Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample639.0ms (35.8%)

Infinites

20.6% of outputs are infinite.

Results

546.0ms	7976×	body	128	valid
23.0ms	132×	body	1024	valid
15.0ms	105×	body	512	valid
4.0ms	43×	body	256	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify8.0ms (0.4%)

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 (0.2%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

9.0ms

(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))

simplify98.0ms (5.5%)

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 (1%)

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)))
	2.6b	(+.f64 (.f64 y x) (+.f64 (.f64 z x) (*.f64 5 z)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 368 to 176 computations (52.2% saved)

localize5.0ms (0.3%)

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 (1%)

Counts

2 → 72

Calls

2 calls:

10.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))
7.0ms	(*.f64 x (+.f64 z y))

rewrite6.0ms (0.3%)

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)))

simplify69.0ms (3.9%)

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 (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Error

0.0b

Counts

72 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
▶	1.6b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 890 to 362 computations (59.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (+.f64 x 5))
✓	1.5b	(fma.f64 y x (*.f64 z (+.f64 x 5)))

series13.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(fma.f64 y x (*.f64 z (+.f64 x 5)))
4.0ms	(*.f64 z (+.f64 x 5))

rewrite6.0ms (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:

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

simplify110.0ms (6.2%)

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 → 58

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

prune32.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	58	3	61

Error

Counts

61 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
✓	1.6b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
▶	21.6b	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))

Compiler

Compiled 782 to 434 computations (44.5% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))
✓	1.5b	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))
✓	2.4b	(*.f64 z (+.f64 (pow.f64 x 3) 125))
✓	18.4b	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))

series149.0ms (8.4%)

Counts

4 → 96

Calls

4 calls:

75.0ms	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))
59.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
13.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
2.0ms	(+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))

rewrite29.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

12.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
7.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
7.0ms	(+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))
0.0ms	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))

simplify83.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

721×	`distribute-rgt-in_binary64`
696×	`distribute-lft-in_binary64`
520×	`times-frac_binary64`
503×	`fma-def_binary64`
105×	`associate-l_binary64`

Counts

177 → 170

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	3529
1	424	3118
2	1661	2675
3	5427	2675

prune144.0ms (8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	170	3	173

Error

Counts

173 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
✓	1.6b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
✓	21.6b	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))

Compiler

Compiled 4720 to 3160 computations (33.1% saved)

regimes222.0ms (12.4%)

Accuracy

Total 0.0b remaining (79.3%)

Threshold costs 0.0b (79.3%)

Counts

55 → 1

Compiler

Compiled 3660 to 2562 computations (30% saved)

simplify3.0ms (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

end60.0ms (3.4%)

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

Details

analyze2.0ms (0.1%)

sample639.0ms (35.8%)

simplify8.0ms (0.4%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series9.0ms (0.5%)

rewrite1.0ms (0%)

simplify98.0ms (5.5%)

prune19.0ms (1%)

localize5.0ms (0.3%)

series17.0ms (1%)

rewrite6.0ms (0.3%)

simplify69.0ms (3.9%)

prune36.0ms (2%)

localize5.0ms (0.3%)

series13.0ms (0.7%)

rewrite6.0ms (0.4%)

simplify110.0ms (6.2%)

prune32.0ms (1.8%)

localize14.0ms (0.8%)

series149.0ms (8.4%)

rewrite29.0ms (1.6%)

simplify83.0ms (4.6%)

prune144.0ms (8%)

regimes222.0ms (12.4%)

simplify3.0ms (0.1%)

end60.0ms (3.4%)

Profiling