Details

analyze415.0ms (15.9%)

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.3s (50.5%)

Results

1.1s	7913×	body	128	valid
71.0ms	715×	body	128	invalid
47.0ms	173×	body	1024	valid
31.0ms	115×	body	512	valid
10.0ms	55×	body	256	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	20	11
2	31	11
3	45	11
4	54	11
5	55	11
6	53	11

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(fma.f64 x (+.f64 y z) (*.f64 z 5))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 x (+.f64 y z) (*.f64 z 5))

simplify101.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

620×	`unswap-sqr_binary64`
584×	`distribute-rgt-in_binary64`
582×	`*-commutative_binary64`
579×	`distribute-lft-in_binary64`
488×	`distribute-rgt-out_binary64`

Counts

46 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	514
1	38	488
2	88	488
3	368	488
4	2137	488
5	1950	488
6	2200	488
7	2601	488
8	3098	488
9	3182	488
10	4808	488
11	5003	488

prune19.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Error

0.0b

Counts

28 → 4

Alt Table

Status	Error	Program
	0.1b	(+.f64 (.f64 y x) (+.f64 (.f64 z x) (*.f64 5 z)))
	39.1b	(cbrt.f64 (pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3))
▶	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 396 to 196 computations (50.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 z y))
✓	0.1b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

series17.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

11.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))
6.0ms	(*.f64 x (+.f64 z y))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(*.f64 x (+.f64 z y))
0.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))

simplify71.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

863×	`associate-+l+_binary64`
811×	`fma-def_binary64`
666×	`unswap-sqr_binary64`
295×	`associate-l_binary64`
281×	`distribute-lft-in_binary64`

Counts

107 → 69

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	1035
1	159	955
2	476	955
3	1283	955
4	2254	955
5	3796	955
6	4987	955

prune36.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	70	3	73

Error

0.0b

Counts

73 → 3

Alt Table

Status	Error	Program
	39.1b	(cbrt.f64 (pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3))
▶	0.0b	(fma.f64 5 z (+.f64 (.f64 y x) (.f64 z x)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 911 to 377 computations (58.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (.f64 z x))
✓	0.1b	(fma.f64 5 z (+.f64 (.f64 y x) (.f64 z x)))

series14.0ms (0.5%)

Counts

2 → 54

Calls

2 calls:

7.0ms	(fma.f64 5 z (+.f64 (.f64 y x) (.f64 z x)))
7.0ms	(+.f64 (.f64 y x) (.f64 z x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+.f64 (.f64 y x) (.f64 z x))
0.0ms	(fma.f64 5 z (+.f64 (.f64 y x) (.f64 z x)))

simplify74.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

671×	`distribute-rgt-in_binary64`
629×	`distribute-lft-in_binary64`
604×	`unswap-sqr_binary64`
304×	`associate-l_binary64`
296×	`*-commutative_binary64`

Counts

79 → 53

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	829
1	142	761
2	469	760
3	1467	757
4	3486	757
5	4522	757
6	5215	757

prune23.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	53	3	56

Error

0.0b

Counts

56 → 3

Alt Table

Status	Error	Program
▶	39.1b	(cbrt.f64 (pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3))
✓	0.0b	(fma.f64 5 z (+.f64 (.f64 y x) (.f64 z x)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 788 to 307 computations (61% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (+.f64 z y))
	0.1b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
✓	0.3b	(pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3)
✓	37.3b	(cbrt.f64 (pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3))

series44.0ms (1.7%)

Counts

2 → 72

Calls

2 calls:

36.0ms	(pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3)
7.0ms	(cbrt.f64 (pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cube-prod_binary64`

Counts

2 → 48

Calls

2 calls:

2.0ms	(cbrt.f64 (pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3))
1.0ms	(pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3)

simplify141.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

493×	`+-commutative_binary64`
322×	`exp-prod_binary64`
317×	`*-commutative_binary64`
295×	`unswap-sqr_binary64`
284×	`distribute-lft-out_binary64`

Counts

120 → 102

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	163	4111
1	450	3920
2	1631	3552
3	3369	3495
4	4796	3492
5	5081	3492

prune90.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	171	3	174

Error

0.0b

Counts

174 → 3

Alt Table

Status	Error	Program
✓	39.1b	(cbrt.f64 (pow.f64 (fma.f64 5 z (*.f64 x (+.f64 z y))) 3))
✓	0.0b	(fma.f64 5 z (+.f64 (.f64 y x) (.f64 z x)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 3694 to 2142 computations (42% saved)

regimes136.0ms (5.2%)

Accuracy

Total 0.0b remaining (69.3%)

Threshold costs 0.0b (69.3%)

Counts

37 → 1

Compiler

Compiled 1640 to 1162 computations (29.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
2	9	12

end49.0ms (1.9%)

Compiler: Compiled 62 to 39 computations (37.1% saved)

Details

analyze415.0ms (15.9%)

sample1.3s (50.5%)

simplify8.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite1.0ms (0%)

simplify101.0ms (3.9%)

prune19.0ms (0.7%)

localize5.0ms (0.2%)

series17.0ms (0.6%)

rewrite6.0ms (0.2%)

simplify71.0ms (2.7%)

prune36.0ms (1.4%)

localize6.0ms (0.2%)

series14.0ms (0.5%)

rewrite4.0ms (0.1%)

simplify74.0ms (2.8%)

prune23.0ms (0.9%)

localize9.0ms (0.4%)

series44.0ms (1.7%)

rewrite6.0ms (0.2%)

simplify141.0ms (5.4%)

prune90.0ms (3.5%)

regimes136.0ms (5.2%)

simplify2.0ms (0.1%)

end49.0ms (1.9%)

Profiling