ms (0.2%)

series53.0ms (1.5%)

rewrite52.0ms (1.5%)

simplify74.0ms (2%)

prune91.0ms (2.5%)

localize9.0ms (0.3%)

series411.0ms (11.4%)

rewrite62.0ms (1.7%)

simplify73.0ms (2%)

prune121.0ms (3.4%)

regimes299.0ms (8.3%)

simplify2.0ms (0.1%)

end113.0ms (3.2%)

Profiling