Details

analyze562.0ms (13.5%)

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 (48.2%)

Results

750.0ms	1404×	body	1024	valid
728.0ms	5604×	body	128	valid
279.0ms	828×	body	512	valid
104.0ms	417×	body	256	valid
74.0ms	548×	body	128	invalid
19.0ms	59×	body	512	invalid
9.0ms	38×	body	256	invalid
8.0ms	17×	body	1024	invalid
3.0ms	3×	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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	24	12
3	48	12
4	63	12
5	68	12
6	68	12

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

3.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	3.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize8.0ms (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)
✓	3.1b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series41.0ms (1%)

Counts

3 → 64

Calls

3 calls:

27.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite58.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

116× egg-rr

Counts

3 → 116

Calls

2 calls:

56.0ms	((/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) (/.f64 (sin.f64 y) y) (.f64 x (/.f64 (sin.f64 y) y)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	172	27
2	2449	27
3	5062	27
0	0	0
1	0	0

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

695×	`fma-def_binary64`
644×	`associate-l_binary64`
538×	`cancel-sign-sub-inv_binary64`
402×	`associate-/l*_binary64`
366×	`fma-neg_binary64`

Counts

180 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	790
1	144	783
2	404	765
3	1212	759
4	4168	759
5	4875	759
6	5053	759

prune104.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	132	7	139
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	8	140

Error

0.0b

Counts

140 → 8

Alt Table

Status	Error	Program
	6.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	27.6b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) 3))
	8.0b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
✓	3.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	21.1b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) 2) (cbrt.f64 (.f64 z z))) (cbrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)))
	2.8b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
▶	1.3b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	2.8b	(.f64 x (/.f64 1 (.f64 z (/.f64 y (sin.f64 y)))))

Compiler

Compiled 2093 to 857 computations (59.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(*.f64 x (/.f64 1 z))
✓	1.1b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))

series33.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

27.0ms	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
6.0ms	(*.f64 x (/.f64 1 z))

rewrite58.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

73× egg-rr

Counts

2 → 73

Calls

2 calls:

56.0ms	((.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z))) (*.f64 x (/.f64 1 z)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	208	16
2	2607	16
3	4982	16
0	0	0
1	0	0

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-neg_binary64`
608×	`distribute-rgt-neg-in_binary64`
392×	`associate-r_binary64`
347×	`associate-l_binary64`
286×	`unswap-sqr_binary64`

Counts

133 → 79

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	580
1	85	580
2	233	576
3	659	574
4	2744	570
5	5023	570

prune180.0ms (4.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	123	9	132

Error

Counts

132 → 9

Alt Table

Status	Error	Program
✓	1.3b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3) (.f64 x (/.f64 1 z)))
	6.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
▶	1.2b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
	5.0b	(/.f64 (sin.f64 y) (/.f64 y (/.f64 x z)))
✓	3.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	2.8b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
	1.2b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 z x)))
	2.8b	(.f64 x (/.f64 1 (.f64 z (/.f64 y (sin.f64 y)))))

Compiler

Compiled 1881 to 856 computations (54.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	1.1b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))

series35.0ms (0.8%)

Counts

2 → 40

Calls

2 calls:

27.0ms	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
7.0ms	(/.f64 y (sin.f64 y))

rewrite89.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

90× egg-rr

Counts

2 → 90

Calls

2 calls:

87.0ms	((/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	178	18
2	2664	18
3	4983	18
4	5858	18
0	0	0
1	0	0

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-neg_binary64`
479×	`associate-r_binary64`
475×	`associate-l_binary64`
348×	`fma-def_binary64`
286×	`unswap-sqr_binary64`

Counts

130 → 105

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	536
1	113	534
2	300	528
3	836	524
4	3282	520
5	5003	520

prune122.0ms (2.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	106	8	114

Error

Counts

114 → 8

Alt Table

Status	Error	Program
	4.9b	(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
	2.8b	(.f64 x (/.f64 1 (.f64 z (/.f64 y (sin.f64 y)))))
	6.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	1.2b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
✓	3.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	1.4b	(/.f64 (/.f64 x z) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	1.3b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
▶	1.2b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 z x)))

Compiler

Compiled 1631 to 603 computations (63% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.4b	(/.f64 1 (/.f64 z x))
✓	1.1b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 z x)))

series34.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

28.0ms	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 z x)))
6.0ms	(/.f64 1 (/.f64 z x))

rewrite63.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

96× egg-rr

Counts

2 → 96

Calls

2 calls:

61.0ms	((*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 z x))) (/.f64 1 (/.f64 z x)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	217	16
2	2897	16
3	5256	16
0	0	0
1	0	0

simplify45.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-neg_binary64`
608×	`distribute-rgt-neg-in_binary64`
392×	`associate-r_binary64`
347×	`associate-l_binary64`
286×	`unswap-sqr_binary64`

Counts

156 → 105

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	580
1	85	580
2	233	576
3	659	574
4	2744	570
5	5023	570

prune149.0ms (3.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	150	8	158

Error

Counts

158 → 8

Alt Table

Status	Error	Program
	4.9b	(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y))
	2.8b	(.f64 x (/.f64 1 (.f64 z (/.f64 y (sin.f64 y)))))
	6.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	1.2b	(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y)))
✓	3.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
	1.4b	(/.f64 (/.f64 x z) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	1.3b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x (/.f64 1 z)))
✓	1.2b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 (/.f64 z x)))

Compiler

Compiled 2140 to 830 computations (61.2% saved)

regimes280.0ms (6.7%)

Accuracy

Total 3.0b remaining (99.5%)

Threshold costs 0b (0%)

Counts

44 → 1

Compiler

Compiled 3946 to 2550 computations (35.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	8	12

end82.0ms (2%)

Compiler: Compiled 119 to 79 computations (33.6% saved)

Details

analyze562.0ms (13.5%)

sample2.0s (48.2%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series41.0ms (1%)

rewrite58.0ms (1.4%)

simplify80.0ms (1.9%)

prune104.0ms (2.5%)

localize7.0ms (0.2%)

series33.0ms (0.8%)

rewrite58.0ms (1.4%)

simplify47.0ms (1.1%)

prune180.0ms (4.3%)

localize6.0ms (0.1%)

series35.0ms (0.8%)

rewrite89.0ms (2.1%)

simplify54.0ms (1.3%)

prune122.0ms (2.9%)

localize7.0ms (0.2%)

series34.0ms (0.8%)

rewrite63.0ms (1.5%)

simplify45.0ms (1.1%)

prune149.0ms (3.6%)

regimes280.0ms (6.7%)

simplify2.0ms (0%)

end82.0ms (2%)

Profiling