Details

analyze532.0ms (14%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.0s (52.5%)

Results

751.0ms	1418×	body	1024	valid
741.0ms	5642×	body	128	valid
236.0ms	770×	body	512	valid
106.0ms	422×	body	256	valid
74.0ms	566×	body	128	invalid
15.0ms	49×	body	512	invalid
10.0ms	18×	body	1024	invalid
9.0ms	41×	body	256	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
10×	`associate-/r/_binary64`
6×	`associate-*l/_binary64`
5×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	25	12
3	50	12
4	71	12
5	81	12

Stop Event

1×

saturated

Counts

1 → 2

prune17.0ms (0.5%)

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
	9.4b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	2.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 63 to 38 computations (39.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	2.6b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series39.0ms (1%)

Counts

3 → 64

Calls

3 calls:

25.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
10.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`
156×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	172	27
2	2531	27

Stop Event

1×	node limit

Counts

3 → 116

Calls

3 calls:

49.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
49.0ms	(/.f64 (sin.f64 y) y)
49.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

simplify34.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
620×	`associate-l_binary64`
538×	`cancel-sign-sub-inv_binary64`
405×	`associate-/l*_binary64`
366×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	790
1	144	783
2	426	765
3	1512	759

Stop Event

1×	node limit

Counts

180 → 141

prune109.0ms (2.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	134	7	141
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	136	7	143

Error

Counts

143 → 7

Alt Table

Status	Error	Program
	3.2b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	3.1b	(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
	9.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	2.8b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
	13.4b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
▶	2.7b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.3b	(pow.f64 (/.f64 z (/.f64 x (/.f64 y (sin.f64 y)))) -1)

Compiler

Compiled 2081 to 835 computations (59.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.1b	(/.f64 y (sin.f64 y))
✓	2.6b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

series47.0ms (1.2%)

Counts

3 → 64

Calls

3 calls:

29.0ms	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
11.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
6.0ms	(/.f64 y (sin.f64 y))

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
192×	`log-div_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`
155×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	178	27
2	2781	27

Stop Event

1×	node limit

Counts

3 → 129

Calls

3 calls:

53.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
53.0ms	(/.f64 y (sin.f64 y))
53.0ms	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

simplify33.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def_binary64`
631×	`associate-l_binary64`
424×	`cancel-sign-sub-inv_binary64`
367×	`associate-/l*_binary64`
279×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	786
1	145	783
2	423	769
3	1494	761

Stop Event

1×	node limit

Counts

193 → 153

prune99.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	153	7	160

Error

Counts

160 → 7

Alt Table

Status	Error	Program
	3.2b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	3.1b	(+.f64 0 (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))))
	9.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
▶	2.8b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
	13.4b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
✓	2.7b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.3b	(pow.f64 (/.f64 z (/.f64 x (/.f64 y (sin.f64 y)))) -1)

Compiler

Compiled 2279 to 898 computations (60.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
	0.1b	(/.f64 (sin.f64 y) y)
✓	2.7b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

series42.0ms (1.1%)

Counts

2 → 60

Calls

2 calls:

29.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
12.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)

rewrite45.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
242×	`pow2_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	21
2	2506	21

Stop Event

1×	node limit

Counts

2 → 79

Calls

2 calls:

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

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

412×	`associate-r_binary64`
400×	`associate-l_binary64`
302×	`associate-/l*_binary64`
285×	`unswap-sqr_binary64`
209×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	746
1	126	746
2	344	738
3	987	732
4	4225	732

Stop Event

1×	node limit

Counts

139 → 95

prune99.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	140	7	147

Error

Counts

147 → 7

Alt Table

Status	Error	Program
▶	3.1b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
	3.2b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	11.9b	(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x))
	9.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	2.8b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
✓	2.7b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.3b	(pow.f64 (/.f64 z (/.f64 x (/.f64 y (sin.f64 y)))) -1)

Compiler

Compiled 2039 to 857 computations (58% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (/.f64 y (sin.f64 y)))
	0.1b	(/.f64 y (sin.f64 y))
✓	3.0b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

series42.0ms (1.1%)

Counts

2 → 60

Calls

2 calls:

25.0ms	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
17.0ms	(*.f64 z (/.f64 y (sin.f64 y)))

rewrite48.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
242×	`pow2_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	21
2	2519	21

Stop Event

1×	node limit

Counts

2 → 79

Calls

2 calls:

47.0ms	(*.f64 z (/.f64 y (sin.f64 y)))
47.0ms	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-neg_binary64`
647×	`associate-l_binary64`
572×	`fma-def_binary64`
252×	`associate-/l*_binary64`
180×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	730
1	129	728
2	365	718
3	1171	715
4	4501	714

Stop Event

1×	node limit

Counts

139 → 97

prune82.0ms (2.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	141	6	147

Error

Counts

147 → 6

Alt Table

Status	Error	Program
✓	3.1b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
	3.2b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	9.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	2.8b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
	12.1b	(.f64 (sin.f64 y) (/.f64 x (.f64 y z)))
✓	2.7b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

Compiler

Compiled 1927 to 756 computations (60.8% saved)

regimes246.0ms (6.5%)

Accuracy

Total 0.2b remaining (90.2%)

Threshold costs 0.2b (90.2%)

Counts

28 → 3

Compiler

Compiled 2131 to 1399 computations (34.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	23	64

Stop Event

1×

saturated

end70.0ms (1.8%)

Compiler: Compiled 158 to 80 computations (49.4% saved)

Details

analyze532.0ms (14%)

sample2.0s (52.5%)

simplify7.0ms (0.2%)

prune17.0ms (0.5%)

localize6.0ms (0.2%)

series39.0ms (1%)

rewrite51.0ms (1.3%)

simplify34.0ms (0.9%)

prune109.0ms (2.9%)

localize6.0ms (0.2%)

series47.0ms (1.2%)

rewrite55.0ms (1.4%)

simplify33.0ms (0.9%)

prune99.0ms (2.6%)

localize6.0ms (0.2%)

series42.0ms (1.1%)

rewrite45.0ms (1.2%)

simplify42.0ms (1.1%)

prune99.0ms (2.6%)

localize6.0ms (0.2%)

series42.0ms (1.1%)

rewrite48.0ms (1.3%)

simplify42.0ms (1.1%)

prune82.0ms (2.2%)

regimes246.0ms (6.5%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end70.0ms (1.8%)

Profiling