Details

analyze83.0ms (4.2%)

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
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
49.9%	49.9%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
87.4%	12.5%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 13 to 8 computations (38.5% saved)

sample805.0ms (40.7%)

Infinites

21.4% of outputs are infinite.

Results

625.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify112.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

2064×	`fma-neg_binary64`
381×	`div-sub_binary64`
365×	`associate-/l*_binary64`
334×	`distribute-neg-frac_binary64`
322×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	12	11
2	25	11
3	47	11
4	82	11
5	143	11
6	228	11
7	442	11
8	1041	11
9	2472	11
10	2805	11
11	2944	11
12	3273	11
13	3441	11
14	3513	11
15	4986	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

7.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	7.1b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 42 to 21 computations (50% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	7.1b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

series25.0ms (1.3%)

Counts

2 → 72

Calls

2 calls:

15.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)
10.0ms	(fma.f64 y (-.f64 z x) x)

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 39

Calls

2 calls:

2.0ms	(/.f64 (fma.f64 y (-.f64 z x) x) z)
0.0ms	(fma.f64 y (-.f64 z x) x)

simplify91.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

615×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`
415×	`times-frac_binary64`
355×	`fma-def_binary64`
346×	`fma-neg_binary64`

Counts

111 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1462
1	170	1315
2	385	1259
3	1042	1259
4	4436	1259
5	4999	1259
6	4955	1259

prune34.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	5	66

Error

0.0b

Counts

66 → 5

Alt Table

Status	Error	Program
	4.4b	(-.f64 (+.f64 y (/.f64 x z)) (/.f64 (*.f64 y x) z))
	7.2b	(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))
	7.2b	(/.f64 1 (/.f64 z (fma.f64 y (-.f64 z x) x)))
▶	3.1b	(*.f64 1 (fma.f64 (/.f64 (-.f64 1 y) z) x y))
✓	7.1b	(/.f64 (fma.f64 y (-.f64 z x) x) z)

Compiler

Compiled 962 to 254 computations (73.6% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 y) z)
✓	3.1b	(fma.f64 (/.f64 (-.f64 1 y) z) x y)

series17.0ms (0.9%)

Counts

2 → 52

Calls

2 calls:

12.0ms	(fma.f64 (/.f64 (-.f64 1 y) z) x y)
5.0ms	(/.f64 (-.f64 1 y) z)

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64`

Counts

2 → 54

Calls

2 calls:

6.0ms	(/.f64 (-.f64 1 y) z)
0.0ms	(fma.f64 (/.f64 (-.f64 1 y) z) x y)

simplify77.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-def_binary64`
429×	`neg-mul-1_binary64`
424×	`associate-/l/_binary64`
291×	`distribute-rgt-neg-out_binary64`
281×	`fma-neg_binary64`

Counts

106 → 81

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1312
1	225	1203
2	575	1199
3	1759	1199
4	4062	1199
5	5080	1199

prune59.0ms (3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	2	3
Picked	1	0	1
Done	1	0	1
Total	82	4	86

Error

Counts

86 → 4

Alt Table

Status	Error	Program
	7.2b	(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))
▶	0.0b	(*.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))
	7.2b	(/.f64 1 (/.f64 z (fma.f64 y (-.f64 z x) x)))
	3.1b	(*.f64 1 (fma.f64 (/.f64 1 (/.f64 z (-.f64 1 y))) x y))

Compiler

Compiled 1375 to 840 computations (38.9% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (/.f64 x z) (-.f64 1 y) y)

series11.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

11.0ms

(fma.f64 (/.f64 x z) (-.f64 1 y) y)

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 (/.f64 x z) (-.f64 1 y) y)

simplify68.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

705×	`distribute-rgt-neg-out_binary64`
469×	`distribute-neg-out_binary64`
368×	`unsub-neg_binary64`
332×	`distribute-rgt-in_binary64`
326×	`distribute-lft-in_binary64`

Counts

46 → 23

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	586
1	78	509
2	194	497
3	424	497
4	2300	497
5	4502	497
6	5263	497

prune16.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Error

Counts

27 → 4

Alt Table

Status	Error	Program
	7.2b	(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))
✓	0.0b	(*.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))
	7.2b	(/.f64 1 (/.f64 z (fma.f64 y (-.f64 z x) x)))
▶	3.1b	(*.f64 1 (fma.f64 (/.f64 1 (/.f64 z (-.f64 1 y))) x y))

Compiler

Compiled 388 to 227 computations (41.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 1 y))
✓	0.1b	(/.f64 1 (/.f64 z (-.f64 1 y)))
✓	3.1b	(fma.f64 (/.f64 1 (/.f64 z (-.f64 1 y))) x y)

series27.0ms (1.4%)

Counts

3 → 72

Calls

3 calls:

12.0ms	(fma.f64 (/.f64 1 (/.f64 z (-.f64 1 y))) x y)
9.0ms	(/.f64 z (-.f64 1 y))
5.0ms	(/.f64 1 (/.f64 z (-.f64 1 y)))

rewrite25.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64`
127×	`*-un-lft-identity_binary64`
127×	`add-sqr-sqrt_binary64`
79×	`add-cube-cbrt_binary64`
32×	`difference-of-squares_binary64`

Counts

3 → 175

Calls

3 calls:

9.0ms	(/.f64 1 (/.f64 z (-.f64 1 y)))
4.0ms	(/.f64 z (-.f64 1 y))
0.0ms	(fma.f64 (/.f64 1 (/.f64 z (-.f64 1 y))) x y)

simplify157.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

293×	`fma-def_binary64`
292×	`neg-mul-1_binary64`
276×	`div-sub_binary64`
261×	`fma-neg_binary64`
209×	`times-frac_binary64`

Counts

247 → 247

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	3876
1	389	3452
2	1090	3341
3	2995	3341
4	4619	3341
5	5103	3341

prune167.0ms (8.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	247	4	251

Error

Counts

251 → 4

Alt Table

Status	Error	Program
	7.2b	(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 1 z))
✓	0.0b	(*.f64 1 (fma.f64 (/.f64 x z) (-.f64 1 y) y))
	7.2b	(/.f64 1 (/.f64 z (fma.f64 y (-.f64 z x) x)))
✓	3.1b	(*.f64 1 (fma.f64 (/.f64 1 (/.f64 z (-.f64 1 y))) x y))

Compiler

Compiled 5056 to 3292 computations (34.9% saved)

regimes101.0ms (5.1%)

Accuracy

Total 0.0b remaining (83.7%)

Threshold costs 0.0b (83.7%)

Counts

31 → 1

Compiler

Compiled 1564 to 1004 computations (35.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-lft-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	20	11
4	21	11
5	20	11

end57.0ms (2.9%)

Compiler: Compiled 76 to 50 computations (34.2% saved)

Details

analyze83.0ms (4.2%)

sample805.0ms (40.7%)

simplify112.0ms (5.7%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series25.0ms (1.3%)

rewrite4.0ms (0.2%)

simplify91.0ms (4.6%)

prune34.0ms (1.7%)

localize8.0ms (0.4%)

series17.0ms (0.9%)

rewrite9.0ms (0.5%)

simplify77.0ms (3.9%)

prune59.0ms (3%)

localize6.0ms (0.3%)

series11.0ms (0.6%)

rewrite1.0ms (0%)

simplify68.0ms (3.4%)

prune16.0ms (0.8%)

localize7.0ms (0.4%)

series27.0ms (1.4%)

rewrite25.0ms (1.3%)

simplify157.0ms (7.9%)

prune167.0ms (8.4%)

regimes101.0ms (5.1%)

simplify2.0ms (0.1%)

end57.0ms (2.9%)

Profiling