Details

analyze758.0ms (27%)

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)

sample973.0ms (34.7%)

Results

800.0ms	7959×	body	128	valid
69.0ms	698×	body	128	invalid
45.0ms	158×	body	1024	valid
19.0ms	90×	body	512	valid
7.0ms	49×	body	256	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify7.0ms (0.2%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize6.0ms (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))

simplify96.0ms (3.4%)

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

prune17.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

0.0b

Counts

28 → 3

Alt Table

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

Compiler

Compiled 368 to 176 computations (52.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series19.0ms (0.7%)

Counts

2 → 72

Calls

2 calls:

14.0ms	(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:

4.0ms	(*.f64 x (+.f64 z y))
0.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))

simplify73.0ms (2.6%)

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

prune32.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	70	2	72

Error

0.0b

Counts

72 → 2

Alt Table

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

Compiler

Compiled 879 to 355 computations (59.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series11.0ms (0.4%)

Counts

2 → 60

Calls

2 calls:

7.0ms	(fma.f64 y x (*.f64 z (+.f64 x 5)))
4.0ms	(*.f64 z (+.f64 x 5))

rewrite11.0ms (0.4%)

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:

4.0ms	(*.f64 z (+.f64 x 5))
0.0ms	(fma.f64 y x (*.f64 z (+.f64 x 5)))

simplify111.0ms (4%)

Algorithm

1×	egg-herbie

Rules

863×	`fma-def_binary64`
652×	`unswap-sqr_binary64`
370×	`+-commutative_binary64`
335×	`associate-+r+_binary64`
334×	`associate-+l+_binary64`

Counts

95 → 68

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	925
1	149	872
2	454	872
3	1290	872
4	2505	872
5	3028	872
6	4357	872
7	3995	872
8	4894	872
9	4917	872

prune38.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Error

Counts

70 → 3

Alt Table

Status	Error	Program
▶	12.6b	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
✓	0.0b	(fma.f64 y x (*.f64 z (+.f64 x 5)))

Compiler

Compiled 937 to 546 computations (41.7% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))
✓	0.0b	(-.f64 (.f64 5 5) (.f64 x 5))
✓	3.1b	(*.f64 z (+.f64 (pow.f64 x 3) 125))
✓	9.3b	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))

series74.0ms (2.7%)

Counts

4 → 72

Calls

4 calls:

58.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
12.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
3.0ms	(+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))
1.0ms	(-.f64 (.f64 5 5) (.f64 x 5))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64`
11×	`add-log-exp_binary64`
11×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

4 → 88

Calls

4 calls:

10.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
6.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
5.0ms	(+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))
3.0ms	(-.f64 (.f64 5 5) (.f64 x 5))

simplify65.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

703×	`distribute-rgt-in_binary64`
671×	`distribute-lft-in_binary64`
602×	`fma-def_binary64`
507×	`times-frac_binary64`
143×	`cancel-sign-sub-inv_binary64`

Counts

160 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2454
1	414	2148
2	1666	1955
3	5462	1955

prune147.0ms (5.2%)

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

Counts

174 → 3

Alt Table

Status	Error	Program
✓	12.6b	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
✓	0.0b	(fma.f64 y x (*.f64 z (+.f64 x 5)))

Compiler

Compiled 4776 to 3197 computations (33.1% saved)

regimes244.0ms (8.7%)

Accuracy

Total 0.0b remaining (76.2%)

Threshold costs 0.0b (76.2%)

Counts

56 → 1

Compiler

Compiled 3816 to 2662 computations (30.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
2	10	11

end51.0ms (1.8%)

Compiler: Compiled 69 to 46 computations (33.3% saved)

Details

analyze758.0ms (27%)

sample973.0ms (34.7%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series7.0ms (0.3%)

rewrite1.0ms (0%)

simplify96.0ms (3.4%)

prune17.0ms (0.6%)

localize5.0ms (0.2%)

series19.0ms (0.7%)

rewrite6.0ms (0.2%)

simplify73.0ms (2.6%)

prune32.0ms (1.1%)

localize6.0ms (0.2%)

series11.0ms (0.4%)

rewrite11.0ms (0.4%)

simplify111.0ms (4%)

prune38.0ms (1.3%)

localize14.0ms (0.5%)

series74.0ms (2.7%)

rewrite29.0ms (1%)

simplify65.0ms (2.3%)

prune147.0ms (5.2%)

regimes244.0ms (8.7%)

simplify2.0ms (0.1%)

end51.0ms (1.8%)

Profiling